User:Xenoindex/Octotonic MV3: Difference between revisions
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fixed mixed up chirality |
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'''1L 2M 5s''' | '''1L 2M 5s''' | ||
LsMssMss | LssMssMs / LsMssMss | ||
LssMMsss | LsssMMss / LssMMsss | ||
'''1L 4M 3s''' | '''1L 4M 3s''' | ||
LMsMMsMs | LsMsMMsM / LMsMMsMs | ||
LMsMsMMs | LsMMsMsM / LMsMsMMs | ||
LsMMMMss | LssMMMMs / LsMMMMss | ||
'''1L 6M 1s''' | '''1L 6M 1s''' | ||
LMMMMMMs | LsMMMMMM / LMMMMMMs | ||
LMMMMMsM | LMsMMMMM / LMMMMMsM | ||
LMMMMsMM | LMMsMMMM / LMMMMsMM | ||
| Line 74: | Line 74: | ||
LMMMMLss | LMMMMLss | ||
LMMMMsLs | LsLsMMMM / LMMMMsLs | ||
LMMMsLMs | LsMLsMMM / LMMMsLMs | ||
LMMMsLsM | LMsLsMMM / LMMMsLsM | ||
LMMMsMLs | LMsMMMLs / LMMMsMLs | ||
LMMsLMsM | LMsMLsMM / LMMsLMsM | ||
LMMsLsMM | LMMsLsMM | ||
LMMsMLMs | LMsMMLsM / LMMsMLMs | ||
LMMsMLsM | LMsLMsMM / LMMsMLsM | ||
LMMsMMLs | LMMsMMLs | ||
| Line 95: | Line 95: | ||
'''3L 2M 3s''' | '''3L 2M 3s''' | ||
LMMsLsLs | LsLsLsMM / LMMsLsLs | ||
LMsLMsLs | LsLsMLsM / LMsLMsLs | ||
LMsLsLsM | LMsLsLsM | ||
| Line 106: | Line 106: | ||
'''3L 4M 1s''' | '''3L 4M 1s''' | ||
LLMMMMLs | LLsLMMMM / LLMMMMLs | ||
LMLMMLMs | LMLsMLMM / LMLMMLMs | ||
LMLMMLsM | LMLMsLMM / LMLMMLsM | ||
'''5L 2M 1s''' | '''5L 2M 1s''' | ||
LLLsLLMM | LLLMMLLs / LLLsLLMM | ||
LLMLLMLs | LLMLLsLM / LLMLLMLs | ||
Revision as of 12:31, 29 September 2021
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