In
music
Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect ...
, 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
In music, the ratio 225/224 is called the septimal kleisma ().
It is a minute comma type interval of approximately 7.7 cents. Factoring it into primes gives 2−5 32 52 7−1, which can be rewritten 2−1 (5/4)2 (9/7). That says t ...
(the interval 225:224, or 7.71 cents).
See also
*
Major diatonic semitone (5-limit, 16:15)
*
Minor diatonic semitone (or septendecimal diatonic semitone, 17:16).
References
{{music-theory-stub
Seconds (music)
7-limit tuning and intervals
0015:0014