23-limit: Difference between revisions

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23-Limit Harmony: More clarification?
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== 23-Limit Harmony ==
== 23-Limit Harmony ==
[[File:Some 23-limit otonal chords.png|thumb|15 pentads and 1 hexad, with 23 as the highest odd harmonic, avoiding steps smaller than 23/21.]]
== Trivia ==
== Trivia ==
* Unlike most other prime limits, the smallest [[superparticular ratio]] of [[Harmonic class|HC23]] is larger than the smallest one of HC19. 23 is the first prime limit to show this phenomenon. The ratio is, in fact, larger than the second smallest one of HC19. See [[List of superparticular intervals]].  
* Unlike most other prime limits, the smallest [[superparticular ratio]] of [[Harmonic class|HC23]] is larger than the smallest one of HC19. 23 is the first prime limit to show this phenomenon. The ratio is, in fact, larger than the second smallest one of HC19. See [[List of superparticular intervals]].