Previous Page
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Evokation
 
 
Index
 

 

 

M
=
4
-
4
MIND
40
22
4
S
=
1
-
6
SPIRIT
91
37
1
M
=
4
-
6
MATTER
77
23
5
-
-
9
4
16
First Total
208
82
10
-
-
-
-
1+6
Add to Reduce
2+0+8
8+2
1+0
-
-
9
-
7
Second Total
10
10
1
-
-
-
4
-
Reduce to Deduce
1+0
1+0
-
-
-
9
5
7
Essence of Number
1
1
1

 

 

Many Are Called, Few Are Chosen - Church of the Great God
https://www.cgg.org/index.cfm/fuseaction/.../Many-Are-Called-Few-Are-Chosen.htm

1 Mar 2016 - God's calling and predestination can be confusing, especially the verse that 'many are called, but few are chosen'

 

Matthew 22 - Many are Called, Few are Chosen - Wolf Creek Baptist ...
www.wolfcreekbaptist.com/index.../1668-matthew-22-many-are-called-few-are-chose...

Turn in your Bibles to Matthew 22:1;. 22 And Jesus answered and spoke to them again by parables and said: 2 “The kingdom of heaven is like a certain king ...

 

Many are called but few are chosen' - the meaning and origin of this ...
https://www.phrases.org.uk/meanings/244200.html

Many are called but few are chosen. What's the meaning of the phrase 'Many are called but few are chosen'?. Literal meaning, alluding to the variety in qualities ...

 

'Many are called but few are chosen'

 

M
=
4
-
4
MANY
53
17
8
A
=
1
-
3
ARE
24
15
6
C
=
3
-
6
CALLED
37
19
1
B
=
2
-
3
BUT
43
7
7
F
=
6
-
3
FEW
34
16
7
A
=
1
-
3
ARE
24
15
6
C
=
3
-
6
CHOSEN
64
28
1
-
-
20
4
28
First Total
279
117
36
-
-
2+0
-
2+8
Add to Reduce
2+7+9
1+1+7
3+6
-
-
2
-
10
Second Total
18
9
9
-
-
-
4
1+0
Reduce to Deduce
1+8
-
-
-
-
2
5
1
Essence of Number
9
9
9

 

 

4
MANY
53
17
8
9
ARE+CALLED
61
34
7
3
BUT
43
7
7
3
FEW
34
16
7
9
ARE+ CHOSEN
88
43
7
28
First Total
279
117
36
2+8
Add to Reduce
2+7+9
1+1+7
3+6
10
Second Total
18
9
9
1+0
Reduce to Deduce
1+8
-
-
1
Essence of Number
9
9
9

 

 

Mysteries of the snowflake: The curious world of ... - The Independent

www.independent.co.uk › News › Environment › Nature‎

 

THE INDEPENDENT MAGAZINE

Wednesday 11 September 2013

THE MYSTERIES OF THE SNOWFLAKE

Pages 14/15/17/18

Mysteries of the snowflake: The curious world of ... - The Independent

www.independent.co.uk › News › Environment › Nature‎

5 Jan 2013 - Mysteries of the snowflake: The curious world of the ice-crystal experts ... The ice crystals, nestling in the ice clouds as unborn snowflakes, ...

Everybody loves snow, right? But not many of us are obsessed, like the scientists who study these icy enigmas. Nicola Gill enters the curious world of 'dendrites' and 'plates'

Dr Chris Westbrook works in deepest Hampshire at the Chilbolton Observatory, home to the world’s largest steerable radar dish, at a whopping 25 metres across. Inside his laboratory, lights blink and instruments receive continuous feedback from the giant dish pointed skywards and looming ever-present outside the window.

But even on the hottest summer day, while the other denizens of Chilbolton parish are enjoying Pimm’s on their sun-loungers, Dr Westbrook is buried deep in snowflakes. “The radar dish sends out microwave pulses into ice clouds high up in the atmosphere where the temperature is always well below freezing – whatever it is down here,” he says. The ice crystals, nestling in the ice clouds as unborn snowflakes, bounce those microwaves back and the echoes which return are pored over and analysed by Dr Westbrook and his team.

“"We have the most sensitive equipment for studying ice clouds in the world," he says. Westbrook is one of just a tiny handful of snowflake researchers in the world, a group of obsessives who live and breathe snow – fixated on chasing the perfect flake and understanding exactly which weather conditions will produce the many different formations. “It may seem slightly odd that I’ve devoted myself to studying snowflakes when the UK isn’t renowned as an especially snowy place,” he continues, “but, in fact, the vast majority of precipitation in this country starts as snow, which melts high above us and then falls as rain, which we certainly do have a lot of. So if you want to predict precipitation you need to study snow and how it forms.”

So far, so dispassionate; ask Dr Westbrook if he likes making snowmen and he rather frostily replies that he’s as keen as the next man (“but I have a degree in physics and electrical engineering and where others see a winter wonderland I see physics in action”). But ask him about the way snowflakes are formed and fall to earth and the amazed child inside emerges as he describes the physics-meets-fairytale element of his work.

“The aerodynamics of snowflakes have an inherently mysterious quality we’ve yet to crack,” he enthuses. “We classify their falling style in four unique ways: the ‘tumble’ is a sort of head-over-heels action, the ‘spin’ is a vertical downwards motion with a built-in rotation, the ‘pitch and glide’ is best described as a zig-zag and the ‘twirl’ is how we describe a snowflake that’s descending while spinning and rotating at an angle. Which they do depends on how fast they fall and their size, but it’s a puzzle that’s not solved and we don’t know why they behave as they do all of the time. As for the intricate formations of individual flakes, I defy anyone not to be amazed.”

Of course, it’s those spectacular shapes – some like icy fireworks caught mid-explosion, others frozen, fantastical many-armed sea creatures – that fascinate the rest of us non-scientists. Nearly all snowflakes (or snow crystals as scientists insist on calling them, as a large flake can actually be made up of several crystals that clump together on their drift earthwards) have six-sided symmetry, though three- or 12-sided crystals also fall. You will never see a snow crystal with four, five or eight sides. It was ancient Chinese scholars who first noted their sixfold symmetry and they made beautiful complex categories and charts detailing their infinite variety and grouping them into types; as no two snowflakes can ever be identical.

Broadly speaking (there are several competing classification systems), the classic, celebrated Christmas-card snowflake is categorised as a dendrite (meaning tree-like, with branches and side-branches). These are the iconic superstars of the snowflake world, hogging all the glory and most of the photo-opportunities. They can be sub-categorised as stellar, radiating or fern-like. As if winning the beauty contest weren’t enough, dendrites’ supermodel qualities (they can be extremely thin and light) also mean they make the best powder snow for skiing.

Next in line, the supporting cast, are the plates (stellar, sectored or split) with 12-sided flakes bringing up the rear. The ugly sisters, which in reality make up the vast majority of snowflakes, are the rather dull, hollow and capped columns, needles, simple prisms, bullet rosettes and asymmetrical specks, doomed forever to be the boring, bitty, non-showbiz flakes we brush off our sleeves with nary an “ooh” or an “aah”.

The categorisation of snowflakes has a long history. In 1655, Robert Hooke published a f large volume called Micrographia, containing his sketches of snowflakes viewed for the first time under the new invention of the day, the microscope. American farmer, Wilson ‘Snowflake’ Bentley, devoted most of his life to capturing images of snow crystals and his famous book of that name is still in print to this day. Japanese physicist Ukichiro Nakaya created the first truly systemic classification scheme for snowflakes in 1934, in which he subdivided falling flakes into 41 individual types which meteorologists Magono and Lee almost doubled by producing a chart of 80 different types in 1966. Mathematician and philosopher René Descartes is one of many fine minds through the ages to be fascinated by snowflakes and to ponder how such perfection could be created.

While every flake really is a law unto itself, other supposed snow ‘facts’ are not quite so true. The oft-quoted idea that it’s ‘too cold to snow’ is nonsense (it snows at the South Pole where it’s rarely above -40C), and even the apparent truism that snow is white turns out to be slushy logic. Ice crystals are clear, like glass, but when they form a large pile, light is reflected off the surface, bounces around and eventually scatters back out. Since all colours are scattered roughly equally, snow only appears to be white.

These, and many other reasons, are why world-renowned snowflake obsessive, California-based Ken Libbrecht, has made it his life’s work to study, photograph and ‘grow’ snowflakes. The author of several beautiful books showcasing his favourite flakes out of the 7,000 he has photographed, he lives and breathes dendrites, rosettes and plates. “There is something magical about snowflakes,” he says from his laboratory in Pasadena. “You don’t often see such complex symmetry in nature and that makes them extraordinary. The whole intriguing structure of a snow crystal simply arises quite literally out of thin air, as it tumbles through the clouds. The way the crystal grows depends on the temperature it is shaped in – a simple enough idea to grasp – but the underlying physics is fiendishly complicated and has remained a puzzle. I spend a lot, and I mean a lot, of time thinking about this.”

As Libbrecht explains, the life of a snowflake is a hidden, epic, scientific journey in which it transforms through liquid, gas and solid states. “Snowflakes begin life as water vapour in the air – evaporated from oceans, plants, even your breath – and when air cools down at some point the water vapour will condense out. Near the ground it could, for example, be as dew, but higher up it condenses on to airborne dust particles into countless minute droplets. A cloud is just a huge collection of these water droplets suspended in the atmosphere.”

The next stage is where it gets exciting, say Libbrecht. Depending on conditions, these droplets could fall as dreary rain, sleet or hail, or descend as mist or fog. But when conditions are right, the alchemy occurs and these minute droplets metamorphise into something more impressive. “At around -10C, the droplets gradually freeze into minuscule particles of ice,” he says. “When humidity is high enough, water vapour condenses on to its surface, gradually building a snowflake. At first they are very small and mostly in the form of simple, hexagonal prisms – but as they grow, the branches sprout from the corners to make ever more complicated shapes.”

By growing crystals in his lab, Libbrecht has learnt how the multitudes of varying shapes depend almost entirely on the temperature and humidity. For example, thin plates and stars grow around -2C, while columns and slender needles appear near -5C. Plates and stars form around -15C and a combination of plates and columns are made at around -30C.

Libbrecht’s devotion to dendrites has led him halfway around the world and he thinks nothing of basing holidays with his wife and two children exclusively around snowflake sightseeing. On one trip, he took his young children to Japan, where snowflakes are virtually a national craze. “Snow-crystal tourist spots are popular with the Japanese and I flew my family over for a winter holiday to the northern island of Hokkaido, home to the Museum of Snow and Ice, where even the doorknobs are in the shape of snowflakes. Admittedly, it’s not your usual family getaway, but my children know all about capped columns and other snowflake forms. They’re both in college now, but my daughter definitely gets a kick out of telling friends her dad is a snowflake scientist.”

At dinner parties, when asked what he does, Libbrecht says, “I like to lead with the science,” but admits that people are really only interested in his photographs and the pretty patterns of individual flakes, and unlikely to want to hear about the convection chamber where he conjures snowflakes into existence. “Basically, it’s just a cold chamber about a metre tall, with two containers of heated water on the bottom. Convection mixes the water vapour into the cold air creating super-saturated conditions for growing snowflakes. We nucleate crystals by dropping a speck of dry ice in the chamber and the crystals float until they grow to about 10-100 microns in size, when they fall to the bottom of the chamber.”

Inevitably, though, the most common question is, how can Libbrecht be so sure no two snowflakes are ever identical? He likes to tell people that physics has a Zen-like answer, “which is that it depends largely on what you mean by the question. The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf, then the number of ways of making a complex snowflake is so staggeringly large that, over the history of our planet, I’m confident no two identical flakes have ever fallen. The long answer is more involved – depending on what you mean by ‘alike’ andsnowflake’. There could be some extremely small, simple-shaped crystals that looked so alike under a microscope as to be indistinguishable – and if you sifted through enough Arctic snow, where these simple crystals are common, you could probably find a few twins.”

If you thought snowflakes were the ultimate in nature’s micro-level majesty, ice crystals have one more trick up their sleeve, one that almost none of us will ever see, unless we find ourselves at the South Pole. Ice crystal halos are produced in the same way as rainbows, except that the sunlight (or moonlight) refracts from ice crystals instead of water. In other words, instead of being rainbows, they are ‘snowbows’, and, says Libbrecht, “simply exquisite”.

Does he ever wonder, staring for years on end at the so-far-impenetrable and wondrous beauty of his subjects, if only a higher hand could have made them? “No,” he says bluntly, the scientist firmly back at the helm. Of course there’s still one obvious question that always come up before pudding that he’s more than happy to elaborate on. Why does he do it?

“Humans usually make a thing by starting with a block of material and carving from it,” says Libbrecht. “Computers, for example, are made by patterning intricate circuits on silicon wafers, but in nature things simply assemble themselves. Cells grow and divide, forming complex organisms. Even extremely sophisticated computers like your brain arise from self-assembly. Your DNA does not contain nearly enough information to guide the placement of every cell in your body, most of that structure arises spontaneously as you grow.”

The snowflake is a very simple example of self-assembly. “There is no blueprint or genetic code that guides the growth of a snowflake, yet marvellously complex structures appear, quite literally out of thin air.” As the electronics industry pushes toward ever smaller devices, it is likely that self-assembly will play an increasingly important role in manufacturing, and Libbrecht’s work could contribute to that. But neither he nor Westbrook care much about that, they just revel in the joy of unravelling the tantalising mystery of snowflakes.

“Einstein didn’t worry about the practical applications of relativity, he just wanted to understand how nature worked. Snowflakes are remarkable structures that simply fall from the sky. With over six billion people on the planet, surely a few of us can be spared to ponder the subtle mysteries of snowflakes.”

 

Mysteries of the snowflake: The curious world of ... - The Independent

www.independent.co.uk › News › Environment › Nature‎

 

THE INDEPENDENT MAGAZINE

Wednesday 11 September 2013

THE MYSTERIES OF THE SNOWFLAKE

Pages 14/15/17/18

Mysteries of the snowflake: The curious world of ... - The Independent

www.independent.co.uk › News › Environment › Nature‎

 

5 Jan 2013 - Mysteries of the snowflake: The curious world of the ice-crystal experts ... The ice crystals, nestling in the ice clouds as unborn snowflakes, ...

Everybody loves snow, right? But not many of us are obsessed, like the scientists who study these icy enigmas. Nicola Gill enters the curious world of 'dendrites' and 'plates'

Mathematician and philosopher René Descartes is one of many fine minds through the ages to be fascinated by snowflakes and to ponder how such perfection could be created.

While every flake really is a law unto itself, other supposed snow ‘facts’ are not quite so true. The oft-quoted idea that it’s ‘too cold to snow’ is nonsense (it snows at the South Pole where it’s rarely above -40C), and even the apparent truism that snow is white turns out to be slushy logic. Ice crystals are clear, like glass, but when they form a large pile, light is reflected off the surface, bounces around and eventually scatters back out. Since all colours are scattered roughly equally, snow only appears to be white.

These, and many other reasons, are why world-renowned snowflake obsessive, California-based Ken Libbrecht, has made it his life’s work to study, photograph and ‘grow’ snowflakes. The author of several beautiful books showcasing his favourite flakes out of the 7,000 he has photographed, he lives and breathes dendrites, rosettes and plates. “There is something magical about snowflakes,” he says from his laboratory in Pasadena. “You don’t often see such complex symmetry in nature and that makes them extraordinary. The whole intriguing structure of a snow crystal simply arises quite literally out of thin air, as it tumbles through the clouds. The way the crystal grows depends on the temperature it is shaped in – a simple enough idea to grasp – but the underlying physics is fiendishly complicated and has remained a puzzle. I spend a lot, and I mean a lot, of time thinking about this.”

Inevitably, though, the most common question is, how can Libbrecht be so sure no two snowflakes are ever identical? He likes to tell people that physics has a Zen-like answer, “which is that it depends largely on what you mean by the question. The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf, then the number of ways of making a complex snowflake is so staggeringly large that, over the history of our planet, I’m confident no two identical flakes have ever fallen. The long answer is more involved – depending on what you mean by ‘alike’ andsnowflake’. There could be some extremely small, simple-shaped crystals that looked so alike under a microscope as to be indistinguishable – and if you sifted through enough Arctic snow, where these simple crystals are common, you could probably find a few twins.”

The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf,

 

 

SACRED NUMBER

THE SECRET QUALITIES OF QUANTITIES

Miranda Lundy 2009

 

T
=
2
-
3
THE
33
15
6
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
24
4
24
Add to Reduce
302
113
23
-
-
2+4
-
2+4
Reduce to Deduce
3+0+2
1+1+3
2+3
-
-
6
-
6
Essence of Number
5
5
5

 

 

SACRED NUMBER

THE SECRET QUALITIES OF QUANTITIES

Miranda Lundy 2009

 

T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SECRET
70
25
7
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
25
4
30
First Total
372
138
30
-
-
2+5
-
3+0
Add to Reduce
3+7+2
1+3+8
3+0
-
-
67
-
3
Second Total
12
12
3
-
-
-
-
-
Reduce to Deduce
1+2
1+2
-
-
-
6
-
3
Essence of Number
3
3
3

 

 

T
=
2
-
3
THE
33
15
6
S
=
1
-
8
ESOTERIC
94
40
4
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
25
4
32
First Total
396
153
27
-
-
2+5
-
3+2
Add to Reduce
3+7+2
1+5+3
2+7
-
-
7
-
5
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
6
-
5
Essence of Number
9
9
9

 

 

PROBLEMS - PROBLEMS

 

8
PROBLEMS
100
46
1
-
1
2
3
4
5
6
7
8
9
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
3
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
B
=
2
4
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
5
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
7
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
8
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
8
9
-
-
3+7
-
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
8
9
-
-
1+0
-
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
8
9

 

 

8
PROBLEMS
100
46
1
-
1
2
3
4
5
6
7
8
9
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
O
=
6
3
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
B
=
2
4
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
5
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
M
=
4
7
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
S
=
1
8
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
8
9
-
-
3+7
-
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
8
9
-
-
1+0
-
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
8
9

 

 

8
PROBLEMS
100
46
1
-
1
2
3
4
5
6
7
8
9
S
=
1
8
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
B
=
2
4
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
5
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
M
=
4
7
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
3
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
8
9
-
-
3+7
-
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
8
9
-
-
1+0
-
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
8
9

 

LETTERS RE ARRANGED NUMERICALLY

 

8
PROBLEMS
100
46
1
-
1
2
3
4
5
6
7
9
S
=
1
8
1
S
19
10
1
-
1
-
-
-
-
-
-
-
B
=
2
4
1
B
2
2
2
-
-
2
-
-
-
-
-
-
L
=
3
5
1
L
12
3
3
-
-
-
3
-
-
-
-
-
M
=
4
7
1
M
13
4
4
-
-
-
-
4
-
-
-
-
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
-
O
=
6
3
1
O
15
6
6
-
-
-
-
-
-
6
-
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
9
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
9
-
-
3+7
-
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
9
-
-
1+0
-
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
9

 

LETTERS RE ARRANGED NUMERICALLY

 

SOLVE PROBLEMS SOLVE

 

7
SOLVING
98
44
8
-
1
2
3
4
5
6
7
8
9
8
PROBLEMS
100
46
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
-
-
35
-
-
-
98
44
35
-
-
-
-
-
-
-
-
-
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
37
-
-
-
100
46
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SOLVING
98
44
35
-
2
2
6
8
10
12
14
8
18
-
-
-
-
8
PROBLEMS
100
46
37
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
72
-
15
First Total
198
90
72
-
2
2
6
8
1
3
5
8
9
-
-
7+2
-
1+5
Add to Reduce
1+9+8
9+0
7+2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Second Total
18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Essence of Number
9
9
9
-
2
2
6
8
1
3
5
8
9

 

 

7
SOLVING
98
44
8
-
1
2
3
4
5
6
7
8
9
8
PROBLEMS
100
46
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SOLVING
98
44
35
-
2
2
6
8
10
12
14
8
18
-
-
-
-
8
PROBLEMS
100
46
37
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
72
-
15
First Total
198
90
72
-
2
2
6
8
1
3
5
8
9
-
-
7+2
-
1+5
Add to Reduce
1+9+8
9+0
7+2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Second Total
18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Essence of Number
9
9
9
-
2
2
6
8
1
3
5
8
9

 

 

7
SOLVING
98
44
8
-
1
2
3
4
5
6
7
8
9
8
PROBLEMS
100
46
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SOLVING
98
44
35
-
2
2
6
8
10
12
14
8
18
-
-
-
-
8
PROBLEMS
100
46
37
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
72
-
15
First Total
198
90
72
-
2
2
6
8
1
3
5
8
9
-
-
7+2
-
1+5
Add to Reduce
1+9+8
9+0
7+2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Second Total
18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Essence of Number
9
9
9
-
2
2
6
8
1
3
5
8
9

 

LETTERS RE ARRANGED NUMERICALLY

 

7
SOLVING
98
44
8
-
1
2
3
4
5
6
7
9
8
PROBLEMS
100
46
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SOLVING
98
44
35
-
2
2
6
8
10
12
14
18
-
-
-
-
8
PROBLEMS
100
46
37
-
-
-
-
-
1+0
1+2
1+4
1+8
-
-
72
-
15
First Total
198
90
72
-
2
2
6
8
1
3
5
9
-
-
7+2
-
1+5
Add to Reduce
1+9+8
9+0
7+2
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Second Total
18
9
9
-
2
2
6
8
1
3
5
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
6
Essence of Number
9
9
9
-
2
2
6
8
1
3
5
9

 

 

EVOLVE LOVE EVOLVE

LOVE EVOLVE LOVE

EVOLVE REVOLVE EVOLVE

REVOLVE EVOLVE REVOLVE

SOLVE LOVES SOLVE

 

 

Ahad - The Story of Bilal - Native Deen | Islamic Lyrics

www.islamiclyrics.net/native-deen/ahad-the-story-of-bilal/‎

It all makes sense to me now, I feel my soul revive. I have the true faith inside, there is only one God….

AHAD, AHAD, AHAD , ONE GOD! ONE GOD! ONE GOD.

AHAD, AHAD, AHAD ,
ONE GOD! ONE GOD! ONE GOD

Lyrics are taken from http://www.islamiclyrics.net/native-deen/ahad-the-story-of-bilal/

 

AHAD AHAD AHAD

9 AND 5 AND 9 AND 5 AND 9 AND 5

 

 

-
-
-
-
-
AHAD
-
-
-
A
=
1
=
2
A
1
1
4
H
=
5
=
3
H
8
8
9
A
=
1
=
2
A
1
1
4
D
=
5
=
3
D
4
4
9
-
-
6
-
5
AHAD
14
31
13
-
-
-
-
-
-
1+4
3+1
1+3
-
-
6
-
5
AHAD
5
5
5

 

 

-
-
-
-
-
AHAD
-
-
-
A
=
1
=
2
A+H
9
9
9
A
=
1
=
2
A+D
5
5
5
-
-
2
-
5
AHAD
14
14
14
-
-
-
-
-
-
1+4
1+4
1+4
-
-
2
-
5
AHAD
5
5
5

 

 

Names of God, Al-Wahid, Al-Waahid, Al-Ahad

www.marrymecity.com/99names/alwaahidulahad.php‎

Al-Waahidu /Al-Ahadu (2:163) (5:73) (9:31) (18:110) (37:4) (13:16) (112:1). THE ONE ~.

Allah is One because He is the Only One to be worshipped; the Only ...

67. Al-Waahidu /Al-Ahadu
(2:163) (5:73) (9:31) (18:110) (37:4) (13:16) (112:1)

THE ONE
~

Allah is One because He is the Only One to be worshipped; the Only One having no beginning nor end; the Only One Who is Eternal and shall remain forever; the Only One Who is All-Powerful, All-Knowing, Ever-Present and nothing is hidden from Him; The Only One Who is born to none and none is born to Him; and He has no partner or sharer. Allah is One because He is One in His actions and in His Names, He has no partner or equal in His Attributes.

The name Al-Ahad has the same meaning as Al-Wahid, but with more emphasis on the Unity. Al-Ahad is also different in that it is a name used only for Allah, but with all the meanings as Al-Wahid.

"Al-Wahid Al-Ahad"

 

-
-
-
-
-
ALLAH
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
=
2
AL
13
4
4
W
=
5
=
3
WAHID
45
27
9
-
-
6
-
5
First Total
58
31
13
-
-
-
-
-
Add to Reduce
5+8
3+1
1+3
-
-
6
-
5
Second Total
13
4
4
-
-
-
-
-
Reduce to Deduce
1+3
-
-
-
-
6
-
5
Essence of Number
4
4
4

 

 

One of the name of God is "Al-Wahid Al-Ahad"

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One of the name of God is "Al-Wahid Al-Ahad". His sacred Being is unique, with no organs or gradients. He is the One with no parallel; He is the One with NO ...

کد مطلب : 450

--------------------------------------------------------------------------------

One of the name of God is "Al-Wahid Al-Ahad"

 

His sacred Being is unique, with no organs or gradients. He is the One with no parallel; He is the One with no associate.

Prior to God nothing existed: what exists is His creation: فَهُوَ الْمُتَوَحِّدُ بِالأزَلِ وَالأبَدِ، وَمُتَفَرِّدٌ بِالْوَحْدَةِ وَالأحَدِيَةِ.

The words Ahad and Wahid are the derivatives of the word Wahdat meaning “One-ness.” All creation and creatures are just reflections of His existence and everybody fades away in Him: كُلُّ مَنْ عَلَيْهَا فَانٍ [1] “Everyone on it (the earth) must pass away” كُلُّ شَيئٍ هالِكٌ إلاّ وَجْهَهُ [2] “Everything is perishable but He.”

If a person becomes famous among his associates and friends as a man of ethics and good works and if he becomes distinguished as a loyal and sincere and if his friends unanimously believe that he is a good one, then he has grasped the genuine content of the known “Ahad” and its adjective form Wahid:

صِبْغَةَ اللَّهِ وَمَنْ أَحْسَنُ مِنْ اللَّهِ صِبْغَةً [3]

“Receive the baptism of Allah, and who is better than Allah in baptizing?” Monotheism, truth, faith, virtue, generosity are God’s colors, and what color is better than His color?

Imam Ali (a.s), in his honorable Kumail invocation asks God to offer him the trait of being unique among his relatives and associates in God’s worshipping:

وَاجْعَلْني مِنْ أحْسَنِ عَبِيدِكَ نَصِيباً عِنْدَكَ، وَأقْرَبِهِمْ مَنْزِلَةً مِنْكَ وَأخَصِّهِمْ زُلْفَةً لَدَيكَ.
“O God! Let me be one of Your closest servants, among all your other servants.”

--------------------------------------------------------------------------------


[1] Quran 55:26.

[2] Quran 28:88.

[3] Quran 2:138

The Book: Diar Aashiqan by prof, Hussain Ansarian

 

 

IN THE NAME OF GOD THE COMPASSIONATE THE MERCIFUL

 

-
-
-
-
-
ALLAH
-
-
-
A
=
1
=
1
A
1
1
4
L
=
3
=
1
L
12
3
3
L
=
3
=
1
L
12
3
3
A
=
1
=
1
A
1
1
4
H
=
5
=
1
H
8
8
9
-
-
6
-
5
ALLAH
34
16
16
-
-
-
-
-
-
3+4
1+6
1+6
-
-
6
-
5
ALLAH
7
7
7

 

 

-
-
-
-
-
ALLAH
-
-
-
A
=
1
=
1
A+L+L
25
7
7
A
=
1
=
1
A+H
9
9
9
-
-
6
-
5
ALLAH
34
16
16
-
-
-
-
-
-
3+4
1+6
1+6
-
-
6
-
5
ALLAH
7
7
7

 

 

The Upside Down of the Downside Up

 

 

 

 

 

-
NINETEEN
-
-
-
1
N
14
5
5
1
I
9
9
9
1
N
14
5
5
1
E
5
5
5
1
T
20
2
2
1
E
5
5
5
1
E
5
5
5
1
N
14
5
5
8
NINETEEN
-
-
-

 

 

5
K
A
B
A
L
-
-
-
-
-
--
-
-
-
11
1
2
1
12
+
=
27
2+7
=
9
=
9
-
2
1
2
1
3
+
=
9
-
=
9
=
9
5
K
A
B
A
L
-
-
-
-
-
--
-
-
-
-
1
-
1
-
-
-
1
occurs
x
2
=
2
-
2
-
2
-
-
-
-
2
occurs
x
2
=
4
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
5
K
A
B
A
L
-
-
6
-
-
5
-
9

 

 

-
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
5
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
-
9
14
-
-
-
+
=
23
2+3
=
5
=
5
=
5
-
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
-
3
7
3
-
-
4
5
9
+
=
31
3+1
=
4
=
4
=
4
-
-
3
25
12
-
-
4
5
18
+
=
67
6+7
=
13
1+3
4
=
4
-
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
-
3
25
12
9
14
4
5
18
+
=
90
9+0
=
9
=
9
=
9
-
-
3
7
3
9
5
4
5
9
+
=
45
4+5
=
9
=
9
=
9
-
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
3
-
3
-
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
17
8
C
Y
L
I
N
D
E
R
-
-
28
-
-
8
-
45
-
27
1+7
-
-
-
-
9
-
-
-
9
-
-
2+8
-
-
-
-
4+5
-
2+7
8
8
C
Y
L
I
N
D
E
R
-
-
10
-
-
8
-
9
-
9

 

 

8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
9
14
-
-
-
+
=
23
2+3
=
5
=
5
=
5
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
3
7
3
-
-
4
5
9
+
=
31
3+1
=
4
=
4
=
4
-
3
25
12
-
-
4
5
18
+
=
67
6+7
=
13
1+3
4
=
4
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
--
-
-
-
-
-
3
25
12
9
14
4
5
18
+
=
90
9+0
=
9
=
9
=
9
-
3
7
3
9
5
4
5
9
+
=
45
4+5
=
9
=
9
=
9
8
C
Y
L
I
N
D
E
R
-
-
-
-
-
-
-
-
-
-
-
3
-
3
-
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
9
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
8
C
Y
L
I
N
D
E
R
-
-
28
-
-
8
-
45
-
27
-
-
-
-
9
-
-
-
9
-
-
2+8
-
-
-
-
4+5
-
2+7
8
C
Y
L
I
N
D
E
R
-
-
10
-
-
8
-
9
-
9

 

 

-
6
V
A
C
U
U
M
-
-
-
-
-
--
-
-
-
-
22
1
3
21
21
13
+
=
81
8+1
=
9
=
9
-
-
4
1
3
3
3
4
+
=
18
1+8
=
9
=
9
-
6
V
A
C
U
U
M
-
-
-
-
-
--
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
3
3
3
-
-
-
3
occurs
x
3
=
9
-
-
4
-
-
-
-
4
-
-
4
occurs
x
2
=
8
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
37
6
V
A
C
U
U
M
-
-
8
-
-
6
-
18
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+8
1
6
V
A
C
U
U
M
-
-
8
-
-
6
-
9

 

 

6
V
A
C
U
U
M
-
-
-
-
-
--
-
-
-
22
1
3
21
21
13
+
=
81
8+1
=
9
=
9
-
4
1
3
3
3
4
+
=
18
1+8
=
9
=
9
6
V
A
C
U
U
M
-
-
-
-
-
--
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
3
3
3
-
-
-
3
occurs
x
3
=
9
-
4
-
-
-
-
4
-
-
4
occurs
x
2
=
8
6
V
A
C
U
U
M
-
-
8
-
-
6
-
18
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+8
6
V
A
C
U
U
M
-
-
8
-
-
6
-
9

 

 

-
6
S
Q
U
A
R
E
-
-
--
-
-
-
-
-
-
-
19
17
21
1
18
5
+
=
81
8+1
=
9
=
9
-
-
1
8
3
1
9
5
+
=
27
2+7
=
9
=
9
-
6
S
Q
U
A
R
E
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
-
1
occurs
x
2
=
2
2
-
--
--
--
--
--
--
--
--
2
TWO
2
-
--
--
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
4
-
--
--
--
--
--
--
--
--
4
FOUR
4
-
--
--
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
6
-
--
--
--
--
--
--
--
--
6
SIX
6
-
--
--
7
-
--
--
--
--
--
--
--
--
7
SEVEN
7
-
--
--
-
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
19
6
S
Q
U
A
R
E
-
-
26
-
-
6
-
27
1+9
-
-
-
-
-
9
-
-
-
2+6
-
-
-
-
2+7
10
6
S
Q
U
A
R
E
-
-
8
-
-
6
-
9
1+0
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
1
6
S
Q
U
A
R
E
-
-
8
-
-
6
-
9

 

 

BREATHE ON ME BREATH OF GOD

 

 

HOLY BIBLE

Scofield References

Page 7

GENESIS

C 2 V 7

And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
OXYGEN
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
X
=
6
-
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
36
-
6
OXYGEN
90
36
36
-
1
2
3
4
10
12
14
8
9
-
-
3+6
-
-
-
9+0
3+6
3+6
-
-
-
-
-
1+0
1+2
1+4
-
-
-
-
9
-
6
OXYGEN
9
9
9
-
1
2
3
4
1
3
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
5
6
7
-
-
-
-
-
OXYGEN
-
-
-
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
6
-
X
=
6
-
1
X
24
6
6
-
-
6
-
Y
=
7
-
1
Y
25
7
7
-
-
-
7
G
=
7
-
1
G
7
7
7
-
-
-
7
E
=
5
-
1
E
5
5
5
-
5
-
-
N
=
5
-
1
N
14
5
5
-
5
-
-
-
-
36
-
6
OXYGEN
90
36
36
-
10
12
14
-
-
3+6
-
-
-
9+0
3+6
3+6
-
1+0
1+2
1+4
-
-
9
-
6
OXYGEN
9
9
9
-
1
3
5

 

 

-
-
-
-
-
-
-
-
-
-
5
6
7
-
-
-
-
-
OXYGEN
-
-
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
5
-
-
N
=
5
-
1
N
14
5
5
-
5
-
-
O
=
6
-
1
O
15
6
6
-
-
6
-
X
=
6
-
1
X
24
6
6
-
-
6
-
Y
=
7
-
1
Y
25
7
7
-
-
-
7
G
=
7
-
1
G
7
7
7
-
-
-
7
-
-
36
-
6
OXYGEN
90
36
36
-
10
12
14
-
-
3+6
-
-
-
9+0
3+6
3+6
-
1+0
1+2
1+4
-
-
9
-
6
OXYGEN
9
9
9
-
1
3
5

 

 

6
S
Q
U
A
R
E
-
-
--
-
-
-
-
-
-
19
17
21
1
18
5
+
=
81
8+1
=
9
=
9
-
1
8
3
1
9
5
+
=
27
2+7
=
9
=
9
6
S
Q
U
A
R
E
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
-
1
occurs
x
2
=
2
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
6
S
Q
U
A
R
E
-
-
26
-
-
6
-
27
-
-
-
-
-
9
-
-
-
2+6
-
-
-
-
2+7
6
S
Q
U
A
R
E
-
-
8
-
-
6
-
9

 

 

T
H
E
-
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
20
8
5
-
13
21
19
9
3
-
15
6
-
20
8
5
-
19
16
8
5
18
5
19
2
8
5
-
4
3
1
9
3
-
6
6
-
2
8
5
-
1
7
8
5
9
5
1
T
H
E
-
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
 
 
 
 
 
 
1
 
 
 
 
 
 
 
 
 
 
1
 
 
 
 
 
1
2
 
 
 
 
 
 
 
 
 
 
 
 
2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
3
 
 
3
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
4
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5
 
 
 
 
 
 
 
 
 
 
 
 
5
 
 
 
 
5
 
5
 
 
 
 
 
 
 
 
 
 
 
6
6
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
7
 
 
 
 
 
 
8
 
 
 
 
 
 
 
 
 
 
 
 
8
 
 
 
 
8
 
 
 
 
 
 
 
 
 
 
 
9
 
 
 
 
 
 
 
 
 
 
 
 
 
9
 
 
T
H
E
-
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S

 

 

1
occurs
x
3
=
3
-
-
3
2
occurs
x
2
=
4
-
-
4
3
occurs
x
2
=
6
-
-
6
4
occurs
x
1
=
4
-
-
4
5
occurs
x
4
=
20
2+0
=
2
6
occurs
x
2
=
12
1+2
=
3
7
occurs
x
1
=
7
-
-
7
8
occurs
x
3
=
24
2+4
=
6
9
occurs
x
2
=
18
1+8
=
9
45
First Total
-
20
-
98
-
-
44
4+5
Add to Reduce
-
2+0
-
9+8
-
-
4+4
9
Second Total
-
2
-
17
-
-
4
-
Reduce to Deduce
-
-
-
1+7
-
-
-
9
Essence of Number
-
2
-
8
-
-
8

 

 

17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-
`-
13
21
19
9
3
-
15
6
-
20
8
5
-
19
16
8
5
18
5
19
+
=
209
2+0+9
=
11
1+1
2
-
4
3
1
9
3
-
6
6
-
2
8
5
-
1
7
8
5
9
5
1
+
=
83
8+3
=
11
1+1
2
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-

 

 

-
-
-
17
MUSIC OF THE SPHERES
S
=
1
--
S
19
10
1
-
-
-
-
--
S
19
10
1
3
-
-
-
--
S
19
10
1
-
T
=
2
-
T
20
2
2
1
U
=
3
-
U
21
3
3
-
C
=
-
-
C
3
3
3
2
M
=
4
-
M
13
4
4
1
E
=
5
-
E
5
5
5
-
-
-
-
-
E
5
5
5
3
-
-
-
-
E
5
5
5
-
O
=
6
-
O
15
6
6
2
F
-
-
-
F
6
6
6
-
P
=
7
-
P
16
7
7
1
H
=
8
-
H
8
8
8
-
-
-
-
-
H
8
8
8
2
I
=
9
-
I
9
9
9
-
-
-
-
-
R
18
9
9
2
9
-
45
-
MUSIC OF THE SPHERES
-
-
-
17
-
-
4+5
-
-
-
-
-
1+7
9
-
9
17
MUSIC OF THE SPHERES
-
-
-
8

 

 

1
occurs
x
3
=
3
-
-
3
2
occurs
x
1
=
2
-
-
2
3
occurs
x
2
=
6
-
-
6
4
occurs
x
1
=
4
-
-
4
5
occurs
x
3
=
15
1+5
=
6
6
occurs
x
2
=
12
1+2
=
3
7
occurs
x
1
=
7
-
-
7
8
occurs
x
2
=
16
1+6
=
7
9
occurs
x
2
=
18
1+8
=
9
45
First Total
-
17
-
83
-
-
47
4+5
Add to Reduce
-
1+7
-
8+3
-
-
4+7
9
Second Total
-
8
-
11
-
-
11
-
Reduce to Deduce
-
-
-
1+1
-
-
-
9
Essence of Number
-
8
-
2
-
-
2

 

 

17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-
`-
13
21
19
9
3
-
15
6
-
20
8
5
-
19
16
8
5
18
5
19
+
=
209
2+0+9
=
11
1+1
2
-
4
3
1
9
3
-
6
6
-
2
8
5
-
1
7
8
5
9
5
1
+
=
83
8+3
=
11
1+1
2
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-

 

 

q-
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
1
9
-
-
6
-
-
-
8
-
-
1
-
8
-
-
-
1
+
=
34
3+4
=
7
=
7
=
7
-
-
-
-
19
9
-
-
15
-
-
-
8
-
-
19
-
8
-
-
-
19
+
=
97
9+7
=
16
1+6
7
=
7
q-
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-
-
-
-
-
4
3
-
-
3
-
-
6
-
2
-
5
-
-
7
-
5
9
5
-
+
=
49
4+9
=
13
1+3
4
=
4
-
-
13
21
-
-
3
-
-
6
-
20
-
5
-
-
16
-
5
18
5
-
+
=
112
1+1+2
=
4
=
4
=
4
q-
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
--
-
-
-
-
-
-
13
21
19
9
3
-
15
6
-
20
8
5
-
19
16
8
5
18
5
19
+
=
209
2+0+9
=
11
1+1
2
=
2
-
-
4
3
1
9
3
-
6
6
-
2
8
5
-
1
7
8
5
9
5
1
+
=
83
8+3
=
11
1+1
2
=
2
-
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
3
-
-
3
-
--
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
45
17
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
45
-
-
17
-
83
-
47
4+5
1+7
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
4+5
-
-
1+7
-
8+3
-
4+7
9
8
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
9
-
-
8
-
11
-
11
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+1
-
1+1
9
8
M
U
S
I
C
-
O
F
-
T
H
E
-
S
P
H
E
R
E
S
-
-
9
-
-
8
-
2
-
2

 

 

Musica universalis - Wikipedia
https://en.wikipedia.org/wiki/Musica_universalis
Musica universalis (literally universal music), also called Music of the spheres or Harmony of the Spheres, is an ancient philosophical concept that regards proportions in the movements of celestial bodies—the Sun, Moon, and planets—as a form of musica (the Medieval Latin term for music).

 

music of the spheres - The William Herschel Society
www.williamherschel.org.uk/wp-content/uploads/.../Harmony-of-the-Spheres.doc

Its founder, Pythagoras (532-497? BC), was probably the first person to associate strictly music and astronomy. He used the word “cosmos” to describe a ...

 

MUSIC OF THE SPHERES

 

-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
-
5
MUSIC
65
29
2
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
1
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
U
=
3
2
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
C
=
3
5
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
-
20
-
5
-
65
29
20
-
-
-
-
-
-
-
-
-
-
O
=
6
6
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
7
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
-
12
-
2
-
21
123
12
-
-
-
-
-
-
-
-
-
-
T
=
2
8
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
9
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
15
-
3
-
33
15
15
-
-
-
-
-
-
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
P
=
7
12
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
36
-
7
-
90
547
36
-
3
2
6
4
15
12
7
16
18
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
1+2
-
1+6
1+8
-
-
83
-
17
MUSIC
65
29
2
-
3
2
6
4
6
3
7
7
9
-
-
8+3
-
1+7
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
-
-
11
-
8
THE
33
15
6
-
3
2
6
4
6
3
7
7
9
-
-
1+1
-
-
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
First Total
209
110
20
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Add to Reduce
2+0+9
1+1+0
2+0
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Second Total
11
2
2
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Reduce to Deduce
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Essence of Number
2
2
9
-
3
2
6
4
6
3
7
7
9

 

 

-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
-
5
MUSIC
65
29
2
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
1
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
U
=
3
2
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
C
=
3
5
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
O
=
6
6
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
7
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
8
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
9
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
P
=
7
12
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
2
6
4
15
12
7
16
18
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
1+2
-
1+6
1+8
-
-
83
-
17
MUSIC
65
29
2
-
3
2
6
4
6
3
7
7
9
-
-
8+3
-
1+7
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
-
-
11
-
8
THE
33
15
6
-
3
2
6
4
6
3
7
7
9
-
-
1+1
-
-
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
First Total
209
110
20
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Add to Reduce
2+0+9
1+1+0
2+0
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Second Total
11
2
2
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Reduce to Deduce
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Essence of Number
2
2
9
-
3
2
6
4
6
3
7
7
9

 

 

-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
-
5
MUSIC
65
29
2
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
8
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
2
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
5
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
1
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
6
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
7
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
12
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
9
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
3
2
6
4
15
12
7
16
18
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
1+2
-
1+6
1+8
-
-
83
-
17
MUSIC
65
29
2
-
3
2
6
4
6
3
7
7
9
-
-
8+3
-
1+7
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
-
-
11
-
8
THE
33
15
6
-
3
2
6
4
6
3
7
7
9
-
-
1+1
-
-
SPHERES
90
54
9
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
First Total
209
110
20
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Add to Reduce
2+0+9
1+1+0
2+0
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Second Total
11
2
2
-
3
2
6
4
6
3
7
7
9
-
-
-
-
-
Reduce to Deduce
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Essence of Number
2
2
9
-
3
2
6
4
6
3
7
7
9

 

 

5
MUSIC
65
20
2

 

 

-
5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
+
=
10
1+0
=
1
=
1
-
-
-
-
19
9
-
+
=
28
2+8
=
10
1+0
1
-
5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
-
4
3
-
-
3
+
=
10
1+0
=
1
=
1
-
-
13
21
-
-
12
+
=
37
3+7
=
10
1+0
1
-
5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
-
13
21
19
9
3
+
=
65
6+5
=
11
1+1
2
-
-
4
3
1
9
3
+
=
20
2+0
=
2
=
2
-
5
M
U
S
I
C
T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
3
-
-
3
-
-
3
occurs
x
2
=
6
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
7
--
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
--
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
28
5
M
U
S
I
C
-
-
17
-
-
5
-
20
2+8
-
-
-
-
9
-
-
-
1+7
-
-
-
-
2+0
10
5
M
U
S
I
C
-
-
8
-
-
5
-
2
1+0
-
4
3
1
9
3
-
-
-
-
-
-
-
-
1
5
M
U
S
I
C
-
-
8
-
-
5
-
2

 

 

5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
-
-
1
9
-
+
=
10
1+0
=
1
=
1
-
-
-
19
9
-
+
=
28
2+8
=
10
1+0
1
5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
4
3
-
-
3
+
=
10
1+0
=
1
=
1
-
13
21
-
-
12
+
=
37
3+7
=
10
1+0
1
5
M
U
S
I
C
-
-
-
-
-
-
-
-
-
13
21
19
9
3
+
=
65
6+5
=
11
1+1
2
-
4
3
1
9
3
+
=
20
2+0
=
2
=
2
5
M
U
S
I
C
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
-
3
-
-
3
-
-
3
occurs
x
2
=
6
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
5
M
U
S
I
C
-
-
17
-
-
5
-
20
-
-
-
-
9
-
-
-
1+7
-
-
-
-
2+0
5
M
U
S
I
C
-
-
8
-
-
5
-
2
-
4
3
1
9
3
-
-
-
-
-
-
-
-
5
M
U
S
I
C
-
-
8
-
-
5
-
2

 

 

7
MUSICAL
78
24
6
5
SCALE
40
13
4
12
First Total
118
37
10
1+2
Add to Reduce
1+1+8
3+7
1+0
3
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
3
Essence of Number
1
1
1

 

 

21-
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
-
-
-
1
-
-
-
-
+
=
11
1+1
=
2
-
2
=
2
-
-
-
-
19
9
-
-
-
-
19
-
-
-
-
+
=
47
4+7
=
11
1+1
2
=
2
-
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
4
3
-
-
3
1
3
-
-
3
1
3
5
+
=
26
2+6
=
8
-
8
=
8
-
-
13
21
-
-
12
1
12
-
-
12
1
12
5
+
=
71
7+1
=
8
-
8
=
8
-
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
13
21
19
9
3
1
12
-
19
3
1
12
5
+
=
118
1+1+8
=
10
1+0
1
=
1
-
-
4
3
1
9
3
1
3
-
1
3
1
3
5
+
=
37
3+7
=
10
1+0
1
=
1
-
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
``-
-
-
-
-
-
-
-
-`
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
21
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
22
-
-
12
-
37
-
28
2+1
1+2
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3+5
-
-
1+2
-
3+7
-
2+8
3
3
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
8
-
-
3
-
10
-
10
-
-
4
3
1
9
3
1
3
-
1
3
1
3
5
-
-
-
-
-
-
-
1+0
-
1+0
3
3
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
8
-
-
3
-
1
-
1

 

 

12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
-
-
-
1
-
-
-
-
+
=
11
1+1
=
2
-
2
=
2
-
-
-
19
9
-
-
-
-
19
-
-
-
-
+
=
47
4+7
=
11
1+1
2
=
2
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
4
3
-
-
3
1
3
-
-
3
1
3
5
+
=
26
2+6
=
8
-
8
=
8
-
13
21
-
-
12
1
12
-
-
12
1
12
5
+
=
71
7+1
=
8
-
8
=
8
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
13
21
19
9
3
1
12
-
19
3
1
12
5
+
=
118
1+1+8
=
10
1+0
1
=
1
-
4
3
1
9
3
1
3
-
1
3
1
3
5
+
=
37
3+7
=
10
1+0
1
=
1
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
12
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
22
-
-
12
-
37
-
28
1+2
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3+5
-
-
1+2
-
3+7
-
2+8
3
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
8
-
-
3
-
10
-
10
-
4
3
1
9
3
1
3
-
1
3
1
3
5
-
-
-
-
-
-
-
1+0
-
1+0
3
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
8
-
-
3
-
1
-
1

 

 

12
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
-
-
1
-
-
-
-
+
=
11
1+1
=
2
-
2
=
2
-
-
-
19
9
-
-
-
19
-
-
-
-
+
=
47
4+7
=
11
1+1
2
=
2
12
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
4
3
-
-
3
1
3
-
3
1
3
5
+
=
26
2+6
=
8
-
8
=
8
-
13
21
-
-
12
1
12
-
12
1
12
5
+
=
71
7+1
=
8
-
8
=
8
12
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
13
21
19
9
3
1
12
19
3
1
12
5
+
=
118
1+1+8
=
10
1+0
1
=
1
-
4
3
1
9
3
1
3
1
3
1
3
5
+
=
37
3+7
=
10
1+0
1
=
1
12
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
-
3
-
-
3
-
3
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
12
M
U
S
I
C
A
L
S
C
A
L
E
-
-
22
-
-
12
-
37
-
28
1+2
-
3
-
-
3
-
3
-
3
-
3
-
-
-
3+5
-
-
1+2
-
3+7
-
2+8
3
M
U
S
I
C
A
L
S
C
A
L
E
-
-
8
-
-
3
-
10
-
10
-
4
3
1
9
3
1
3
1
3
1
3
5
-
-
-
-
-
-
-
1+0
-
1+0
3
M
U
S
I
C
A
L
S
C
A
L
E
-
-
8
-
-
3
-
1
-
1

 

 

3
THE
33
15
6
7
MUSICAL
78
24
6
5
SCALE
40
13
4
15
Add to Reduce
151
52
16
1+5
Reduce to Deduce
1+5+1
5+2
1+6
6
Essence of Number
7
7
7

 

 

-
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
1
9
-
-
-
-
1
-
-
-
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
-
8
-
-
-
-
19
9
-
-
-
-
19
-
-
-
-
+
=
55
5+5
=
10
1+0
1
=
1
-
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
4
3
-
-
3
1
3
-
-
3
1
3
5
+
=
33
3+3
=
6
-
6
=
6
-
-
20
-
5
-
13
21
-
-
12
1
12
-
-
12
1
12
5
+
=
96
9+6
=
6
-
6
=
6
-
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
13
21
19
9
3
1
12
-
19
3
1
12
5
+
=
151
1+5+1
=
7
=
7
=
7
-
-
2
8
5
-
4
3
1
9
3
1
3
-
1
3
1
3
5
+
=
52
5+2
=
7
=
7
=
7
-
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
13
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
32
-
-
15
-
52
-
34
1+3
1+5
-
-
-
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3+2
-
-
1+5
-
5+2
-
3+4
4
6
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7
-
-
2
8
5
-
4
3
1
9
3
1
3
-
1
3
1
3
5
-
-
-
-
-
-
-
-
-
-
4
6
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7

 

 

15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
1
9
-
-
-
-
1
-
-
-
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
8
-
-
-
-
19
9
-
-
-
-
19
-
-
-
-
+
=
55
5+5
=
10
1+0
1
=
1
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
4
3
-
-
3
1
3
-
-
3
1
3
5
+
=
33
3+3
=
6
-
6
=
6
-
20
-
5
-
13
21
-
-
12
1
12
-
-
12
1
12
5
+
=
96
9+6
=
6
-
6
=
6
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
13
21
19
9
3
1
12
-
19
3
1
12
5
+
=
151
1+5+1
=
7
=
7
=
7
-
2
8
5
-
4
3
1
9
3
1
3
-
1
3
1
3
5
+
=
52
5+2
=
7
=
7
=
7
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
15
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
32
-
-
15
-
52
-
34
1+5
-
-
-
-
-
3
-
-
3
-
3
-
-
3
-
3
-
-
-
3+2
-
-
1+5
-
5+2
-
3+4
6
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7
-
2
8
5
-
4
3
1
9
3
1
3
-
1
3
1
3
5
-
-
-
-
-
-
-
-
-
-
6
T
H
E
-
M
U
S
I
C
A
L
-
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7

 

 

15
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
1
9
-
-
-
1
-
-
-
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
8
-
-
-
19
9
-
-
-
19
-
-
-
-
+
=
55
5+5
=
10
1+0
1
=
1
15
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
2
-
5
4
3
-
-
3
1
3
-
3
1
3
5
+
=
33
3+3
=
6
-
6
=
6
-
20
-
5
13
21
-
-
12
1
12
-
12
1
12
5
+
=
96
9+6
=
6
-
6
=
6
15
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
20
8
5
13
21
19
9
3
1
12
19
3
1
12
5
+
=
151
1+5+1
=
7
=
7
=
7
-
2
8
5
4
3
1
9
3
1
3
1
3
1
3
5
+
=
52
5+2
=
7
=
7
=
7
15
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
1
-
1
-
-
-
-
1
occurs
x
4
=
4
=
4
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
3
-
-
3
-
3
-
3
-
3
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
15
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
32
-
-
15
-
52
-
34
1+5
-
-
-
-
3
-
-
3
-
3
-
3
-
3
-
-
-
3+2
-
-
1+5
-
5+2
-
3+4
6
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7
-
2
8
5
4
3
1
9
3
1
3
1
3
1
3
5
-
-
-
-
-
-
-
-
-
-
6
T
H
E
M
U
S
I
C
A
L
S
C
A
L
E
-
-
5
-
-
6
-
7
-
7

 

 

5
SOUND
73
19
1

 

 

-
5
S
O
U
N
D
-
-
-
-
-
-
-
-
--
-
1
6
-
5
-
+
=
12
1+2
=
3
=
3
-
-
19
15
-
14
-
+
=
48
4+8
=
12
1+2
3
-
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
-
-
-
3
-
4
+
=
7
-
=
7
=
7
-
-
-
-
21
-
4
+
=
25
2+5
=
7
=
7
-
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
-
19
15
21
14
4
+
=
73
7+3
=
10
1+0
1
-
-
1
6
3
5
4
+
=
19
1+9
=
10
1+0
1
-
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
26
5
S
O
U
N
D
-
-
19
-
-
5
-
19
2+6
-
-
-
-
-
-
-
-
1+9
-
-
-
-
1+9
8
5
S
O
U
N
D
-
-
10
-
-
5
-
10
-
-
1
6
3
5
4
-
-
1+0
-
-
-
-
1+0
8
5
S
O
U
N
D
-
-
1
-
-
5
-
1

 

 

5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
1
6
-
5
-
+
=
12
1+2
=
3
=
3
-
19
15
-
14
-
+
=
48
4+8
=
12
1+2
3
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
-
-
3
-
4
+
=
7
-
=
7
=
7
-
-
-
21
-
4
+
=
25
2+5
=
7
=
7
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
19
15
21
14
4
+
=
73
7+3
=
10
1+0
1
-
1
6
3
5
4
+
=
19
1+9
=
10
1+0
1
5
S
O
U
N
D
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
5
S
O
U
N
D
-
-
19
-
-
5
-
19
-
-
-
-
-
-
-
-
1+9
-
-
-
-
1+9
5
S
O
U
N
D
-
-
10
-
-
5
-
10
-
1
6
3
5
4
-
-
1+0
-
-
-
-
1+0
5
S
O
U
N
D
-
-
1
-
-
5
-
1

 

 

themindunleashed.org › Ancient Structures & History

15 Sep 2015 - The American Federation of Musicians had already accepted the A440 as ... “This [A=432 Hz] tuning was unanimously approved at the Congress of Italian ..... ... [iii] Mark Brewer, Music of the Spheres: A Case for A=432Hz,
Brendan D. Murphy, Guest

GA=440Hz: Not Quite Music to My Ears

The A=432 Hz Frequency: DNA Tuning and the ...
themindunleashed.org › Ancient Structures & History
15 Sep 2015 - The American Federation of Musicians had already accepted the A440 as ... “This [A=432 Hz] tuning was unanimously approved at the Congress of Italian .....Humankind is the largely unwitting victim of a frequency war on our consciousness that has been waged for decades, if not millennia. The goal has clearly been to keep us as gullible and subservient as possible, through multifarious means.

In modern history in particular, there has been what Dr. Len Horowitz has referred to as the strategic “militarization” of music. This happened in 1939 when the tuning of the note ‘A above Middle C’ to 440 Hz was adopted in the world of music. In 1910 an earlier push to effect the same change was met with limited success. Three decades later, the British Standards Institute (BSI) adopted the A=440Hz standard following staunch promotion by the Rockefeller-Nazi consortium—“at the precise time WWII preparations were being finalized by the petrochemical-pharmaceutical war financiers.”[i] This was the year that A=440 became the international standard.

The American Federation of Musicians had already accepted the A440 as standard pitch in 1917, and the U.S. government followed suit in 1920.[ii] One must surely ask why Nazi propaganda minister, Joseph Goebbels, argued for this odd intrusion into musical creativity, persuading Hitler’s supposed enemies in Britain to adopt this “superior” standard tuning for the “Aryan/Master Race.” What did the Nazis (and their secretive by well-documented US financiers) have to gain from this?

It is interesting, also, to note that in October 1953, despite the British and Nazi push for the arbitrary A=440 standard (which is “disharmonic” vis à vis the physico-acoustic laws of creation governing reality), a referendum of 23,000 French musicians voted overwhelmingly in favour of A=432Hz.[iii] Many, many musicians, through recent centuries have expressed their strong preference for the A=432 reference pitch.

The Vibration of Sound

According to preliminary research, analysis, and professional discussions by Walton, Koehler, Reid, et al., on the web, A=440Hz frequency music conflicts with human energy centers (i.e., chakras) from the heart to the base of the spine [the lower four]. Alternatively, chakras above the heart are stimulated. Theoretically, the vibration stimulates ego and left-brain function, suppressing the “heart-mind,” intuition and creative inspiration.[v]

Interestingly, the difference between 440 and 741 Hz is known in musicology as the Devil’s Interval.

For maximum suppression of human consciousness, the frequencies we naturally resonate with, and which are the most biologically and psycho-spiritually enhancing, must be maximally suppressed. Ancient Egyptian and Greek instruments have reportedly been found to be tuned to 432 Hz. As far as many guitarists are concerned, A=432 Hz seems to be the most practical, optimal, and most bio-friendly resonant tuning we have, although many musicians have also favoured A=444. (A=444 Hz belongs to a different scale, where

But there’s more: the cochlea, the part of the inner ear that converts acoustic impulses into electrical signals, has a seashell-like spiral shape. A bilateral cross-section of the cochlea is mathematically describable through the Fibonacci series (the Golden Ratio/Phi as manifested in nature). [vi] According to Chas Stoddard inA Short History of Tuning and Temperament, this fractality/recursiveness allows octaves to be decoded at the same point in each layer of the spiral, and may therefore be why we can discern octaves at all (meaning, that without this cochlea design, we would just hear pitch rising or lowering, we would not be able to identify that, for example, 256 Hz is C, as is 512 Hz also C).[vii] The octave concept would be almost meaningless and sonically undetectable to us.

Somehow, Austrian genius visionary Rudolph Steiner (1861-1925) was on to all of this. He said:

“Music based on C=128hz (C note in concert A=432hz) will support humanity on its way towards spiritual freedom. The inner ear of the human being is built on C=128 hz.”

The fact that Phi/Golden Ratio is so key in morphogenesis (the biological process that causes an organism to develop its shape) in humans and throughout nature suggests that there may be an interesting yet little-known relationship between the galactic harmonic of 432 that shows up in our solar system and the Golden Ratio.
To return to the main thrust now. Maria Renold, in her book Intervals Scales Tones and the Concert Pitch C=128hz, claims conclusive evidence that A=440Hz tuning (above scientific “C” Prime=128/256/512 Hz, where A=432 Hz) “disassociates the connection of consciousness to the body and creates anti-social conditions in humanity.” Modern “Equal Temperament (ET)” tuning was supposedly the excuse for musicians to play consonance, but, according to researcher Brian T. Collins (who strongly endorses Renold’s book), it actually diminishes perception of tone and resonant harmony.[viii]

Many people appear to endorse the view that, while A=440 music is more exciting (or aggressive, for some), it is more mind-oriented and disconnected from the human feeling centres, particularly the heart (which has by far the largest EM field of all bodily organs, including the brain, which it can actually entrain). Disconnecting the heart from the brain is — as history (and our present condition) shows us — catastrophic on a planetary scale; for many reasons, but fundamentally, it disconnects us from our innate wisdom and compassion as sentient beings, thus disconnecting us from each other and the other intelligent beings we share this planet with (not to mention the planet itself which is a living intelligence).

Ancient tuning practices employed the “Just Intonation” system of tuning. It featured “pure intervals between every note that were mathematically related by ratios of small whole numbers leading to a much purer sound.” From about the 16th century onwards, “Twelve-Tone Equal Temperament” tuning, according to Joachim Ernst-Berendt, commenced the mistuning of all consonant intervalsexcept the octave.[ix]

As a guitarist(who writes music primarily on an electric guitar, I prefer to tune up to A=444/C=528 rather than further down-tuning to 432 (I already drop a full step down on the electric and one of my acoustics and don’t want to lower string tension any further). 528 derives from the ancient Solfeggio scale, as re-discovered by Dr. Joseph Puleo, a co-researcher and co-author with Dr. Len Horowitz of the well-researched and confronting book Healing Codes for the Biological Apocalypse. At A=444 I can feel the resonance almost on a cellular level—the vibrations go right through me, and the guitar feels almost like a part of me. The tone is beautiful and bright; highly resonant. This is not the case when I use 440 Hz (standard Western tuning). Electric guitars, lacking a resonant cavity, don’t make the distinction as easy, however, that doesn’t mean that our cells don’t appreciate the subtle difference.

I will discuss more on the Solfeggio scale and why 528 is so important in a coming article.

The Curious Case of 432

We see above an interesting relationship between the 432 and the number of completion arising as we look at this material below. The numbers suggest that the “universal” or solar constant of 432 has to do with the “completion” (or completeness) of the manifest material world.

Diameter of sun = 864,000 miles (432 x 2)
•Interestingly 8+6+4 = 18 (1+ 8) = 9 the number of completion

Diameter of moon = 2,160 miles (5 x 432 = 2,160)
•2+1+6+0 resolves to a 9, as does 4+3+2 = 9 and 5 x 9 = 45 and 4 + 5 = 9 as well.

Precession of the Equinoxes of Earth = 25,920 years (60 x 432) [x]
•2+5+9+2+0 also equals 9, while 6 x 9 = 54 and 5 + 4 = 9 also.

Interestingly, the leading acoustician in Beethoven’s time was Ernst Chladni (1756-1827), the godfather of cymatics. His music theory textbook explicitly defined C as 256/512 Hz, the “scientific” tuning. (The A above middle C in this standard scale is 432 Hz.)

Perhaps this is to do with 432 squared — 186,624 (1+8+6+6+2+4 = 9) — being within 1 percent accuracy of the speed of light, (186,282 miles per second, which also resolves to a 9!). The square root of the measured speed of light is 431.6(!) By deductive reasoning, we might speculate that “notes tuned relative to A432 harmonize directly with the light body [auric fields] allowing the vibrations to penetrate, and through entrainment, bring your energetic essence into balance. Entrainment is the tendency for a strong vibration to influence a weaker vibration.”[xi]

Inversely, A=440 tuning may produce a dissonant or “agitative” effect on the aura/mind — and anything that disrupts/disturbs DNA will create contraindications in the aura due to DNA’s innate sound-light translation mechanism. The human aura, of course, is the closest thing we have yet been able to point to as “consciousness” or “mind” in the manifest measurable world, as I demonstrate in The Grand Illusion : a Synthesis of Science & Spirituality.

 

Using 256Hz as the reference for C (where A=432), all occurrences of C are a power of 2. Interestingly, the Schumann resonance — earth’s electromagnetic “heartbeat” existing within the atmosphere between the earth’s surface and our ionisphere — ranges from about 7.83 to 8 Hz on average — very close to (and even the same as) 23. This isn’t terribly surprising if you consider the frequency of earth’s axial rotation: “Earth’s ‘pitch’ (cycles per second/Hertz) as it rotates is G, a fourth below the theoretical C that lies 24 octaves below middle C, when C=256Hz. So C=256/A=432 is in tune with the Earth’s rotation,”[xii] which is “in tune” with the speed of light, which is “in tune” with the diameter of the sun, which is “in tune” with the diameter of the moon, which is “in tune” with the precession of the equinoxes!

That’s a lot of harmony, which is exactly what we should expect from a holofractal (scaled) plasma-based universe.

 

-
ELECTRIC
-
-
-
5
ELECT
75
18
9
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ELECTRIC
75
39
30
-
-
7+5
3+9
3+0
8
ELECTRIC
12
12
3
-
-
1+2
1+2
-
8
ELECTRIC
3
3
3

 

ELECTRIC ET CIRCLE ET ELECTRIC

 

-
-
-
-
-
ELECTRIC
-
-
-
E
-
5
-
1
E
5
5
5
T
-
2
-
1
T
20
2
2
C
-
3
-
1
C
3
3
3
I
-
9
-
1
I
9
9
9
R
-
9
-
1
R
18
9
9
C
=
3
-
1
C
3
3
3
L
=
3
-
1
L
12
3
3
E
=
5
-
1
E
5
5
5
-
-
39
-
8
ELECTRIC
75
39
39
-
-
3+9
-
-
-
7+5
3+9
3+9
-
-
12
-
8
ELECTRIC
12
12
12
-
-
1+2
-
-
-
1+2
1+2
1+2
-
-
3
-
8
ELECTRIC
3
3
3

 

 

-
-
-
-
-
ELECTRIC
-
-
-
E
-
5
-
1
E+T
25
7
7
C
-
3
-
1
C
3
3
3
I
-
9
-
1
I
9
9
9
R
-
9
-
1
R
18
9
9
C
=
3
-
1
C
3
3
3
L
=
3
-
1
L
12
3
3
E
=
5
-
1
E
5
5
5
-
-
39
3
8
ELECTRIC
75
39
39
-
-
3+9
-
-
-
7+5
3+9
3+9
-
-
12
3
8
ELECTRIC
12
12
12
-
-
1+2
-
-
-
1+2
1+2
1+2
-
-
3
3
8
ELECTRIC
3
3
3

 

 

-
-
-
-
-
ELECTRIC
-
-
-
E
-
5
-
1
E
5
5
5
L
-
2
-
1
L
12
3
3
E
-
3
-
1
E
5
5
5
C
-
9
-
1
C
3
3
3
T
-
9
-
1
T
20
2
2
R
=
3
-
1
R
18
9
9
I
=
3
-
1
I
9
9
9
C
=
5
-
1
C
3
3
3
-
-
39
-
8
ELECTRIC
75
39
39
-
-
3+9
-
-
-
7+5
3+9
3+9
-
-
12
-
8
ELECTRIC
12
12
12
-
-
1+2
-
-
-
1+2
1+2
1+2
-
-
3
-
8
ELECTRIC
3
3
3

 

 

-
-
-
-
-
INVICTUS
-
-
-
I
=
9
-
1
I
9
9
9
N
=
5
-
1
N
14
5
5
V
=
4
-
1
V
22
4
4
I
=
9
-
1
I
9
9
9
C
-
3
-
1
C
3
3
3
T
-
2
-
1
T
20
2
2
U
-
3
-
1
U
21
3
3
S
=
1
-
1
S
19
10
1
-
-
36
-
8
INVICTUS
117
45
36
-
-
3+6
-
-
-
1+1+7
4+5
3+6
-
-
9
-
8
INVICTUS
9
9
9

 

 

 

Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

 

 

F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EVERY
75
30
3
A
=
1
-
6
ACTION
62
26
8
T
=
2
-
5
THERE
56
29
2
I
=
9
-
2
IS
28
19
1
A
=
1
-
2
AN
15
6
6
E
=
5
-
5
EQUAL
56
20
2
A
=
1
-
3
AND
19
10
1
O
=
6
-
8
OPPOSITE
115
43
7
R
=
9
-
8
REACTION
85
40
4
-
-
45
4
46
First Total
550
244
37
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
Q
-
9
-
10
Second Total
10
10
10
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
9
5
1
Essence of Number
1
1
1

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
F
=
6
-
3
FOR
39
21
3
-
-
-
3
-
5
-
-
-
9
E
=
5
-
5
EVERY
75
30
3
-
-
-
3
-
5
-
-
-
9
A
=
1
-
6
ACTION
62
26
8
-
-
-
-
-
5
-
-
8
9
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
5
-
-
-
9
I
=
9
-
2
IS
28
19
1
-
1
-
-
-
5
-
-
-
9
A
=
1
-
2
AN
15
6
6
-
-
-
-
-
5
6
-
-
9
E
=
5
-
5
EQUAL
56
20
2
-
-
2
-
-
5
-
-
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
5
-
-
-
9
O
=
6
-
8
OPPOSITE
115
43
7
-
-
-
-
-
5
-
7
-
9
R
=
9
-
8
REACTION
85
40
4
-
-
-
-
4
5
-
-
-
9
-
-
45
4
46
First Total
550
244
37
-
2
4
6
4
5
6
7
8
9
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
-
-
-
-
-
-
-
-
-
-
Q
-
9
-
10
Second Total
10
10
10
-
2
4
6
4
5
6
7
8
9
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
9
5
1
Essence of Number
1
1
1
-
2
4
6
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IS
28
19
1
-
1
-
-
-
5
-
-
-
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
5
-
-
-
9
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
5
-
-
-
9
E
=
5
-
5
EQUAL
56
20
2
-
-
2
-
-
5
-
-
-
9
F
=
6
-
3
FOR
39
21
3
-
-
-
3
-
5
-
-
-
9
E
=
5
-
5
EVERY
75
30
3
-
-
-
3
-
5
-
-
-
9
R
=
9
-
8
REACTION
85
40
4
-
-
-
-
4
5
-
-
-
9
A
=
1
-
2
AN
15
6
6
-
-
-
-
-
5
6
-
-
9
O
=
6
-
8
OPPOSITE
115
43
7
-
-
-
-
-
5
-
7
-
9
A
=
1
-
6
ACTION
62
26
8
-
-
-
-
-
5
-
-
8
9
-
-
45
4
46
First Total
550
244
37
-
2
4
6
4
5
6
7
8
9
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
-
-
-
-
-
-
-
-
-
-
Q
-
9
-
10
Second Total
10
10
10
-
2
4
6
4
5
6
7
8
9
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
9
5
1
Essence of Number
1
1
1
-
2
4
6
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
6
7
8
I
=
9
-
2
IS
28
19
1
-
1
-
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
-
-
-
E
=
5
-
5
EQUAL
56
20
2
-
-
2
-
-
-
-
-
F
=
6
-
3
FOR
39
21
3
-
-
-
3
-
-
-
-
E
=
5
-
5
EVERY
75
30
3
-
-
-
3
-
-
-
-
R
=
9
-
8
REACTION
85
40
4
-
-
-
-
4
-
-
-
A
=
1
-
2
AN
15
6
6
-
-
-
-
-
6
-
-
O
=
6
-
8
OPPOSITE
115
43
7
-
-
-
-
-
-
7
-
A
=
1
-
6
ACTION
62
26
8
-
-
-
-
-
-
-
8
-
-
45
4
46
First Total
550
244
37
-
2
4
6
4
6
7
8
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
-
-
-
-
-
-
-
-
Q
-
9
-
10
Second Total
10
10
10
-
2
4
6
4
6
7
8
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
9
5
1
Essence of Number
1
1
1
-
2
4
6
4
6
7
8

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
6
7
8
F
=
6
-
3
FOR
39
21
3
-
-
-
3
-
-
-
-
E
=
5
-
5
EVERY
75
30
3
-
-
-
3
-
-
-
-
A
=
1
-
6
ACTION
62
26
8
-
-
-
-
-
-
-
8
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
1
-
-
-
-
-
-
A
=
1
-
2
AN
15
6
6
-
-
-
-
-
6
-
-
E
=
5
-
5
EQUAL
56
20
2
-
-
2
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
O
=
6
-
8
OPPOSITE
115
43
7
-
-
-
-
-
-
7
-
R
=
9
-
8
REACTION
85
40
4
-
-
-
-
4
-
-
-
-
-
45
4
46
First Total
550
244
37
-
2
4
6
4
6
7
8
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
-
-
-
-
-
-
-
-
Q
-
9
-
10
Second Total
10
10
10
-
2
4
6
4
6
7
8
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
9
5
1
Essence of Number
1
1
1
-
2
4
6
4
6
7
8

 

 

 

 

Everything Is Energy and Science Has Proved It – Here Is How ...
https://www.learning-mind.com › Food for thought

14 Sep 2018 - Many spiritual traditions have viewed everything in the universe as part of an interconnected web of energy. ... Basically, there was a widespread belief that everything is energy or at least that a consciousness flows through everything. ... Quantum physics proves that solid matter does ...

If quantum mechanics hasn’t profoundly shocked you, you haven’t understood it yet. Everything we call real is made of things that cannot be regarded as real.”

– Niels Bohr

 

 

E
=
5
-
10
EVERYTHING
133
61
7
I
=
9
-
2
IS
28
19
1
E
=
5
-
16
ENERGY
74
38
2
-
-
19
-
18
First Total
235
118
10
-
-
1+9
-
1+8
Add to Reduce
2+3+5
1+1+8
1+0
-
-
10
-
9
Second Total
10
10
1
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
-
-
-
1
-
9
Essence of Number
1
1
1

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
-
-
19
-
18
First Total
235
118
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
V
=
4
2
1
V
22
4
4
-
-
-
3
4
-
6
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
R
=
9
4
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
Y
=
7
5
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
T
=
2
6
1
T
20
2
2
-
-
2
3
-
-
6
-
-
-
H
=
8
7
1
H
8
8
8
-
-
-
3
-
-
6
-
8
-
I
=
9
8
1
I
9
9
9
-
-
-
3
-
-
6
-
-
9
N
=
5
9
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
G
=
7
10
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
-
-
61
-
5
-
133
61
61
-
-
-
-
-
-
-
-
-
-
I
=
9
11
1
I
9
9
9
-
-
-
3
-
-
3
-
-
9
S
=
1
12
1
S
19
10
1
-
1
-
3
-
-
3
-
-
-
-
-
10
-
2
-
28
19
10
-
-
-
-
-
-
-
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
R
=
9
16
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
G
=
7
17
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
-
-
38
-
6
-
74
38
38
-
1
2
3
4
30
6
28
8
36
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
3+0
-
2+8
-
3+6
I
=
9
-
2
IS
28
19
1
-
1
2
3
4
3
6
10
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
1+0
-
-
-
-
19
-
18
First Total
235
118
10
-
1
2
3
4
3
6
1
8
9
-
-
1+9
-
1+8
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
10
-
9
Second Total
10
10
1
-
1
2
3
4
3
6
1
8
9
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
1
2
3
4
3
6
7
8
9

 

3+ 6 = 9

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
-
-
19
-
18
First Total
235
118
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
V
=
4
2
1
V
22
4
4
-
-
-
3
4
-
6
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
R
=
9
4
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
Y
=
7
5
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
T
=
2
6
1
T
20
2
2
-
-
2
3
-
-
6
-
-
-
H
=
8
7
1
H
8
8
8
-
-
-
3
-
-
6
-
8
-
I
=
9
8
1
I
9
9
9
-
-
-
3
-
-
6
-
-
9
N
=
5
9
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
G
=
7
10
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
I
=
9
11
1
I
9
9
9
-
-
-
3
-
-
3
-
-
9
S
=
1
12
1
S
19
10
1
-
1
-
3
-
-
3
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
R
=
9
16
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
G
=
7
17
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
-
-
38
-
6
-
74
38
38
-
1
2
3
4
30
6
28
8
36
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
3+0
-
2+8
-
3+6
I
=
9
-
2
IS
28
19
1
-
1
2
3
4
3
6
10
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
1+0
-
-
-
-
19
-
18
First Total
235
118
10
-
1
2
3
4
3
6
1
8
9
-
-
1+9
-
1+8
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
10
-
9
Second Total
10
10
1
-
1
2
3
4
3
6
1
8
9
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
1
2
3
4
3
6
7
8
9

 

3+ 6 = 9

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
-
-
19
-
18
First Total
235
118
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
12
1
S
19
10
1
-
1
-
3
-
-
3
-
-
-
T
=
2
6
1
T
20
2
2
-
-
2
3
-
-
6
-
-
-
V
=
4
2
1
V
22
4
4
-
-
-
3
4
-
6
-
-
-
E
=
5
1
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
N
=
5
9
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
3
-
5
6
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
3
-
5
6
-
-
-
Y
=
7
5
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
G
=
7
10
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
G
=
7
17
1
G
7
7
7
-
-
-
3
-
-
6
7
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
3
-
-
6
7
-
-
H
=
8
7
1
H
8
8
8
-
-
-
3
-
-
6
-
8
-
R
=
9
4
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
3
-
-
6
-
-
9
I
=
9
11
1
I
9
9
9
-
-
-
3
-
-
3
-
-
9
R
=
9
16
1
R
18
9
9
-
-
-
3
-
-
6
-
-
9
-
-
-
-
-
-
-
-
-
-
1
2
3
4
30
6
28
8
36
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
3+0
-
2+8
-
3+6
I
=
9
-
2
IS
28
19
1
-
1
2
3
4
3
6
10
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
1+0
-
-
-
-
19
-
18
First Total
235
118
10
-
1
2
3
4
3
6
1
8
9
-
-
1+9
-
1+8
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
10
-
9
Second Total
10
10
1
-
1
2
3
4
3
6
1
8
9
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
1
2
3
4
3
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
4
5
7
8
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
E
=
5
-
16
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
19
-
18
First Total
235
118
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
4
5
7
8
9
S
=
1
12
1
S
19
10
1
-
1
-
-
-
-
-
-
T
=
2
6
1
T
20
2
2
-
-
2
-
-
-
-
-
V
=
4
2
1
V
22
4
4
-
-
-
4
-
-
-
-
E
=
5
1
1
E
5
5
5
-
-
-
-
5
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
-
5
-
-
-
N
=
5
9
1
N
14
5
5
-
-
-
-
5
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
5
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
-
5
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
5
-
-
-
Y
=
7
5
1
Y
25
7
7
-
-
-
-
-
7
-
-
G
=
7
10
1
G
7
7
7
-
-
-
-
-
7
-
-
G
=
7
17
1
G
7
7
7
-
-
-
-
-
7
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
-
-
7
-
-
H
=
8
7
1
H
8
8
8
-
-
-
-
-
-
8
-
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
-
-
-
-
9
I
=
9
11
1
I
9
9
9
-
-
-
-
-
-
-
9
R
=
9
16
1
R
18
9
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
1
2
4
30
28
8
36
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
3+0
2+8
-
3+6
I
=
9
-
2
IS
28
19
1
-
1
2
4
3
10
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
1+0
-
-
-
-
19
-
18
First Total
235
118
10
-
1
2
4
3
1
8
9
-
-
1+9
-
1+8
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
10
-
9
Second Total
10
10
1
-
1
2
4
3
1
8
9
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
1
2
4
3
7
8
9

 


Everything Is Energy and Science Has Proved It – Here Is How ...
https://www.learning-mind.com › Food for thought

14 Sep 2018 - Many spiritual traditions have viewed everything in the universe as part of an interconnected web of energy. ... Basically, there was a widespread belief that everything is energy or at least that a consciousness flows through everything. ... Quantum physics proves that solid matter does ...

If quantum mechanics hasn’t profoundly shocked you, you haven’t understood it yet. Everything we call real is made of things that cannot be regarded as real.”

– Niels Bohr

Many spiritual traditions have viewed everything in the universe as part of an interconnected web of energy. Now, science has proved everything is energy.

Throughout history, humans have believed in various religious and spiritual traditions. Many of these beliefs include an element of the unseen, something more than the reality we see before our eyes. These different energies have been called soul, spirit, qi, life force and various other names. Basically, there was a widespread belief that everything is energy or at least that a consciousness flows through everything.

Newtonian Physics

These widespread beliefs were challenged at the end of the seventeenth century when Newtonian physics became the cornerstone of science. This new science described a set of physical laws that affect the motion of bodies under the influence of a system of forces.


It perceived the universe as a sort of clockwork model. Even us humans were simply complex machines. Only what could be perceived with the senses and measured by scientific instruments was real. The rest was just made-up nonsense the old-fashioned beliefs of primitive, uneducated people.

The New Science

In the 1900’s beliefs changed again with the beginnings of quantum physics. This new science accepts that the universe, including us, is made up of energy, not matter.

Quantum mechanics arose from Max Planck’s solution in 1900 to the black-body radiation problem. It was also influenced by Albert Einstein’s 1905 paper which offered a quantum-based theory to explain the photoelectric effect. The theory was further developed in the mid-1920s by Erwin Schrödinger, Werner Heisenberg and Max Born among others.

Quantum Physics

Quantum physics proves that solid matter does not exist in the universe. Atoms are not solid, in fact, they have three different subatomic particles inside them: protons, neutrons, and electrons. The protons and neutrons are packed together into the center of the atom, while the electrons whizz around the outside. The electrons move so quickly that we never know exactly where they are from one moment to the next.

In reality, the atoms that form objects and substances that we call solid are actually made up of 99.99999% space.

And, as everything is made of atoms, which are energy, this shows us that everything is made up of energy. The energy that makes you is the same energy that composes trees, rocks, the chair you are sitting on and the phone, computer or tablet you are using to read this article. It’s all made of the same stuff – energy.

This has been proven time and time again by multiple Nobel Prize-winning physicists, including Niels Bohr, a Danish Physicist who made significant contributions to the understanding of quantum theory.

 

F
=
6
-
6
FERMIS
70
34
7
P
=
7
-
7
PARADOX
79
34
7
-
-
13
4
13
First Total
149
68
14
-
-
1+3
-
1+3
Add to Reduce
1+4+9
6+8
1+4
-
-
4
-
6
Second Total
14
14
5
-
-
-
4
-
Reduce to Deduce
1+4
1+4
-
-
-
4
5
6
Essence of Number
5
5
5

 

 

Flying Saucers and Science

A Scientisis Investigates The MYSTERIES OF UFOs

Stanton T. Friedman 2008

Chapter 5 The Cult of Seti

Page 145

The Fermi Paradox

"Two key scientists who were involved were Lise Meitner and Otto Frisch. They published a paper and shared information with Niels Bohr, the great Danish physicist. He brought the details to the United States. It was then determined that fission had actually taken place with the release of an amount of energy / Page 146 / indicating that the difference in the weight of the new atoms and the original uranium atom had been converted to energy by the famous E = mc2 equation. (E stands for energy, m for mass and c is the speed of light.) A key discovery was that the fission also produced more neutrons immediately indicating that a nuclear reaction was possible."

 

 

E
=
5
-
1
E
5
5
5
S
=
1
-
6
STANDS
77
14
5
F
=
6
-
3
FOR
39
21
3
E
=
5
-
6
ENERGY
74
38
2
M
=
4
-
1
M
13
4
4
F
=
6
-
3
FOR
39
21
3
M
=
4
-
4
MASS
52
7
7
A
=
1
-
3
AND
19
10
1
C
=
3
-
1
C
3
3
3
I
=
9
-
2
IS
28
10
1
T
=
2
-
3
THE
33
15
6
S
=
1
-
5
SPEED
47
22
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
56
4
45
First Total
508
211
49
-
-
5+6
-
4+5
Add to Reduce
5+0+8
2+1+1
4+9
-
-
11
-
9
Second Total
13
4
13
-
-
1+1
4
-
Reduce to Deduce
1+3
-
1+3
-
-
2
5
9
Essence of Number
4
4
4

 

 

E
=
5
-
6
ENERGY
74
38
2
M
=
4
-
4
MASS
52
7
7
S
=
1
-
5
SPEED
47
22
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
19
4
22
First Total
252
108
18
-
-
1+9
-
2+2
Add to Reduce
2+5+2
1+0+8
1+8
-
-
10
-
4
Second Total
9
9
9
-
-
1+0
4
-
Reduce to Deduce
-
-
-
-
-
7
5
4
Essence of Number
9
9
9

 

 

E
=
5
-
-
ENERGY
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
G+Y
32
14
5
E
=
5
-
6
ENERGY
74
38
29
-
-
-
-
-
-
7+4
3+8
2+9
E
=
5
4
6
ENERGY
11
11
11
-
-
-
-
-
-
1+1
1+1
1+1
E
=
5
4
6
ENERGY
2
2
2

 

 

E
=
5
-
-
ENERGIES
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
G
7
7
7
-
-
-
-
1
I
9
9
9
-
-
-
-
1
E
5
5
5
-
-
-
-
1
S
19
10
1
E
=
5
Q
8
ENERGIES
82
55
46
-
-
-
-
-
-
8+2
5+5
4+6
E
=
5
Q
8
ENERGIES
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
E
=
5
Q
8
ENERGIES
1
1
1

 

 

E
=
5
-
-
ENERGISED
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
G
7
7
7
-
-
-
-
1
I
9
9
9
-
-
-
-
1
S
19
10
1
-
-
-
-
1
E
5
5
5
-
-
-
-
1
D
4
4
4
E
=
5
Q
9
ENERGISED
86
59
50
-
-
-
-
-
-
8+6
5+9
5+0
E
=
5
Q
9
ENERGISED
14
14
5
-
-
-
-
-
-
1+4
1+4
-
E
=
5
Q
9
ENERGISED
5
5
5

 

 

K
=
2
Q
7
KINETIC
71
35
8
E
=
5
Q
8
ENERGIES
82
55
1
Q
Q
7
Q
15
Add to Reduce
153
90
9
-
-
-
-
1+5
Reduce to Deduce
1+5+3
9+0
-
Q
Q
7
Q
6
Essence of Number
9
9
9

 

 

K
=
2
-
-
KINETIC
-
-
-
-
-
-
-
1
K
11
2
2
-
-
-
-
1
I
9
9
9
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
T
20
2
2
-
-
-
-
1
I
9
9
9
-
-
-
-
1
C
3
3
3
K
=
2
-
7
KINETIC
71
35
35
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
-
ENERGIES
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
G
7
7
7
-
-
-
-
1
I
9
9
9
-
-
-
-
1
E
5
5
5
-
-
-
-
1
S
19
10
1
E
=
5
-
8
ENERGIES
82
55
46
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
K
=
2
Q
7
KINETIC
71
35
35
E
=
5
Q
8
ENERGIES
82
55
46
Q
Q
7
Q
15
Add to Reduce
153
90
81
-
-
-
-
1+5
Reduce to Deduce
1+5+3
9+0
8+1
Q
Q
7
Q
6
Essence of Number
9
9
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
K
=
2
-
-
KINETIC
-
-
-
-
-
-
-
-
-
-
-
-
 
-
-
-
-
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
-
-
-
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
-
-
-
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
K
=
2
-
7
KINETIC
71
35
35
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
-
ENERGIES
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGIES
82
55
46
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
K
=
2
Q
7
KINETIC
71
35
35
-
-
-
-
-
-
-
-
-
-
E
=
5
Q
8
ENERGIES
82
55
46
-
-
-
-
-
-
-
-
-
-
Q
Q
7
Q
15
Add to Reduce
153
90
81
-
1
4
3
4
30
6
7
8
36
-
-
-
-
1+5
Reduce to Deduce
1+5+3
9+0
8+1
-
-
-
-
-
3+0
-
-
-
8+1
Q
Q
7
Q
6
Essence of Number
9
9
9
-
1
4
3
4
3
6
7
8
9

 

 

E
=
5
-
-
ENERGY
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
G+Y
32
14
5
E
=
5
-
6
ENERGY
74
38
29
-
-
-
-
-
-
7+4
3+8
2+9
E
=
5
4
6
ENERGY
11
11
11
-
-
-
-
-
-
1+1
1+1
1+1
E
=
5
4
6
ENERGY
2
2
2

 


E
=
5
-
-
ENERGY
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
G+Y
32
14
5
E
=
5
-
6
ENERGY
74
38
29
-
-
-
-
-
-
7+4
3+8
2+9
E
=
5
4
6
ENERGY
11
11
11
-
-
-
-
-
-
1+1
1+1
1+1
E
=
5
4
6
ENERGY
2
2
2

 


6
ENERGY
74
38
2
8
ENERGIES
82
46
1
9
ENERGISED
86
50
5

 

 

Everything Is Energy and Science Has Proved It – Here Is How ...
https://www.learning-mind.com › Food for thought

14 Sep 2018 - Many spiritual traditions have viewed everything in the universe as part of an interconnected web of energy. ... Basically, there was a widespread belief that everything is energy or at least that a consciousness flows through everything. ... Quantum physics proves that solid matter does ...

If quantum mechanics hasn’t profoundly shocked you, you haven’t understood it yet. Everything we call real is made of things that cannot be regarded as real.”

– Niels Bohr

 

energy' related words: work vitality electricity [598 more]
relatedwords.org › relatedto › energy

Words Related to energy According to the algorithm that drives this word similarity engine, the top 5 related words for "energy" are: kinetic energy, work, radiant energy, vitality, and electricity.

 

Energy is from energos, an ancient Greek word that means "active or working.

 

E
=
5
-
-
ENERGOS
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
G
7
7
7
-
-
-
-
1
O
15
6
6
-
-
-
-
1
S
19
10
1
E
=
5
-
7
ENERGOS
83
47
38
-
-
-
-
-
-
8+3
4+7
3+8
E
=
5
4
7
ENERGOS
11
11
11
-
-
-
-
-
-
1+1
1+1
1+1
E
=
5
4
7
ENERGOS
2
2
2

 

Energy is from energos, an ancient Greek word that means "active or working.

 

E
=
5
-
-
ENERGOS
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
G+O+S
41
14
5
E
=
5
-
7
ENERGOS
83
47
38
-
-
-
-
-
-
8+3
4+7
3+8
E
=
5
4
7
ENERGOS
11
11
11
-
-
-
-
-
-
1+1
1+1
1+1
E
=
5
4
7
ENERGOS
2
2
2

 

" The word "energy" was first used in the scientific sense of mechanical or electrical energy in the 1800s.

ENERGY ENERGIES ENERGISE ENERGISES ENERGISED ENERGISING

 

E
=
5
-
6
ENERGY
74
38
2
E
=
5
-
8
ENERGIES
82
46
1
E
=
5
-
8
ENERGISE
82
46
1
E
=
5
-
9
ENERGISES
101
38
2
E
=
5
-
9
ENERGISED
86
50
5
E
=
5
-
10
ENERGISING
107
62
8
-
-
30
-
50
First Total
532
280
19
-
-
3+0
-
5+0
Add to Reduce
2+3+5
1+1+8
1+0
-
-
3
-
5
Second Total
10
10
1
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
3
-
5
Essence of Number
1
1
1

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGISE
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
-
-
-
-
-
-
-
-
-
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
2
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
3
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
4
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
5
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
Y
=
7
6
1
Y
25
7
7
-
-
2
3
-
-
6
7
8
-
-
-
38
-
6
-
74
38
38
-
-
-
-
-
-
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
8
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
9
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
10
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
11
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
12
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
E
=
5
13
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
S
=
1
14
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
-
-
46
-
8
-
82
55
46
-
-
-
-
-
-
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
16
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
17
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
18
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
19
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
20
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
21
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
22
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
-
-
46
-
8
-
82
55
46
-
-
-
-
-
-
-
-
-
-
E
=
5
23
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
24
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
25
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
26
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
27
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
28
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
29
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
30
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
S
=
1
31
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
-
-
47
-
9
-
101
65
47
-
-
-
-
-
-
-
-
8
-
E
=
5
32
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
33
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
34
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
35
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
36
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
37
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
38
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
39
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
D
=
4
40
1
D
4
4
4
-
-
2
3
4
-
6
-
8
-
-
-
50
-
9
-
86
59
50
-
-
-
-
-
-
-
-
-
-
E
=
5
41
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
42
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
43
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
44
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
45
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
46
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
47
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
I
=
9
48
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
N
=
5
49
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
G
=
7
50
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
-
-
50
-
10
-
107
71
62
-
-
-
-
-
-
-
-
-
-
E
=
5
-
6
ENERGY
74
38
2
-
6
2
3
4
115
6
56
8
108
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
1+1+5
-
5+6
-
1+0+8
E
=
5
-
8
ENERGISE
82
55
1
-
6
2
3
4
7
6
11
8
9
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
1+1
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
6
2
3
4
7
6
2
8
9
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
6
2
3
4
7
6
2
8
9
-
-
3+0
-
5+0
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Second Total
10
10
1
-
6
2
3
4
7
6
2
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Essence of Number
1
1
1
-
6
2
3
4
7
6
2
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGISE
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
-
-
-
-
-
-
-
-
-
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
2
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
3
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
4
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
5
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
Y
=
7
6
1
Y
25
7
7
-
-
2
3
-
-
6
7
8
-
E
=
5
7
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
8
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
9
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
10
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
11
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
12
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
E
=
5
13
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
S
=
1
14
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
15
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
16
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
17
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
18
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
19
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
20
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
21
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
22
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
23
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
24
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
25
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
26
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
27
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
28
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
29
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
30
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
S
=
1
31
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
32
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
33
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
34
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
35
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
36
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
37
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
38
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
E
=
5
39
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
D
=
4
40
1
D
4
4
4
-
-
2
3
4
-
6
-
8
-
E
=
5
41
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
42
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
43
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
R
=
9
44
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
G
=
7
45
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
I
=
9
46
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
S
=
1
47
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
I
=
9
48
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
N
=
5
49
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
G
=
7
50
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
E
=
5
-
6
ENERGY
74
38
2
-
6
2
3
4
115
6
56
8
108
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
1+1+5
-
5+6
-
1+0+8
E
=
5
-
8
ENERGISE
82
55
1
-
6
2
3
4
7
6
11
8
9
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
1+1
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
6
2
3
4
7
6
2
8
9
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
6
2
3
4
7
6
2
8
9
-
-
3+0
-
5+0
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Second Total
10
10
1
-
6
2
3
4
7
6
2
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Essence of Number
1
1
1
-
6
2
3
4
7
6
2
8
9

 

ENERGYENERGIESENERGISEENERGISESENERGISEDENERGISING

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
6
ENERGY
74
38
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
8
ENERGISE
82
55
1
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
-
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
-
-
-
-
-
-
-
-
-
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
14
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
S
=
1
21
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
S
=
1
31
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
S
=
1
29
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
S
=
1
38
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
S
=
1
47
1
S
19
10
1
-
1
2
3
-
-
6
-
8
-
D
=
4
40
1
D
4
4
4
-
-
2
3
4
-
6
-
8
-
E
=
5
1
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
2
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
3
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
7
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
8
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
9
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
13
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
15
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
16
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
17
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
22
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
23
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
24
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
25
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
30
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
32
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
33
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
34
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
39
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
41
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
42
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
E
=
5
43
1
E
5
5
5
-
-
2
3
-
5
6
-
8
-
N
=
5
49
1
N
14
5
5
-
-
2
3
-
5
6
-
8
-
G
=
7
5
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
Y
=
7
6
1
Y
25
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
11
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
19
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
27
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
36
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
45
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
G
=
7
50
1
G
7
7
7
-
-
2
3
-
-
6
7
8
-
R
=
9
10
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
12
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
R
=
9
18
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
R
=
9
4
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
20
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
R
=
9
26
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
28
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
R
=
9
35
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
37
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
R
=
9
44
1
R
18
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
46
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
I
=
9
48
1
I
9
9
9
-
-
2
3
-
-
6
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
E
=
5
-
6
ENERGY
74
38
2
-
6
2
3
4
115
6
56
8
108
E
=
5
-
8
ENERGIES
82
55
1
-
-
-
-
-
1+1+5
-
5+6
-
1+0+8
E
=
5
-
8
ENERGISE
82
55
1
-
6
2
3
4
7
6
11
8
9
E
=
5
-
9
ENERGISES
101
65
2
-
-
-
-
-
-
-
1+1
-
-
E
=
5
-
9
ENERGISED
86
59
5
-
6
2
3
4
7
6
2
8
9
E
=
5
-
10
ENERGISING
107
71
8
-
-
-
-
-
-
-
-
-
-
-
-
30
-
50
First Total
532
343
19
-
6
2
3
4
7
6
2
8
9
-
-
3+0
-
5+0
Add to Reduce
2+3+5
1+1+8
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Second Total
10
10
1
-
6
2
3
4
7
6
2
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
5
Essence of Number
1
1
1
-
6
2
3
4
7
6
2
8
9

 

 

SOUL SO U LIVE
SOUL SO U LEARN
SOUL SO U LOVE

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
PROBLEMS
-
-
-
-
-
-
-
-
-
-
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
8
9
-
-
3+7
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
8
9
-
-
1+0
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
PROBLEMS
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
8
9
-
-
3+7
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
8
9
-
-
1+0
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
9
-
-
-
-
-
PROBLEMS
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
-
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
O
=
6
-
1
O
15
6
6
-
-
-
-
-
-
6
-
-
P
=
7
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
-
-
9
-
-
37
-
8
PROBLEMS
100
46
37
-
1
2
3
4
5
6
7
9
-
-
3+7
-
-
1+0+0
4+6
3+7
-
-
-
-
-
-
-
-
-
-
10
-
8
PROBLEMS
1
10
10
-
1
2
3
4
5
6
7
9
-
-
1+0
-
-
-
1+0
1+0
-
-
-
-
-
-
-
-
-
-
1
-
8
PROBLEMS
1
1
1
-
1
2
3
4
5
6
7
9

 

 

-
-
-
-
11

GLORIA IN EXCELSIS

-
-
-
G
=
7
-
6
GLORIA
62
35
8
I
=
9
-
2
IN
23
14
5
E
=
5
-
8
EXCELSIS
96
33
6
-
-
21
-
16

GLORIA IN EXCELSIS

181
82
19
-
-
2+1
-
1+6
-
1+8+1
8+2
1+9
-
-
3
-
7

GLORIA IN EXCELSIS

10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
-
-
3
-
72

GLORIA IN EXCELSIS

1
1
1

 

 

-
-
-
-
15

SOLVING PROBLEMS

-
-
-
S
=
1
-
7
SOLVING
98
44
8
P
=
7
-
8
PROBLEMS
100
46
1
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
-
-
-
1+5
-
1+9+8
9+0
-
-
-
8
-
6

SOLVING PROBLEMS

18
9
9
-
-
-
-
-
-
1+0
-
-
-
-
8
-
6

SOLVING PROBLEMS

1
9
9

 

 

-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SOLVING
98
44
8
-
-
-
-
-
-
-
-
-
-
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
-
-
-
-
-
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SOLVING
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
PROBLEMS
-
-
-
-
-
-
-
-
-
-
-
-
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SOLVING
98
44
8
-
2
2
6
8
10
12
14
8
18
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
1+5
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

9
9
9
-
2
2
6
8
1
3
5
8
9

 

 

-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SOLVING
98
44
8
-
-
-
-
-
-
-
-
-
-
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
-
-
-
-
-
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SOLVING
98
44
8
-
2
2
6
8
10
12
14
8
18
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
1+5
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

9
9
9
-
2
2
6
8
1
3
5
8
9

 

 

-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SOLVING
98
44
8
-
-
-
-
-
-
-
-
-
-
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
-
-
-
-
-
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
S
=
1
15
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
B
=
2
11
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
3
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
5
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
15

SOLVING PROBLEMS

-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
7
SOLVING
98
44
8
-
2
2
6
8
10
12
14
8
18
P
=
7
-
8
PROBLEMS
100
46
1
-
-
-
-
-
1+0
1+2
1+4
-
1+8
-
-
8
-
15

SOLVING PROBLEMS

198
90
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
1+5
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

18
9
9
-
2
2
6
8
1
3
5
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
6

SOLVING PROBLEMS

9
9
9
-
2
2
6
8
1
3
5
8
9

 

TRANSPOSED LETTERS REARRANGED IN NUMERICAL ORDER

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Preface to the New Edition

Page 5
Twelve years ago a little boy entered my imagination as he hopped across the centuries and played with numbers. I began to see how the simple architecture of our decimal system could be constructed in secret ways — not a building project this time but an abstract one. On the surface of our arithmetic countless combinations of numbers take part in tedious and exacting calculations but underneath it all there is pattern, governed by a repeating code of integers. The Sigma Code reduces numbers to a single digit and the illusion of the many is seen to be but the reflection of a few. This is not a book on maths: this is a book for anyone who can carry out simple sums in their heads, and who won't be short-changed knowingly.
When Number 9 first came out I received mail from many who played with numbers. They chased patterns; some had special numbers and even mystical systems. I was tempted to write about numerology but resisted. I wanted to write about the intricacy of what the.. numbers actually do and leave the reader to wonder about the larger irrational that seems to hover around such constructions.
If I were writing this book today the numbers would have featured in a wider context of structuring nature's patterns, and also playing the role of animator in algorithms that create unique architectural forms and shapes. I would also include my previous research into other base systems. But this book was a first step which came from a child-like urge, like playing with building blocks, to build out of our numbers — just the simple 1, 2, 3, up to number 9.

 

RESEARCH R E SEARCH ER RESEARCH

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

NUMBER = 534259 = 1 = 534259 NUMBER

NUMBER = 234559 NUMBER

NUMBER = 534259 = 1 = 534259 NUMBER

 

 

NUMBERS = 5342591 = 2 = 5342591 NUMBERS

SBUMNER = 1234559 = SBUMNER

NUMBERS = 5342591 = 2 = 5342591 NUMBERS

 

-
-
-
-
Q
NUMBERS
-
Q
Q
-
1
2
3
4
5
6
7
8
9
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
6
7
8
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
6
7
8
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
6
7
8
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
6
7
8
9
S
=
1
-
1
S
19
1
1
-
1
-
-
-
-
6
7
8
-
-
-
29
4
7
NUMBERS
92
29
29
-
1
2
3
4
10
6
7
8
9
-
-
2+9
Q
-
Q
9+2
2+9
2+9
-
-
-
-
-
1+0
-
-
-
-
Q
-
11
-
7
NUMBERS
11
11
11
-
1
2
3
4
1
6
7
8
9
-
-
1+1
Q
-
Q
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
Q
-
2
-
7
NUMBERS
2
2
2
-
1
2
3
4
1
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
9
-
-
-
-
Q
NUMBERS
-
Q
Q
-
-
-
-
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
S
=
1
-
1
S
19
1
1
-
1
-
-
-
-
-
-
-
29
4
7
NUMBERS
92
29
29
-
1
2
3
4
10
9
-
-
2+9
Q
-
Q
9+2
2+9
2+9
-
-
-
-
-
1+0
-
Q
-
11
-
7
NUMBERS
11
11
11
-
1
2
3
4
1
9
-
-
1+1
Q
-
Q
1+1
1+1
1+1
-
-
-
-
-
-
-
Q
-
2
-
7
NUMBERS
2
2
2
-
1
2
3
4
1
9

 

 

-
-
-
-
Q
NUMBERS
-
Q
Q
-
1
2
3
4
5
6
7
8
9
S
=
1
-
1
S
19
1
1
-
1
-
-
-
-
6
7
8
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
6
7
8
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
6
7
8
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
6
7
8
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
6
7
8
9
-
-
29
4
7
NUMBERS
92
29
29
-
1
2
3
4
10
6
7
8
9
-
-
2+9
Q
-
Q
9+2
2+9
2+9
-
-
-
-
-
1+0
-
-
-
-
Q
-
11
-
7
NUMBERS
11
11
11
-
1
2
3
4
1
6
7
8
9
-
-
1+1
Q
-
Q
1+1
1+1
1+1
-
-
-
-
-
-
-
-
-
-
Q
-
2
-
7
NUMBERS
2
2
2
-
1
2
3
4
1
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
9
-
-
-
-
Q
NUMBERS
-
Q
Q
-
-
-
-
-
-
-
S
=
1
-
1
S
19
1
1
-
1
-
-
-
-
-
B
=
2
-
1
B
2
2
2
-
-
2
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
M
=
4
-
1
M
13
4
4
-
-
-
-
4
-
-
N
=
5
-
1
N
14
5
5
-
-
-
-
-
5
-
E
=
5
-
1
E
5
5
5
-
-
-
-
-
5
-
R
=
9
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
29
4
7
NUMBERS
92
29
29
-
1
2
3
4
10
9
-
-
2+9
Q
-
Q
9+2
2+9
2+9
-
-
-
-
-
1+0
-
Q
-
11
-
7
NUMBERS
11
11
11
-
1
2
3
4
1
9
-
-
1+1
Q
-
Q
1+1
1+1
1+1
-
-
-
-
-
-
-
Q
-
2
-
7
NUMBERS
2
2
2
-
1
2
3
4
1
9

 

 

THE

BALANCING

ONE TWO THREE FOUR

FIVE

NINE EIGHT SEVEN SIX

4 FIVE 42 24 6

1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1

15 ONE TWO THREE FOUR 208 82 1
4 FIVE 42 24 6
17 NINE EIGHT SEVEN SIX 208 91 1

1234 5 6789

 

 

prime number - Whatis Techtarget
https://whatis.techtarget.com/definition/prime-number
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole numbers that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

 


Prime number - Wikipedia
https://en.wikipedia.org/wiki/Prime_number

The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence A000040 in the OEIS).
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 6 is composite because it is the product of two numbers (2 × 3) that are both smaller than 6. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

There are infinitely many primes, as demonstrated by Euclid around 300 BC. No known simple formula separates prime numbers from composite numbers. However, the distribution of primes within the natural numbers in the large can be statistically modelled. The first result in that direction is the prime number theorem, proven at the end of the 19th century, which says that the probability of a randomly chosen number being prime is inversely proportional to its number of digits, that is, to its logarithm.
Several historical questions regarding prime numbers are still unsolved. These include Goldbach's conjecture, that every even integer greater than 2 can be expressed as the sum of two primes, and the twin prime conjecture, that there are infinitely many pairs of primes having just one even number between them. Such questions spurred the development of various branches of number theory, focusing on analytic or algebraic aspects of numbers. Primes are used in several routines in information technology, such as public-key cryptography, which relies on the difficulty of factoring large numbers into their prime factors. In abstract algebra, objects that behave in a generalized way like prime numbers include prime elements and prime ideals.

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. There are several proofs of the theorem.

 

Prime numbers
www-groups.dcs.st-and.ac.uk/history/HistTopics/Prime_numbers.html
Euclid also showed that if the number 2n - 1 is prime then the number 2n-1(2n - 1) is a perfect number. The mathematician Euler (much later in 1747) was able to ...
Prime numbers

Number theory index History Topics Index

Version for printing

Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians.
The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers.
A perfect number is one whose proper divisors sum to the number itself. e.g. The number 6 has proper divisors 1, 2 and 3 and 1 + 2 + 3 = 6, 28 has divisors 1, 2, 4, 7 and 14 and 1 + 2 + 4 + 7 + 14 = 28.
A pair of amicable numbers is a pair like 220 and 284 such that the proper divisors of one number sum to the other and vice versa.
You can see more about these numbers in the History topics article Perfect numbers.

By the time Euclid's Elements appeared in about 300 BC, several important results about primes had been proved. In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way.

Euclid also showed that if the number 2n - 1 is prime then the number 2n-1(2n - 1) is a perfect number. The mathematician Euler (much later in 1747) was able to show that all even perfect numbers are of this form. It is not known to this day whether there are any odd perfect numbers.

In about 200 BC the Greek Eratosthenes devised an algorithm for calculating primes called the Sieve of Eratosthenes.

There is then a long gap in the history of prime numbers during what is usually called the Dark Ages.

 

PRIME NUMBERS

 

P
=
2
-
5
PRIME
61
34
7
N
=
2
-
7
NUMBERS
92
38
2
-
-
17
-
12
Add to Reduce
153
72
9
-
-
1+7
-
1+2
Reduce to Deduce
1+5+3
7+2
-
-
-
8
-
3
Essence of Number
9
9
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
2
-
5
PRIME
61
34
7
-
-
-
-
-
-
-
-
-
-
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
34
-
11
-
61
34
34
-
-
-
-
-
-
-
-
-
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
7
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
8
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
9
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
12
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
29
-
10
-
92
38
29
-
1
2
3
8
15
6
7
8
27
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
-
-
-
2+7
P
=
2
-
5
PRIME
61
34
7
-
1
2
3
8
6
6
7
8
9
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
1
2
3
8
6
6
7
8
9
-
-
1+7
-
1+2
Reduce to Deduce
1+5+3
7+2
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
3
Essence of Number
9
9
9
-
1
2
3
8
6
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
2
-
5
PRIME
61
34
7
-
-
-
-
-
-
-
-
-
-
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
6
7
8
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
6
-
8
9
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
6
-
8
9
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
6
-
8
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
6
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
6
-
8
-
U
=
3
7
1
U
21
3
3
-
-
-
3
-
-
6
-
8
-
M
=
4
8
1
M
13
4
4
-
-
-
-
4
-
6
-
8
-
B
=
2
9
1
B
2
2
2
-
-
2
-
-
-
6
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
6
-
8
-
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
6
-
8
9
S
=
1
12
1
S
19
10
1
-
1
-
-
-
-
6
-
8
-
-
-
-
-
-
-
-
-
-
-
1
2
3
8
15
6
7
8
27
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
-
-
-
2+7
P
=
2
-
5
PRIME
61
34
7
-
1
2
3
8
6
6
7
8
9
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
1
2
3
8
6
6
7
8
9
-
-
1+7
-
1+2
Reduce to Deduce
1+5+3
7+2
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
3
Essence of Number
9
9
9
-
1
2
3
8
6
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
2
-
5
PRIME
61
34
7
-
-
-
-
-
-
-
-
-
-
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
12
1
S
19
10
1
-
1
-
-
-
-
6
-
8
-
B
=
2
9
1
B
2
2
2
-
-
2
-
-
-
6
-
8
-
U
=
3
7
1
U
21
3
3
-
-
-
3
-
-
6
-
8
-
M
=
4
8
1
M
13
4
4
-
-
-
-
4
-
6
-
8
-
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
6
-
8
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
6
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
6
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
6
-
8
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
6
7
8
-
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
6
-
8
9
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
6
-
8
9
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
6
-
8
9
-
-
-
-
-
-
-
-
-
-
1
2
3
8
15
6
7
8
27
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
-
-
-
2+7
P
=
2
-
5
PRIME
61
34
7
-
1
2
3
8
6
6
7
8
9
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
1
2
3
8
6
6
7
8
9
-
-
1+7
-
1+2
Reduce to Deduce
1+5+3
7+2
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
3
Essence of Number
9
9
9
-
1
2
3
8
6
6
7
8
9

 

6 +8 = 14 1+4 = 5

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
7
9
P
=
2
-
5
PRIME
61
34
7
-
-
-
-
-
-
-
-
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
7
9
S
=
1
12
1
S
19
10
1
-
1
-
-
-
-
-
-
B
=
2
9
1
B
2
2
2
-
-
2
-
-
-
-
-
U
=
3
7
1
U
21
3
3
-
-
-
3
-
-
-
-
M
=
4
8
1
M
13
4
4
-
-
-
-
4
-
-
-
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
7
-
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
9
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
9
R
=
9
11
1
R
18
9
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
1
2
3
8
15
7
27
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+5
-
2+7
P
=
2
-
5
PRIME
61
34
7
-
1
2
3
8
6
7
9
N
=
2
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
17
-
12
Add to Reduce
153
72
9
-
1
2
3
8
6
7
9
-
-
1+7
-
1+2
Reduce to Deduce
1+5+3
7+2
-
-
-
-
-
-
-
-
-
-
-
8
-
3
Essence of Number
9
9
9
-
1
2
3
8
6
7
9

 

 

I = 9 9 = I
ME = 9 9 = ME
BRAIN + BODY = 9 9 = BODY + BRAIN
LIGHT + DARK = 9 9 = DARK + LIGHT
ENERGY + MASS = 9 9 = MASS +ENERGY
MIND + MATTER = 9 9 = MATTER + MIND
MAGNETIC + FIELD = 9 9 = FIELD + MAGNETIC
POSITIVE + NEGATIVE = 9 9 = NEGATIVE + POSITIVE
973 OM AZAZAZAZAZAZAZAZAZZAZAZAZAZAZAZAZAZAOM 973

 


thermodynamic properties of hydrogen-helium plasmas
ntrs.nasa.gov

Thermodynamic properties of hydrogen-helium plasmas The thermodynamic properties of an atomic hydrogen-helium plasma are calculated and tabulated for ...

 

Thermodynamic properties of hydrogen-helium plasmas. - AIAA
arc.aiaa.org

The shock layer plasma consists of electrons, protons, atomic hydrogen, atomic helium, singly ionized helium, and doubly ionized helium. The thermodynamic ...
by HF NELSON · ?1972

 


Atomic processes in a low-density hydrogen-helium plasma ...
www.sciencedirect.com › science › article › pii

For a partially ionized hydrogen-helium plasma at 104–106 °K the processes bremsstrahlung, radiative and dielectronic recombination, excitation of discrete ...
by RJ Gould · ?1970 · ?Cited by 53 · ?Related articles

 

-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
H
=
8
=
8
HYDROGEN
96
51
6
H
=
8
=
6
HELIUM
68
32
5
P
=
7
=
6
PLASMA
62
26
8
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
-
2+3
-
2+0
-
2+2+6
1+0+9
1+9
-
-
5
-
20
HYDROGEN HELIUM PLASMA
10
10
10
-
-
-
-
2+0
-
1+0
1+0
1+0
-
-
5
-
20
HYDROGEN HELIUM PLASMA
1
1
1

 

 

-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
-
-
-
-
-
-
H
=
8
=
6
HELIUM
68
32
5
-
-
-
-
-
-
-
-
-
-
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
H
=
8
1
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
Y
=
7
2
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
6
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
8
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
51
-
-
-
96
51
51
-
-
-
-
-
-
-
-
-
-
H
=
8
9
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
L
=
3
11
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
12
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
U
=
3
13
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
32
-
-
-
68
32
32
-
-
-
-
-
-
-
-
-
-
P
=
7
15
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
L
=
3
16
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
S
=
1
18
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
M
=
4
19
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
A
=
1
20
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
26
-
-
-
62
26
17
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
3
2
9
12
15
6
21
16
18
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
1+2
1+5
-
2+1
1+6
1+8
H
=
8
=
6
HELIUM
68
32
5
-
3
2
9
3
6
6
3
7
9
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
2+2+6
1+0+9
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
10
10
10
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
1+0
1+0
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
HYDROGEN HELIUM PLASMA
1
1
1
-
3
2
9
3
6
6
3
7
9

 

 

-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
-
-
-
-
-
-
H
=
8
=
6
HELIUM
68
32
5
-
-
-
-
-
-
-
-
-
-
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
H
=
8
1
1
H
8
8
8
-
-
2
-
-
-
-
-
8
-
Y
=
7
2
1
Y
25
7
7
-
-
2
-
-
-
-
7
-
-
D
=
4
3
1
D
4
4
4
-
-
2
-
4
-
-
-
-
-
R
=
9
4
1
R
18
9
9
-
-
2
-
-
-
-
-
-
9
O
=
6
5
1
O
15
6
6
-
-
2
-
-
-
6
-
-
-
G
=
7
6
1
G
7
7
7
-
-
2
-
-
-
-
7
-
-
E
=
5
7
1
E
5
5
5
-
-
2
-
-
5
-
-
-
-
N
=
5
8
1
N
14
5
5
-
-
2
-
-
5
-
-
-
-
H
=
8
9
1
H
8
8
8
-
-
2
-
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
2
-
-
5
-
-
-
-
L
=
3
11
1
L
12
3
3
-
-
2
3
-
-
-
-
-
-
I
=
9
12
1
I
9
9
9
-
-
2
-
-
-
-
-
-
9
U
=
3
13
1
U
21
3
3
-
-
2
3
-
-
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
2
-
4
-
-
-
-
-
P
=
7
15
1
P
16
7
7
-
-
2
-
-
-
-
7
-
-
L
=
3
16
1
L
12
3
3
-
-
2
3
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
2
-
-
-
-
-
-
-
S
=
1
18
1
S
19
10
1
-
1
2
-
-
-
-
-
-
-
M
=
4
19
1
M
13
4
4
-
-
2
-
4
-
-
-
-
-
A
=
1
20
1
A
1
1
1
-
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
3
2
9
12
15
6
21
16
18
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
1+2
1+5
-
2+1
1+6
1+8
H
=
8
=
6
HELIUM
68
32
5
-
3
2
9
3
6
6
3
7
9
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
2+2+6
1+0+9
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
10
10
10
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
1+0
1+0
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
HYDROGEN HELIUM PLASMA
1
1
1
-
3
2
9
3
6
6
3
7
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
-
-
-
-
-
-
H
=
8
=
6
HELIUM
68
32
5
-
-
-
-
-
-
-
-
-
-
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
2
-
-
-
-
-
-
-
S
=
1
18
1
S
19
10
1
-
1
2
-
-
-
-
-
-
-
A
=
1
20
1
A
1
1
1
-
1
2
-
-
-
-
-
-
-
L
=
3
11
1
L
12
3
3
-
-
2
3
-
-
-
-
-
-
L
=
3
16
1
L
12
3
3
-
-
2
3
-
-
-
-
-
-
U
=
3
13
1
U
21
3
3
-
-
2
3
-
-
-
-
-
-
D
=
4
3
1
D
4
4
4
-
-
2
-
4
-
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
2
-
4
-
-
-
-
-
M
=
4
19
1
M
13
4
4
-
-
2
-
4
-
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
2
-
-
5
-
-
-
-
N
=
5
8
1
N
14
5
5
-
-
2
-
-
5
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
2
-
-
5
-
-
-
-
O
=
6
5
1
O
15
6
6
-
-
2
-
-
-
6
-
-
-
Y
=
7
2
1
Y
25
7
7
-
-
2
-
-
-
-
7
-
-
G
=
7
6
1
G
7
7
7
-
-
2
-
-
-
-
7
-
-
P
=
7
15
1
P
16
7
7
-
-
2
-
-
-
-
7
-
-
H
=
8
1
1
H
8
8
8
-
-
2
-
-
-
-
-
8
-
H
=
8
9
1
H
8
8
8
-
-
2
-
-
-
-
-
8
-
R
=
9
4
1
R
18
9
9
-
-
2
-
-
-
-
-
-
9
I
=
9
12
1
I
9
9
9
-
-
2
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
3
2
9
12
15
6
21
16
18
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
1+2
1+5
-
2+1
1+6
1+8
H
=
8
=
6
HELIUM
68
32
5
-
3
2
9
3
6
6
3
7
9
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
2+2+6
1+0+9
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
10
10
10
-
3
2
9
3
6
6
3
7
9
-
-
-
-
2+0
-
1+0
1+0
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
HYDROGEN HELIUM PLASMA
1
1
1
-
3
2
9
3
6
6
3
7
9

 

 

-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
1
3
4
5
6
7
8
9
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
-
-
-
-
-
-
H
=
8
=
6
HELIUM
68
32
5
-
-
-
-
-
-
-
-
-
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
1
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
-
-
-
-
S
=
1
18
1
S
19
10
1
-
1
-
-
-
-
-
-
-
A
=
1
20
1
A
1
1
1
-
1
-
-
-
-
-
-
-
L
=
3
11
1
L
12
3
3
-
-
3
-
-
-
-
-
-
L
=
3
16
1
L
12
3
3
-
-
3
-
-
-
-
-
-
U
=
3
13
1
U
21
3
3
-
-
3
-
-
-
-
-
-
D
=
4
3
1
D
4
4
4
-
-
-
4
-
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
4
-
-
-
-
-
M
=
4
19
1
M
13
4
4
-
-
-
4
-
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
5
-
-
-
-
N
=
5
8
1
N
14
5
5
-
-
-
-
5
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
5
-
-
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
6
-
-
-
Y
=
7
2
1
Y
25
7
7
-
-
-
-
-
-
7
-
-
G
=
7
6
1
G
7
7
7
-
-
-
-
-
-
7
-
-
P
=
7
15
1
P
16
7
7
-
-
-
-
-
-
7
-
-
H
=
8
1
1
H
8
8
8
-
-
-
-
-
-
-
8
-
H
=
8
9
1
H
8
8
8
-
-
-
-
-
-
-
8
-
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
-
9
I
=
9
12
1
I
9
9
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
-
-
-
-
3
9
12
15
6
21
16
18
H
=
8
=
8
HYDROGEN
96
51
6
-
-
-
1+2
1+5
-
2+1
1+6
1+8
H
=
8
=
6
HELIUM
68
32
5
-
3
9
3
6
6
3
7
9
P
=
7
=
6
PLASMA
62
26
8
-
-
-
-
-
-
-
-
-
-
-
23
-
20
HYDROGEN HELIUM PLASMA
226
109
19
-
3
9
3
6
6
3
7
9
-
-
-
-
2+0
-
2+2+6
1+0+9
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
20
HYDROGEN HELIUM PLASMA
10
10
10
-
3
9
3
6
6
3
7
9
-
-
-
-
2+0
-
1+0
1+0
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
2
HYDROGEN HELIUM PLASMA
1
1
1
-
3
9
3
6
6
3
7
9

 

 

1
I
9
9
9
4
TIME
47
20
2
4
EMIT
47
20
2
4
MITE
47
20
2
6
MINUTE
82
28
1
3
MIN
36
18
9
5
HOURS
81
27
9
5
HORUS
81
27
9
6
MINUTE
82
28
1
6
SECOND
60
24
6
4
HOUR
62
26
8

 

 

5
SIXTY
97
25
7
7
SECONDS
79
25
7
-
-
-
-
-
6
SECOND
60
24
6

 

 

3
ONE
34
16
7
4
HOUR
62
26
8

 

 

10
NAMES OF GOD
99
45
9
8
MOHAMMED
72
36
9
-
-
-
-
-
-
-
-
-
-
5
PEACE
30
21
3
2
BE
7
7
7
4
UPON
66
21
3
3
HIM
30
21
3
14
Add to Reduce
133
70
16
1+4
Reduce to Deduce
1+3+3
7+0
1+6
5
Essence of Number
7
7
7

 

 

6
EQUATE
69
24
6
8
EQUATION
102
39
3
9
EQUATIONS
121
40
4
5
COUNT
73
19
1
7
COUNTED
82
28
1
8
COUNTING
103
40
4
6
NUMBER
73
28
1
8
SEQUENCE
89
35
8

 

 

7
NUMBERS
92
29
2
9
SEQUENCES
108
36
9

 

 

5
COUNT
73
19
1
6
NUMBER
73
28
1
8
SEQUENCE
89
35
8
19
First Total
235
82
10
1+9
Add to Reduce
2+3+5
8+2
1+0
10
Second Total
10
10
1
1+0
Reduce to Deduce
1+0
1+0
-
1
Essence of Number
1
1
1

 

-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
G
=
7
-
7
GRAVITY
102
39
3
G
=
7
-
4
GODS
45
27
9
R
=
9
-
2
RA
19
10
1
V
=
4
-
8
VITALITY
118
37
1
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-
-
2+7
-
2+1
-
2+8+4
1+1+3
1+4
-
-
9
-
3
GRAVITY GODS RA VITALITY
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
5
5
5

 

 

-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-3
1
2
3
4
5
6
7
8
9
G
=
7
-
7
GRAVITY
102
39
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
-
-
-
R
=
9
-
2
RA
19
10
1
-
-
-
-
-
-
-
-
-
-
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-3
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-3
-
-
-
GRAVITY
-
-3
-
-
-
-
-
-
-
-
-
-
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
3
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
1
=
9
5
1
1
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
6
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
7
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-3
39
-
7
GRAVITY
102
39
39
-
-
-
-
-
-
-
-
-
-
-
-3
-
-
-
GODS
-
-3
-
-
-
-
-
-
-
-
-
-
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
9
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
10
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-3
18
-
4
GODS
45
27
18
-
-
-
-
-
-
-
-
-
-
-
-3
-
-
-
RA
-
-3
-
-
-
-
-
-
-
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
-
-3
10
-
2
RA
19
10
10
-
-
-
-
-
-
-
-
-
-
-
-3
-
-
-
VITALITY
-
-3
-
-
-
-
-
-
-
-
-
-
-
V
=
4
14
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
1
=
9
15
1
1
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
16
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
18
1
L
21
3
3
-
-
-
3
-
-
-
-
-
-
1
=
9
19
1
1
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
21
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
37
-
8
VITALITY
118
37
37
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
6
3
12
5
6
28
8
45
-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-
-
-
-
1+2
-
-
2+8
-
4+5
G
=
7
-
7
GRAVITY
102
39
3
-
4
6
3
3
5
6
10
8
9
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
1+0
-
-
R
=
9
-
2
RA
19
10
1
-
4
6
3
3
5
6
1
8
9
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-
4
6
3
3
5
6
1
8
9
-
-
2+7
-
2+1
-
2+8+4
1+1+3
1+4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
14
5
5
-
4
6
3
3
5
6
1
8
9
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
5
5
5
-
4
6
3
3
5
6
1
8
9

 

 

-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-3
1
2
3
4
5
6
7
8
9
G
=
7
-
7
GRAVITY
102
39
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
-
-
-
R
=
9
-
2
RA
19
10
1
-
-
-
-
-
-
-
-
-
-
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-3
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
5
-
7
8
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
5
-
-
8
9
A
=
1
3
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
5
-
-
8
-
1
=
9
5
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
T
=
2
6
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
Y
=
7
7
1
Y
25
7
7
-
-
-
-
-
5
-
7
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
5
-
7
8
-
O
=
6
9
1
O
15
6
6
-
-
-
-
-
5
6
-
8
-
D
=
4
10
1
D
4
4
4
-
-
-
-
4
5
-
-
8
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
5
-
-
8
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
5
-
-
8
9
A
=
1
13
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
V
=
4
14
1
V
22
4
4
-
-
-
-
4
5
-
-
8
-
1
=
9
15
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
T
=
2
16
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
L
=
3
18
1
L
21
3
3
-
-
-
3
-
5
-
-
8
-
1
=
9
19
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
T
=
2
20
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
Y
=
7
21
1
Y
25
7
7
-
-
-
-
-
5
-
7
8
-
-
-
-
-
-
-
-
-
-
-
4
6
3
12
5
6
28
8
45
-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-
-
-
-
1+2
-
-
2+8
-
4+5
G
=
7
-
7
GRAVITY
102
39
3
-
4
6
3
3
5
6
10
8
9
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
1+0
-
-
R
=
9
-
2
RA
19
10
1
-
4
6
3
3
5
6
1
8
9
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-
4
6
3
3
5
6
1
8
9
-
-
2+7
-
2+1
-
2+8+4
1+1+3
1+4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
14
5
5
-
4
6
3
3
5
6
1
8
9
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
5
5
5
-
4
6
3
3
5
6
1
8
9

 

LETTERS TRANSPOSED INTO NUMBERS REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-3
1
2
3
4
5
6
7
8
9
G
=
7
-
7
GRAVITY
102
39
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
-
-
-
R
=
9
-
2
RA
19
10
1
-
-
-
-
-
-
-
-
-
-
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-3
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
3
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
5
-
-
8
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
5
-
-
8
-
T
=
2
6
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
T
=
2
16
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
5
-
-
8
-
L
=
3
18
1
L
21
3
3
-
-
-
3
-
5
-
-
8
-
D
=
4
10
1
D
4
4
4
-
-
-
-
4
5
-
-
8
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
5
-
-
8
-
V
=
4
14
1
V
22
4
4
-
-
-
-
4
5
-
-
8
-
O
=
6
9
1
O
15
6
6
-
-
-
-
-
5
6
-
8
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
5
-
7
8
-
Y
=
7
7
1
Y
25
7
7
-
-
-
-
-
5
-
7
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
5
-
7
8
-
Y
=
7
21
1
Y
25
7
7
-
-
-
-
-
5
-
7
8
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
5
-
-
8
9
1
=
9
5
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
R
=
9
12
1
R
18
9
9
-
-
-
-
-
5
-
-
8
9
1
=
9
15
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
1
=
9
19
1
1
9
9
9
-
-
-
-
-
5
-
-
8
9
-
-
-
-
-
-
-
-
-
-
4
6
3
12
5
6
28
8
45
-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-
-
-
-
1+2
-
-
2+8
-
4+5
G
=
7
-
7
GRAVITY
102
39
3
-
4
6
3
3
5
6
10
8
9
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
1+0
-
-
R
=
9
-
2
RA
19
10
1
-
4
6
3
3
5
6
1
8
9
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-
4
6
3
3
5
6
1
8
9
-
-
2+7
-
2+1
-
2+8+4
1+1+3
1+4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
14
5
5
-
4
6
3
3
5
6
1
8
9
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
5
5
5
-
4
6
3
3
5
6
1
8
9

 

LETTERS TRANSPOSED INTO NUMBERS REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-3
1
2
3
4
6
7
9
G
=
7
-
7
GRAVITY
102
39
3
-
-
-
-
-
-
-
-
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
-
-
R
=
9
-
2
RA
19
10
1
-
-
-
-
-
-
-
-
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-3
1
2
3
4
6
7
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
3
1
A
1
1
1
-
1
-
-
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
-
-
A
=
1
17
1
A
1
1
1
-
1
-
-
-
-
-
-
T
=
2
6
1
T
20
2
2
-
-
2
-
-
-
-
-
T
=
2
16
1
T
20
2
2
-
-
2
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
L
=
3
18
1
L
21
3
3
-
-
-
3
-
-
-
-
D
=
4
10
1
D
4
4
4
-
-
-
-
4
-
-
-
V
=
4
4
1
V
22
4
4
-
-
-
-
4
-
-
-
V
=
4
14
1
V
22
4
4
-
-
-
-
4
-
-
-
O
=
6
9
1
O
15
6
6
-
-
-
-
-
6
-
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
-
7
-
Y
=
7
7
1
Y
25
7
7
-
-
-
-
-
-
7
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
7
-
Y
=
7
21
1
Y
25
7
7
-
-
-
-
-
-
7
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
9
1
=
9
5
1
1
9
9
9
-
-
-
-
-
-
-
9
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
9
1
=
9
15
1
1
9
9
9
-
-
-
-
-
-
-
9
1
=
9
19
1
1
9
9
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4
6
3
12
6
28
45
-
-
-
-
21
GRAVITY GODS RA VITALITY
-
-
-
-
-
-
-
1+2
-
2+8
4+5
G
=
7
-
7
GRAVITY
102
39
3
-
4
6
3
3
6
10
9
G
=
7
-
4
GODS
45
27
9
-
-
-
-
-
-
1+0
-
R
=
9
-
2
RA
19
10
1
-
4
6
3
3
6
1
9
V
=
4
-
8
VITALITY
118
37
1
-
-
-
-
-
-
-
-
-
-
27
-
21
GRAVITY GODS RA VITALITY
284
113
14
-
4
6
3
3
6
1
9
-
-
2+7
-
2+1
-
2+8+4
1+1+3
1+4
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
14
5
5
-
4
6
3
3
6
1
9
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
GRAVITY GODS RA VITALITY
5
5
5
-
4
6
3
3
6
1
9

 

 

P
=
7
-
-
POWER
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
1
O
15
6
6
-
-
-
-
1
W
23
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
P
=
7
Q
5
POWER
77
32
55
-
-
-
-
-
-
7+7
3+2
5+5
P
=
7
Q
5
POWER
14
5
5
-
-
-
-
-
-
1+4
-
-
P
=
7
Q
5
POWER
5
5
5

 

 

P
=
7
-
-
POWER
-
-
-
-
-
-
-
1
P+O+W
54
18
9
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
P
=
7
Q
5
POWER
77
32
55
-
-
-
-
-
-
7+7
3+2
5+5
P
=
7
Q
5
POWER
14
5
5
-
-
-
-
-
-
1+4
-
-
P
=
7
Q
5
POWER
5
5
5

 

 

4
MIND
40
22
4
8
ENERGIES
82
46
1
12
First Total
122
68
5
1+2
Add to Reduce
1+2+2
6+8
-
3
Second Total
5
14
5
-
Reduce to Deduce
-
1+4
-
3
Essence of Number
5
5
5

 

 

3
GOD
26
17
8
8
ENERGIES
82
46
1
11
Add to Reduce
108
63
9
1+1
Reduce to Deduce
1+0+8
6+3
-
2
Essence of Number
9
9
9

 

 

13
INEXHAUSTIBLE
149
59
5
4
MIND
40
22
4
17
First Total
189
81
9
1+7
Add to Reduce
1+8+9
8+1
-
8
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
8
Essence of Number
9
9
9

 

 

4
GODS
45
18
9
13
INEXHAUSTIBLE
149
59
5
4
MIND
40
22
4
21
First Total
234
99
18
2+1
Add to Reduce
2+3+4
9+9
1+8
3
Second Total
9
18
9
-
Reduce to Deduce
-
1+8
-
3
Essence of Number
9
9
9

 

 

 

THE SCULPTURE OF VIBRATIONS 1971

 

 

 
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