Diatonic semitone: Difference between revisions
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{{Wikipedia|Semitone#Minor second}} | {{Wikipedia|Semitone #Minor second}} | ||
A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale. | A '''diatonic semitone''', '''minor second''' or '''limma''' is the small step of a [[diatonic]] scale. | ||
In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo|1\7]] and [[24edo|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). | In [[just intonation]], an interval may be classified as a diatonic semitone if it is reasonably mapped to [[7edo|1\7]] and [[24edo|2\24]] (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than [[12edo]]'s 1\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. | ||
== Examples == | == Examples == | ||
Revision as of 14:57, 11 August 2024
A diatonic semitone, minor second or limma is the small step of a diatonic scale.
In just intonation, an interval may be classified as a diatonic semitone if it is reasonably mapped to 1\7 and 2\24 (precisely one step of the diatonic scale and one step of the chromatic scale). The use of 24edo's 2\24 as the mapping criteria here rather than 12edo's 1\12 better captures the characteristics of many intervals in the 11- and 13-limit.
Examples
- 256/243, the Pythagorean diatonic semitone (3-limit)
- 16/15, the classic diatonic semitone (5-limit)
- 128/121, the Axirabian diatonic semitone (11-limit; specifically belonging to the 2.3.11 subgroup)