Septimal quarter tone

Septimal quarter tone

A septimal quarter-tone (in music) is an interval with the ratio of 36:35 (Audio|Septimal quarter tone on C.mid|play), which is the difference between septimal (Audio|Septimal minor third on C.mid|play) and 5-limit minor thirds (Audio|Pythagorean minor third on C.mid|play). It is about 48.77 cents wide. The septimal quarter-tone can be viewed either as a musical interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between the two different types of minor thirds is lost.

The septimal quarter-tone is tempered out by twelve-tone equal temperament, but not in any of 19-TET, 22-TET, 24-TET, or 31-TET. 22-TET and 24-TET offer a very close match to the septimal quarter-tone.


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