User:Xenoindex/Heptatonic MV3
I believe these are all of the strict MV3 scales with seven 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.
Here's some stats:
54 Scales Total (incl. chirals)
33 Scales Total (not incl. chirals)
24 Unconditional Scales (incl. chirals)
15 Unconditional Scales (not incl. chirals)
30 Conditional Scales Total (incl. chirals)
18 Conditional Scales Total (not incl. chirals)
28 Conditional (MM=Ls) Scales (incl. chirals)
16 Conditional (MM=Ls) Scales (not incl. chirals)
1 Conditional (MMM=LsL) Scale (not chiral)
1 Conditional (MMM=sLs) Scale (not chiral)
42 Chiral Scales Total (21 pairs)
18 Chiral Unconditional Scales (9 pairs)
24 Chiral Conditional (MM=Ls) Scales (12 pairs)
0 Chiral Conditional (MMM=LsL) Scales
0 Chiral Conditional (MMM=sLs) Scales
12 Achiral Scales Total
6 Achiral Unconditional Scales
4 Achiral Conditional (MM=Ls) Scales
1 Achiral Conditional (MMM=LsL) Scale
1 Achiral Conditional (MMM=sLs) Scale
Unconditional
1L 1M 5s
LsssMss / LssMsss
1L 5M 1s
LMMsMMM / LMMMsMM
5L 1M 1s
LLLsLLM / LLLMLLs
1L 2M 4s
LsMssMs
1L 4M 2s
LMsMMsM
2L 1M 4s
LsMsLss
2L 4M 1s
LMMLMsM
4L 1M 2s
LLsLMLs
4L 2M 1s
LLMLsLM
1L 3M 3s
LsMsMsM / LMsMsMs
3L 1M 3s
LsLsLsM / LMsLsLs
3L 3M 1s
LMLMLsM / LMLMLMs
2L 2M 3s
LsMLsMs / LMsLsMs
2L 3M 2s
LMsMLsM / LMsLMsM
3L 2M 2s
LMLsMLs / LMLsLMs
Conditional (MM=Ls)
1L 2M 4s
LssMsMs / LsMsMss
1L 3M 3s
LssMMMs / LsMMMss
1L 4M 2s
LsMMsMM / LMMsMMs
1L 5M 1s
LMsMMMM / LMMMMsM
LsMMMMM / LMMMMMs
2L 3M 2s
LLsMMMs
LMLsMMs
LMMLsMs
LMMMLss
LMsLsMM / LMMsLsM
LMsMMLs / LMMsMLs
LsLsMMM / LMMMsLs
LsMLsMM / LMMsLMs
2L 4M 1s
LMMLsMM / LMMLMMs
3L 3M 1s
LLsLMMM / LLMMMLs
4L 2M 1s
LLsLMLM / LLMLMLs
Conditional (MMM=LsL)
2L 4M 1s
LMMMMLs
Conditional (MMM=sLs)
1L 4M 2s
LsMMMMs