reply to post by Maddogkull
O.K. frequency comes from music -- in nonwestern music it means that double the frequency is half the wavelength -- but actually it's measured by
mathematics -- so 1:2 is the octave but there's a harmonic overtone as 2:3 and another harmonic overtone at 3:4.
So the 2:3 is the frequency of the perfect fifth -- but in Western harmonics the wavelength was turned into an inverse square rule -- by doubling the
frequency from 2 to 4 and then using UNDERTONES -- instead of overtone harmonics.
So you get the 9:4 as the 2nd overtone of the 2nd octave (double wavelength) which is then divided by two as 9:8 to become the major 2nd interval of
the music scale.
This process is repeated so that the perfect fifth is multiplied by itself -- but the octave doubles -- not squares -- yet this process is justified
by the double octave since 2 x 2 is also 2 squared.
So then we get the basic rule that the wavelength squared equals double the frequency!
Instead previously it was the wavelength halved equals double the frequency -- using overtones.
So then 9/8 cubed equals the square root of two -- as the Tritone music interval -- which is midway between the perfect 4th and perfect 5th - the 2:3
and 3:4 ratios.
O.K. so in Western math A x B = B x A but in nonwestern "frequency" 2:3 is C to G while 3:4 is G to C -- so that G x C does not equal G x C.
So this is a very basic difference about how frequency is defined -- whether time is defined by spatial measurement or
by listening perception.
We have spatial perception as vision or listening perception as time.
I have all the technical details on my blogbook.
naturalresonancerevolution.blogspot.com...