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In the process of a patent/copyright research I happened upon a copyrighted 12-tone Scientific Scale. Don't know what the application of it might be, bu do know that the 7-tone Scientific Scale of Pythagoras is the standstill to mathematics in the Western world. In any event I copied it down to give here should there be the interest:

 

12-tone Scientific Scale:

 

F#= 1.4046639.... C= 2.0 (fundamental)

C#= 1.0534979.... G= 1.5

G#= 1.5802469.... D= 1.125

D#= 1.1851851.... A= 1.6875

A#= 1.7777777.... E= 1.265625

F = 1.3333333.... B= 1.8984375

 

Do not confuse the scale with tonal qualities discerned by the ear - approximate though they may be. Rather, the scale relates one wavelength to another by exacting mathematic rartio.

 

"All things number and harmony." - Pythagoras

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