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.


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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