In music, a septimal diatonic semitone (or major diatonic semitone[1]) is the interval 15:14 . 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 | |
12-Tone equal temperament | 100 |
24-Tone equal temperament | 100 |
Just intonation | 119.44 |
The septimal diatonic semitone equals a just diatonic semitone (16:15, or 111.73 cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents).
See also
edit- Major diatonic semitone (5-limit, 16:15)
- Minor diatonic semitone (or septendecimal diatonic semitone, 17:16).
References
edit- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv & 25. ISBN 0-8247-4714-3.