Does it work out that the C = 528/512 is the same as the A = 440/432 - or that something yet different...?
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Does it work out that the C = 528/512 is the same as the A = 440/432 - or that something yet different...?
It is a different scale, but not necessarily disharmonious. The frequencies of the Solfeggio tones, instead of Do,Re,Mi,Fa,Sol,La,Ti are:
UT - 396 Hz
RE - 417 Hz
MI - 528 Hz
FA - 639 Hz
SOL - 741 Hz
LA - 852 Hz
The Solfeggio frequencies are mathematically and geometrically derived --
identical to the geometry of the platonic solids (3, 6 and 9 -- tons of interesting correlations here). The most research available on the Solfeggio scale has been done by Dr Leonard Horowitz, though supposedly it was originally "rediscovered" by Dr Joseph Barber which supposedly he deciphered through numerology.
This is a retuning example which puts A4=444Hz and C = 528Hz
174 Hz = F3 438.48 Hz or -06 cents
285 Hz = C#4 452.37 Hz or +48 cents
396 Hz = G4 444.34 Hz or +17 cents
417 Hz = G#4 441.78 Hz or +7 cents
528 Hz = C5 444 Hz or +16 cents
639 Hz = D#5 451.84 Hz or +46 cents
741 Hz = F#5 440.60 Hz or +2 cents
852 Hz = G#5 451.33 Hz or +44 cents
963 Hz = B5 428.96 Hz or -44 cents
The problem with A=440 Hz is that it is only a 4Hz deviation from A=444 Hz, thus dis-harmonic with the entire scale. Some argue that A=432 Hz is enough of a deviation not to create disharmony.