User:Xenoindex/Hexatonic MV3

I believe these are all of the strict MV3 scales with six 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. 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:

19 Scales Total

3 Unconditional Single-Period

14 Conditional Single-Period

2 Unconditional Multi-Period

0 Conditional Multi-Period

Unconditional

Single-Period

2L 2M 2s: LMLsMs

2L 2M 2s: LMsLsM

2L 2M 2s: LMsMLs

Multi-Period

2L 2M 2s: LsMLsM / LMsLMs

Conditional (MM=Ls)

Single-Period

1L 4M 1s: LMsMMM / LMMMsM

1L 4M 1s: LsMMMM / LMMMMs

3L 2M 1s: LLsLMM

1L 2M 3s: LsMMss

3L 2M 1s: LLMMLs

1L 2M 3s: LssMMs

2L 2M 2s: LsLsMM / LMMsLs

2L 2M 2s: LLsMMs

2L 2M 2s: LMMLss

Multi-Period

(none)

Conditional (MMM=sLs)

1L 3M 2s: LsMMMs

Conditional (MMM=LsL)

2L 3M 1s: LMMMLs