@@ Line 1: / Line 1: @@
-I believe these are all of the strict MV3 scales with seven 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.
+I believe these are all of the strict MV3 scales with seven 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:'''
 Scales Total (incl. chirals)
 Scales Total (not incl. chirals)
@@ Line 12: / Line 12: @@
 Unconditional Scales (not incl. chirals)
+Conditional Scales Total (incl. chirals)
+Conditional Scales Total (not incl. chirals)
@@ Line 17: / Line 22: @@
 Conditional (MM=Ls) Scales (not incl. chirals)
+Conditional (MMM=LsL) Scale (not chiral)
@@ Line 27: / Line 35: @@
 Chiral Conditional (MM=Ls) Scales (12 pairs)
+Chiral Conditional (MMM=LsL) Scales
 Chiral Conditional (MMM=sLs) Scales
 Achiral Scales Total
 Achiral Unconditional Scales
 Achiral Conditional (MM=Ls) Scales
+Achiral Conditional (MMM=LsL) Scale
 Achiral Conditional (MMM=sLs) Scale
+== Unconditional ==
-== Unconditional ==
+=== <u>Single-Period</u> ===
-'''1L 1M 5s'''
+'''5L 1M 1s:'''
+LLLsLLM / LLLMLLs
+'''1L 5M 1s:'''
+LMMsMMM / LMMMsMM
+'''1L 1M 5s:'''
 LsssMss / LssMsss
-'''1L 5M 1s'''
-LMMsMMM / LMMMsMM
+'''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
-'''5L 1M 1s'''
+'''4L 2M 1s:'''
+LLMLsLM
-LLLsLLM / LLLMLLs
+'''4L 1M 2s:'''
+LLsLMLs
+'''2L 4M 1s:'''
+LMMLMsM
-'''1L 2M 4s'''
+'''2L 1M 4s:'''
+LsMsLss
+'''1L 4M 2s:'''
+LMsMMsM
+'''1L 2M 4s:'''
 LsMssMs
-'''1L 4M 2s'''
-LMsMMsM
+=== <u>Multi-Period</u> ===
+(none)
+== Conditional (MM=Ls) ==
+=== <u>Single-Period</u> ===
+'''<u>5-1-1 Family</u>'''
+'''1L 5M 1s:''' LMsMMMM / LMMMMsM
+'''1L 5M 1s:''' LsMMMMM / LMMMMMs
-'''2L 1M 4s'''
-LsMsLss
+'''<u>4-2-1 Family</u>'''
-'''2L 4M 1s'''
+'''2L 4M 1s:''' LMMLsMM
-LMMLMsM
+'''1L 4M 2s:''' LMMsMMs
-'''4L 1M 2s'''
-LLsLMLs
-'''4L 2M 1s'''
+'''2L 4M 1s:''' LMMLMMs
-LLMLsLM
+'''1L 4M 2s:''' LsMMsMM
-'''1L 3M 3s'''
-LsMsMsM / LMsMsMs
+'''4L 2M 1s:''' LLsLMLM
-'''3L 1M 3s'''
+'''1L 2M 4s:''' LsMsMss
-LsLsLsM / LMsLsLs
-'''3L 3M 1s'''
-LMLMLsM / LMLMLMs
+'''4L 2M 1s:''' LLMLMLs
+'''1L 2M 4s:''' LssMsMs
-'''2L 2M 3s'''
-LsMLsMs / LMsLsMs
-'''2L 3M 2s'''
+'''<u>3-3-1 Family</u>'''
-LMsMLsM / LMsLMsM
+'''3L 3M 1s:''' LLsLMMM
-'''3L 2M 2s'''
+'''1L 3M 3s:''' LsMMMss
-LMLsMLs / LMLsLMs
-== Conditional (MM=Ls) ==
+'''3L 3M 1s:''' LLMMMLs
-'''1L 5M 1s'''
+'''1L 3M 3s:''' LssMMMs
-LsMMMMM / LMMMMMs
-LMsMMMM / LMMMMsM
+'''<u>3-2-2 Family</u>'''
-'''1L 2M 4s'''
+'''2L 3M 2s:''' LMMsMLs
-LssMsMs / LsMsMss
+'''2L 3M 2s:''' LMsLsMM
-'''1L 4M 2s'''
-LsMMsMM / LMMsMMs
-'''2L 4M 1s'''
+'''2L 3M 2s:''' LMMsLsM
-LMMLsMM / LMMLMMs
+'''2L 3M 2s:''' LMsMMLs
-'''4L 2M 1s'''
-LLsLMLM / LLMLMLs
+'''2L 3M 2s:''' LsMLsMM / LMMsLMs
-'''1L 3M 3s'''
-LssMMMs / LsMMMss
+'''2L 3M 2s:''' LsLsMMM / LMMMsLs
-'''3L 3M 1s'''
-LLsLMMM / LLMMMLs
+'''2L 3M 2s:''' LMLsMMs
+'''2L 3M 2s:''' LMMLsMs
-'''2L 3M 2s'''
-LMMMLss
-LMMLsMs
+'''2L 3M 2s:''' LLsMMMs
-LMLsMMs
+'''2L 3M 2s:''' LMMMLss
-LLsMMMs
-LsLsMMM / LMMMsLs
+=== <u>Multi-Period</u> ===
-LsMLsMM / LMMsLMs
+(none)
-LMsMMLs / LMMsMLs
-LMsLsMM / LMMsLsM
+== Conditional (MMM=LsL) ==
+'''2L 4M 1s:''' LMMMMLs
 == Conditional (MMM=sLs) ==
-'''1L 4M 2s'''
+'''1L 4M 2s:''' LsMMMMs
-LsMMMMs

User:Xenoindex/Heptatonic MV3: Difference between revisions