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.
References
- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv. ISBN 0-8247-4714-3.
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Intervals
semitone
(post-Bach
Western)
(Numbers in brackets are the number of semitones in the interval.) |
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tuning
systems
24-tone equal temperament (Numbers in brackets refer to fractional semitones.) |
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Just intonations (Numbers in brackets refer to pitch ratios.) |
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intervals
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Semitones | |
Quarter tones | |
Commas |
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Measurement |
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Others |
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