Septimal diatonic semitone

Septimal diatonic semitone
Major diatonic semitone
Inverse major seventh
Name
Other names Septimal diatonic semitone
Abbreviation
Size
Semitones 1
Interval class 1
Just interval 15:14
Cents
Equal temperament 100
24 equal temperament 100
Just intonation 119.44
Major diatonic semitone on C About this sound Play .
Major diatonic semitone on C.

In music, a major diatonic semitone[1] or septimal diatonic semitone is the interval 15:14 About this sound Play . It is about 119.44 cents. The major diatonic semitone may be derived from the harmonic series as the interval between the fourteenth and fifteenth harmonics.

The major diatonic semitone equals a just diatonic semitone About this sound Play (16:15, or 111.73 cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents).

See also minor diatonic semitone (or undevicimal diatonic semitone, 17:16).

Sources

  1. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiv. ISBN 0824747143.