Bipentatonic scale: Difference between revisions
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== Dipentatonic abstract rank-3 scale patterns == | == Dipentatonic abstract 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 the ''y'' and ''z'' arranged in the [[MOS]] pattern ay (5-a)z. The interlocking pentatonics are copies of the mos ''aL (5-a)s'' if ''y > z'' and ''(5-a)L as'' if ''z > y''. The following is a complete list of such abstract patterns, assuming octave equivalence: | A rank-3 dipentatonic scale with step sizes ''5x ay (5-a)z'' has the form ''xYxYxYxYxY'' where the ''Y'''s are the ''y'' and ''z'' arranged in the [[MOS]] pattern ay (5-a)z. The interlocking pentatonics are copies of the mos ''aL (5-a)s'' if ''y > z'' and ''(5-a)L as'' if ''z > y''. The following is a complete list of such abstract patterns, assuming octave equivalence: | ||
* 1L 4M 5s | * 1L 4M 5s, LsMsMsMsMs | ||
* 2L 3M 5s | * 2L 3M 5s, MsLsMsLsMs | ||
* 3L 2M 5s | * 3L 2M 5s, LsMsLsMsLs | ||
* 4L 1M 5s | * 4L 1M 5s, LsLsLsLsMs | ||
* 1L 5M 4s | * 1L 5M 4s, LMsMsMsMsM | ||
* 2L 5M 3s | * 2L 5M 3s, sMLMsMLMsM | ||
* 3L 5M 2s | * 3L 5M 2s, LMsMLMsMLM | ||
* 4L 5M 1s | * 4L 5M 1s, LMLMLMLMsM | ||
* 5L 1M 4s | * 5L 1M 4s, LsLsLsLsLM | ||
* [[Blackdye]] (5L 2M 3s dipentatonic, LsLMLsLMLs | * [[Blackdye]] (5L 2M 3s dipentatonic), LsLMLsLMLs | ||
* 5L 3M 2s | * 5L 3M 2s, LMLsLMLsLM | ||
* 5L 4M 1s | * 5L 4M 1s, LMLMLMLMLs | ||
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==Sharp-fifth edos== | ==Sharp-fifth edos== | ||
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===31edo=== | ===31edo=== | ||
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== Just dipentatonic scales == | == Just dipentatonic scales == | ||
Every other note of a just dipentatonic scale gives a Pythagorean pentatonic. Dipentatonic scales that are also [[SN scales|3-SN scales]] can be constructed by placing the same interval above or below each step of a pentatonic scale. This interval defines the scale, and the logic behind the listing below. | Every other note of a just dipentatonic scale gives a Pythagorean pentatonic. Dipentatonic scales that are also [[SN scales|3-SN scales]] can be constructed by placing the same interval above or below each step of a pentatonic scale. This interval defines the scale, and the logic behind the listing below. | ||