Pythagorean Comma - Size

Size

The size of a Pythagorean comma, measured in cents, is

or more exactly, in terms of frequency ratios:

\frac{\hbox{apotome}}{\hbox{limma}}
=\frac{3^7/2^{11}}{2^8/3^5}
= \frac{3^{12}}{2^{19}}
= \frac{531441}{524288}
= 1.0136432647705078125
\!

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