Diatonic semitone: Difference between revisions
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Add Wikipedia box, improve lead section (formulation now makes it clear that there are multiple intervals that can be called chromatic semitone), misc. edits |
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{{Wikipedia|Semitone#Minor second}} | |||
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). Do note that 24edo's 2\24 is used as the mapping criteria here rather than [[12edo]]'s 1\12 since 12edo tempers out certain intervals that otherwise qualify as diatonic semitones. | ||
== 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) | |||
== See also == | == See also == | ||
* [[ | * [[Chromatic semitone]] | ||
[[Category:Diatonic]] | [[Category:Diatonic]] | ||
[[Category:Semitone]] | |||
Revision as of 04:09, 22 August 2023
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). Do note that 24edo's 2\24 is used as the mapping criteria here rather than 12edo's 1\12 since 12edo tempers out certain intervals that otherwise qualify as diatonic semitones.
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)