In
music
Music is generally defined as the The arts, art of arranging sound to create some combination of Musical form, form, harmony, melody, rhythm or otherwise Musical expression, expressive content. Exact definition of music, definitions of mu ...
, a septimal diatonic semitone (or major diatonic semitone
[Haluska, Jan (2003). ''The Mathematical Theory of Tone Systems'', p.xxiv & 25. .]) 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).
The septimal diatonic semitone equals a just
diatonic semitone
A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically.
It is defined as the interval between two adjacent no ...
(16:15, or 111.73 cents) plus a
septimal kleisma (the interval 225:224, or 7.71 cents).
See also
*
Major diatonic semitone (5-limit, 16:15)
*
Minor diatonic semitone
In music, the minor diatonic semitone is a ratio of 17:16,Anger, Joseph Humfrey (1912). A Treatise on Harmony with Exercises, Part 3', p.xiv. Boston Music. making it the seventeenth harmonicHaluška, Ján (2003). ''The Mathematical Theory of Tone ...
(or septendecimal diatonic semitone, 17:16).
References
{{music-theory-stub
Seconds (music)
7-limit tuning and intervals
0015:0014