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
Inversemajor seventh
Name
Other namesSeptimal diatonic semitone
Size
Semitones1
Interval class1
Just interval15:14
Cents
Equal temperament100
24 equal temperament100
Just intonation119.44

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).

See also

Sources

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