Septimal diatonic semitone
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).
| Inverse | major seventh |
|---|---|
| Name | |
| Other names | Septimal diatonic semitone |
| Size | |
| Semitones | 1 |
| Interval class | 1 |
| Just interval | 15:14 |
| Cents | |
| Equal temperament | 100 |
| 24 equal temperament | 100 |
| Just intonation | 119.44 |
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).
Septimal diatonic semitone (15/14) on C Play
Play See also
- Major diatonic semitone (5-limit, 16:15)
- Minor diatonic semitone (or septendecimal diatonic semitone, 17:16).
Sources
- Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv & 25. ISBN 0-8247-4714-3.
| Twelve- semitone (post-Bach Western) |
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