User:Xenoindex/Strict Unconditional MV3

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Here is a complete list of every strict unconditional MV3 scale up to 14 notes long. Unconditional MV3 scales may have any L:M:s ratio and remain MV3 as opposed to conditional MV3 scales which are not MV3 under certain L:M:s ratios. On the list below, 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 together by sisterhood and sorted chiral to achiral within sections.


3 Notes

Single-Period

1L 1M 1s: LsM / LMs


Multi-Period

(none)


4 Notes

Single-Period

(none)


Multi-Period

(none)


5 Notes

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)


6 Notes

Single-Period

2L 2M 2s: LMLsMs

2L 2M 2s: LMsLsM

2L 2M 2s: LMsMLs


Multi-Period

2L 2M 2s: LsMLsM / LMsLMs


7 Notes

Single-Period

5L 1M 1s: LLLsLLM / LLLMLLs

1L 5M 1s: LMMsMMM / LMMMsMM

1L 1M 5s: LsssMss / LssMsss


3L 3M 1s: LMLMLsM / LMLMLMs

3L 1M 3s: LsLsLsM / LMsLsLs

1L 3M 3s: LsMsMsM / LMsMsMs


3L 2M 2s: LMLsMLs / LMLsLMs

2L 3M 2s: LMsMLsM / LMsLMsM

2L 2M 3s: LsMLsMs / LMsLsMs


4L 2M 1s: LLMLsLM

4L 1M 2s: LLsLMLs

2L 4M 1s: LMMLMsM

2L 1M 4s: LsMsLss

1L 4M 2s: LMsMMsM

1L 2M 4s: LsMssMs


Multi-Period

(none)


8 Notes

Single-Period

(none)


Multi-Period

(none)


9 Notes

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


10 Notes

Single-Period

6L 2M 2s: LLMLLsLMLs

6L 2M 2s: LLMLsLMLLs

2L 6M 2s: LMMsMLMsMM

2L 6M 2s: LMMsMMLMsM

2L 2M 6s: LsMsLssMss

2L 2M 6s: LsMssLssMs


4L 4M 2s: LMLMLsMLMs

4L 4M 2s: LMLMsLMLsM

4L 2M 4s: LMsLsLsMLs

4L 2M 4s: LMsLsMLsLs

2L 4M 4s: LMsMLsMsMs

2L 4M 4s: LMsMsMLsMs


Multi-Period

4L 4M 2s: LMLsMLMLsM / LMLMsLMLMs

4L 2M 4s: LsLsMLsLsM / LMsLsLMsLs

2L 4M 4s: LsMsMLsMsM / LMsMsLMsMs


6L 2M 2s: LLsLMLLsLM / LLMLsLLMLs

2L 6M 2s: LMsMMLMsMM / LMMsMLMMsM

2L 2M 6s: LssMsLssMs / LsMssLsMss


4L 4M 2s: LLMsMLLMsM

4L 2M 4s: LLsMsLLsMs

4L 2M 4s: LMLssLMLss

2L 4M 4s: LMssMLMssM


11 Notes

Single-Period

9L 1M 1s: LLLLLsLLLLM / LLLLLMLLLLs

1L 9M 1s: LMMMMsMMMMM / LMMMMMsMMMM

1L 1M 9s: LsssssMssss / LssssMsssss


7L 2M 2s: LLMLLsLMLLs / LLMLLsLLMLs

2L 7M 2s: LMMsMMLMsMM / LMMsMLMMsMM

2L 2M 7s: LssMsLssMss / LsMssLssMss


5L 5M 1s: LMLMLMLMLsM / LMLMLMLMLMs

5L 1M 5s: LsLsLsLsLsM / LMsLsLsLsLs

1L 5M 5s: LsMsMsMsMsM / LMsMsMsMsMs


5L 3M 3s: LMLsLMLsMLs / LMLsLMLsLMs

3L 5M 3s: LMsMLMsMLsM / LMsLMsMLMsM

3L 3M 5s: LsMLsMsLsMs / LMsLsMsLsMs


4L 4M 3s: LMLsMLsMLMs / LMLsMLMsLMs

4L 3M 4s: LMsLsMLsMLs / LMsLMsLsMLs

3L 4M 4s: LMsMLsMLsMs / LMsLMsMLsMs


Multi-Period

(none)


12 Notes

Single-Period

4L 4M 4s: LMLsMsLMsLMs / LMLsMLsMLsMs

4L 4M 4s: LMsLsMLsMLsM / LMsLMsLMsLsM

4L 4M 4s: LMsMLsMLsMLs / LMsLMsLMsMLs


4L 4M 4s: LMLsMLsMsLMs

4L 4M 4s: LMsLMsLsMLsM

4L 4M 4s: LMsLMsMLsMLs


Multi-Period

4L 4M 4s: LsMLsMLsMLsM / LMsLMsLMsLMs


4L 4M 4s: LMLsMsLMLsMs

4L 4M 4s: LMsLsMLMsLsM

4L 4M 4s: LMsMLsLMsMLs


13 Notes

Single-Period

11L 1M 1s: LLLLLLsLLLLLM / LLLLLLMLLLLLs

1L 11M 1s: LMMMMMsMMMMMM / LMMMMMMsMMMMM

1L 1M 11s: LssssssMsssss / LsssssMssssss


9L 2M 2s: LLLsLLMLLsLLM / LLLMLLsLLMLLs

2L 9M 2s: LMMsMMLMMsMMM / LMMMsMMLMMsMM

2L 2M 9s: LssMssLsssMss / LssMssLssMsss


7L 3M 3s: LLsLMLsLMLsLM / LLMLsLMLsLMLs

3L 7M 3s: LMsMLMsMLMsMM / LMMsMLMsMLMsM

3L 3M 7s: LsMsLsMsLssMs / LsMsLsMsLsMss


6L 6M 1s: LMLMLMLMLMLsM / LMLMLMLMLMLMs

6L 1M 6s: LsLsLsLsLsLsM / LMsLsLsLsLsLs

1L 6M 6s: LsMsMsMsMsMsM / LMsMsMsMsMsMs


5L 5M 3s: LMLsMLMLsMLMs / LMLMsLMLsMLMs

5L 3M 5s: LMsLsMLsLsMLs / LMsLsLMsLsMLs

3L 5M 5s: LMsMLsMsMLsMs / LMsMLsMsLMsMs


5L 4M 4s: LMLsMLsMLsLMs / LMLsMLsLMsLMs

4L 5M 4s: LMsLMsMLsMLsM / LMsLMsLMsMLsM

4L 4M 5s: LMsLsMLsMLsMs / LMsLMsLsMLsMs


Multi-Period

(none)


14 Notes

Single-Period

10L 2M 2s: LLLMLLLsLLMLLs

10L 2M 2s: LLLMLLsLLMLLLs

2L 10M 2s: LMMMsMMMLMMsMM

2L 10M 2s: LMMMsMMLMMsMMM

2L 2M 10s: LssMssLsssMsss

2L 2M 10s: LssMsssLsssMss


6L 6M 2s: LMLMLMLsMLMLMs

6L 6M 2s: LMLMLMsLMLMLsM

6L 2M 6s: LMsLsLsLsMLsLs

6L 2M 6s: LMsLsLsMLsLsLs

2L 6M 6s: LMsMsMLsMsMsMs

2L 6M 6s: LMsMsMsMLsMsMs


6L 4M 4s: LMLsLMLsMLsLMs

6L 4M 4s: LMLsLMsLMLsMLs

4L 6M 4s: LMsLMsMLMsMLsM

4L 6M 4s: LMsLMsMLsMLMsM

4L 4M 6s: LMsLsMLsMsLsMs

4L 4M 6s: LMsLsMsLsMLsMs


Multi-Period

10L 2M 2s: LLLsLLMLLLsLLM / LLLMLLsLLLMLLs

2L 10M 2s: LMMsMMMLMMsMMM / LMMMsMMLMMMsMM

2L 2M 10s: LsssMssLsssMss / LssMsssLssMsss


6L 6M 2s: LMLMLsMLMLMLsM / LMLMLMsLMLMLMs

6L 2M 6s: LsLsLsMLsLsLsM / LMsLsLsLMsLsLs

2L 6M 6s: LsMsMsMLsMsMsM / LMsMsMsLMsMsMs


6L 4M 4s: LMLsMLsLMLsMLs / LMLsLMsLMLsLMs

4L 6M 4s: LMsMLsMLMsMLsM / LMsLMsMLMsLMsM

4L 4M 6s: LsMLsMsLsMLsMs / LMsLsMsLMsLsMs


8L 4M 2s: LLMLsLMLLMLsLM

8L 2M 4s: LLsLMLsLLsLMLs

4L 8M 2s: LMMLMsMLMMLMsM

4L 2M 8s: LsMsLssLsMsLss

2L 8M 4s: LMsMMsMLMsMMsM

2L 4M 8s: LsMssMsLsMssMs

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