Bipentatonic scale: Difference between revisions
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Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. The first part of this article surveys dipentatonic scales you can get in various edos with relatively good fifths. Dipentatonic scales tend to work better with sharper fifths, because it's easier to interleave a minor third of one pentatonic inside a major third of the second pentatonic. The second part of this article surveys dipentatonic scales in [[JI]]. Dipentatonic scales also exist in [[regular temperaments]] of course, but exploration of such scales is not included in the article for now at least. | Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. The first part of this article surveys dipentatonic scales you can get in various edos with relatively good fifths. Dipentatonic scales tend to work better with sharper fifths, because it's easier to interleave a minor third of one pentatonic inside a major third of the second pentatonic. The second part of this article surveys dipentatonic scales in [[JI]]. Dipentatonic scales also exist in [[regular temperaments]] of course, but exploration of such scales is not included in the article for now at least. | ||
== Dipentatonic rank-3 scale patterns == | |||
A rank-3 dipentatonic scale with step sizes 5x ay (5-a)z has the form xYxYxYxYxY where the Y's are y's and z's arranged in the [[MOS]] pattern ay (5-a)z. | |||
* [[1L 4M 5s]] | |||
* [[2L 3M 5s]] | |||
* [[3L 2M 5s]] | |||
* [[4L 1M 5s]] | |||
* [[1L 5M 4s]] | |||
* [[2L 5M 3s]] | |||
* [[3L 5M 2s]] | |||
* [[4L 5M 1s]] | |||
* [[5L 1M 4s]] | |||
* [[5L 2M 3s]] | |||
* [[5L 3M 2s]] | |||
* [[5L 4M 1s]] | |||
==Sharp-fifth edos== | ==Sharp-fifth edos== | ||