Septimal chromatic semitone

In music, a septimal chromatic semitone or minor semitone[1] is the interval 21:20 (Play ). It is about 84.47 cents. The septimal chromatic semitone may be derived from the harmonic series as the interval between the twentieth and twenty-first harmonics.

The septimal chromatic semitone equals a just chromatic semitone (25:24) plus a septimal semicomma (126:125).

When added to the 15:14 semitone, the 21:20 semitone and 28:27 semitone produce the 9:8 tone (major tone) and 10:9 tone (minor tone), respectively.


  1. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv. ISBN 0-8247-4714-3.
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