Septimal quarter tone

From Wikipedia, the free encyclopedia

A septimal quarter-tone (in music) is an interval with the ratio of 36:35, which is the difference between septimal and 5-limit minor thirds. 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.