Visualizing differences on the Resonance of Reality: Noncommutative phase vs. symmetric science

This image shows that the harmonics are asymmetric or complementary opposites - noncommutative phase.

So you are claiming that the two harmonics are a symmetric standing wave harmonic - so that 4/3 and 3/2 are on one side of the wave. In line with physics of standing waves as symmetric math.

So I'm saying that's not accurate. But rather an infinite spiral of noncommutative phase is accurate, as shown in this image:

So you are claiming the octaves are a straight line as the definition of resonance, as shown in this image:

You are saying it does not have to be logarithmic - indeed it originated from the "divide and average" symmetric logic that preceded logarithms (found in India and Babylon - Zoroastrian math).


So I'm saying that the octaves do not line up as a straight line but rather as an infinite spiral that is the 5th dimension that can only be listened to and not visualized:







So as Alain Connes describes with the image above - at each zero point there is ALREADY a noncommutative 2, 3, infinity as complementary opposites. This is in contrast to a closed Moebius torus.

So then for the 5th dimension it is as with a Klein Bottle - it can't be visualized - even though it looks like it might line up:




So you want to say that the Tritone is symmetric to the octaves:


So this covers up the noncommutative origin of the Perfect Fifth and Perfect Fourth to the root tonic.

So the 4/3 as 8/6 is derived from 0 to 8 as the root tonic with 6/8 as 3/4 wavelength to the frequency.






So I agree with Sir James Jeans, the physicist, that, as his above image in "Science and Music" demonstrates, the empirical truth of music is an infinite spiral that can only be listened to and not seen.

That is the true resonance of reality.