User:Xenoindex/Heptatonic MV3: Difference between revisions

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Xenoindex (talk | contribs)
more stats
Xenoindex (talk | contribs)
added a missing scale, updated stats, and reordered scales
Line 4: Line 4:
'''Here's some stats:'''
'''Here's some stats:'''


53 Scales Total (incl. chirals)
54 Scales Total (incl. chirals)


32 Scales Total (not incl. chirals)
33 Scales Total (not incl. chirals)




Line 12: Line 12:


15 Unconditional Scales (not incl. chirals)
15 Unconditional Scales (not incl. chirals)
30 Conditional Scales Total (incl. chirals)
18 Conditional Scales Total (not incl. chirals)




Line 17: Line 22:


16 Conditional (MM=Ls) Scales (not incl. chirals)
16 Conditional (MM=Ls) Scales (not incl. chirals)
1 Conditional (MMM=LsL) Scale (not chiral)




Line 27: Line 35:


24 Chiral Conditional (MM=Ls) Scales (12 pairs)
24 Chiral Conditional (MM=Ls) Scales (12 pairs)
0 Chiral Conditional (MMM=LsL) Scales


0 Chiral Conditional (MMM=sLs) Scales
0 Chiral Conditional (MMM=sLs) Scales




11 Achiral Scales Total
12 Achiral Scales Total


6 Achiral Unconditional Scales
6 Achiral Unconditional Scales


4 Achiral Conditional (MM=Ls) Scales
4 Achiral Conditional (MM=Ls) Scales
1 Achiral Conditional (MMM=LsL) Scale


1 Achiral Conditional (MMM=sLs) Scale
1 Achiral Conditional (MMM=sLs) Scale




Line 105: Line 116:


LMLsMLs / LMLsLMs
LMLsMLs / LMLsLMs


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


'''1L 5M 1s'''
'''1L 2M 4s'''


LsMMMMM / LMMMMMs
LssMsMs / LsMsMss


LMsMMMM / LMMMMsM


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


'''1L 2M 4s'''
LssMMMs / LsMMMss


LssMsMs / LsMsMss


'''1L 4M 2s'''
'''1L 4M 2s'''
Line 124: Line 133:
LsMMsMM / LMMsMMs
LsMMsMM / LMMsMMs


'''2L 4M 1s'''


LMMLsMM / LMMLMMs
'''1L 5M 1s'''
 
LMsMMMM / LMMMMsM
 
LsMMMMM / LMMMMMs
 
 
'''2L 3M 2s'''
 
LLsMMMs
 
LMLsMMs


'''4L 2M 1s'''
LMMLsMs


LLsLMLM / LLMLMLs
LMMMLss


LMsLsMM / LMMsLsM


'''1L 3M 3s'''
LMsMMLs / LMMsMLs


LssMMMs / LsMMMss
LsLsMMM / LMMMsLs


'''3L 3M 1s'''
LsMLsMM / LMMsLMs


LLsLMMM / LLMMMLs


'''2L 4M 1s'''


'''2L 3M 2s'''
LMMLsMM / LMMLMMs


LMMMLss


LMMLsMs
'''3L 3M 1s'''


LMLsMMs
LLsLMMM / LLMMMLs


LLsMMMs


LsLsMMM / LMMMsLs
'''4L 2M 1s'''


LsMLsMM / LMMsLMs
LLsLMLM / LLMLMLs


LMsMMLs / LMMsMLs
== Conditional (MMM=LsL) ==


LMsLsMM / LMMsLsM
'''2L 4M 1s'''


LMMMMLs


== Conditional (MMM=sLs) ==
== Conditional (MMM=sLs) ==

Revision as of 02:01, 30 September 2021

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.


Here's some stats:

54 Scales Total (incl. chirals)

33 Scales Total (not incl. chirals)


24 Unconditional Scales (incl. chirals)

15 Unconditional Scales (not incl. chirals)


30 Conditional Scales Total (incl. chirals)

18 Conditional Scales Total (not incl. chirals)


28 Conditional (MM=Ls) Scales (incl. chirals)

16 Conditional (MM=Ls) Scales (not incl. chirals)


1 Conditional (MMM=LsL) Scale (not chiral)


1 Conditional (MMM=sLs) Scale (not chiral)


42 Chiral Scales Total (21 pairs)

18 Chiral Unconditional Scales (9 pairs)

24 Chiral Conditional (MM=Ls) Scales (12 pairs)

0 Chiral Conditional (MMM=LsL) Scales

0 Chiral Conditional (MMM=sLs) Scales


12 Achiral Scales Total

6 Achiral Unconditional Scales

4 Achiral Conditional (MM=Ls) Scales

1 Achiral Conditional (MMM=LsL) Scale

1 Achiral Conditional (MMM=sLs) Scale


Unconditional

1L 1M 5s

LsssMss / LssMsss

1L 5M 1s

LMMsMMM / LMMMsMM

5L 1M 1s

LLLsLLM / LLLMLLs


1L 2M 4s

LsMssMs

1L 4M 2s

LMsMMsM

2L 1M 4s

LsMsLss

2L 4M 1s

LMMLMsM

4L 1M 2s

LLsLMLs

4L 2M 1s

LLMLsLM


1L 3M 3s

LsMsMsM / LMsMsMs

3L 1M 3s

LsLsLsM / LMsLsLs

3L 3M 1s

LMLMLsM / LMLMLMs


2L 2M 3s

LsMLsMs / LMsLsMs

2L 3M 2s

LMsMLsM / LMsLMsM

3L 2M 2s

LMLsMLs / LMLsLMs

Conditional (MM=Ls)

1L 2M 4s

LssMsMs / LsMsMss


1L 3M 3s

LssMMMs / LsMMMss


1L 4M 2s

LsMMsMM / LMMsMMs


1L 5M 1s

LMsMMMM / LMMMMsM

LsMMMMM / LMMMMMs


2L 3M 2s

LLsMMMs

LMLsMMs

LMMLsMs

LMMMLss

LMsLsMM / LMMsLsM

LMsMMLs / LMMsMLs

LsLsMMM / LMMMsLs

LsMLsMM / LMMsLMs


2L 4M 1s

LMMLsMM / LMMLMMs


3L 3M 1s

LLsLMMM / LLMMMLs


4L 2M 1s

LLsLMLM / LLMLMLs

Conditional (MMM=LsL)

2L 4M 1s

LMMMMLs

Conditional (MMM=sLs)

1L 4M 2s

LsMMMMs