Definition of Millioctave
The millioctave (moct) is a unit of measurement for musical intervals. As is expected from the prefix milli-, a millioctave is defined as 1/1000 of an octave. From this it follows that one millioctave is equal to the ratio 21/1000, the 1000th root of 2, or approximately 1.0006934.
Given two frequencies a and b, the measurement of the interval between them in millioctaves can be calculated by
{\displaystyle n=1000\log _{2}\left({\frac {a}{b}}\right)\approx 3322\log _{10}\left({\frac {a}{b}}\right)}
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Frequently asked questions
What is Millioctave?
The millioctave (moct) is a unit of measurement for musical intervals. As is expected from the prefix milli-, a millioctave is defined as 1/1000 of an octave.