User:Xenoindex/Octotonic MV3

I believe these are all of the strict MV3 scales with eight notes. There are no unconditional eight note MV3 scales that may have any L:M:s ratio and still be strict MV3, note that this means that there exist hardnesses (such as 5:2:1) with no possible strict MV3 scales with eight notes. 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.

Here's some stats:

55 Scales Total (incl. chirals)

33 Scales Total (not incl. chirals)

0 Unconditional Scales (incl. chirals)

0 Unconditional Scales (not incl. chirals)

53 Conditional (MM=Ls) Scales (incl. chirals)

31 Conditional (MM=Ls) Scales (not incl. chirals)

1 Conditional (MMM=sLs) Scale (not chiral)

1 Conditional (MMM=LsL) Scale (not chiral)

44 Chiral Scales Total (22 pairs)

11 Achiral Scales Total

Unconditional

NONE

Conditional (MM=Ls)

1L 2M 5s

LssMssMs / LsMssMss

LsssMMss / LssMMsss

1L 4M 3s

LsMsMMsM / LMsMMsMs

LsMMsMsM / LMsMsMMs

LssMMMMs / LsMMMMss

1L 6M 1s

LsMMMMMM / LMMMMMMs

LMsMMMMM / LMMMMMsM

LMMsMMMM / LMMMMsMM

2L 4M 2s

LLsMMMMs

LMLsMMMs

LMMLsMMs

LMMMLsMs

LMMMMLss

LsLsMMMM / LMMMMsLs

LsMLsMMM / LMMMsLMs

LMsLsMMM / LMMMsLsM

LMsMMMLs / LMMMsMLs

LMsMLsMM / LMMsLMsM

LMMsLsMM

LMsMMLsM / LMMsMLMs

LMsLMsMM / LMMsMLsM

LMMsMMLs

3L 2M 3s

LsLsLsMM / LMMsLsLs

LsLsMLsM / LMsLMsLs

LMsLsLsM

LMsMLsLs

3L 4M 1s

LLsLMMMM / LLMMMMLs

LMLsMLMM / LMLMMLMs

LMLMsLMM / LMLMMLsM

5L 2M 1s

LLLMMLLs / LLLsLLMM

LLMLLsLM / LLMLLMLs

Conditional (MMM=sLs)

1L 5M 2s

LsMMMMMs

Conditional (MMM=LsL)

2L 5M 1s

LMMMMMLs