Septimal third tone
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A septimal 1/3-tone (in
septimal 1/3-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 these two intervals is lost. The septimal 1/3-tone may be derived from the harmonic series as the interval between the twenty-seventh and twenty-eighth harmonics. It may be considered a diesis.[2]
The septimal 1/3-tone, along with the
15-TET
that take advantage of the temperament.
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.
It is the difference between 7/6 and 9/8 (tritē and paramesē).[3][4]
Septimal sixth tone
The 31-TET or any other odd division of the octave.
References
- ISBN 0-8247-4714-3. 1/3-tone, Archytas inferior 1/4-tone.
- ISBN 9780521623711.
- ISBN 9781139444071.
- ISBN 9780521616973.
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