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Gallery of 3-SN scales: Difference between revisions

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→2.5.9; Starling: finished the section
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Added Ragismic and Orwellian up until 12 notes
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m = 0 -> LssLsLsLssLsLssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Andromeda[70] MODMOS
m = 0 -> LssLsLsLssLsLssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Andromeda[70] MODMOS


== 2.3.5; Starling and Luyoyo ==
== 2.3.5; Starling, Luyoyo, and Ragismic ==


=== (2/1, 3/2, 6/5) ===
=== (2/1, 3/2, 6/5) ===
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L = M -> LsLLLsL Meantone[7], M = s -> sssLsss Porcupine[7]; L = s -> LsLsLsL Dicot[7]; s = 0 -> ssLss Bug[5]
L = M -> LsLLLsL Meantone[7], M = s -> sssLsss Porcupine[7]; L = s -> LsLsLsL Dicot[7]; s = 0 -> ssLss Bug[5]


===== [[SNS (2/1, 3/2, 6/5: 126/125)-7|(2/1, 3/2, 6/5: 126/125)[7]]] =====
===== [[SNS (2/1, 3/2, 6/5: 126/125)-7|(2/1, 3/2, 6/5: 126/125)[7] (Starling)]] =====
1L 4M 2S = (~9/8, ~10/9, 27/25~15/14) = (202.4685c, 187.562c, 123.5395c) TE
1L 4M 2S = (~9/8, ~10/9, 27/25~15/14) = (202.4685c, 187.562c, 123.5395c) TE


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L = M -> LsLLLsL Meantone[7]; M = s -> sssLsss Opossum[7]; L = s -> LsLsLsL Flat[7]
L = M -> LsLLLsL Meantone[7]; M = s -> sssLsss Opossum[7]; L = s -> LsLsLsL Flat[7]


===== [[SNS (2/1, 3/2, 6/5: 100/99)-7|(2/1, 3/2, 6/5: 100/99)[7]]] =====
===== [[SNS (2/1, 3/2, 6/5: 100/99)-7|(2/1, 3/2, 6/5: 100/99)[7] (Luyoyo)]] =====
1L 4M 2S = (~9/8, 10/9~11/10, 27/25~12/11) = (209.7786c, 174.0549c, 146.6352c) TE
1L 4M 2S = (~9/8, 10/9~11/10, 27/25~12/11) = (209.7786c, 174.0549c, 146.6352c) TE


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m = s -> sLLsLsLsLLsL Meantone[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; L = s -> LLLLLsLLLLLL Ripple[12]; s = 0 -> LLLsLLLL Porcupine[8]
m = s -> sLLsLsLsLLsL Meantone[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; L = s -> LLLLLsLLLLLL Ripple[12]; s = 0 -> LLLsLLLL Porcupine[8]


===== [[SNS (2/1, 3/2, 6/5: 126/125)-12|(2/1, 3/2, 6/5: 126/125)[12]]] =====
===== [[SNS (2/1, 3/2, 6/5: 126/125)-12|(2/1, 3/2, 6/5: 126/125)[12] (Starling)]] =====
7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27) = (123.5395c, 78.929c, 64.0225c) TE
7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27) = (123.5395c, 78.929c, 64.0225c) TE


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~ 28/27 10/9 6/5 26/21 4/3 7/5 3/2 14/9 5/3 9/5 28/15 2/1 as sLLsLmLsLLsL
~ 28/27 10/9 6/5 26/21 4/3 7/5 3/2 14/9 5/3 9/5 28/15 2/1 as sLLsLmLsLLsL


m = s -> sLLsLsLsLLsL Meantone[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS
m = s -> sLLsLsLsLLsL Meanpop[12]; L = m -> sLLsLLLsLLsL MODMOS; s = 0 -> LLLsLLLL


===== [[SNS (2/1, 3/2, 6/5: 100/99)-12|(2/1, 3/2, 6/5: 100/99)[12]]] =====
===== [[SNS (2/1, 3/2, 6/5: 100/99)-12|(2/1, 3/2, 6/5: 100/99)[12] (Luyoyo)]] =====
7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) = (146.6352c, 63.1434c, 27.4197c) TE
7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) = (146.6352c, 63.1434c, 27.4197c) TE


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m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Porkypine[8]
m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Porkypine[8]


===== [[SNS (2/1, 3/2, 6/5: 56/55, 100/99)-12|(2/1, 3/2, 6/5: 56/55, 100/99)[12]]] =====
===== [[SNS (2/1, 3/2, 6/5: 56/55, 100/99)-12|(2/1, 3/2, 6/5: 56/55, 100/99)[12] (Thrasher)]] =====
7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54) = (132.5782c, 82.867c, 46.5074c) TE
7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54) = (132.5782c, 82.867c, 46.5074c) TE


Line 306: Line 306:


m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Opossum[8]
m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Opossum[8]
===== [[SNS (2/1, 3/2, 6/5: 4375/4374)-12|(2/1, 3/2, 6/5: 4375/4374)[12] (Ragismic)]] =====
7L 1m 4s = (~27/25, ~25/24, 250/243~36/35) = (133.4115c, 70.5569c, 48.8911c)
~ 27/25 10/9 6/5 35/27 4/3 36/25 3/2 81/50 5/3 9/5 35/18 2/1 as LsLLsLmLsLLs
m = s -> LsLLsLsLsLLs Falttone[12]; L = m -> LsLLsLLLsLLs MODMOS; L = s -> LLLLLLsLLLLL; s = 0 -> LLLLsLLL Hystrix[8]
==== [[SNS (2/1, 3/2, 6/5: 4375/4374)-20|(2/1, 3/2, 6/5: 4375/4374)[20] (Ragismic)]] ====
7L 12m 1s = (~21/20, 250/243~36/35, ~81/80) = (84.5204c, 48.8911c, 21.6658c)
~ 21/20 27/25 10/9 7/6 6/5 63/50 35/27 4/3 7/5 36/25 35/24 3/2 63/40 81/50 5/3 7/4 9/5 189/100 35/18 2/1 as LmmLmLmmLmsmLmmLmLmm
m = s -> LssLsLssLsssLssLsLss MODMOS; L = m -> LLLLLLLLLLsLLLLLLLLL; L = s -> LssLsLssLsLsLssLsLss MODMOS;
s = 0 -> LmmLmLmmLmmLmmLmLmm Falttone[19]; m = 0 -> LLLLsLLL Hystrix[8]
==== [[SNS (2/1, 3/2, 6/5: 3025/3024, 4375/4374)-20|(2/1, 3/2, 6/5: 3025/3024, 4375/4374)[20] (Thor)]] ====
7L 12m 1s = (~21/20, 250/243~36/35, ~81/80)
~ 21/20 27/25 10/9 7/6 6/5 63/50 35/27 4/3 7/5 36/25 35/24 3/2 63/40 81/50 5/3 7/4 9/5 121/64 35/18 2/1 as LmmLmLmmLmsmLmmLmLmm
m = s -> LssLsLssLsssLssLsLss MODMOS; L = m -> LLLLLLLLLLsLLLLLLLLL; L = s -> LssLsLssLsLsLssLsLss MODMOS;
s = 0 -> LmmLmLmmLmmLmmLmLmm; m = 0 -> LLLLsLLL
==== [[SNS (2/1, 3/2, 6/5: 3025/3024, 4375/4374)-39|(2/1, 3/2, 6/5: 3025/3024, 4375/4374)[39] (Thor)]] ====
7L 12m 20s = (~28/27, ~64/63, 81/80~245/242) = (62.8546c, 27.2253c, 21.6658c)
~ 81/80 36/35 126/121 27/25 35/32 10/9 9/8 8/7 81/70 6/5 147/121 216/175 5/4 35/27 21/16 4/3 27/20 48/35 25/18 36/25 35/24 40/27 3/2 32/21 54/35 8/5 175/108 242/147 5/3 140/81 7/4 16/9 9/5 64/35 121/63 35/18 160/81 2/1 as smsLsmsmsLsmsLsmsmsLsmsmsLsmsLsmsmsLsms
m = s -> sssLsssssLsssLsssssLsssssLsssLsssssLsss Hemiamity[39] MODMOS; L = m -> sLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLs; s = 0 -> sLssLsLssLssLsLssLs


== 2.3.5; Hemifamity ==
== 2.3.5; Hemifamity ==
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m = s -> sLssLsLsssLsLssL; L = m -> sLssLsLsLsLsLssL; L = s -> LLLLLLLLsLLLLLLL; s = 0 -> LLLsLLL; m = 0 -> sLssLsLssLsLssL
m = s -> sLssLsLsssLsLssL; L = m -> sLssLsLsLsLsLssL; L = s -> LLLLLLLLsLLLLLLL; s = 0 -> LLLsLLL; m = 0 -> sLssLsLssLsLssL


== 2.3.7 Orwellian ==
=== (2/1, 3/2, 7/6) ===
==== (2/1, 3/2, 7/6)[4] ====
1L 2m 1s = (9/7, 7/6, 8/7)
7/6 3/2 7/4 2/1 as mLms
m = s -> sLss Sempahore[4]
==== (2/1, 3/2, 7/6)[7] ====
4L 1M 2s = (8/7, 9/8, 49/48)
8/7 7/6 4/3 3/2 12/7 7/4 2/1 as LsLMLsL
L = M -> LsLLLsL Archy[5]; s = 0 -> LLsLL Semaphore[5]
==== (2/1, 3/2, 7/6: 1728/1715)[12] (Orwellian) ====
9L 1M 2s = (~10/9, 54/49~35/32, 49/48~36/35)
~ 36/35 8/7 7/6 6/5 4/3 48/35 3/2 54/35 12/7 7/4 9/5 2/1 as sLssLsMsLssL
L = M -> sLssLsLsLssL Archy[12]; M = s -> sLssLsssLssL MODMOS; s = 0 -> LLsLL Semaphore[5]
===== (2/1, 3/2, 7/6: 99/98, 385/384)[12] (Orwellian) =====
9L 1M 2s = (~10/9, 54/49~35/32~12/11, 49/48~36/35~33/32)
~ 33/32 8/7 7/6 6/5 4/3 11/8 3/2 54/35 12/7 7/4 9/5 2/1 as sLssLsMsLssL
L = M -> sLssLsLsLssL Suprapyth[12]; M = s -> sLssLsssLssL MODMOS; s = 0 -> LLsLL Pentoid[5]
===== (2/1, 3/2, 7/6: 176/175, 540/539)[12] (Guanyin) =====
9L 1M 2s = (~10/9, 54/49~35/32~11/10, 49/48~36/35~45/44)
~ 36/35 8/7 7/6 6/5 4/3 15/11 3/2 54/35 12/7 7/4 9/5 2/1 as sLssLsMsLssL
L = M -> sLssLsLsLssL Superpyth[12]; M = s -> sLssLsssLssL MODMOS
[[Category:Gallery]]
[[Category:Gallery]]
[[Category:Scales]]
[[Category:Scales]]
[[Category:Step-Nested Scales]]
[[Category:Step-Nested Scales]]
[[Category:Rank-3 scales]]
[[Category:Rank-3 scales]]
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