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→Inconsistencies between 12 Tones and Pure Intervals
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7136.048583984375 05 HZ is not 55 HZ multiplied by some power of 2. A8 should be 2x A7, 4x A6, 8x A5, 16x A4, 32x A3, 64x A2, and ...128x A1. 55 HZ x 128 = 7040 HZ. We are sharp by 1.364%. What gives? '''This is simply an anomoly of trying to marry the mathematically incompatible concepts of pure-tuned intervals to the 12-note chromatic scale.''' This is highlighted clearly when trying to marry the 3:2 ratio 5th interval with the 2:1 ratio octave:
n * (3/2)^x = n * 2^y