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Posted: Mon Aug 25, 2014 5:59 am
by Digital Larry
I think the issue is simply "octaves UP" vs. "frequency ratio". To get the frequency ratio you add one to the middle column of numbers. I believe this is where the "minus one" comes from in the original equation.

This puts the original +7 semitones at 1.49 something, just about 3/2, remember our ancient tunings... then 12 + 7 comes out at almost 3.00, twice that... I've stopped worrying about it, although for some reason I dreamed about taking a history test that had no questions on it.

Thx again.

DL