Bipentatonic scale: Difference between revisions
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* 9L 1s: LLLLLLLLLs (pentatonic 4L 1s) | * 9L 1s: LLLLLLLLLs (pentatonic 4L 1s) | ||
=== Dipentatonic | === Dipentatonic ternary scale patterns === | ||
A | A ternary dipentatonic scale with step sizes 5x ay (5-a)z has the form xYxYxYxYxY where the Y's are replaced with y and z steps 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, LsMsMsMsMs | * 1L 4M 5s, LsMsMsMsMs | ||
* 2L 3M 5s, MsLsMsLsMs | * 2L 3M 5s, MsLsMsLsMs | ||
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* [[Onyxwood]] (5L 3M 2s), LMLsLMLsLM <!-- Named by inthar --> | * [[Onyxwood]] (5L 3M 2s), LMLsLMLsLM <!-- Named by inthar --> | ||
* 5L 4M 1s, LMLMLMLMLs | * 5L 4M 1s, LMLMLMLMLs | ||
== Dipentic scales using the Pythagorean pentic and arbitrary offsets == | == Dipentic scales using the Pythagorean pentic and arbitrary offsets == | ||
A ''dipentic'' scale is a 10-note scale such that the even degrees form one copy of the [[pentic]] MOS 2L3s and the odd degrees form a second, shifted copy of 2L3s with the same generator tuning as the first copy. Dipentic scales are classified by the generator used by the pentic and the ''offset'' between the two copies of pentic. Here we classify ''dipythpentic'' scales, dipentic scales that use the 3/2-generated Pythagorean tuning for the two copies of pentic. | A ''dipentic'' scale is a 10-note scale such that the even degrees form one copy of the [[pentic]] MOS 2L3s and the odd degrees form a second, shifted copy of 2L3s with the same generator tuning as the first copy. Dipentic scales are classified by the generator used by the pentic and the ''offset'' between the two copies of pentic. Here we classify ''dipythpentic'' scales, dipentic scales that use the 3/2-generated Pythagorean tuning for the two copies of pentic. | ||