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Gallery of 3-SN scales: Difference between revisions

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m added links in (2/1, 3/2, 5/4) Marvel
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Added tables for Prodigy 31
Line 901: Line 901:


====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-31|(2/1, 3/2, 5/4: 225/224, 441/440)[31]]] ([[Prodigy]])====
====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-31|(2/1, 3/2, 5/4: 225/224, 441/440)[31]]] ([[Prodigy]])====
10L 19m 2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TE
{| class="wikitable"
! Step signature
! Steps in JI
!Step sizes in cents (TE)
|-
|10L 19M 2s
|(~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54)
| (49.1533c, 33.8068c, 33.4621c)
|}


~ 50/49 22/21 16/15 12/11 9/8 8/7 7/6 6/5 27/22 5/4 14/11 21/16 4/3 15/11 7/5 10/7 22/15 3/2 32/21 11/7 8/5 44/27 5/3 12/7 7/4 16/9 11/6 15/8 21/11 49/25 2/1
~ 50/49 22/21 16/15 12/11 9/8 8/7 7/6 6/5 27/22 5/4 14/11 21/16 4/3 15/11 7/5 10/7 22/15 3/2 32/21 11/7 8/5 44/27 5/3 12/7 7/4 16/9 11/6 15/8 21/11 49/25 2/1
Line 907: Line 915:
as mLmmLmsmLmmLmmLmLmmLmmLmsmLmmLm
as mLmmLmsmLmmLmmLmLmmLmmLmsmLmmLm


m = s -> sLssLsssLssLssLsLssLssLsssLssLs Miracle[31] MODMOS; L = m -> LLLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS;
{| class="wikitable"
|+Rank-2 temperings (mode 0)
!Equivalence
!Step pattern
!Scale
!Comma list
|-
|m = s
|sLssLsssLssLssLsLssLssLsssLssLs
|Miracle[31] MODMOS
|
|-
|L = m
|LLLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL
|Tritonic[31] MODMOS
|
|-
|L = s
|sLssLsLsLssLssLsLssLssLsLsLssLs
|Meantone[31] MODMOS
|
|-
|s = 0
|mLmmLmmLmmLmmLmLmmLmmLmmLmmLm
|Negroni[29]
|
|-
|m = 0
|LLsLLLLLLsLL
|Pajaric[12] 4M (hexachordal dodecatonic)
|
|}
{| class="wikitable"
|+Rank-1 temperings
!ET
|[[41edo|41]]
|53e
|[[72edo|72]]
|-
!Step sizes in ET
|(2, 1, 1)
|(3, 1, 2)
|(3, 2, 2)
|}


L = s -> sLssLsLsLssLssLsLssLssLsLsLssLs Meantone[31] MODMOS;
s = 0 -> mLmmLmmLmmLmmLmLmmLmmLmmLmmLm Negroni[29]; m = 0 -> LLsLLLLLLsLL Pajaric[12] 4M (Hexachordal Dodecatonic)
===((2/1, 5/4)[3], 16/15)===
===((2/1, 5/4)[3], 16/15)===
====[[SNS ((2/1, 5/4)-3, 16/15)-6|((2/1, 5/4)[3], 16/15)[6]]]====
====[[SNS ((2/1, 5/4)-3, 16/15)-6|((2/1, 5/4)[3], 16/15)[6]]]====
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