User:Xenoindex/Pentatonic MV3

I believe these are all of the strict MV3 scales with five notes. Unconditional MV3 scales may have any L:M:s ratio. Conditional MV3 scales have a condition specified in the section header that the L:M:s ratio needs to satisfy in order for the scale to be strict MV3. Note the two pentatonic MV3 scales with the seemingly unique (Not MM=Ls) condition that no other known MV3 scales have. Lines with two scales separated with a slash are lexicographically left and right chiral scales respectively, lines with only one scale are therefore achiral. All scales are written in their brightest mode. Scales are grouped into sisterhoods. Unconditional sisterhoods may have up to six scales while conditional sisterhoods appear to have up to two scales. The two scales in conditional sisterhoods have their L's and s's swapped.

Here's some stats:

20 Scales Total

16 Unconditional Single-Period

4 Conditional Single-Period

0 Unconditional Multi-Period

0 Conditional Multi-Period

Unconditional

Single-Period

3L 1M 1s: LLsLM / LLMLs

1L 3M 1s: LMsMM / LMMsM

1L 1M 3s: LssMs / LsMss

2L 2M 1s: LMLsM / LMLMs

2L 1M 2s: LsLsM / LMsLs

1L 2M 2s: LsMsM / LMsMs

2L 2M 1s: LLMsM

2L 1M 2s: LLsMs

2L 1M 2s: LMLss

1L 2M 2s: LMssM

Multi-Period

(none)

Conditional (MM=Ls)

Single-Period

1L 3M 1s: LsMMM / LMMMs

Multi-Period

(none)

Conditional (Not MM=Ls)

2L 2M 1s: LMMLs

1L 2M 2s: LsMMs