Xenoindex: added stats

2021-10-22T23:06:33Z

added stats

← Older revision		Revision as of 23:06, 22 October 2021
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	I believe these are all of the strict MV3 scales with ten 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.		I believe these are all of the strict MV3 scales with ten 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:'''

			193 Scales Total

			12 Unconditional Single-Period

			161 Conditional Single-Period

			16 Unconditional Multi-Period

			4 Conditional Multi-Period

Xenoindex: fixed MMM conditional scales

2021-10-19T00:40:41Z

fixed MMM conditional scales

← Older revision		Revision as of 00:40, 19 October 2021
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	== Conditional (MMM=sLs) ==		== Conditional (MMM=sLs) ==

	'''1L 5M 2s:''' ~~LsMMMMMs~~		'''1L 7M 2s:''' LsMMMMMMMs


	== Conditional (MMM=LsL) ==		== Conditional (MMM=LsL) ==

	'''2L 5M 1s:''' ~~LMMMMMLs~~		'''2L 7M 1s:''' LMMMMMMMLs

Xenoindex: created page

2021-10-19T00:37:47Z

created page

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I believe these are all of the strict MV3 scales with ten 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.

== Unconditional ==

=== 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

== Conditional (MM=Ls) ==

=== Single-Period ===

'''1L 8M 1s:''' LMMMsMMMMM / LMMMMMsMMM

'''1L 8M 1s:''' LMMsMMMMMM / LMMMMMMsMM

'''1L 8M 1s:''' LMsMMMMMMM / LMMMMMMMsM

'''1L 8M 1s:''' LsMMMMMMMM / LMMMMMMMMs

'''7L 2M 1s:''' LLLsLLMLLM

'''1L 2M 7s:''' LssMssMsss

'''7L 2M 1s:''' LLLMLLsLLM

'''1L 2M 7s:''' LssMsssMss

'''7L 2M 1s:''' LLLMLLMLLs

'''1L 2M 7s:''' LsssMssMss

'''7L 2M 1s:''' LLLLsLLLMM

'''1L 2M 7s:''' LsssMMssss

'''7L 2M 1s:''' LLLLMMLLLs

'''1L 2M 7s:''' LssssMMsss

'''3L 6M 1s:''' LMMLMMLsMM

'''1L 6M 3s:''' LMMsMMsMMs

'''3L 6M 1s:''' LMMLMMLMsM

'''1L 6M 3s:''' LMsMMsMMsM

'''3L 6M 1s:''' LMMLMMLMMs

'''1L 6M 3s:''' LsMMsMMsMM

'''3L 6M 1s:''' LMLsMLMMMM

'''1L 6M 3s:''' LMsMMMMsMs

'''3L 6M 1s:''' LMLMsLMMMM

'''1L 6M 3s:''' LsMMMMsMsM

'''3L 6M 1s:''' LMLMMMMLsM

'''1L 6M 3s:''' LMsMsMMMMs

'''3L 6M 1s:''' LMLMMMMLMs

'''1L 6M 3s:''' LsMsMMMMsM

'''3L 6M 1s:''' LLsLMMMMMM

'''1L 6M 3s:''' LsMMMMMMss

'''3L 6M 1s:''' LLMMMMMMLs

'''1L 6M 3s:''' LssMMMMMMs

'''2L 6M 2s:''' LMMsMMLsMM / LMMsLMMsMM

'''2L 6M 2s:''' LMMMsMMLsM

'''2L 6M 2s:''' LMMsLMsMMM

'''2L 6M 2s:''' LMMMsMMLMs

'''2L 6M 2s:''' LMMsMLsMMM

'''2L 6M 2s:''' LMMMsMLsMM

'''2L 6M 2s:''' LMMsMMMLMs

'''2L 6M 2s:''' LMsMLMsMMM / LMMMsMLMsM

'''2L 6M 2s:''' LMMMsMLMMs

'''2L 6M 2s:''' LMsMMLsMMM

'''2L 6M 2s:''' LMMMsLsMMM

'''2L 6M 2s:''' LMMMsMMMLs

'''2L 6M 2s:''' LMMMsLMsMM

'''2L 6M 2s:''' LMMsMMMLsM

'''2L 6M 2s:''' LMMMsLMMsM

'''2L 6M 2s:''' LMsMMMLsMM

'''2L 6M 2s:''' LMMMMsMMLs

'''2L 6M 2s:''' LMMsLsMMMM

'''2L 6M 2s:''' LMsLMsMMMM / LMMMMsMLsM

'''2L 6M 2s:''' LMMMMsMLMs

'''2L 6M 2s:''' LMsMLsMMMM

'''2L 6M 2s:''' LMMMMsLsMM

'''2L 6M 2s:''' LMMsMMMMLs

'''2L 6M 2s:''' LMMMMsLMsM

'''2L 6M 2s:''' LMsMMMMLsM

'''2L 6M 2s:''' LsMMLsMMMM / LMMMMsLMMs

'''2L 6M 2s:''' LMMMMMsMLs

'''2L 6M 2s:''' LMsLsMMMMM

'''2L 6M 2s:''' LMMMMMsLsM

'''2L 6M 2s:''' LMsMMMMMLs

'''2L 6M 2s:''' LsMLsMMMMM / LMMMMMsLMs

'''2L 6M 2s:''' LsLsMMMMMM / LMMMMMMsLs

'''2L 6M 2s:''' LMMMLsMMMs

'''2L 6M 2s:''' LMMLsMMMMs

'''2L 6M 2s:''' LMMMMLsMMs

'''2L 6M 2s:''' LMLsMMMMMs

'''2L 6M 2s:''' LMMMMMLsMs

'''2L 6M 2s:''' LLsMMMMMMs

'''2L 6M 2s:''' LMMMMMMLss

'''5L 4M 1s:''' LLsLMLMMLM

'''1L 4M 5s:''' LsMsMMsMss

'''5L 4M 1s:''' LLMMMLMLLs

'''1L 4M 5s:''' LssMMMsMss

'''5L 4M 1s:''' LLMMMLLsLM

'''1L 4M 5s:''' LsMssMMMss

'''5L 4M 1s:''' LLMMLMLsLM

'''1L 4M 5s:''' LsMssMMsMs

'''5L 4M 1s:''' LLMMLLsLMM

'''1L 4M 5s:''' LsMMssMMss

'''5L 4M 1s:''' LLMMLLMMLs

'''1L 4M 5s:''' LssMMssMMs

'''5L 4M 1s:''' LLMLsLMLMM

'''1L 4M 5s:''' LsMsMMssMs

'''5L 4M 1s:''' LLMLsLLMMM

'''1L 4M 5s:''' LssMMMssMs

'''5L 4M 1s:''' LLMLMMMLLs

'''1L 4M 5s:''' LssMsMMMss

'''5L 4M 1s:''' LLMLMMLMLs

'''1L 4M 5s:''' LssMsMMsMs

'''5L 2M 3s:''' LLsLsLMMLs

'''3L 2M 5s:''' LsLsMMsLss

'''5L 2M 3s:''' LLsLMMLsLs

'''3L 2M 5s:''' LsLssLsMMs

'''4L 2M 4s:''' LMsLsLsLsM

'''4L 2M 4s:''' LMsMLsLsLs

'''4L 2M 4s:''' LsLsLsMLsM / LMsLMsLsLs

'''4L 2M 4s:''' LsLsLsLsMM / LMMsLsLsLs

'''4L 4M 2s:''' LMLsMLMMLs

'''2L 4M 4s:''' LMsMMsLsMs

'''4L 4M 2s:''' LMLsLMMLsM

'''2L 4M 4s:''' LMsMsLsMMs

'''4L 4M 2s:''' LMLsLMMLMs

'''2L 4M 4s:''' LsMMsMLsMs

'''4L 4M 2s:''' LMLMsLMMLs

'''2L 4M 4s:''' LsMMsLsMsM

'''3L 4M 3s:''' LMsLsMLMsM

'''3L 4M 3s:''' LMsMLMsMLs

'''3L 4M 3s:''' LMsMLsMLsM / LMsLMsLMsM

'''3L 4M 3s:''' LMMsMLsMLs

'''3L 4M 3s:''' LMsLMsLsMM

'''3L 4M 3s:''' LMsLsLMsMM / LMMsMLsLsM

'''3L 4M 3s:''' LMMsMLsLMs

'''3L 4M 3s:''' LMsLsMLsMM

'''3L 4M 3s:''' LMMsMLMsLs

'''3L 4M 3s:''' LMsMLsLsMM

'''3L 4M 3s:''' LMMsLsMLsM

'''3L 4M 3s:''' LMsLMsMMLs

'''3L 4M 3s:''' LMMsLsMLMs

'''3L 4M 3s:''' LMsMLsMMLs

'''3L 4M 3s:''' LMMsLsLsMM

'''3L 4M 3s:''' LMMsMMLsLs

'''3L 4M 3s:''' LMMsLsLMsM

'''3L 4M 3s:''' LMsMMLsLsM

'''3L 4M 3s:''' LMMsLMsMLs

'''3L 4M 3s:''' LMsLsMMLsM

'''3L 4M 3s:''' LMMsLMsLsM

'''3L 4M 3s:''' LMsMMLsMLs

'''3L 4M 3s:''' LsMLsMLsMM / LMMsLMsLMs

'''3L 4M 3s:''' LsLsMMLsMM / LMMsLMMsLs

'''3L 4M 3s:''' LMMMsMLsLs

'''3L 4M 3s:''' LMsLsLsMMM

'''3L 4M 3s:''' LMsLsMMMLs / LMMMsLsMLs

'''3L 4M 3s:''' LMMMsLsLsM

'''3L 4M 3s:''' LMsMMMLsLs

'''3L 4M 3s:''' LMMMsLsLMs

'''3L 4M 3s:''' LsLsMLsMMM

'''3L 4M 3s:''' LMMMsLMsLs

'''3L 4M 3s:''' LsLsMMMLsM

'''3L 4M 3s:''' LsLsLsMMMM / LMMMMsLsLs

=== Multi-Period ===

'''2L 6M 2s:''' LsMMMLsMMM / LMMMsLMMMs

== Conditional (Not MM=Ls) ==

=== Single-Period ===

(none)

=== Multi-Period ===

'''4L 4M 2s:''' LMMLsLMMLs

'''2L 4M 4s:''' LsMMsLsMMs

== Conditional (MMM=sLs) ==

'''1L 5M 2s:''' LsMMMMMs

== Conditional (MMM=LsL) ==

'''2L 5M 1s:''' LMMMMMLs

User:Xenoindex/Decatonic MV3 - Revision history

Xenoindex: added stats

Xenoindex: fixed MMM conditional scales

Xenoindex: created page