Wednesday, June 14, 2000

A Pi Friendly Gematria...

For help with your limited understanding of The Gematria...
Here's an Introuduction:
The Gematria, Cabbage Codes & The Screen Saver Universe

i was recently fooling around with a Calibrated Gematria
and was frustrated that it only allowed me to find
Finite Numerical Values for Carefully Constructed Words & Phrases...

So i set out to Create a New Calibrated Gematria that overcame this Limitation.

But First: A Bonus Feature: Pi Haiku!

Natural Numbers
Gently follow a straight path
Towards Infinity.

The tiny word 'pi'
Measures a circles spirit
Needs many rulers.

Stick a sharpened pin
Along The Great Number Line
Transcendental spot!

Very tiny ants
Holding hands along a line
Most all are crazy.

Gawd & The Numbers
Do they describe The Giant Elf,
Or are they The Elf?

Just dots, lines, circles...
Ideas floating over head
Become Awareness!

The Pi Friendly Gematria

A = 001 - - - J = 010 - - - S = 005
B = 002 - - - K = 006 - - - T = 0-2
C = 003 - - - L = 002 - - - U = 012
D = 002 - - - M = 0-9 - - - V = -19
E = 008 - - - N = 0-9 - - - W = 004
F = 005 - - - O = 000 - - - X = 000
G = 005 - - - P = 002 - - - Y = 007
H = 0-4 - - - Q = 000 - - - Z = 005
I = 001 - - - R = -13

With these Values in Place:
ONE = -1
TWO = 2
THREE = -3
FOUR = 4
FIVE = -5
SIX = 6
SEVEN = -7
EIGHT = 8
NINE = -9
ZERO = 0

As you can see, the Odd Numbers are Negative, While the Even Numbers are Positive.
This allows Numerical Targets to Extend themselves to Extreme Lengths, and retain,
at least in Theory, The Ability to match The Gematria Values of decidedly finite Alphabetic Words & Phrases...

Unfortunately; This 'Elegant' & 'Structured' Assignment allows the Negative Numbers to have a 5 Point gain for every Ten; Randomly Provided, Digits...
The Gematria Value of:
ONE, TWO, THREE, FOUR, FIVE, SIX, SEVEN, EIGHT, NINE, ZERO
is -5...!!!
So that for Every OneHundred Digits in Pi...
The Gematria Value should loose 50 points...!

But this isn't what happens...!!!

But first;
A few more Values:
MINUS = 0
POINT = -8
DECIMAL = 8
( ergo: ) DECIMAL POINT = 0
DOT = 0
Pi = 3
i seem to recall reading in a Trivia Book somewhere
that The State of Illinois
once introduced a State Law
Officially Designating Pi as value of Three...!!!

So--
If you're trying to find a Pi Sequence of Digits
that equals the Word "PI" ( = 3 )
Then you'd start summing the Values:
THREE DECIMAL POINT ONE FOUR ONE FIVE NINE TWO SIX FIVE THREE FIVE EIGHT NINE SEVEN NINE THREE TWO...
and so on...
For another 347 Digits and it will Sum to 3!
Which means that Pi is Even Digit Heavy...!!!
347 Digits should be around -173...!!!

Working with 468 digits of Pi;
There are 227 Odd digits; -1.5% less than expected
There are 46 Zeros; 0.17% more than expected
And 195 Even digits; Only 1.67% more than expected...!

The mean sum is -23.2;
The Maximum ongoing Sum is 39;
And The Minimum ongoing Sum is -115.

When you've added up another few digits to 396 places, it will equal 3 again...
Then at 401 digits... 3 again...!!!

Then it drops off very sharply... as it should...

Will it ever come back up to 3 again...???
They say that if you look at Pi hard enough,
you will find any sequence of numbers that you're looking for...
So how far into Pi would you have to look to find enough Even Numbers
to bring it back up to 3...
and 3 again,
and again...
Will it keep returning to 3 from it's natural Marina's abyss forever...???

Additionally: ( as a side note: )
If you replace Decimal Point with just 'Point' ( Value -8 )...
THREE POINT ONE FOUR ONE FIVE...
It will hit it's first 3 at 304 digits, then again at 317, 345 & 380.

Also:
If you use the word "Demarcate"... ( -1 )
THREE DEMARCATE ONE FOUR ONE FIVE...
It will hit 3 at 273 digits, then 377 & 395.

With "Fraction Mark"... ( -29 )
THREE FRACTION MARK ONE FOUR ONE FIVE...
It will hit 3 at 282.

With just "Mark"... ( -15 )
THREE MARK ONE FOUR ONE FIVE...
It will get to 3 at 295 digits.

i only entered Pi to 468 digits into my HP48 Calculator that did these searches...!

More Searches:
i also looked through The Golden Ratio, which is usually called Phi,
But occasionally called Tau...!!! ( ? )
So i've called 1.618033... : Phi
And .618033... : Tau
It seems to me that because The Golden Ratio is a Ratio,
It should be A Fraction between 0 & 1,
and Yet; It is invariably defined as 1.618...??? [ !!! ]

i also wanted to mention ( !!! ) that while i was working on this,
i thought i would look up Golden Ratio in my
New Franklin Electronic Dictionary
to see if it defined The Golden Ratio as Phi or Tau...???
AND IT DIDN'T HAVE IT...!!!
It didn't include 'Golden Ratio'...!!!
But--
It did include 'Golden Showers'...!!!
It also included F*ck, Sh*t, M*therF*cker, P*ss, A**hole, K*ke, N*gger,
And Caca... which it mentions was first introduced in the English language in 1879
and adds that it is considered [ Baby talk ]...!!!

Phi = -1 [ 1.680339887498... ]
Examined: 548 Digits
Odd Digits are Under Represented by -3.83%
Zeros are Over Represented by 0.38%
Even Digits are Over Represented by 3.47%!

Using ONE DECIMAL POINT SIX ONE EIGHT ZERO ...
The First Digit = -1 which is a match...!!!
Then the Next Match occurs at The 465th Digit...!

Using ONE POINT SIX ONE EIGHT ZERO ...
There are Matches at 176, 177 & 199.

Using ONE FRACTION MARK SIX ONE EIGHT ZERO ...
There are Matches at 142, 215, 216 239 & 399.

Using ONE MARK SIX ONE EIGHT ZERO ...
There are Matches at 46, 174, 184 & 198.

Using ONE DEMARCATE SIX ONE EIGHT ZERO ...
There are Matches at 15 & 476.

Tau = 11 [ .6180339874989... ]
Examined: 547 Digits
Odd Digits are Under Represented by -4%
Zeros are Over Represented by .37%
Even Digits are Over Represented by 3.47%!

Using DECIMAL POINT SIX ONE EIGHT ZERO ...
There are Matches at 11, 49 181 & 453 Digits.

Using POINT SIX ONE EIGHT ZERO ...
There are Matches at 51, 219, 231, 232 & 451.

Using FRACTION MARK SIX ONE EIGHT ZERO ...
There are Matches at 24, 66, 95, 101, 111, 122, 151, 155, 248, 265, 266, 271 & 298!

Using MARK SIX ONE EIGHT ZERO ...
There are Matches at 22, 57, 186 & 240.

Using DEMARCATE SIX ONE EIGHT ZERO ...
There are Matches at 171 & 466.

e = 8 [ 2.71828182845... ]
i'm not really sure what 'e' is...???
But it recieves alot of press, so i thought i would include it here...
It is the most Random number that i looked at...!!!


Examined: 547 Digits
Odd Digits are Over Represented by 1.1%
Zeros are UnderRepresented by -0.4%
Even Digits are Under Represented by -0.9%!

Mean Ongoing Sum is -230.6!
Maximum Ongoing Sum is 33, Minimum Ongoing Sum is -462!
When graphed;
It drops off just like The Pi Friendly Gematria predicts that it should...!!!

Using TWO DECIMAL POINT SEVEN ONE EIGHT TWO ...
There One Match at The 31st Digit.

Using TWO POINT SEVEN ONE EIGHT TWO ...
There are NO Matches!

Using TWO FRACTION MARK SEVEN ONE EIGHT TWO ...
There are NO Matches!

Using TWO MARK SEVEN ONE EIGHT TWO ...
There is One Match at The 15th Digit.

Using TWO DEMARCATE SEVEN ONE EIGHT TWO ...
There is One Match at The 20th Digit.

As a side, side note:
Here are some additional Gematria Sums...

Numbers = -4
Numbers = Never Full
Numbers = Super Nothing
Numbers = Gawd + Void
Numbers = Imagination Journey
Numbers = Algebraic + Transcendental
Numbers = Illumination + Darkness
Numbers = Irrational Escape
Numbers = Vain Genius
NonAlgebraic = -8
NonAlgegraic = Escape Incarnation
NonAlgegraic = Irrational Edge
NonAlgegraic = Never Impossible
NonAlgegraic = Hopeful Terror
NonAlgegraic = Visionary Fascist
NonAlgegraic = Theology Incantation
Transcendental = -14
Transcendental = Illuminated Madman
Transcendental = Hysterical Oblivion
Transcendental = Paradise Partition
Transcendental = Radiant Darkness
Transcendental = Dada Revolution
Transcendental = Holy Imagination
Transcendental = Alchemy Nightmare
Irrational = -31
Irrational = Robot Brain
Irrational = Transcendental Onion
Irrational = Imaginary Void
Irrational = Propositional Villian
Irrational = Fractional Abortion
Circumference Divided by Diameter = 9
Circumference Divided by Diameter = Number Wheel
Circumference Divided by Diameter = Seraphim Egg
Circumference Divided by Diameter = A Round Theology
Circumference Divided by Diameter = Saturn Buddha
Circumference Divided by Diameter = Measure Three
Circumference Divided by Diameter = Xi Point Six Belt
Circumference Divided by Diameter = Natural Bust
Circumference Divided by Diameter = Cryptography Clock
Other Peripheral Equalities
Crimminal = Madman = -23
Immortal = Vampire = Terrorist = -29
Pederasty = Werewolf = 18
The Damp Masses = Bile = 13
Fate = Solipsism = 12
Symbolic = Logic = Intellect = Kabbalah = 11
Thirteen = -13
Heaven = Starry = Midnight = -15
- - - - - - - - - - -

1 comment:

Wm Jas said...

Very impressive! Have you tried it on any other irrational numbers (e, golden ratio, etc.)?