Chromatic 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 |
Like the diatonic semitone, this can benefit from using 2\24 |
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A '''chromatic semitone''' or '''augmented unison''' is the [[chroma]] of a [[diatonic]] scale. It is also the large step of a [[p-chromatic]] scale or the small step of an [[m-chromatic]] scale. | A '''chromatic semitone''' or '''augmented unison''' is the [[chroma]] of a [[diatonic]] scale. It is also the large step of a [[p-chromatic]] scale or the small step of an [[m-chromatic]] scale. | ||
In [[just intonation]], an interval may be classified as a chromatic semitone if it is reasonably mapped to [[7edo|0\7]] and [[ | In [[just intonation]], an interval may be classified as a chromatic semitone if it is reasonably mapped to [[7edo|0\7]] and [[24edo|2\24]] (precisely zero steps 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 == | ||
* [[2187/2048]], the Pythagorean chromatic semitone (3-limit) | * [[2187/2048]], the Pythagorean chromatic semitone (3-limit) | ||
* [[25/24]], the classic chromatic semitone (5-limit) | * [[25/24]], the classic chromatic semitone (5-limit) | ||
* [[1089/1024]], the Alpharabian chromatic semitone (11-limit, specifically 2.3.11 subgroup) | |||
== See also == | == See also == | ||
Latest revision as of 15:00, 11 August 2024
A chromatic semitone or augmented unison is the chroma of a diatonic scale. It is also the large step of a p-chromatic scale or the small step of an m-chromatic scale.
In just intonation, an interval may be classified as a chromatic semitone if it is reasonably mapped to 0\7 and 2\24 (precisely zero steps 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
- 2187/2048, the Pythagorean chromatic semitone (3-limit)
- 25/24, the classic chromatic semitone (5-limit)
- 1089/1024, the Alpharabian chromatic semitone (11-limit, specifically 2.3.11 subgroup)