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A

MAZE

IN

ZAZAZA ENTER AZAZAZ

AZAZAZAZAZAZAZZAZAZAZAZAZAZA

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

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WORK DAYS OF GOD

Herbert W Morris D.D.circa 1883

Page 22

"As all the words in the English language are composed out of the twenty-six letters of the alphabet,.."

 

 

LIGHT AND LIFE

Lars Olof Bjorn 1976

Page 197

"By writing the 26 letters of the alphabet in a certain order one may put down almost any message (this book 'is written with the same letters' as the Encyclopaedia Britannica and Winnie the Pooh, only the order of the letters differs). In the same way Nature is able to convey with her language how a cell and a whole organism is to be constructed and how it is to function. Nature has succeeded better than we humans; for the genetic code there is only one universal language which is the same in a man, a bean plant and a bacterium."

"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

A
B
C
D
E
F
G
H
I
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
J
K
L
M
N
O
P
Q
R
10
11
12
13
14
15
16
17
18
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
S
T
U
V
W
X
Y
Z
I
19
20
21
22
23
24
25
26
9
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
ME
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
I
ME
I
ME
I
ME
I
ME
I
9
18
9
18
9
18
9
18
9
=
1+8
=
1+8
=
1+8
=
1+8
=
=
9
=
9
=
9
=
9
=
I
ME
I
ME
I
ME
I
ME
1
9
9
9
9
9
9
9
9
9
I
ME
I
ME
I
ME
I
ME
1

 

 

"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
-
-
-
-
-
-
-
-
-
 1+0 1+1 1+2 1+3 1+4 1+5 1+6 1+7 1+8 1+9 2+0 2+1 2+2 2+3 2+4 2+5 2+6
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
 -
-
-
-
-
-
-
-
-
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

 

 

A

HISTORY OF GOD

Karen Armstrong 1993

The God of the Mystics

Page 250

"Perhaps the most famous of the early Jewish mystical texts is the fifth century Sefer Yezirah (The Book of Creation). There is no attempt to describe the creative process realistically; the account is unashamedly symbolic and shows God creating the world by means of language as though he were writing a book. But language has been entirely transformed and the message of creation is no longer clear. Each letter of the Hebrew alphabet is given a numerical value; by combining the letters with the sacred numbers, rearranging them in endless configurations, the mystic weaned his mind away from the normal connotations of words."

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
18
First Total
189
90
18
1+8
Add to Reduce
1+8+9
9+0
1+8
9
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
9
Essence of Number
9
9
9

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE

THE

ZED ALIZ ZED

IN

SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Cycles and Patterns

Page 165

Patterns

"The essence of mathematics is to look for patterns.

Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.

These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!

Searching out patterns is a pure delight.

Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.

And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."

 

 

FINGERPRINTS OF THE GODS

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

"It is understandable that a huge range of myths from all over the ancient world should describe geological catastrophes in graphic detail. Mankind survived the horror of the last Ice Age, and the most plausible source for our enduring traditions of flooding and freezing, massive volcanism and devastating earthquakes is in the tumultuous upheavals unleashed during the great meltdown of 15,000 to 8000 BC. The final retreat of the ice sheets, and the consequent 300-400 foot rise in global sea levels, took place only a few thousand years before the beginning of the historical period. It is therefore not surprising that all our early civilizations should have retained vivid memories of the vast cataclysms that had terrified their forefathers.
Much harder to explain is the peculiar but distinctive way the myths of cataclysm seem to bear the intelligent imprint of a guiding hand.l Indeed the degree of convergence between such ancient stories is frequently remarkable enough to raise the suspicion that they must all have been 'written' by the same 'author'.
Could that author have had anything to do with the wondrous deity, or superhuman, spoken of in so many of the myths we have reviewed, who appears immediately after the world has been shattered by a horrifying geological catastrophe and brings comfort and the gifts of civilization to the shocked and demoralized survivors?
White and bearded, Osiris is the Egyptian manifestation of this / Page 286 / universal figure, and it may not be an accident that one of the first acts he is remembered for in myth is the abolition of cannibalism among the primitive inhabitants of the Nile Valley.2 Viracocha, in South America, was said to have begun his civilizing mission immediately after a great flood; Quetzalcoatl, the discoverer of maize, brought the benefits of crops, mathematics, astronomy and a refined culture to Mexico after the Fourth Sun had been overwhelmed by a destroying deluge.
Could these strange myths contain a record of encounters between scattered palaeolithic tribes which survived the last Ice Age and an as yet unidentified high civilization which passed through the same epoch?
And could the myths be attempts to communicate?

A message in the bottle of time"

'Of all the other stupendous inventions,' Galileo once remarked,

what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very distant either in time or place, speaking with those who are in the Indies, speaking to those who are not yet born, nor shall be this thousand or ten thousand years? And with no greater difficulty than the various arrangements of two dozen little signs on paper? Let this be the seal of all the admirable inventions of men.3

If the 'precessional message' identified by scholars like Santillana, von Dechend and Jane Sellers is indeed a deliberate attempt at communication by some lost civilization of antiquity, how come it wasn't just written down and left for us to find? Wouldn't that have been easier than encoding it in myths? Perhaps.
Nevertheless, suppose that whatever the message was written on got destroyed or worn away after many thousands of years? Or suppose that the language in which it was inscribed was later forgotten utterly (like the enigmatic Indus Valley script, which has been studied closely for more than half a century but has so far resisted all attempts at decoding)? It must be obvious that in such circumstances a written / Page 287 / legacy to the future would be of no value at all, because nobody would be able to make sense of it.
What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them - and the city of Teotihuacan may be the calling-card of a lost civilization written in the eternal language of mathematics.
Geodetic data, related to the exact positioning of fixed geographical points and to the shape and size of the earth, would also remain valid and recognizable for tens of thousands of years, and might be most conveniently expressed by means of cartography (or in the construction of giant geodetic monuments like the Great Pyramid of Egypt, as we shall see).
Another 'constant' in our solar system is the language of time: the great but regular intervals of time calibrated by the inch-worm creep of precessional motion. Now, or ten thousand years in the future, a message that prints out numbers like 72 or 2160 or 4320 or 25,920 should be instantly intelligible to any civilization that has evolved a modest talent for mathematics and the ability to detect and measure the almost imperceptible reverse wobble that the sun appears to make along the ecliptic against the background of the fixed stars..."

"What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them"

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

-
THE RAINBOW LIGHT
-
-
-
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

 

15
THE RAINBOW LIGHT
-
-
-
-
THE
33
15
6
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
-
L
12
3
3
-
I
9
9
9
-
G+H+T
35
17
8
15
THE RAINBOW LIGHT
171
81
54
1+5
-
1+7+1
8+1
5+4
6
THE RAINBOW LIGHT
9
9
9

 

 

THE LIGHT IS RISING RISING IS THE LIGHT

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
-
7
-
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
-
7
-
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
-
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
-
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
-
9
-
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
-
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
-
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
-
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

 

 

 

THE DEATH OF GODS IN ANCIENT EGYPT

Jane B. Sellars 1992

Page 204

"The overwhelming awe that accompanies the realization, of the measurable orderliness of the universe strikes modern man as well. Admiral Weiland E. Byrd, alone In the Antarctic for five months of polar darkness, wrote these phrases of intense feeling:

Here were the imponderable processes and forces of the cosmos, harmonious and soundless. Harmony, that was it! I could feel no doubt of oneness with the universe. The conviction came that the rhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there must be purpose in the whole and that man was part of that whole and not an accidental offshoot. It was a feeling that transcended reason; that went to the heart of man's despair and found it groundless. The universe was a cosmos, not a chaos; man was as rightfully a part of that cosmos as were the day and night.10

Returning to the account of the story of Osiris, son of Cronos god of' Measurable Time, Plutarch takes, pains to remind the reader of the original Egyptian year consisting of 360 days.

Phrases are used that prompt simple mental. calculations and an attention to numbers, for example, the 360-day year is described as being '12 months of 30 days each'. Then we are told that, Osiris leaves on a long journey, during which Seth, his evil brother, plots with 72 companions to slay Osiris: He also secretly obtained the measure of Osiris and made ready a chest in which to entrap him.

The, interesting thing about this part of the-account is that nowhere in the original texts of the Egyptians are we told that Seth, has 72 companions. We have already been encouraged to equate Osiris with the concept of measured time; his father being Cronos. It is also an observable fact that Cronos-Saturn has the longest sidereal period of the known planets at that time, an orbit. of 30 years. Saturn is absent from a specific constellation for that length of time.

A simple mathematical fact has been revealed to any that are even remotely sensitive to numbers: if you multiply 72 by 30, the years of Saturn's absence (and the mention of Osiris's absence prompts one to recall this other), the resulting product is 2,160: the number of years required, for one 30° shift, or a shift: through one complete sign of the zodiac. This number multplied by the /Page205 / 12 signs also gives 25,920. (And Plutarch has reminded us of 12)

If you multiply the unusual number 72 by 360, a number that Plutarch mentions several times, the product will be 25,920, again the number of years symbolizing the ultimate rebirth.

This 'Eternal Return' is the return of, say, Taurus to the position of marking the vernal equinox by 'riding in the solar bark with. Re' after having relinquished this honoured position to Aries, and subsequently to the to other zodiacal constellations.

Such a return after 25,920 years is indeed a revisit to a Golden Age, golden not only because of a remarkable symmetry In the heavens, but golden because it existed before the Egyptians experienced heaven's changeability.

But now to inform the reader of a fact he or she may already know. Hipparaus did: not really have the exact figures: he was a trifle off in his observations and calculations. In his published work, On the Displacement of the Solstitial and Equinoctial Signs, he gave figures of 45" to 46" a year, while the truer precessional lag along the ecliptic is about 50 seconds. The exact measurement for the lag, based on the correct annual lag of 50'274" is 1° in 71.6 years, or 360° in 25,776 years, only 144 years less than the figure of 25,920.

With Hipparchus's incorrect figures a 'Great Year' takes from 28,173.9 to 28,800 years, Incorrect by a difference of from 2,397.9 years to 3,024.

Since Nicholas Copernicus (AD 1473-1543) has always been credited with giving the correct numbers (although Arabic astronomer Nasir al-Din Tusi,11 born AD 1201, is known to have fixed the Precession at 50°), we may correctly ask, and with justifiable astonishment 'Just whose information was Plutarch transmitting'

AN IMPORTANT POSTSCRIPT

Of course, using our own notational system, all the important numbers have digits that reduce to that amazing number 9 a number that has always delighted budding mathematician.

Page 206

Somewhere along the way, according to Robert Graves, 9 became the number of lunar wisdom.12

This number is found often in the mythologies of the world. the Viking god Odin hung for nine days and nights on the World Tree in order to acquire the secret of the runes, those magic symbols out of which writing and numbers grew. Only a terrible sacrifice would give away this secret, which conveyed upon its owner power and dominion over all, so Odin hung from his neck those long 9 days and nights over the 'bottomless abyss'. In the tree were 9 worlds, and another god was said to have been born of 9 mothers.

Robert Graves, in his White Goddess, Is intrigued by the seemingly recurring quality of the number 72 in early myth and ritual. Graves tells his reader that 72 is always connected with the number 5, which reflects, among other things, the five Celtic dialects that he was investigating. Of course, 5 x 72= 360, 360 x 72= 25,920. Five is also the number of the planets known to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.

Graves suggests a religious mystery bound up with two ancient Celtic 'Tree Alphabets' or cipher alphabets, which as genuine articles of Druidism were orally preserved and transmitted for centuries. He argues convincingly that the ancient poetry of Europe was ultimately based on what its composers believed to be magical principles, the rudiments of which formed a close religious secret for centuries. In time these were-garbled, discredited and forgotten.

Among the many signs of the transmission of special numbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying is 72 and that this number is the multiple of 9, 'the number of lunar wisdom'. . . . he then mentions something about 'the seventy day season during which Venus moves successively from. maximum eastern elongation 'to inferior conjunction and maximum western elongation'.13

Page 207

"...Feniusa Farsa, Graves equates this hero with Dionysus Farsa has 72 assistants who helped him master the 72 languages created at the confusion of Babel, the tower of which is said to be built of 9 different materials

We are also reminded of the miraculous translation into Greek of the Five Books of Moses that was done by 72 scholars working for 72 days, Although the symbol for the Septuagint is LXX, legend, according to the fictional letter of Aristeas, records 72. The translation was done for Ptolemy Philadelphus (c.250 BC), by Hellenistic Jews, possibly from Alexandra.14

Graves did not know why this number was necessary, but he points out that he understands Frazer's Golden Bough to be a a book hinting that 'the secret involves the truth that the Christian dogma, and rituals, are the refinement of a great body of primitive beliefs, and that the only original element in Christianity- is the personality of Christ.15

Frances A. Yates, historian of Renaissance hermetisma tells, us the cabala had 72 angels through which the sephiroth (the powers of God) are believed to be approached, and further, she supplies the information that although the Cabala supplied a set of 48 conclusions purporting to confirm the Christian religion from the foundation of ancient wisdom, Pico Della Mirandola, a Renaissance magus, introduced instead 72, which were his 'own opinion' of the correct number. Yates writes, 'It is no accident there are seventy-two of Pico's Cabalist conclusions, for the conclusion shows that he knew something of the mystery of the Name of God with seventy-two letters.'16

In Hamlet's Mill de Santillarta adds the facts that 432,000 is the number of syllables in the Rig-Veda, which when multiplied by the soss (60) gives 25,920" (The reader is forgiven for a bit of laughter at this point)

Thee Bible has not escaped his pursuit. A prominent Assyriologist of the last century insisted that the total of the years recounted
mounted in Genesis for the lifetimes of patriarchs from the Flood also contained the needed secret numbers. (He showed that in the 1,656.years recounted in the Bible there are 86,400 7 day weeks, and dividing this number yields / Page 208 / 43,200.) In Indian yogic schools it is held that all living beings exhale and inhale 21,600 times a day, .multiply this by 2 and again we have.the necessary 432 digits.

Joseph Campbell discerns the secret in the date set for the coming of Patrick to Ireland. Myth-gives this date-as.- the interest-
ing number of AD.432.18

Whatever one may think-of some of these number coincidences, it becomes. difficult to escape the suspicion that many signs (number and otherwise) -indicate that early man observed the results.. of the movement of Precession . and that the-.transmission of this information was .considered of prime importance.

'With the awareness of the phenomenon, observers would certainly have tried for its measure, and such an endeavour would
have constituted the construction-of a 'Unified Field Theory' for nothing .less than Creation itself. Once determined, it would have been information worthy of secrecy and worthy of the passing on to future adepts.

But one last word about mankind's romance with number coincidences.The antagonist in John Updike's novel, Roger's Version, is a computer hacker, who, convinced.,that scientific evidence of God's existence is accumulating, endeavours to prove it by feeding -all the available scientific information. into a comuter. In his search for God 'breaking, through', he has become fascinated by certain numbers that have continually been cropping up. He explains them excitedly as 'the terms of Creation':

"...after a while I noticed that all over the sheet there seemed to hit these twenty-fours Jumping out at me. Two four; two,four.Planck time, for instance, divided by the radiation constant yields a figure near eight times ten again to the negative twenty-fourth, and the permittivity of free space, or electric constant, into the Bohr radiusekla almost exactly six times ten to the negative twenty-fourth. On positive side, the electromagnetic line-structure constant times Hubble radius - that is, the size of the universe as we now perceive it gives us something quite close to ten to the twenty-fourth, and the strong-force constant times the charge on the proton produces two point four times ten to the negative eighteenth, for another I began to circle twenty-four wherever it appeared on the Printout here' - he held it up. his piece of striped and striped wallpaper, decorated / Page 209 / with a number of scarlet circles - 'you can see it's more than random.'19
This inhabitant of the twentieth century is convinced that the striking occurrences of 2 and 4 reveal the sacred numbers by which God is speaking to us.

So much for any scorn directed to ancient man's fascination with number coincidences. That fascination is alive and well, Just a bit more incomprehensible"

 

 

3
THE
33
15
6
4
NINE
42
24
6
7
BILLION
73
37
1
5
NAMES
52
16
7
2
OF
21
12
3
3
GOD
26
17
8
24
-
247
121
31
2+4
-
2+4+7
1+2+1
3+1
6
-
13
4
4
-
-
1+3
-
-
6
-
4
4
4

 

 

OF TIME AND STARS

Arthur C. Clarke 1972

FOREWORD

"'Into the Comet' and 'The Nine Billion Names of God' both involve computers and the troubles they may cause us. While writing this preface, I had occasion to call upon my own HP 9100A computer, Hal Junior, to answer an interesting question. Looking at my records, I find that I have now written just about one hundred short stories. This volume contains eighteen of them: therefore, how many possible 18-story collections will I be able to put together? The answer ­as I am sure will be instantly obvious to you - is 100 x 99. . . x 84 x 83 divided by 18 x 17 x 16 ... x .2 x 1. This is an impressive number - Hal Junior tells me that it is approximately 20,772,733,124,605,000,000.

Page 15

The Nine Billion Names of God


'This is a slightly unusual request,' said Dr Wagner, with what he hoped was commendable restraint. 'As far as I know, it's the first time anyone's been asked to supply a Tibetan monastery with an Automatic Sequence Computer. I don't wish to be inquisitive, but I should hardly have thought that your - ah - establishment had much use for such a machine. Could you explain just what you intend to do with it?'
'Gladly,' replied the lama, readjusting his silk robes and carefully putting away the slide rule he had been using far currency conversions. 'Your Mark V Computer can carry out any routine mathematical operation involving up to ten digits. However, for our work we are interested in letters, not numbers. As we wish you to modify the output circuits, the machine will be printing words, not columns of figures.'
'I don't quite understand. . .'
'This is a project on which we have been working for the last three centuries - since the lamasery was founded, in fact. It is somewhat alien to your way of thought, so I hope you will listen with an open mind while I explain it.'
'Naturally.'
'It is really quite simple. We have been compiling a list which shall contain all the possible names of God.'
'I beg your pardon?'

Page16

'We have reason to believe,' continued the lama imperturbably, 'that all such names can be written with not more than nine letters in an alphabet we have devised.'
'And you have been doing this for three centuries?'
'Yes: we expected it would take us about fifteen thousand years to complete the task.'
'Oh,' Dr Wagner looked a little dazed. 'Now I see why you wanted to hire one of our machines. But what exactly is the purpose of this project?'
The lama hesitated for a fraction of a second, and Wagner wondered if he had offended him. If so, there was no trace of annoyance in the reply.
'Call it ritual, if you like, but it's a fundamental part of our belief. All the many names of the Supreme Being - God Jehova, Allah, and so on - they are only man-made labels. There is a philosophical problem of some difficulty here, which I do not propose to discuss, but somewhere among all the possible combinations of letters that can occur are what one may call the real names of God. By systematic permutation of letters, we have been trying to list them all.'
'I see. You've been starting at AAAAAAA . . . and working up to ZZZZZZZZ . . .'
'Exactly - though we use a special alphabet of our own. Modifying the electromatic typewriters to deal with this is, of course, trivial. A rather more interesting problem is that of devising suitable circuits to eliminate ridiculous combinations. For example, no letter must occur more than three times in succession.'
,'Three? Surely you mean two.'
'Three is correct: I am afraid it would take too long to explain why, even if you understood our language.' "

Page 68

Into the Comet


"Pickett's fingers danced over the beads, sliding them up and down the wires with lightning speed. There were twelve wires in all, so that the abacus could handle numbers up to 999,999,999,999 - or could be divided into separate sections where several independent calculations could be carried out simultaneously.
'374072,' said Pickett, after an incredibly brief interval of time. 'Now see how long you take to do it, with pencil and paper.'
There was a much longer delay before Martens, who like most mathematicians was poor at arithmetic, called out '375072'. A hasty check soon confirmed that Martens had taken at least three times as long as Pickett to arrive at the wrong answer.
The atronomer's face was a study in mingled chagrin, astonishment, and curiosity.
'Where did you learn that trick?' he asked. 'I thought those things could only add and subtract.'
'Well - multiplication's only repeated addition, isn't it? All I did was to add 856 seven times in the unit column, three times in the tens column, and four times in the hundreds column. You do the same thing when you use pencil and paper. Of course, there are some short cuts, but if you think I'm fast, you should have seen my granduncle. He used to work in a Yokohama bank, and you couldn't see his fingers / Page 69 / when he was going at speed"

 

 

GOD IS ALIVE
MAGIC IS AFOOT

words: Leonard Cohen music: Buffy Sainte-Marie

1

God is alive; Magic is afoot
God is alive; Magic is afoot
God is alive; Magic is afoot
Alive is afoot.....
Magic never died.

God never sickened;
many poor men lied
many sick men lied
Magic never weakened
Magic never hid
Magic always ruled
God is afoot
God never died.

God was ruler
though his funeral lengthened
Though his mourners thickened
Magic never fled
Though his shrouds were hoisted
the naked God did live
Though his words were twisted
the naked Magic thrived
Though his death was published
round and round the world
the heart did not believe

Many hurt men wondered
many struck men bled
Magic never faltered
Magic always led.
Many stones were rolled
but God would not lie down
Many wild men lied
many fat men listened
Though they offered stones
Magic still was fed
Though they locked their coffers
God was always served.

2

Magic is afoot. God rules.
Alive is afoot. Alive is in command.
Many weak men hungered
Many strong men thrived
Though they boasted solitude
God was at their side
Nor the dreamer in his cell
nor the captain on the hill
Magic is alive
Though his death was pardoned
round and round the world
the heart did not believe.

Though laws were carved in marble
they could not shelter men
Though altars built in parliaments
they could not order men
Police arrested Magic
and Magic went with them,
for Magic loves the hungry.

But Magic would not tarry
it moves from arm to arm
it would not stay with them
Magic is afoot
it cannot come to harm
it rests in an empty palm
it spawns in an empty mind
but Magic is no instrument
Magic is the end.

Many men drove Magic
but Magic stayed behind
Many strong men lied
they only passed through Magic
and out the other side
Many weak men lied
they came to God in secret
and though they left him nourished
they would not say who healed
Though mountains danced before them
they said that God was dead
Though his shrouds were hoisted
the naked God did live

3

This I mean to whisper to my mind
This I mean to laugh with in my mind
This I mean my mind to serve 'til
service is but Magic
moving through the world
and mind itself is Magic
coursing through the flesh
and flesh itself is Magic
dancing on a clock
and time itself the magic length of God.

 

 

I

THAT I THAT

I

AM

ISISISISISIS

MAGI THE MAGIC ISISIS MAGIC THE MAGI

 

 

AND WITH HAND I WAVE THE WAND

SPELL IT OUT

 

 

I

INCA

THESONOFTHESUN

INCA

INCANDESCENCE

AM

I

 

 

1
I
9
9
9
-
INCA
-
-
-
-
I
9
9
9
-
N
14
5
5
-
C
3
3
3
-
A
1
1
1
4
INCA
27
18
18
-
-
2+7
1+8
1+8
4
INCA
9
9
9

 

 

1
I
9
9
9
-
INCA
-
-
-
-
I
9
9
9
-
NCA
18
9
9
4
INCA
27
18
18
-
-
2+7
1+8
1+8
1
INCA
9
9
9

 

 

-
INCA
N
C
A
-
I
-
-
-
-
NCA
5
3
1
4
INCA
-
-
-

 

I

INCA

THE SON OF THE

SUN

 

-
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
9
14
-
-
+
=
23
2+3
=
5
=
5
-
-
9
5
-
-
+
=
14
1+4
=
5
=
5
-
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
-
-
3
1
+
=
14
1+4
=
5
=
5
-
-
-
-
3
1
+
=
23
2+3
=
5
=
5
-
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
9
14
3
1
+
=
27
2+7
=
9
=
9
-
-
9
5
3
1
+
=
18
1+8
=
9
=
9
-
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
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
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
27
5
I
N
C
A
-
-
18
-
-
4
-
18
2+7
-
-
5
3
1
-
-
1+8
-
-
-
-
1+8
9
5
I
N
C
A
-
-
9
-
-
4
-
9
-
-
9
5
3
1
-
-
-
-
-
-
-
-
9
5
I
N
C
A
-
-
9
-
-
4
-
9

 

 

5
I
N
C
A
-
-
-
-
-
-
-
-
-
9
14
-
-
+
=
23
2+3
=
5
=
5
-
9
5
-
-
+
=
14
1+4
=
5
=
5
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
-
3
1
+
=
14
1+4
=
5
=
5
-
-
-
3
1
+
=
23
2+3
=
5
=
5
5
I
N
C
A
-
-
-
-
-
-
-
-
-
9
14
3
1
+
=
27
2+7
=
9
=
9
-
9
5
3
1
+
=
18
1+8
=
9
=
9
5
I
N
C
A
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
9
-
-
-
-
-
9
occurs
x
1
=
9
5
I
N
C
A
-
-
18
-
-
4
-
18
-
-
5
3
1
-
-
1+8
-
-
-
-
1+8
5
I
N
C
A
-
-
9
-
-
4
-
9
-
9
5
3
1
-
-
-
-
-
-
-
-
5
I
N
C
A
-
-
9
-
-
4
-
9

 

 

FINGERPRINTS OF THE GODS

Graham Hancock 1995

Page 98

An artificial language

Another possible legacy of Tiahuanaco, and of the Viracochas, lay embedded in the language spoken by the local Aymara Indians — a language regarded by some specialists as the oldest in the world."
In the 1980s Ivan Guzman de Rojas, a Bolivian computer scientist, accidentally demonstrated that Aymara might be not only very ancient but, significantly, that it might be a `made-up' language — something deliberately and skilfully designed. Of particular note was the seemingly artificial character of its syntax, which was rigidly structured and unambiguous to an extent thought inconceivable in normal 'organic' speech.' This synthetic and highly organized structure meant that Aymara could easily be transformed into a computer algorithm to be used to translate one language into another 'The Aymara Algorithm is used as a bridge language. The language of an original document is translated into Aymara and then into any number of other languages.23


Was, it just coincidence that an apparently artificial language governed by a computer-friendly syntax should be spoken today in the environs of Tiahuanaco? Or could Aymara be a legacy of the high learning that legend attributed to the Viracochas? If so, what other Legacies might there be? What other incomplete fragments of an old and forgotten wisdom might be lying scattered around — fragments which had perhaps contributed to the richness and diversity of many of the cultures that had evolved in this region during the i 0,000 years before the conquest? Perhaps it was the possession of fragments like these that had made possible the drawing of the Nazca lines and enabled the predecessors of the Incas to build the `impossible' stone walls at Machu Picchu and Sacsayhuaman?

 

-
AYMARA
-
-
-
2
A+Y
26
8
8
4
M+A+R+A
33
15
6
6
AYMARA
59
23
14
-
-
5+9
2+3
1+4
6
AYMARA
14
5
5
-
-
1+4
-
-
6
AYMARA
5
5
5

 

 

-
AYMAR ARU
-
-
-
5
AYMAR
58
22
4
3
ARU
40
13
4
8
AYMAR ARU
98
35
8
-
-
9+8
3+5
-
8
AYMAR ARU
17
8
8
-
-
1+7
-
-
8
AYMAR ARU
8
8
8

 

 

10
TIAHUANACO
93
39
3

 

 

-
NAZCA
-
-
-
1
N
14
5
5
2
A+Z
27
9
9
2
CA
4
4
4
5
NAZCA
45
18
18
-
-
4+5
1+8
1+8
5
NAZCA
9
9
9

 

 

ADVENT 871 ADVENT

 

 

AYMARA, AY, MARA
AYMAR ARU, AYMAR, ARU
TIAHUANACO
NAZCA
THE, SETTING, SUN
I, EYES
I, HAVE
TWENTY, TWENTY, VISION
TWENTY TWENTY VISION
TWENTY TWENTY VISION
E,V,E,N
EV,E,N
E,VE,N
EV,EN
EVEN
ORIONIS, O, R, I, ON, I, S
THE, BLAZING, STAR
THE BLAZING STAR
THE BLAZING STAR
THE, SUMMER, SOLSTICE, IS
THIS, DAY
THAT, DAY
HAPPENING, TODAY, YESTERDAY, TOMORROW,
WHEN, NOW
IS, OSIRIS, OSIRIS, IS
IN, LEAGUE, WITH, THE, DEVIL
CAPITALISM, THE, POISONED, C HALICE
THE, PURSUIT, OF, THE, I, ME, FALSITY
INSTINCT
STIMULI, STIMULUS, STIMULATION,
STIMULATE, STIMULATES, STIMULATED
SENSORY
SENSE, SENSES, SENSATION, SENSORIA,
COMMON SENSE
STIMULATION
STIMULATION
THE, STIMULATION, OF, SENSATIONS
SEVEN, DEADLY, SINS
GOD, IS, ALIVE, MAGIC, IS, AFOOT
WELL, WELL, WELL, WHO'D, A, THOUGHT, IT
THE, PHAISTOS, DISC
MAGIC
MAGIC
SENECA
DUCUNT,VOLENTEM, FATA, NOLENTEM, TRAHUNT
THE, FATES, LEAD, HIM, WHO, WILL, HIM, WHO,
WONT, THEY, DRAG
GODS PLAY
GODS PLAY
GODS, PLAY
MUSIC
MUSIC
THE, MUSICAL, SCALE
SOUND
SOUND

 

 

3
THE
33
15
6
7
SETTING
94
31
4
3
SUN
54
9
9

 

 

1
I
9
9
9
4
EYES
54
18
9

 

 

1
I
9
9
9
4
HAVE
36
18
9

 

 

T
=
2
6
TWENTY
107
26
8
T
=
2
6
TWENTY
107
26
8
V
=
4
6
VISION
88
34
7
-
-
8
18
First Total
302
86
23
-
-
-
1+8
Add to Reduce
3+0+2
8+6
2+3
Q
-
8
9
Second Total
5
14
5
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
8
9
Essence of Number
5
5
5

 

 

18
TWENTY TWENTY VISION
302
77
5

 

 

-
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
-
-
-
9
1
9
6
5
+
=
31
3+1
=
4
-
4
-
4
-
-
-
-
-
14
-
-
-
-
-
-
14
-
-
-
-
9
19
9
15
14
+
=
85
8+5
=
13
1+3
4
4
4
-
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
2
5
5
-
2
7
-
2
5
5
-
2
7
-
4
-
-
-
-
-
+
=
46
4+6
=
10
1+0
1
-
1
-
-
20
23
5
-
20
25
-
20
23
5
-
20
25
-
22
-
-
-
-
-
+
=
208
2+0+8
=
10
1+0
1
-
1
-
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
20
23
5
14
20
25
-
20
23
5
14
20
25
-
22
9
19
9
15
14
+
=
302
3+0+2
=
5
-
5
-
5
-
-
2
5
5
5
2
7
-
2
5
5
5
2
7
-
4
9
1
9
6
5
+
=
77
7+7
=
14
1+4
5
-
5
-
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
2
-
-
-
2
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
4
=
8
-
8
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
-
5
5
5
-
-
-
-
5
5
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
7
=
35
3+5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
34
-
-
18
-
77
-
41
1+1
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
3+4
-
-
1+8
-
7+7
-
4+1
2
9
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
7
-
-
9
-
14
-
5
-
-
2
5
5
5
2
7
-
2
5
5
5
2
7
-
4
9
1
9
6
5
-
-
-
-
-
-
-
1+4
-
-
2
9
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
7
-
-
9
-
5
-
5

 

 

8
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
-
-
-
9
1
9
6
5
+
=
31
3+1
=
4
-
4
-
4
-
-
-
-
14
-
-
-
-
-
-
14
-
-
-
-
9
19
9
15
14
+
=
85
8+5
=
13
1+3
4
4
4
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
2
5
5
-
2
7
-
2
5
5
-
2
7
-
4
-
-
-
-
-
+
=
46
4+6
=
10
1+0
1
-
1
-
20
23
5
-
20
25
-
20
23
5
-
20
25
-
22
-
-
-
-
-
+
=
208
2+0+8
=
10
1+0
1
-
1
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
20
23
5
14
20
25
-
20
23
5
14
20
25
-
22
9
19
9
15
14
+
=
302
3+0+2
=
5
-
5
-
5
-
2
5
5
5
2
7
-
2
5
5
5
2
7
-
4
9
1
9
6
5
+
=
77
7+7
=
14
1+4
5
-
5
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
2
-
-
-
2
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
4
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
5
5
5
-
-
-
-
5
5
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
7
=
35
3+5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
-
6
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
18
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
34
-
-
18
-
77
-
41
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
 3+4
-
-
1+8
-
7+7
-
4+1
9
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
7
-
-
9
-
14
-
5
-
2
5
5
5
2
7
-
2
5
5
5
2
7
-
4
9
1
9
6
5
-
-
-
-
-
-
-
1+4
-
-
9
T
W
E
N
T
Y
-
T
W
E
N
T
Y
-
V
I
S
I
O
N
-
-
7
-
-
9
-
5
-
5

 

 

Z
E
R
O
-
O
N
E
-
T
W
O
-
H
R
E
E
-
O
U
R
-
I
V
E
-
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
8
-
-
6
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
-
1
9
6
-
1
-
-
-
5
-
-
9
-
8
-
-
5
9
5
-
26
-
-
15
-
15
14
-
-
-
-
15
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
-
19
9
24
-
19
-
-
-
14
-
-
9
-
8
-
-
14
9
14
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
5
9
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
-
-
-
-
-
-
5
4
5
-
-
5
-
7
-
2
-
-
-
-
5
-
5
18
-
-
-
-
5
-
20
23
-
-
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
-
-
-
-
-
-
5
22
5
-
-
5
-
7
-
20
-
-
-
-
5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
26
5
18
15
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
-
6
9
22
5
-
19
9
24
-
19
5
22
5
14
-
5
9
7
8
20
-
14
9
14
5
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
-
-
-
5
-
5
5
-
-
-
6
-
6-
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E

 

 

-
EVENS
-
-
-
1
E
5
5
5
1
V
22
4
4
1
E
5
5
5
1
N
14
5
5
1
S
19
10
1
5
EVENS
65
29
20
-
-
6+5
2+9
2+0
5
EVENS-
11
11
2
-
-
1+1
1+1
-
5
EVENS-
2
2
2

 

 

-
EVENS
-
-
-
1
E
5
5
5
2
V+S
41
14
5
1
E
5
5
5
1
N
14
5
5
5
EVENS
65
29
20
-
-
6+5
2+9
2+0
5
EVENS-
11
11
2
-
-
1+1
1+1
-
5
EVENS-
2
2
2

 

 

-
EVEN
-
-
-
1
E
5
5
5
2
V+E
27
9
9
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN-
10
10
10
-
-
1+0
1+0
1+0
4
EVEN-
1
1
1

 

 

-
EVEN
-
-
-
1
E
5
5
5
1
V
22
4
4
1
E
5
5
5
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN-
10
10
10
-
-
1+0
1+0
1+0
4
EVEN-
1
1
1

 

 

-
-
-
-
--
EVEN
--
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
V
22
4
4
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
E
=
5
-
4
EVEN
46
19
19
-
-
-
-
-
-
4+6
1+9
1+9
-
-
-
-
4
EVEN
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
-
-
-
-
4
EVEN
1
1
1

 

 

--
EVEN
--
-
-
2
E+V
27
9
9
1
E
5
5
5
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN
10
10
10
-
-
1+0
1+0
1+0
4
EVEN
1
1
1

 

 

-
EVEN
-
-
-
1
E
5
5
5
2
V+E
27
9
9
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN-
10
10
10
-
-
1+0
1+0
1+0
4
EVEN-
1
1
1

 

 

--
EVEN
--
-
-
2
EV
27
9
9
2
EN
19
10
1
4
EVEN
46
19
10
-
-
4+6
1+9
1+0
4
EVEN
10
10
1
-
-
1+0
1+0
-
4
EVEN
1
1
1

 

 

-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
--
-
-
5
+
=
5
-
=

5
=
5
=
5
-
-
-
-
-
14
+
=
14
1+4
=
5
1+2
5
=
5
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
-
5
4
5
-
+
=
14
1+4
=
5
=
5
=
5
-
-
5
22
5
-
+
=
32
3+2
=
5
=
5
=
5
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
-
5
22
5
14
+
=
46
4+6
=
10
1+0
1
=
1
-
-
5
4
5
5
+
=
19
1+9
=
10
1+0
1
=
1
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
5
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
--
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
36
4
E
V
E
N
-
-
9
-
-
4
-
19
-
10
3+6
-
5
-
5
5
-
-
-
-
-
-
-
1+9
-
1+0
9
4
E
V
E
N
-
-
9
-
-
4
-
10
-
1
-
-
5
4
5
5
-
-
-
-
-
-
-
1+0
-
-
9
4
E
V
E
N
-
-
9
-
-
4
-
1
-
1

 

 

4
E
V
E
N
-
-
-
-
--
-
--
-
-
-
--
-
-
5
+
=
5
-
=

5
=
5
=
5
-
-
-
-
14
+
=
14
1+4
=
5
1+2
5
=
5
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
5
4
5
-
+
=
14
1+4
=
5
=
5
=
5
`-
5
22
5
-
+
=
32
3+2
=
5
=
5
=
5
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
`-
5
22
5
14
+
=
46
4+6
=
10
1+0
1
=
1
-
5
4
5
5
+
=
19
1+9
=
10
1+0
1
=
1
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
5
5
-
-
5
occurs
x
3
=
15
1+5
6
4
E
V
E
N
-
-
9
-
-
4
-
19
-
10
-
5
-
5
5
-
-
-
-
-
-
-
1+9
-
1+0
4
E
V
E
N
-
-
9
-
-
4
-
10
-
1
-
5
4
5
5
-
-
-
-
-
-
-
1+0
-
-
4
E
V
E
N
-
-
9
-
-
4
-
1
-
1

 

 

THE KINGDOM OF EVEN

EVEN SO SO EVEN

SEVEN EVEN SEVEN

I

MIN

HEAVEN

 

 

O
=
6
3
ONE
34
16
7
T
=
2
3
TWO
58
13
4
T
=
2
5
THREE
56
29
2
F
=
6
4
FOUR
60
24
6
F
+
6
4
FIVE
42
24
6
S
=
1
3
SIX
52
16
7
S
=
1
5
SEVEN
65
20
2
E
=
5
5
EIGHT
49
31
4
N
=
5
4
NINE
42
24
6
-
-
39
36
-
458
197
44
-
-
3+9
3+6
-
4+5+8
1+9+7
4+4
-
-
12
9
-
17
17
8
-
-
1+2
-
-
-
-
-
-
-
3
9
-
8
8
8

 

 

YORKSHIRE POST

Yorkshire Sport

YS/93911 SUNDAY 22 JUNE 2008

Front Page

"Five alive !

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Page 32

5


To Sorcerers and Magicians number FIVE is the most powerful - five is the mark of the pentacle, a five pointed star drawn by extending the sides of a Pentagon. Five surely is in the possession of the occult. And the Pentagon is the geometric figure in which the golden ratio of classical art and architecture is found most.

 

 

THE

BALANCING

ONE TWO THREE FOUR

FIVE

NINE EIGHT SEVEN SIX

 

 

O
=
15
ONE
3
-
34
16
7
-
1
T
=
20
TWO
3
-
58
13
4
-
2
T
=
20
THREE
5
-
56
29
2
-
3
F
=
6
FOUR
4
-
60
24
6
-
4
-
-
61
Add
15
-
208
82
19
-
10
-
-
6+1
Reduce
-
-
2+0+8
8+2
1+9
-
1+0
-
-
7
Reduce
6
-
10
10
10
-
1
-
-
-
Deduce
-
-
1+0
1+0
1+0
-
-
-
-
7
Essence
6
-
1
1
1
-
1

 

 

N
=
14
NINE
4
-
42
24
6
-
9
E
=
5
EIGHT
5
-
49
31
4
-
8
S
=
19
SEVEN
5
-
65
20
2
-
7
S
=
19
SIX
3
-
52
16
7
-
6
-
-
57
Add
17
-
208
91
19
-
30
-
-
5+7
Reduce
1+7
-
2+0+8
9+1
1+9
-
3+0
-
-
12
Reduce
8
-
10
10
10
-
3
-
-
1+2
Deduce
-
-
1+0
1+0
1+0
-
-
-
-
3
Essence
8
-
1
1
1
-
3

 

 

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

 

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Reduce
10
10
10
-
8
Reduce
10
10
10
-
Deduce
1+0
1+0
1+0
-
-
Deduce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

 

1
3
ONE
34
16
7
2
3
TWO
58
13
4
3
5
THREE
56
29
2
4
4
FOUR
60
24
6
5
4
FIVE
42
24
6
6
3
SIX
52
16
7
7
5
SEVEN
65
20
2
8
5
EIGHT
49
31
4
9
4
NINE
42
24
6
45
36
Add
458
197
44
4+5
3+6
Reduce
4+5+8
1+9+7
4+4
9
9
Reduce
17
17
8
-
-
Deduce
1+7
1+7
-
9
9
Essence
8
8
8

 

 

0
-
ZERO
64
28
1
1
6
ONE
34
16
7
2
2
TWO
58
13
4
3
2
THREE
56
29
2
4
6
FOUR
60
24
6
5
6
FIVE
42
24
6
6
1
SIX
52
16
7
7
1
SEVEN
65
20
2
8
5
EIGHT
49
31
4
9
5
NINE
42
24
6
45
34
Add
522
225
45
4+5
3+4
Reduce
5+2+2
2+2+5
4+5
9
7
Deduce
9
9
9

 

 

-
ORIONIS
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
2
O+N
29
11
2
1
I
9
9
9
1
S
19
10
1
7
ORIONIS
-
-
-

 

 

T
=
2
3
THE
33
15
6
B
=
2
7
BLAZING
71
35
8
S
=
1
4
STAR
58
13
4
-
-
5
14
Add to Reduce
162
63
18
-
-
-
1+4
Reduce to Deduce
1+6+2
6+3
1+8
-
-
5
5
Essence of Number
9
9
9

 

 

14
THE BLAZING STAR
162
63
9

 

 

21-
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
8
9
5
-
-
1
-
-
-
+
=
31
3+1
=
4
-
4
-
4
-
-
-
8
-
-
-
-
-
26
9
14
-
-
19
-
-
-
+
=
76
7+6
=
13
1+3
4
-
4
-
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
2
3
1
-
-
-
7
-
-
2
1
9
+
=
32
3+2
=
5
-
5
-
5
-
-
20
-
5
-
2
12
1
-
-
-
7
-
-
20
1
18
+
=
86
8+6
=
14
1+4
5
-
5
-
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
2
12
1
26
9
14
7
-
19
20
1
18
+
=
162
1+6+2
=
9
-
9
-
9
-
-
2
8
5
-
2
3
1
8
9
5
7
-
1
2
1
9
+
=
63
6+3
=
9
-
9
-
9
-
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
1
-
-
-
1
occurs
x
3
=
3
-
3
-
``-
2
-
-
-`
2
-
-
-
-
-
-
-`
-
2
-
-
-
-
2
occurs
x
3
=
6
-
6
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
7
-
-
-
8
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
10
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
35
-
-
14
-
63
-
36
1+0
1+4
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
3+5
-
-
1+4
-
6+3
-
3+6
1
5
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
8
-
-
5
-
9
-
9
-
-
2
8
5
-
2
3
1
8
9
5
7
-
1
2
1
9
-
-
-
-
-
-
-
-
-
-
1
5
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
8
-
-
5
-
9
-
9

 

 

14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
-
8
9
5
-
-
1
-
-
-
+
=
31
3+1
=
4
-
4
-
4
-
-
8
-
-
-
-
-
26
9
14
-
-
19
-
-
-
+
=
76
7+6
=
13
1+3
4
-
4
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
2
3
1
-
-
-
7
-
-
2
1
9
+
=
32
3+2
=
5
-
5
-
5
-
20
-
5
-
2
12
1
-
-
-
7
-
-
20
1
18
+
=
86
8+6
=
14
1+4
5
-
5
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
--
-
-
-
-
-
20
8
5
-
2
12
1
26
9
14
7
-
19
20
1
18
+
=
162
1+6+2
=
9
-
9
-
9
-
2
8
5
-
2
3
1
8
9
5
7
-
1
2
1
9
+
=
63
6+3
=
9
-
9
-
9
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
1
-
-
-
1
occurs
x
3
=
3
-
3
``-
2
-
-
-`
2
-
-
-
-
-
-
-`
-
2
-
-
-
-
2
occurs
x
3
=
6
-
6
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
7
-
-
8
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
14
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
35
-
-
14
-
63
-
36
1+4
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
3+5
-
-
1+4
-
6+3
-
3+6
5
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
8
-
-
5
-
9
-
9
-
2
8
5
-
2
3
1
8
9
5
7
-
1
2
1
9
-
-
-
-
-
-
-
-
-
-
5
T
H
E
-
B
L
A
Z
I
N
G
-
S
T
A
R
-
-
8
-
-
5
-
9
-
9

 

 

3
THE
33
15
6
6
SUMMER
89
26
8
8
SOLSTICE
102
30
3
2
IS
28
10
1
19
Add to Reduce
252
81
18
10
Reduce to Deduce
2+5+2
8+1
1+8
1
Essence of Number
9
9
9

 

 

4
THIS
56
20
2
3
DAY
30
12
3

 

 

4
THAT
49
13
4
3
DAY
30
12
3

 

 

9
HAPPENING
90
54
9
5
TODAY
65
20
2
9
YESTERDAY
122
39
3
8
TOMORROW
137
47
2
4
WHEN
50
23
5
3
NOW
52
16
7

 

 

2
IS
28
10
1
6
OSIRIS
89
35
8
6
OSIRIS
89
35
8
2
IS
28
10
1
16
Add to Reduce
234
90
18
1+6
Reduce to Deduce
2+3+4
9+0
1+8
7
Essence of Number
9
9
9

 

 

2
IN
23
14
5
6
LEAGUE
51
24
6
4
WITH
60
24
6
3
THE
33
15
6
5
DEVIL
52
25
7
20
First Total
219
102
30
2+0
Add to Reduce
2+1+9
1+0+2
3+0
2
Second Total
12
3
3
-
Reduce to Deduce
1+2
-
-
2
Essence of Number
3
3
3

 

 

10
CAPITALISM
103
40
4
-
-
-
-
-
-
-
-
-
-
3
THE
33
15
6
8
POISONED
97
43
7
7
CHALICE
41
32
5
18
Add to Reduce
171
90
18
1+8
Reduce to Deduce
1+7+1
9+0
1+8
9
Essence of Number
9
9
9

 

 

3
THE
33
15
6
7
PURSUIT
124
34
7
2
OF
21
12
3
3
THE
33
15
6
1
I
9
9
9
2
ME
18
9
9
7
FALSITY
92
29
2

 

 

-
8
I
N
S
T
I
N
C
T
-
-
-
-
-
-
-
-
-
-
-
-
9
5
1
-
9
5
-
-
+
=
29
2+9
=
11
1+1
-
=
2
-
-
9
14
19
-
9
14
-
-
+
=
65
6+5
=
11
1+1
-
=
2
-
8
I
N
S
T
I
N
C
T
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
2
-
-
3
2
+
=
7
2+5
=
7
-
-
-
7
-
-
-
-
-
20
-
-
3
20
+
=
43
4+3
=
7
-
-
-
7
-
8
I
N
S
T
I
N
C
T
-
-
-
-
-
--
-
-
-
-
-
-
9
14
19
20
9
14
3
20
+
=
108
6+1
=
9
-
-
-
9
-
-
9
5
1
2
9
5
3
2
+
=
36
2+5
=
9
-
-
-
9
-
8
I
N
S
T
I
N
C
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
-
-
5
occurs
x
2
=
10
=
1
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
=
9
25
8
I
N
S
T
I
N
C
T
-
-
20
-
-
8
-
36
-
18
2+5
-
9
-
-
-
9
-
-
-
-
-
2+0
-
-
-
-
3+6
-
1+8
7
8
I
N
S
T
I
N
C
T
-
-
2
-
-
8
-
9
-
9
-
-
9
5
1
2
9
5
3
2
-
-
-
-
=
-
-
-
-
-
7
8
I
N
S
T
I
N
C
T
-
-
2
-
-
8
-
9
-
9

 

 

8
I
N
S
T
I
N
C
T
-
-
-
-
-
-
-
-
-
-
-
9
5
1
-
9
5
-
-
+
=
29
2+9
=
11
1+1
-
=
2
-
9
14
19
-
9
14
-
-
+
=
65
6+5
=
11
1+1
-
=
2
8
I
N
S
T
I
N
C
T
-
-
-
-
-
--
-
-
-
-
-
-
-
-
2
-
-
3
2
+
=
7
2+5
=
7
-
-
-
7
-
-
-
-
20
-
-
3
20
+
=
43
4+3
=
7
-
-
-
7
8
I
N
S
T
I
N
C
T
-
-
-
-
-
--
-
-
-
-
-
9
14
19
20
9
14
3
20
+
=
108
6+1
=
9
-
-
-
9
-
9
5
1
2
9
5
3
2
+
=
36
2+5
=
9
-
-
-
9
8
I
N
S
T
I
N
C
T
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
2
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
5
-
-
-
5
-
-
-
-
5
occurs
x
2
=
10
=
1
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
=
9
8
I
N
S
T
I
N
C
T
-
-
20
-
-
8
-
36
-
18
-
9
-
-
-
9
-
-
-
-
-
2+0
-
-
-
-
3+6
-
1+8
8
I
N
S
T
I
N
C
T
-
-
2
-
-
8
-
9
-
9
-
9
5
1
2
9
5
3
2
-
-
-
-
=
-
-
-
-
-
8
I
N
S
T
I
N
C
T
-
-
2
-
-
8
-
9
-
9

 

 

5
SENSE
62
17
8
6
SENSES
81
18
9
9
SENSATION
116
35
8
8
SENSORIA
100
37
1
7
SENSORY
115
34
7

 

 

-
SENSES
-
-
-
1
S
19
10
1
1
E
5
5
5
1
N
14
5
5
1
S
19
10
1
1
E
5
5
5
1
S
19
10
1
6
SENSES
81
45
18
-
-
8+1
4+5
1+8
6
SENSES-
9
9
9

 

 

-
6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
-
1
-
5
1
-
1
+
=
8
-
=
8
-
8
-
8
-
-
19
-
14
19
-
19
+
=
71
7+1
=
8
-
8
-
8
-
6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
5
-
+
=
10
1+0
=
1
-
1
-
1
-
-
-
5
-
-
5
-
+
=
10
1+0
=
1
-
1
-
1
-
6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
-
19
5
14
19
5
19
+
=
81
8+1
=
9
=
9
-
9
-
-
1
5
5
1
5
1
+
=
18
1+8
=
9
=
9
-
9
-
6
S
E
N
S
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
1
-
-
1
occurs
x
3
=
3
-
3
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
5
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
39
6
S
E
N
S
E
S
-
-
6
-
-
6
-
18
-
9
3+9
-
1
-
-
1
-
1
-
1
-
-
-
-
-
1+8
-
-
12
6
S
E
N
S
E
S
-
-
6
-
-
6
-
9
-
9
1+2
-
1
5
5
1
5
1
-
1
-
-
-
-
-
-
-
-
3
6
S
E
N
S
E
S
-
-
6
-
-
6
-
9
-
9

 

 

6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
1
-
5
1
-
1
+
=
8
-
=
8
-
8
-
8
-
19
-
14
19
-
19
+
=
71
7+1
=
8
-
8
-
8
6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
-
5
-
-
5
-
+
=
10
1+0
=
1
-
1
-
1
-
-
5
-
-
5
-
+
=
10
1+0
=
1
-
1
-
1
6
S
E
N
S
E
S
-
-
-
-
-
--
-
-
-
-
-
19
5
14
19
5
19
+
=
81
8+1
=
9
=
9
-
9
-
1
5
5
1
5
1
+
=
18
1+8
=
9
=
9
-
9
6
S
E
N
S
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
1
-
-
1
occurs
x
3
=
3
-
3
-
-
5
5
-
5
-
-
-
5
occurs
x
3
=
15
1+5
6
6
S
E
N
S
E
S
-
-
6
-
-
6
-
18
-
9
-
1
-
-
1
-
1
-
1
-
-
-
-
-
1+8
-
-
6
S
E
N
S
E
S
-
-
6
-
-
6
-
9
-
9
-
1
5
5
1
5
1
-
1
-
-
-
-
-
-
-
-
6
S
E
N
S
E
S
-
-
6
-
-
6
-
9
-
9

 

 

6
COMMON
73
28
1
5
SENSE
62
17
8
11
Add to Reduce
135
45
9
1+1
Reduce to Deduce
1+3+5
4+5
-
2
Essence of Number
9
9
9

 

 

-
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
-
6
5
-
1
-
5
1
-
+
=
24
2+4
=
6
-
6
-
6
-
-
-
15
-
-
15
14
-
19
-
14
19
-
+
=
96
9+6
=
15
1+5
6
-
6
-
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
-
3
-
4
4
-
-
-
-
5
-
-
5
+
=
21
2+1
=
3
-
3
-
3
-
-
3
-
13
13
-
-
-
-
5
-
-
5
+
=
39
3+9
=
12
1+2
3
-
3
-
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
-
3
15
13
13
15
14
-
19
5
14
19
5
+
=
135
1+3+5
=
9
=
9
-
9
-
-
3
6
4
4
6
5
-
1
5
5
1
5
+
=
45
4+5
=
9
=
9
-
9
-
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
-
2
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
-
4
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
-
8
-
-
-
-
-
-
-
5
-
-
5
5
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
6
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
26
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
19
-
-
11
-
45
-
18
2+6
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1+9
-
-
1+1
-
4+5
-
1+8
8
2
C
O
M
M
O
N
-
S
E
N
S
E
-
-
10
-
-
2
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1+0
-
-
-
-
-
-
-
8
2
C
O
M
M
O
N
-
S
E
N
S
E
-
-
1
-
-
2
-
9
-
9

 

 

1
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
6
5
-
1
-
5
1
-
+
=
24
2+4
=
6
-
6
-
6
-
-
15
-
-
15
14
-
19
-
14
19
-
+
=
96
9+6
=
15
1+5
6
-
6
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
3
-
4
4
-
-
-
-
5
-
-
5
+
=
21
2+1
=
3
-
3
-
3
-
3
-
13
13
-
-
-
-
5
-
-
5
+
=
39
3+9
=
12
1+2
3
-
3
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
--
-
-
-
-
-
3
15
13
13
15
14
-
19
5
14
19
5
+
=
135
1+3+5
=
9
=
9
-
9
-
3
6
4
4
6
5
-
1
5
5
1
5
+
=
45
4+5
=
9
=
9
-
9
11
C
O
M
M
O
N
-
S
E
N
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
-
2
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
4
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
-
8
-
-
-
-
-
-
5
-
-
5
5
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
6
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
1
C
O
M
M
O
N
-
S
E
N
S
E
-
-
19
-
-
11
-
45
-
18
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1+9
-
-
1+1
-
4+5
-
1+8
2
C
O
M
M
O
N
-
S
E
N
S
E
-
-
10
-
-
2
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1+0
-
-
-
-
-
-
-
2
C
O
M
M
O
N
-
S
E
N
S
E
-
-
1
-
-
2
-
9
-
9

 

 

7
STIMULI
103
31
4
8
STIMULUS
134
26
8
11
STIMULATION
153
45
9
9
STIMULATE
120
30
3
10
STIMULATES
139
31
4
10
STIMULATED
124
34
7

 

 

11
STIMULATION
153
45
9

 

 

-
11
S
T
I
M
U
L
A
T
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
1
-
9
-
-
-
-
-
9
6
5
+
=
30
3+0
=
3
-
3
-
3
-`
-
19
-
9
-
-
-
-
-
9
15
14
+
=
66
6+6
=
12
1+2
3
-
3
-
11
S
T
I
M
U
L
A
T
I
O
N
-
-
--
-
-
-
-
-
-
-
-
-
-
2
-
4
3
3
1
2
-
-
-
+
=
15
1+5
=
6
-
6
-
6
-
-
-
20
-
13
21
12
1
20
-
-
-
+
=
87
8+7
=
15
1+5
6
-
6
-
11
S
T
I
M
U
L
A
T
I
O
N
-
-
--
-
-
-
-
-
-
-
-
-
19
20
9
13
21
12
1
20
9
15
14
+
=
153
1+5+3
=
9
-
9
-
9
-
-
1
2
9
4
3
3
1
2
9
6
5
+
=
45
4+5
=
9
-
9
-
9
-
11
S
T
I
M
U
L
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
-
2
-
-
--
2
-
-
-
-
--
2
-
-
-
--
--
2
occurs
x
2
=
4
-
4
-
-
--
-
-
-
3
3
--
-
-
-
-
--
--
3
occurs
x
2
=
6
-
6
-
-
--
-
-
4
-
-
--
-
-
-
-
--
--
4
occurs
x
1
=
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
5
-
-
--
-
-
-
-
-
--
-
-
6
-
--
--
6
occurs
x
1
=
6
-
6
7
-
--
-
-
-
-
-
--
-
-
-
-
--
--
7
--
--
--
--
--
--
--
8
-
--
-
-
-
-
-
--
-
-
-
-
--
--
8
--
--
--
--
--
--
--
-
-
-
-
9
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
15
11
S
T
I
M
U
L
A
T
I
O
N
-
-
30
-
-
11
-
45
-
36
1+5
1+1
-
-
9
-
-
-
-
-
9
-
-
-
-
3+0
-
-
1+1
-
4+5
-
3+6
6
2
S
T
I
M
U
L
A
T
I
O
N
-
-
3
-
-
2
-
9
-
9
-
-
1
2
9
4
3
3
1
2
9
6
5
-
-
-
-
-
-
-
-
-
-
6
2
S
T
I
M
U
L
A
T
I
O
N
-
-
3
-
-
2
-
9
-
9

 

 

11
S
T
I
M
U
L
A
T
I
O
N
-
-
-
-
-
--
-
-
-
-
-
1
-
9
-
-
-
-
-
9
6
5
+
=
30
3+0
=
3
-
3
-
3
-
19
-
9
-
-
-
-
-
9
15
14
+
=
66
6+6
=
12
1+2
3
-
3
11
S
T
I
M
U
L
A
T
I
O
N
-
-
--
-
-
-
-
-
-
-
-
-
2
-
4
3
3
1
2
-
-
-
+
=
15
1+5
=
6
-
6
-
6
-
-
20
-
13
21
12
1
20
-
-
-
+
=
87
8+7
=
15
1+5
6
-
6
11
S
T
I
M
U
L
A
T
I
O
N
-
-
--
-
-
-
-
-
-
-
-
19
20
9
13
21
12
1
20
9
15
14
+
=
153
1+5+3
=
9
-
9
-
9
-
1
2
9
4
3
3
1
2
9
6
5
+
=
45
4+5
=
9
-
9
-
9
11
S
T
I
M
U
L
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
-
2
-
--
2
-
-
-
-
--
2
-
-
-
--
--
2
occurs
x
2
=
4
-
4
-
--
-
-
-
3
3
--
-
-
-
-
--
--
3
occurs
x
2
=
6
-
6
-
--
-
-
4
-
-
--
-
-
-
-
--
--
4
occurs
x
1
=
4
-
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
5
-
--
-
-
-
-
-
--
-
-
6
-
--
--
6
occurs
x
1
=
6
-
6
-
-
-
9
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
S
T
I
M
U
L
A
T
I
O
N
-
-
30
-
-
11
-
45
-
36
1+1
-
-
9
-
-
-
-
-
9
-
-
-
-
3+0
-
-
1+1
-
4+5
-
3+6
2
S
T
I
M
U
L
A
T
I
O
N
-
-
3
-
-
2
-
9
-
9
-
1
2
9
4
3
3
1
2
9
6
5
-
-
-
-
-
-
-
-
-
-
2
S
T
I
M
U
L
A
T
I
O
N
-
-
3
-
-
2
-
9
-
9

 

 

3
THE
33
15
6
11
STIMULATION
153
45
9
2
OF
21
12
3
10
SENSATIONS
135
36
9

 

 

-
SENSATIONS
-
-
-
6
S+E+N+S+A+T
78
15
6
1
I
9
9
9
3
O+N+S
48
12
3
10
SENSATIONS
135
36
18
1+0
-
1+3+5
3+6
1+8
1
SENSATIONS
9
9
9

 

 

-
10
S
E
N
S
A
T
I
O
N
S
-
-
-
-
-
--
-
-
-
-
-
-
1
-
5
1
-
-
9
6
5
1
+
=
28
2+8
=
10
1+0
1
-
1
-`
-
19
-
14
19
-
-
9
15
14
19
+
=
109
1+0+9
=
10
1+0
1
-
1
-
10
S
E
N
S
A
T
I
O
N
S
-
-
--
-
-
-
-
-
-
-
-
-
-
5
-
-
1
2
-
-
-
-
+
=
8
-
=
8
-
8
-
8
-
-
-
5
-
-
1
20
-
-
-
-
+
=
26
2+6
=
8
-
8
-
8
-
10
S
E
N
S
A
T
I
O
N
S
-
-
--
-
-
-
-
-
-
-
-
-
19
5
14
19
1
20
9
15
14
19
+
=
135
1+3+5
=
9
-
9
-
9
-
-
1
5
5
1
1
2
9
6
5
1
+
=
36
3+6
=
9
-
9
-
9
-
10
S
E
N
S
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
1
-
-
-
-
1
-
-
1
occurs
x
4
=
4
-
4
-
-
--
--
-
--
--
2
-
-
-
--
--
--
2
occurs
x
1
=
2
-
2
3
-
--
--
-
--
--
-
-
-
-
--
--
--
3
--
--
--
--
--
--
--
4
-
--
--
-
--
--
-
-
-
-
--
--
--
4
--
--
--
--
--
-
--
-
-
-
5
5
-
-
-
-
-
5
-
-
-
5
occurs
x
3
=
15
1+0
6
-
-
--
--
-
--
--
-
-
6
-
--
--
--
6
occurs
x
1
=
6
-
6
7
-
--
--
-
--
--
-
-
-
-
--
--
--
7
--
--
--
--
--
--
--
8
-
--
--
-
--
--
-
-
-
-
--
--
--
8
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
-
9
22
10
S
E
N
S
A
T
I
O
N
S
-
-
23
-
-
10
-
36
-
27
2+2
1+0
-
-
-
-
-
-
9
-
-
-
-
-
2+3
-
-
1+0
-
3+6
-
2+7
4
1
S
E
N
S
A
T
I
O
N
S
-
-
5
-
-
1
-
9
-
9
-
-
1
5
5
1
1
2
9
6
5
1
-
-
-
-
-
-
-
-
-
-
4
1
S
E
N
S
A
T
I
O
N
S
-
-
5
-
-
1
-
9
-
9

 

 

10
S
E
N
S
A
T
I
O
N
S
-
-
-
-
-
--
-
-
-
-
-
1
-
5
1
-
-
9
6
5
1
+
=
28
2+8
=
10
1+0
1
-
1
-
19
-
14
19
-
-
9
15
14
19
+
=
109
1+0+9
=
10
1+0
1
-
1
10
S
E
N
S
A
T
I
O
N
S
-
-
--
-
-
-
-
-
-
-
-
-
5
-
-
1
2
-
-
-
-
+
=
8
-
=
8
-
8
-
8
-
-
5
-
-
1
20
-
-
-
-
+
=
26
2+6
=
8
-
8
-
8
10
S
E
N
S
A
T
I
O
N
S
-
-
--
-
-
-
-
-
-
-
-
19
5
14
19
1
20
9
15
14
19
+
=
135
1+3+5
=
9
-
9
-
9
-
1
5
5
1
1
2
9
6
5
1
+
=
36
3+6
=
9
-
9
-
9
10
S
E
N
S
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
1
-
--
-
-
1
-
-
1
occurs
x
4
=
4
-
4
-
--
--
-
--
--
2
-
-
-
--
--
--
2
occurs
x
1
=
2
-
2
-
-
5
5
-
-
-
--
-
5
-
-
-
5
occurs
x
3
=
15
1+0
6
-
--
--
-
--
--
-
-
6
-
--
--
--
6
occurs
x
1
=
6
-
6
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
-
9
10
S
E
N
S
A
T
I
O
N
S
-
-
23
-
-
10
-
36
-
27
1+0
-
-
-
-
-
-
9
-
-
-
-
-
2+3
-
-
1+0
-
3+6
-
2+7
1
S
E
N
S
A
T
I
O
N
S
-
-
5
-
-
1
-
9
-
9
-
1
5
5
1
1
2
9
6
5
1
-
-
-
-
-
-
-
-
-
-
1
S
E
N
S
A
T
I
O
N
S
-
-
5
-
-
1
-
9
-
9

 

 

S
=
1
5
SEVEN
65
20
2
D
=
4
6
DEADLY
51
24
6
S
=
1
4
SINS
61
16
7
-
-
6
15
First Total
177
60
15
-
-
-
1+5
Add to Reduce
1+7+7
6+0
1+5
Q
-
6
6
Second Total
15
6
6
-
-
-
-
Reduce to Deduce
1+5
-
-
-
-
6
6
Essence of Number
6
6
6

 

 

G
=
7
3
GOD
26
17
8
I
=
9
2
IS
28
10
1
A
=
1
5
ALIVE
49
22
4
M
=
4
5
MAGIC
33
24
6
I
=
9
2
IS
28
10
1
A
=
1
5
AFOOT
57
21
3
-
-
31
22
Add to Reduce
221
104
23
-
-
3+1
2+2
Reduce to Deduce
2+2+1
1+0+4
2+3
-
-
4
4
Essence of Number
5
5
5

 

 

4
WELL
52
16
7
4
WELL
52
16
7
4
WELL
52
16
7
4
WHO'D
50
23
5
1
A
1
1
1
7
THOUGHT
99
36
9
2
IT
29
11
2

 

 

3
THE
33
15
6
8
PHAISTOS
107
35
8
4
DISC
35
17
8
15
First Total
175
67
22
1+5
Add to Reduce
1+7+5
6+7
2+2
6
Second Total
13
13
4
-
Reduce to Deduce
1+3
1+3
-
6
Essence of Number
4
4
4

 

 

5
MAGIC
33
24
6

 

 

-
5
M
A
G
I
C
-
-
-
-
-
--
-
-
-
`-
-
-
-
9
-
+
=
9
-
=
9
=
9
-
5
M
A
G
I
C
-
-
-
-
-
--
-
-
--
-
4
1
7
-
3
+
=
15
1+5
=
6
=
6
--
`-
13
1
7
-
12
+
=
24
2+4
=
6
=
6
-
5
M
A
G
I
C
-
-
-
-
-
--
-
-
-
`-
13
1
7
9
3
+
=
33
3+3
=
6
-
6
-
-
4
1
7
9
3
+
=
24
2+4
=
6
=
6
-
5
M
A
G
I
C
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
8
--
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
21
5
M
A
G
I
C
-
-
24
-
-
5
-
24
2+1
-
-
-
-
9
-
-
-
2+4
-
-
-
-
2+4
3
5
M
A
G
I
C
-
-
6
-
-
5
-
6
-
-
4
1
7
9
3
-
-
-
-
-
-
-
-
3
5
M
A
G
I
C
-
-
6
-
-
5
-
6

 

 

5
M
A
G
I
C
-
-
-
-
-
--
-
-
`-
-
-
-
9
-
+
=
9
-
=
9
=
9
5
M
A
G
I
C
-
-
-
-
-
--
-
-
-
4
1
7
-
3
+
=
15
1+5
=
6
=
6
`-
13
1
7
-
12
+
=
24
2+4
=
6
=
6
5
M
A
G
I
C
-
-
-
-
-
--
-
-
`-
13
1
7
9
3
+
=
33
3+3
=
6
-
6
-
4
1
7
9
3
+
=
24
2+4
=
6
=
6
5
M
A
G
I
C
T
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
5
M
A
G
I
C
-
-
24
-
-
5
-
24
-
-
-
-
9
-
-
-
2+4
-
-
-
-
2+4
5
M
A
G
I
C
-
-
6
-
-
5
-
6
-
4
1
7
9
3
-
-
-
-
-
-
-
-
5
M
A
G
I
C
-
-
6
-
-
5
-
6

 

 

6
SENECA
47
20
2

 

 

D
=
4
6
DUCUNT
83
20
2
V
=
4
8
VOLENTEM
106
34
7
F
=
6
4
FATA
28
10
1
N
=
5
8
NOLENTEM
98
35
8
T
=
2
7
TRAHUNT
102
30
3
-
-
21
33
First Total
417
129
21
-
-
2+1
3+3
Add to Reduce
4+1+7
1+2+9
2+1
Q
-
3
6
Second Total
12
12
3
-
-
-
-
Reduce to Deduce
1+2
1+2
-
-
-
3
6
Essence of Number
3
3
3

 

 

T
=
2
3
THE
33
15
6
F
=
6
5
FATES
51
15
6
L
=
3
4
LEAD
22
13
4
H
=
8
3
HIM
30
21
3
W
=
5
3
WHO
46
19
1
W
=
5
4
WILL
56
20
2
H
=
8
3
HIM
30
21
3
W
=
5
3
WHO
46
19
1
W
=
5
4
WONT
72
18
9
T
=
2
4
THEY
58
22
4
D
=
4
4
DRAG
30
21
3
-
-
53
40
First Total
474
204
42
-
-
5+3
4+0
Add to Reduce
4+7+4
2+0+4
4+2
Q
-
8
4
Second Total
15
6
6
-
-
-
-
Reduce to Deduce
1+5
-
-
-
-
8
4
Essence of Number
6
6
6

 

 

D
=
4
6
DUCUNT
83
20
2
V
=
4
8
VOLENTEM
106
34
7
F
=
6
4
FATA
28
10
1
N
=
5
8
NOLENTEM
98
35
8
T
=
2
7
TRAHUNT
102
30
3
T
=
2
3
THE
33
15
6
F
=
6
5
FATES
51
15
6
L
=
3
4
LEAD
22
13
4
H
=
8
3
HIM
30
21
3
W
=
5
3
WHO
46
19
1
W
=
5
4
WILL
56
20
2
H
=
8
3
HIM
30
21
3
W
=
5
3
WHO
46
19
1
W
=
5
4
WONT
72
18
9
T
=
2
4
THEY
58
22
4
D
=
4
4
DRAG
30
21
3
-
-
74
73
First Total
891
333
63
-
-
7+4
7+3
Add to Reduce
8+9+1
3+3+3
6+3
Q
-
11
10
Second Total
18
9
9
-
-
1+1
1+0
Reduce to Deduce
1+8
-
-
-
-
2
2
Essence of Number
9
9
9

 

 

8
GODS PLAY
99
36
9

 

 

-
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
1
-
-
-
-
-
+
=
7
-
=
7
-
7
-
7
-
-
-
15
-
19
-
-
-
-
-
+
=
34
3+4
=
7
-
7
-
7
-
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
7
-
4
-
-
7
3
1
7
+
=
29
2+9
=
11
1+1
2
-
2
-
-
7
-
4
-
-
16
12
1
25
+
=
65
6+5
=
11
1+1
2
-
2
-
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
7
15
4
19
-
16
12
1
25
+
=
99
9+9
=
18
1+8
9
-
9
-
-
7
6
4
1
-
7
3
1
7
+
=
36
3+6
=
9
-
9
-
9
-
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
occurs
x
2
=
2
-
2
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
4
5
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
--
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
-
-
7
-
-
-
-
7
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
24
8
G
O
D
S
-
P
L
A
Y
-
-
21
-
-
8
-
36
-
18
2+4
-
7
6
4
1
-
7
3
1
7
-
-
2+1
-
-
-
-
3+6
-
1+8
6
8
G
O
D
S
-
P
L
A
Y
-
-
3
-
-
8
-
9
-
9

 

 

8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
6
-
1
-
-
-
-
-
+
=
7
-
=
7
-
7
-
7
-
-
15
-
19
-
-
-
-
-
+
=
34
3+4
=
7
-
7
-
7
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
7
-
4
-
-
7
3
1
7
+
=
29
2+9
=
11
1+1
2
-
2
-
7
-
4
-
-
16
12
1
25
+
=
65
6+5
=
11
1+1
2
-
2
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
--
-
-
-
-
-
7
15
4
19
-
16
12
1
25
+
=
99
9+9
=
18
1+8
9
-
9
-
7
6
4
1
-
7
3
1
7
+
=
36
3+6
=
9
-
9
-
9
8
G
O
D
S
-
P
L
A
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
occurs
x
2
=
2
-
2
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
-
7
-
-
-
-
7
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
8
G
O
D
S
-
P
L
A
Y
-
-
21
-
-
8
-
36
-
18
-
7
6
4
1
-
7
3
1
7
-
-
2+1
-
-
-
-
3+6
-
1+8
8
G
O
D
S
-
P
L
A
Y
-
-
3
-
-
8
-
9
-
9

 

 

4
GODS
45
18
9
4
PLAY
54
18
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

 

 

-
5
S
M
E
L
L
-
-
-
-
-
--
-
-
--
-
1
-
-
-
-
+
=
1
1
=
-
-
-
19
-
-
-
-
+
=
19
1+9
=
10
1+0
1
-
5
S
M
E
L
L
-
-
-
-
-
--
-
-
-
-
-
4
5
3
3
+
=
15
1+5
=
6
=
6
-
-
-
13
5
12
12
+
=
42
4+2
=
6
=
6
-
5
S
M
E
L
L
-
-
-
-
-
--
-
-
-
-
19
13
5
12
12
+
=
61
6+1
=
7
=
7
-
-
1
4
5
3
3
+
=
16
1+6
=
7
=
7
-
5
S
M
E
L
L
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
7
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
32
5
S
M
E
L
L
-
-
13
-
-
5
-
16
3+2
-
-
-
-
-
-
-
-
1+3
-
-
-
-
1+6
5
5
S
M
E
L
L
-
-
4
-
-
5
-
7
-
-
1
4
5
3
3
-
-
-
-
-
-
-
-
5
5
S
M
E
L
L
-
-
4
-
-
5
-
7

 

 
S
M
E
L
L
-
-
-
-
-
--
-
-
-
1
-
-
-
-
+
=
1
1
=
-
-
19
-
-
-
-
+
=
19
1+9
=
10
1+0
1
5
S
M
E
L
L
-
-
-
-
-
--
-
-
-
-
4
5
3
3
+
=
15
1+5
=
6
=
6
-
-
13
5
12
12
+
=
42
4+2
=
6
=
6
5
S
M
E
L
L
-
-
-
-
-
--
-
-
-
19
13
5
12
12
+
=
61
6+1
=
7
=
7
-
1
4
5
3
3
+
=
16
1+6
=
7
=
7
5
S
M
E
L
L
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
-
3
3
-
-
3
occurs
x
2
=
6
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
5
S
M
E
L
L
-
-
13
-
-
5
-
16
-
-
-
-
-
-
-
-
1+3
-
-
-
-
1+6
5
S
M
E
L
L
-
-
4
-
-
5
-
7
-
1
4
5
3
3
-
-
-
-
-
-
-
-
5
S
M
E
L
L
-
-
4
-
-
5
-
7

 
 
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