User:Xenoindex/Nonatonic MV3
I believe these are all of the strict MV3 scales with nine 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:
146 Scales Total
24 Unconditional Single-Period
120 Conditional Single-Period
2 Unconditional Multi-Period
0 Conditional Multi-Period
Unconditional
Single-Period
7L 1M 1s: LLLLsLLLM / LLLLMLLLs
1L 7M 1s: LMMMsMMMM / LMMMMsMMM
1L 1M 7s: LssssMsss / LsssMssss
5L 2M 2s: LLsLMLsLM / LLMLsLMLs
2L 5M 2s: LMsMLMsMM / LMMsMLMsM
2L 2M 5s: LsMsLssMs / LsMsLsMss
4L 4M 1s: LMLMLMLsM / LMLMLMLMs
4L 1M 4s: LsLsLsLsM / LMsLsLsLs
1L 4M 4s: LsMsMsMsM / LMsMsMsMs
3L 3M 3s: LMLsMsLMs / LMLsMLsMs
3L 3M 3s: LMsLsMLsM / LMsLMsLsM
3L 3M 3s: LMsMLsMLs / LMsLMsMLs
Multi-Period
3L 3M 3s: LsMLsMLsM / LMsLMsLMs
Conditional (MM=Ls)
Single-Period
1L 7M 1s: LMMsMMMMM / LMMMMMsMM
1L 7M 1s: LMsMMMMMM / LMMMMMMsM
1L 7M 1s: LsMMMMMMM / LMMMMMMMs
2L 6M 1s: LMMMLsMMM
1L 6M 2s: LMMMsMMMs
2L 6M 1s: LMMMLMsMM
1L 6M 2s: LMMsMMMsM
2L 6M 1s: LMMMLMMsM
1L 6M 2s: LMsMMMsMM
2L 6M 1s: LMMMLMMMs
1L 6M 2s: LsMMMsMMM
6L 2M 1s: LLLsLLMLM
1L 2M 6s: LssMsMsss
6L 2M 1s: LLLMLMLLs
1L 2M 6s: LsssMsMss
3L 5M 1s: LMLsMLMMM
1L 5M 3s: LMsMMMsMs
3L 5M 1s: LMLMsLMMM
1L 5M 3s: LsMMMsMsM
3L 5M 1s: LMLMMMLsM
1L 5M 3s: LMsMsMMMs
3L 5M 1s: LMLMMMLMs
1L 5M 3s: LsMsMMMsM
3L 5M 1s: LLsLMMMMM
1L 5M 3s: LsMMMMMss
5L 3M 1s: LLsLMLMLM
1L 3M 5s: LsMsMsMss
3L 5M 1s: LLMMMMMLs
1L 5M 3s: LssMMMMMs
5L 3M 1s: LLMMLLsLM
1L 3M 5s: LsMssMMss
5L 3M 1s: LLMLsLMLM
1L 3M 5s: LsMsMssMs
5L 3M 1s: LLMLsLLMM
1L 3M 5s: LssMMssMs
5L 3M 1s: LLMLMLsLM
1L 3M 5s: LsMssMsMs
5L 3M 1s: LLMLMLMLs
1L 3M 5s: LssMsMsMs
2L 5M 2s: LMMsMLsMM
2L 5M 2s: LMMsMMLMs
2L 5M 2s: LMMsLMsMM
2L 5M 2s: LMMsMMLsM
2L 5M 2s: LMsMMLsMM / LMMsLMMsM
2L 5M 2s: LMMMsMMLs
2L 5M 2s: LMMsLsMMM
2L 5M 2s: LMsLMsMMM / LMMMsMLsM
2L 5M 2s: LMMMsMLMs
2L 5M 2s: LMsMLsMMM
2L 5M 2s: LMMMsLsMM
2L 5M 2s: LMMsMMMLs
2L 5M 2s: LMMMsLMsM
2L 5M 2s: LMsMMMLsM
2L 5M 2s: LsMMLsMMM / LMMMsLMMs
2L 5M 2s: LMMMMsMLs
2L 5M 2s: LMsLsMMMM
2L 5M 2s: LMMMMsLsM
2L 5M 2s: LMsMMMMLs
2L 5M 2s: LsMLsMMMM / LMMMMsLMs
2L 5M 2s: LsLsMMMMM / LMMMMMsLs
2L 5M 2s: LMMLsMMMs
2L 5M 2s: LMMMLsMMs
2L 5M 2s: LMLsMMMMs
2L 5M 2s: LMMMMLsMs
2L 5M 2s: LLsMMMMMs
2L 5M 2s: LMMMMMLss
5L 2M 2s: LLsLMLMLs
2L 2M 5s: LsMsMsLss
5L 2M 2s: LLsLLsLMM
2L 2M 5s: LsMMssLss
5L 2M 2s: LLMMLsLLs
2L 2M 5s: LssLssMMs
5L 2M 2s: LLMMLLsLs
2L 2M 5s: LsLssMMss
5L 2M 2s: LLLsLMMLs
2L 2M 5s: LsMMsLsss
4L 4M 1s: LLsLMMLMM
1L 4M 4s: LsMMsMMss
4L 4M 1s: LLMMMMLLs
1L 4M 4s: LssMMMMss
4L 4M 1s: LLMMLsLMM
1L 4M 4s: LsMMssMMs
4L 4M 1s: LLMMLMMLs
1L 4M 4s: LssMMsMMs
3L 4M 2s: LMMMLsLsM
2L 4M 3s: LMsMMMsLs
3L 4M 2s: LMMMLMsLs
2L 4M 3s: LsLsMMMsM
3L 4M 2s: LMMLsMMLs
2L 4M 3s: LMMsLsMMs
3L 4M 2s: LMMLsLMMs
2L 4M 3s: LsMMLsMMs
4L 3M 2s: LMLsLMLsM
2L 3M 4s: LMsMsLsMs
4L 3M 2s: LMLMsLMLs
2L 3M 4s: LsMsLsMsM
3L 3M 3s: LMsMLsLsM / LMsLsLMsM
3L 3M 3s: LMMsMLsLs
3L 3M 3s: LMsLsLsMM
3L 3M 3s: LMsLsMMLs / LMMsLsMLs
3L 3M 3s: LMMsLsLsM
3L 3M 3s: LMsMMLsLs
3L 3M 3s: LMMsLsLMs
3L 3M 3s: LsLsMLsMM
3L 3M 3s: LMMsLMsLs
3L 3M 3s: LsLsMMLsM
3L 3M 3s: LsLsLsMMM / LMMMsLsLs
Multi-Period
(none)
Conditional (MMM=sLs)
1L 6M 2s: LsMMMMMMs
Conditional (MMM=LsL)
2L 6M 1s: LMMMMMMLs