User:Xenoindex/Octotonic MV3 - Revision history

Xenoindex: typo

2021-10-22T23:03:26Z

typo

← Older revision		Revision as of 23:03, 22 October 2021
Line 7:		Line 7:

	0 Unconditional Single-Period		0 Unconditional Single-Period

	55 Conditional Single-Period		55 Conditional Single-Period

	0 Unconditional Multi-Period		0 Unconditional Multi-Period

	2 Conditional Multi-Period		2 Conditional Multi-Period


	== Unconditional ==		== Unconditional ==

Xenoindex: fixed stats

2021-10-22T23:02:49Z

fixed stats

@@ Line 4: / Line 4: @@
 '''Here's some stats:'''
-Scales Total (incl. chirals)
+Scales Total
 == Unconditional ==

Xenoindex: revised description

2021-10-18T23:58:18Z

revised description

← Older revision		Revision as of 23:58, 18 October 2021
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	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. Scales are grouped into sisterhoods ~~however,~~ conditional sisterhoods appear to ~~only~~ have up to two ~~sisters unlike unconditional sisterhoods which may have up to six~~. 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 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. 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.

Xenoindex: added missing multi-period scales

2021-10-18T23:40:56Z

added missing multi-period scales

← Older revision		Revision as of 23:40, 18 October 2021
Line 1:		Line 1:
	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. Scales are grouped into ~~families and~~ sisterhoods however, conditional sisterhoods appear to only have up to two sisters unlike unconditional sisterhoods which may have up to six. 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 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. Scales are grouped into sisterhoods however, conditional sisterhoods appear to only have up to two sisters unlike unconditional sisterhoods which may have up to six. The two scales in conditional sisterhoods have their L's and s's swapped.


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	== Conditional (MM=Ls) ==		== Conditional (MM=Ls) ==

	~~'''~~<u>6-~~1-1 Family~~</u>~~'''~~		=== <u>Single-Period</u> ===

	'''1L 6M 1s:''' LMMsMMMM / LMMMMsMM		'''1L 6M 1s:''' LMMsMMMM / LMMMMsMM
Line 48:		Line 48:


	~~'''<u>5-2-1 Family</u>'''~~

	'''5L 2M 1s:''' LLMLLsLM		'''5L 2M 1s:''' LLMLLsLM
Line 73:		Line 72:



	~~'''<u>4-3-1 Family</u>'''~~

	'''3L 4M 1s:''' LMLsMLMM		'''3L 4M 1s:''' LMLsMLMM
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	~~'''<u>4-2-2 Family</u>'''~~

	'''2L 4M 2s:''' LMsLMsMM / LMMsMLsM		'''2L 4M 2s:''' LMsLMsMM / LMMsMLsM
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	~~'''<u>3-3-2 Family</u>'''~~

	'''3L 2M 3s:''' LMsLsLsM		'''3L 2M 3s:''' LMsLsLsM
Line 181:		Line 174:

	'''3L 2M 3s:''' LsLsLsMM / LMMsLsLs		'''3L 2M 3s:''' LsLsLsMM / LMMsLsLs


			=== <u>Multi-Period</u> ===

			'''2L 4M 2s:''' LsMMLsMM / LMMsLMMs

Xenoindex: updated formatting, added to description

2021-10-18T20:52:54Z

updated formatting, added to description

Show changes

Xenoindex: fixed ordering

2021-09-29T12:40:55Z

fixed ordering

← Older revision		Revision as of 12:40, 29 September 2021
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	'''1L 4M 3s'''		'''1L 4M 3s'''

			LsMMsMsM / LMsMsMMs

	LsMsMMsM / LMsMMsMs		LsMsMMsM / LMsMMsMs

	~~LsMMsMsM / LMsMsMMs~~

	LssMMMMs / LsMMMMss		LssMMMMs / LsMMMMss
Line 55:		Line 55:
	'''1L 6M 1s'''		'''1L 6M 1s'''

	~~LsMMMMMM~~ / ~~LMMMMMMs~~		LMMsMMMM / LMMMMsMM

	LMsMMMMM / LMMMMMsM		LMsMMMMM / LMMMMMsM

	~~LMMsMMMM~~ / ~~LMMMMsMM~~		LsMMMMMM / LMMMMMMs


Line 74:		Line 74:
	LMMMMLss		LMMMMLss

	~~LsLsMMMM / LMMMMsLs~~		LMMsLsMM

			LMMsMMLs

	~~LsMLsMMM~~ / ~~LMMMsLMs~~		LMsLMsMM / LMMsMLsM

	LMsLsMMM / LMMMsLsM		LMsLsMMM / LMMMsLsM

	~~LMsMMMLs / LMMMsMLs~~

	LMsMLsMM / LMMsLMsM		LMsMLsMM / LMMsLMsM

	~~LMMsLsMM~~		LMsMMLsM / LMMsMLMs

	~~LMsMMLsM~~ / ~~LMMsMLMs~~		LMsMMMLs / LMMMsMLs

	~~LMsLMsMM~~ / ~~LMMsMLsM~~		LsLsMMMM / LMMMMsLs

	~~LMMsMMLs~~		LsMLsMMM / LMMMsLMs


	'''3L 2M 3s'''		'''3L 2M 3s'''

			LMsLsLsM

			LMsMLsLs

	LsLsLsMM / LMMsLsLs		LsLsLsMM / LMMsLsLs

	LsLsMLsM / LMsLMsLs		LsLsMLsM / LMsLMsLs

	~~LMsLsLsM~~

	~~LMsMLsLs~~


Line 107:		Line 107:

	LLsLMMMM / LLMMMMLs		LLsLMMMM / LLMMMMLs

			LMLMsLMM / LMLMMLsM

	LMLsMLMM / LMLMMLMs		LMLsMLMM / LMLMMLMs

	~~LMLMsLMM / LMLMMLsM~~


	'''5L 2M 1s'''		'''5L 2M 1s'''

	LLLMMLLs ~~/ LLLsLLMM~~		LLLsLLMM / LLLMMLLs

	LLMLLsLM / LLMLLMLs		LLMLLsLM / LLMLLMLs

Xenoindex: fixed mixed up chirality

2021-09-29T12:31:38Z

fixed mixed up chirality

← Older revision		Revision as of 12:31, 29 September 2021
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	'''1L 2M 5s'''		'''1L 2M 5s'''

	LsMssMss ~~/ LssMssMs~~		LssMssMs / LsMssMss

	LssMMsss ~~/ LsssMMss~~		LsssMMss / LssMMsss


	'''1L 4M 3s'''		'''1L 4M 3s'''

	LMsMMsMs ~~/ LsMsMMsM~~		LsMsMMsM / LMsMMsMs

	LMsMsMMs ~~/ LsMMsMsM~~		LsMMsMsM / LMsMsMMs

	LsMMMMss ~~/ LssMMMMs~~		LssMMMMs / LsMMMMss


	'''1L 6M 1s'''		'''1L 6M 1s'''

	LMMMMMMs ~~/ LsMMMMMM~~		LsMMMMMM / LMMMMMMs

	LMMMMMsM ~~/ LMsMMMMM~~		LMsMMMMM / LMMMMMsM

	LMMMMsMM ~~/ LMMsMMMM~~		LMMsMMMM / LMMMMsMM


Line 74:		Line 74:
	LMMMMLss		LMMMMLss

	LMMMMsLs ~~/ LsLsMMMM~~		LsLsMMMM / LMMMMsLs

	LMMMsLMs ~~/ LsMLsMMM~~		LsMLsMMM / LMMMsLMs

	LMMMsLsM ~~/ LMsLsMMM~~		LMsLsMMM / LMMMsLsM

	LMMMsMLs ~~/ LMsMMMLs~~		LMsMMMLs / LMMMsMLs

	LMMsLMsM ~~/ LMsMLsMM~~		LMsMLsMM / LMMsLMsM

	LMMsLsMM		LMMsLsMM

	LMMsMLMs ~~/ LMsMMLsM~~		LMsMMLsM / LMMsMLMs

	LMMsMLsM ~~/ LMsLMsMM~~		LMsLMsMM / LMMsMLsM

	LMMsMMLs		LMMsMMLs
Line 95:		Line 95:
	'''3L 2M 3s'''		'''3L 2M 3s'''

	LMMsLsLs ~~/ LsLsLsMM~~		LsLsLsMM / LMMsLsLs

	LMsLMsLs ~~/ LsLsMLsM~~		LsLsMLsM / LMsLMsLs

	LMsLsLsM		LMsLsLsM
Line 106:		Line 106:
	'''3L 4M 1s'''		'''3L 4M 1s'''

	LLMMMMLs ~~/ LLsLMMMM~~		LLsLMMMM / LLMMMMLs

	LMLMMLMs ~~/ LMLsMLMM~~		LMLsMLMM / LMLMMLMs

	LMLMMLsM ~~/ LMLMsLMM~~		LMLMsLMM / LMLMMLsM


	'''5L 2M 1s'''		'''5L 2M 1s'''

	LLLsLLMM ~~/ LLLMMLLs~~		LLLMMLLs / LLLsLLMM

	LLMLLMLs ~~/ LLMLLsLM~~		LLMLLsLM / LLMLLMLs

Xenoindex: created

2021-09-29T12:03:39Z

created

New page

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'''

LsMssMss / LssMssMs

LssMMsss / LsssMMss

'''1L 4M 3s'''

LMsMMsMs / LsMsMMsM

LMsMsMMs / LsMMsMsM

LsMMMMss / LssMMMMs

'''1L 6M 1s'''

LMMMMMMs / LsMMMMMM

LMMMMMsM / LMsMMMMM

LMMMMsMM / LMMsMMMM

'''2L 4M 2s'''

LLsMMMMs

LMLsMMMs

LMMLsMMs

LMMMLsMs

LMMMMLss

LMMMMsLs / LsLsMMMM

LMMMsLMs / LsMLsMMM

LMMMsLsM / LMsLsMMM

LMMMsMLs / LMsMMMLs

LMMsLMsM / LMsMLsMM

LMMsLsMM

LMMsMLMs / LMsMMLsM

LMMsMLsM / LMsLMsMM

LMMsMMLs

'''3L 2M 3s'''

LMMsLsLs / LsLsLsMM

LMsLMsLs / LsLsMLsM

LMsLsLsM

LMsMLsLs

'''3L 4M 1s'''

LLMMMMLs / LLsLMMMM

LMLMMLMs / LMLsMLMM

LMLMMLsM / LMLMsLMM

'''5L 2M 1s'''

LLLsLLMM / LLLMMLLs

LLMLLMLs / LLMLLsLM

== Conditional (MMM=sLs) ==

'''1L 5M 2s'''

LsMMMMMs

== Conditional (MMM=LsL) ==

'''2L 5M 1s'''

LMMMMMLs