Septimal diatonic semitone
Musical interval
| Inverse | major seventh |
|---|---|
| Name | |
| Other names | Septimal diatonic semitone |
| Size | |
| Semitones | 1 |
| Interval class | 1 |
| Just interval | 15:14 |
| Cents | |
| 12-Tone equal temperament | 100 |
| 24-Tone equal temperament | 100 |
| Just intonation | 119.44 |
In music, a septimal diatonic semitone (or major diatonic semitone[1]) is the interval 15:14 Playⓘ. It is about 119.44 cents. The septimal diatonic semitone may be derived from the harmonic series as the interval between the fourteenth and fifteenth harmonics (B7b and B).
The septimal diatonic semitone equals a just diatonic semitone Playⓘ (16:15, or 111.73 cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents).
See also
- Major diatonic semitone (5-limit, 16:15)
- Minor diatonic semitone (or septendecimal diatonic semitone, 17:16).
References
- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv & 25. 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
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| 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 | |
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| Measurement |
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| Others |
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