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).

Major diatonic semitone

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 

See also

• Major diatonic semitone (5-limit, 16:15)
• Minor diatonic semitone (or septendecimal diatonic semitone, 17:16).

Sources

1. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv & 25. ISBN 0-8247-4714-3.