Saturday, February 12, 2022

What's the secret noncommutative connection between Egyptian and Chinese music-mathematics?

 So the 2nd note as 6 of 9 was from 90 feet long with a circumference of 9 as 81 - the number of Lunar Months as the 1st note as Heaven. 6 was 2 as Earth x 15 (the solar month as 24 solar months in a year) which gives 12 months (or 12 harmonic notes) with Earth as the value of 2 solar months!! So 30 is the value of Earth and take 2 to get 60 as the length x 6 of the diameter to get 360 as the solar year!

That's the ancient Chinese music harmonics.

In Egypt 2/3 was the sacred ratio and why?

 To determine the area of a circle, mathematicians in ancient Egypt used the square of 8/9 of its diameter.

And so we know that 3/2 was squared to 9/8 and halved back into the octave.

We know that 8/9 squared then is 64/81.... which is the Major third inversion of 4/5 in Pythagorean harmonics - and the major third is the Cube root of Two approximation as 5/4.

AND... we know that the Egyptians used the "imaginary number" as the square root of negative one - as per Paul Nahin's book on the imaginary number....

In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic;

We know from Young's work - that the imaginary number can be derived from the circle in two dimensions... 

 

http://ecoechoinvasives.blogspot.com/2018/02/the-blue-light-of-blues-music-ii.html



















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