Well you'll have to read chapter 4 of my blogbook -- "Secrets of the Greek Freemasonic Miracle" --

http://mothershiplanding.blogspot.com
For example Euler demonstrates with continued fractions that 1 = 0, etc. Basic logical paradoxes in math. Western math, referring to the cipher system, simply states well you can't divide by zero then and we just convert the continued fractions into irrational numbers.

The issue I'm raising is that the cipher system relies on symmetry based on the commutative property while nonwestern numbers do not line up with phonetic symbols using a one-to-one correspondence.

It's not just a number divided by a symbol - it's the conversion of continued proportions or continued fractions into the irrational number as a converging series (whereby number was inherently tied to geometry).

Nonwestern music states that number does not need to have a one-to-one correspondence with letter on a point or line -- rather the logic of number resonates through asymmetry or complimentary opposites (as pure inference, without a need to "contain" infinity using symmetry).

This means that you LISTEN to the source of one as the source of the I-thought or in western math, "A" as the Golden Ratio, a continued fraction of one. "A" comes from the upside down bull head in Sumerian ideograms -- used in the first Western axiom: "I Am that I Am" -- whereby I refers to one and "AM" refers to 2:3:4 or OHM, AUM, AMEN, etc. and "that" refers to turiya -- the 4th state of awareness, beyond deep sleep. God comes from the Indo-European word GOTT meaning BULL just as Brahman means BULL and Canis Major in Egyptian cosmology is the BULL, etc. In other words plow-based farming was managed through a ritual sacrifice priestly geometry (Freemasonry) using a Solar-based calendar. The lunar calendar was pure number -- scratches on bones going back some 80,000 years ago -- while the Solar calendar is dependent on left-brain phonetic logic using divide and average geometry.

Try subtracting 359 from 364 using Sumerian ideograms. There was no way to standardize the farming calendar with the lunar cycle -- so the 60-based number system switched to using zero and a 10-based number system with 4:5, the major third, as the pivot point through harmonics -- 5:4 converging to the cube root of two. The Gods of Babylon and Sumeria were RATIOS.

So the Greeks stated that Golden Ratio was A:B::B:A + B.

Which in frequency ratio form creates the harmonic just ratios 3:5 and 5:8.

But to convert the continued fraction of the Golden Ratio into an irrational number the minor sixth harmonic must be REVERSED so that the symmetric cipher logic of zero can be used -- what Plato called "negative infinity" or apeiron.

So 5:8 as frequency has to become 8:5 so that Archytas could plug it into his geometric mean equation, coming from the Babylonian harmonic tetrad as 6:8::9:12 from the 60-based number system 30:40::45:60.

In other words the octave had to be doubled so that frequency could be converted to amplitude relying on a materialistic logarithmic definition, giving the square root of two. I give the secret in chapter 4 of my blogbook - it's from Archytas' proof for doubling the cube.

As I stated math professor Joe Mazur reviewed my research this summer and has reaffirmed this fall that it is a "very valuable" compliation that he thought should get peer-reviewed publication.

In otherwords the Babylonian tetrad is the conversion of the complimentary opposites into symmetry -- 6:8::9:12 is from the Chinese-Pythagorean tetrad of 1:2:3:4 only the Babylonians used "divide and average" logarithmics.