Gallery of 3-SN scales: Difference between revisions
No edit summary |
m Changed heading levels |
||
| Line 11: | Line 11: | ||
== 2.3.5: Marvel == | == 2.3.5: Marvel == | ||
== (2/1, 3/2, 5/4) == | === (2/1, 3/2, 5/4) === | ||
=== (2/1, 3/2, 5/4)[4] === | ==== (2/1, 3/2, 5/4)[4] ==== | ||
2L 1M 1s = (5/4, 6/5, 16/15) | 2L 1M 1s = (5/4, 6/5, 16/15) | ||
| Line 20: | Line 20: | ||
tempers to LLLs Dicot[4], LsLs Antitonic[4] | tempers to LLLs Dicot[4], LsLs Antitonic[4] | ||
=== (2/1, 3/2, 5/4)[7] === | ==== (2/1, 3/2, 5/4)[7] ==== | ||
2L 1M 4s = (75/64, 9/8, 16/15) | 2L 1M 4s = (75/64, 9/8, 16/15) | ||
| Line 27: | Line 27: | ||
tempers to sLsLsLs Dicot[7], sLsssLs Mavila[7], LLLsLLL Enipucrop[7] | tempers to sLsLsLs Dicot[7], sLsssLs Mavila[7], LLLsLLL Enipucrop[7] | ||
==== '''(2/1, 3/2, 5/4: 225/224)[7]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224)[7]'''===== | ||
2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14) | 2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14) | ||
| Line 34: | Line 34: | ||
tempers to sLsLsLs Dicot[7], sLsssLs Pelogic[7], LLLsLLL Enipucrop[7] | tempers to sLsLsLs Dicot[7], sLsssLs Pelogic[7], LLLsLLL Enipucrop[7] | ||
=== (2/1, 3/2, 5/4)[10] === | ==== (2/1, 3/2, 5/4)[10] ==== | ||
2L 7m 1s = (1125/1024, 16/15, 135/128) | 2L 7m 1s = (1125/1024, 16/15, 135/128) | ||
| Line 41: | Line 41: | ||
tempers to sLsssssLss Srutal[10] MODMOS, LsLLsLLsLL Dicot[10], | tempers to sLsssssLss Srutal[10] MODMOS, LsLLsLLsLL Dicot[10], | ||
==== '''(2/1, 3/2, 5/4: 225/224)[10]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224)[10]'''===== | ||
2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20) | 2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20) | ||
| Line 48: | Line 48: | ||
tempers to sLsssssLss Pajara[10] MODMOS, LsLLsLLsLL Dicot[10] | tempers to sLsssssLss Pajara[10] MODMOS, LsLLsLLsLL Dicot[10] | ||
==== '''(2/1, 3/2, 5/4: 225/224, 385/384)[10]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224, 385/384)[10]'''===== | ||
2L 1M 7s = (35/32~49/45~12/11, 16/15~15/14, 135/128~21/20) | 2L 1M 7s = (35/32~49/45~12/11, 16/15~15/14, 135/128~21/20) | ||
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss | ~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss | ||
==== '''(2/1, 3/2, 5/4: 225/224, 441/440)[10]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224, 441/440)[10]'''===== | ||
2L 7m 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20~22/21) = (150.229c, 116.7669c, 82.9601c) | 2L 7m 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20~22/21) = (150.229c, 116.7669c, 82.9601c) | ||
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss | ~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss | ||
=== (2/1, 3/2, 5/4: 225/224)[19] === | ==== (2/1, 3/2, 5/4: 225/224)[19] ==== | ||
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49) | 10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49) | ||
| Line 65: | Line 65: | ||
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19] | tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19] | ||
==== '''(2/1, 3/2, 5/4: 225/224, 385/384)[19]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224, 385/384)[19]'''===== | ||
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49~55/54) | 10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49~55/54) | ||
| Line 72: | Line 72: | ||
tempers to LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19] | tempers to LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19] | ||
==== '''(2/1, 3/2, 5/4: 225/224, 441/440)[19]''' ==== | ====='''(2/1, 3/2, 5/4: 225/224, 441/440)[19]'''===== | ||
10L 2M 7s = (135/128~21/20~22/21, 25/24~28/27, 64/63~50/49~45/44~56/55) = (82.9601c, 67.2689c, 33.8068c) TOP | 10L 2M 7s = (135/128~21/20~22/21, 25/24~28/27, 64/63~50/49~45/44~56/55) = (82.9601c, 67.2689c, 33.8068c) TOP | ||
| Line 79: | Line 79: | ||
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negroni[19] | tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negroni[19] | ||
=== (2/1, 3/2, 5/4: 225/224, 441/440)[31] | ==== (2/1, 3/2, 5/4: 225/224, 441/440)[31] ==== | ||
10L+19m+2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TOP | 10L+19m+2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TOP | ||
| Line 88: | Line 88: | ||
tempers to sLssLsssLssLssLsLssLssLsssLssLs Miracle[31] MODMOS, LLLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS, sLssLsLsLssLssLsLssLssLsLsLssLs Meantone[31] MODMOS | tempers to sLssLsssLssLssLsLssLssLsssLssLs Miracle[31] MODMOS, LLLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS, sLssLsLsLssLssLsLssLssLsLsLssLs Meantone[31] MODMOS | ||
== ((2/1, 5/4)[3], 16/15) == | === ((2/1, 5/4)[3], 16/15) === | ||
=== ((2/1, 5/4)[3], 16/15)[6] === | ==== ((2/1, 5/4)[3], 16/15)[6] ==== | ||
1L 2M 3s = (6/5, 75/64, 16/15) | 1L 2M 3s = (6/5, 75/64, 16/15) | ||
| Line 97: | Line 97: | ||
tempers to LsLsLs Augmented[6], ssLsss Enipucrop[6], LsssLs Antitonic[6] MODMOS | tempers to LsLsLs Augmented[6], ssLsss Enipucrop[6], LsssLs Antitonic[6] MODMOS | ||
==== '''((2/1, 5/4)[3], 16/15: 225/224)[6]''' ==== | ====='''((2/1, 5/4)[3], 16/15: 225/224)[6]'''===== | ||
1L 2M 3s = (6/5, 75/64~7/6, 16/15~14/13) | 1L 2M 3s = (6/5, 75/64~7/6, 16/15~14/13) | ||
~ 7/6 5/4 3/2 8/5 15/8 2/1 as MsLsMs | ~ 7/6 5/4 3/2 8/5 15/8 2/1 as MsLsMs | ||
=== ((2/1, 5/4)[3], 16/15)[9] === | ==== ((2/1, 5/4)[3], 16/15)[9] ==== | ||
1L 2M 6s = (9/8, 1125/1024, 16/15) | 1L 2M 6s = (9/8, 1125/1024, 16/15) | ||
| Line 109: | Line 109: | ||
tempers to sLssLssLs Augmented[9], ssssLssss Negri[9], sLsssssLs Mavila[9] MODMOS | tempers to sLssLssLs Augmented[9], ssssLssss Negri[9], sLsssssLs Mavila[9] MODMOS | ||
==== '''((2/1, 5/4)[3], 16/15: 225/224)[9]''' ==== | ====='''((2/1, 5/4)[3], 16/15: 225/224)[9]'''===== | ||
1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14) | 1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14) | ||
| Line 116: | Line 116: | ||
tempers to sLssLssLs August[9], ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS | tempers to sLssLssLs August[9], ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS | ||
==== '''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]''' ==== | ====='''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]'''===== | ||
1L 2M 6s = (~9/8, 35/32~49/45~12/11, 16/15~15/14) | 1L 2M 6s = (~9/8, 35/32~49/45~12/11, 16/15~15/14) | ||
| Line 123: | Line 123: | ||
tempers to sLssLssLs August[9] , ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS | tempers to sLssLssLs August[9] , ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS | ||
=== ((2/1, 5/4)[3], 16/15: 225/224)[12] === | ==== ((2/1, 5/4)[3], 16/15: 225/224)[12] ==== | ||
9L 1M 2s = (16/15~15/14, 135/128~21/20, ~49/48) | 9L 1M 2s = (16/15~15/14, 135/128~21/20, ~49/48) | ||
| Line 130: | Line 130: | ||
tempers to LsLLLLLLLsLL Pajara[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12] | tempers to LsLLLLLLLsLL Pajara[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12] | ||
==== '''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[12]''' ==== | ====='''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[12]'''===== | ||
9L 1M 2s = (16/15~15/14, 135/128~21/20, 49/48~45/44~56/55) | 9L 1M 2s = (16/15~15/14, 135/128~21/20, 49/48~45/44~56/55) | ||
| Line 137: | Line 137: | ||
tempers to LsLLLLLLLsLL Pajarous[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12] | tempers to LsLLLLLLLsLL Pajarous[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12] | ||
=== ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] === | ==== ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] ==== | ||
9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55) | 9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55) | ||
| Line 144: | Line 144: | ||
tempers to sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS, sLssLsLsLsLsLsLsLssLsL Pajarous[22], MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22] | tempers to sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS, sLssLsLsLsLsLsLsLssLsL Pajarous[22], MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22] | ||
== ((2/1, 3/2)[5], 16/15) == | === ((2/1, 3/2)[5], 16/15) === | ||
=== ((2/1, 3/2)[5], 16/15)[10] === | ==== ((2/1, 3/2)[5], 16/15)[10] ==== | ||
2L 5m 3s = (10/9, 16/15, 135/128) | 2L 5m 3s = (10/9, 16/15, 135/128) | ||
| Line 153: | Line 153: | ||
tempers to ssLsssLsss Srutal[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS, LsLsLsLsLs Blackwood[10] | tempers to ssLsssLsss Srutal[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS, LsLsLsLsLs Blackwood[10] | ||
==== '''((2/1, 3/2)[5], 16/15: 225/224)[10]''' ==== | ====='''((2/1, 3/2)[5], 16/15: 225/224)[10]'''===== | ||
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20) | 2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20) | ||
| Line 160: | Line 160: | ||
tempers to ssLsssLsss Pajara[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS | tempers to ssLsssLsss Pajara[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS | ||
===='''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[10]'''==== | ====='''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[10]'''===== | ||
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20~22/21) = (184.0358c, 116.7669c, 82.9601c) TOP | 2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20~22/21) = (184.0358c, 116.7669c, 82.9601c) TOP | ||
| Line 167: | Line 167: | ||
tempers to ssLsssLsss Pajaric[10] MODMOS | tempers to ssLsssLsss Pajaric[10] MODMOS | ||
=== ((2/1, 3/2)[5], 16/15)[17] === | ==== ((2/1, 3/2)[5], 16/15)[17] ==== | ||
10L 2M 5s = (135/128, 256/243, 2048/2025) | 10L 2M 5s = (135/128, 256/243, 2048/2025) | ||
| Line 174: | Line 174: | ||
tempers to LsLLLsLLsLLsLLLsL Helmholtz[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS | tempers to LsLLLsLLsLLsLLLsL Helmholtz[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS | ||
==== '''((2/1, 3/2)[5], 16/15: 225/224)[17]''' ==== | ====='''((2/1, 3/2)[5], 16/15: 225/224)[17]'''===== | ||
2L 10M 5s = (256/243, 135/128~21/20, 2048/2025~50/49~64/63) | 2L 10M 5s = (256/243, 135/128~21/20, 2048/2025~50/49~64/63) | ||
| Line 181: | Line 181: | ||
tempers to LsLLLsLLsLLsLLLsL Garibaldi[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS | tempers to LsLLLsLLsLLsLLLsL Garibaldi[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS | ||
==== '''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[17]''' ==== | ====='''((2/1, 3/2)[5], 16/15: 225/224, 441/440)[17]'''===== | ||
2L 10M 5s = (256/243~35/33, 135/128~21/20~22/21, 2048/2025~50/49~64/63~45/44~56/55) = (101.0757c, 82.9601c, 33.8068c) TOP | 2L 10M 5s = (256/243~35/33, 135/128~21/20~22/21, 2048/2025~50/49~64/63~45/44~56/55) = (101.0757c, 82.9601c, 33.8068c) TOP | ||
| Line 188: | Line 188: | ||
tempers to LsLLLsLLsLLsLLLsL Andromeda[17] | tempers to LsLLLsLLsLLsLLLsL Andromeda[17] | ||
=== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[29] === | ==== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[29] ==== | ||
2L 10m 17s = (25/24~28/27, ~33/32, 2048/2025~50/49~64/63~45/44~56/55) = (67.2689c, 49.1533c, 33.8068c) TOP | 2L 10m 17s = (25/24~28/27, ~33/32, 2048/2025~50/49~64/63~45/44~56/55) = (67.2689c, 49.1533c, 33.8068c) TOP | ||
| Line 195: | Line 195: | ||
tempers to ssssssssLsssssssssssLssssssss Tritonic[29] MODMOS, sLsLssLsLsLssLsLssLsLsLssLsLs Andromeda[29], LsLsLLsLLLsLLsLsLLsLLLsLLsLsL Negroni[29] MODMOS | tempers to ssssssssLsssssssssssLssssssss Tritonic[29] MODMOS, sLsLssLsLsLssLsLssLsLsLssLsLs Andromeda[29], LsLsLLsLLLsLLsLsLLsLLLsLLsLsL Negroni[29] MODMOS | ||
=== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[41] === | ==== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[41] ==== | ||
29L 2M 10s = (2048/2025~50/49~64/63~45/44~56/55, 49/48~55/54, ~121/120) = (33.8068c, 33.4621c, 15.3465c) TOP | 29L 2M 10s = (2048/2025~50/49~64/63~45/44~56/55, 49/48~55/54, ~121/120) = (33.8068c, 33.4621c, 15.3465c) TOP | ||
| Line 202: | Line 202: | ||
tempers to LsLLLsLLLLLsLLLsLLsLLLsLLsLLLsLLLLLsLLLsL Miracle[31] MODMOS, LsLLLsLLsLLsLLLsLLsLLLsLLsLLLsLLsLLsLLLsL Andromeda[31] | tempers to LsLLLsLLLLLsLLLsLLsLLLsLLsLLLsLLLLLsLLLsL Miracle[31] MODMOS, LsLLLsLLsLLsLLLsLLsLLLsLLsLLLsLLsLLsLLLsL Andromeda[31] | ||
=== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[72] === | ==== (2/1, 3/2)[5], 16/15: 225/224, 441/440)[72] ==== | ||
29L 2M 41s = (1344/1331~1350/1331, 100/99~245/242~896/891, ~121/120) = (18.4603c, 18.1156c, 15.3465c) TOP | 29L 2M 41s = (1344/1331~1350/1331, 100/99~245/242~896/891, ~121/120) = (18.4603c, 18.1156c, 15.3465c) TOP | ||
| Line 211: | Line 211: | ||
== 2.3.5: Starling == | == 2.3.5: Starling == | ||
== (2/1, 3/2, 6/5) == | === (2/1, 3/2, 6/5) === | ||
=== (2/1, 3/2, 6/5)[4] === | ==== (2/1, 3/2, 6/5)[4] ==== | ||
1L 2M 1s = (5/4, 6/5, 10/9) | 1L 2M 1s = (5/4, 6/5, 10/9) | ||
| Line 222: | Line 222: | ||
tempers to LLLs Dicot[4], sLss Bug[4], LsLs Antitonic[4] | tempers to LLLs Dicot[4], sLss Bug[4], LsLs Antitonic[4] | ||
=== (2/1, 3/2, 6/5)[7] === | ==== (2/1, 3/2, 6/5)[7] ==== | ||
1L 4M 2S = (9/8, 10/9, 27/25) | 1L 4M 2S = (9/8, 10/9, 27/25) | ||
| Line 231: | Line 231: | ||
tempers to LsLLLsL Meantone[7], sssLsss Porcupine[7], LsLsLsL Dicot[7] | tempers to LsLLLsL Meantone[7], sssLsss Porcupine[7], LsLsLsL Dicot[7] | ||
=== (2/1, 3/2, 6/5)[12] === | ==== (2/1, 3/2, 6/5)[12] ==== | ||
7L 1m 4s = (27/25, 25/24, 250/243) | 7L 1m 4s = (27/25, 25/24, 250/243) | ||
| Line 240: | Line 240: | ||
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS, LLLLLsLLLLLL Ripple[12] | tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS, LLLLLsLLLLLL Ripple[12] | ||
==== (2/1, 3/2, 6/5: 126/125)[12] ==== | ===== (2/1, 3/2, 6/5: 126/125)[12] ===== | ||
7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27) | 7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27) | ||
| Line 249: | Line 249: | ||
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS | tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS | ||
==== (2/1, 3/2, 6/5: 100/99)[12] ==== | ===== (2/1, 3/2, 6/5: 100/99)[12] ===== | ||
7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) | 7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) | ||
| Line 258: | Line 258: | ||
tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS | tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS | ||
==== (2/1, 3/2, 6/5: 56/55, 100/99)[12] ==== | ===== (2/1, 3/2, 6/5: 56/55, 100/99)[12] ===== | ||
7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54) | 7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54) | ||
| Line 269: | Line 269: | ||
== 2.5.9: Starling == | == 2.5.9: Starling == | ||
== ((2/1, 5/4)[3], 9/8) == | === ((2/1, 5/4)[3], 9/8) === | ||
=== ((2/1, 5/4)[3], 9/8)[6] === | ==== ((2/1, 5/4)[3], 9/8)[6] ==== | ||
1L 3M 2s = (256/225, 9/8, 10/9) | 1L 3M 2s = (256/225, 9/8, 10/9) | ||
| Line 280: | Line 280: | ||
tempers to sLLLsL, ssLsss, sLsLsL | tempers to sLLLsL, ssLsss, sLsLsL | ||
==== ((2/1, 5/4)[3], 9/8: 225/224)[6] ==== | ===== ((2/1, 5/4)[3], 9/8: 225/224)[6] ===== | ||
1L 3M 2s = (~8/7, ~9/8, ~10/9) | 1L 3M 2s = (~8/7, ~9/8, ~10/9) | ||
| Line 291: | Line 291: | ||
== 2.5.9: Marvel == | == 2.5.9: Marvel == | ||
== ((2/1, 5/4)[3], 10/9) == | === ((2/1, 5/4)[3], 10/9) === | ||
=== ((2/1, 5/4)[3], 10/9)[6] === | ==== ((2/1, 5/4)[3], 10/9)[6] ==== | ||
1L 2m 3s= (144/125, 9/8, 10/9) | 1L 2m 3s= (144/125, 9/8, 10/9) | ||
| Line 302: | Line 302: | ||
tempers to ssLsss, LsLsLs, sLLLsL | tempers to ssLsss, LsLsLs, sLLLsL | ||
==== ((2/1, 5/4)[3], 10/9: 126/125)[6] ==== | ===== ((2/1, 5/4)[3], 10/9: 126/125)[6] ===== | ||
1L 2m 3s= (~8/7, ~9/8, ~10/9) | 1L 2m 3s= (~8/7, ~9/8, ~10/9) | ||
Revision as of 17:35, 20 May 2021
See SN scale and Rank-3 scales.
Scales are grouped by their germinations, the sequence of introduction of generators until 3 are reached, at which point the primitive 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of Pythagorean, Meantone, Superpyth, Mavila, and Father MOS (2-SN) scales is (2/1, 3/2). Germinations are grouped by their subgroup, and within that, by the first comma tempered out in scales evolved from the germination.
Commas tempered out are shown in their simplest basis set, as per SN labeling conventions.
Tempered scales are shown in JI as their simplest symmetric pre-image.
Scales are written in JI and as step patterns in their symmetric mode (scales of odd cardinality) or in the even-symmetric mode: the mode symmetric without 2/1 (scales of even cardinality).
2.3.5: Marvel
(2/1, 3/2, 5/4)
(2/1, 3/2, 5/4)[4]
2L 1M 1s = (5/4, 6/5, 16/15)
5/4 3/2 15/8 2/1 as LMLs
tempers to LLLs Dicot[4], LsLs Antitonic[4]
(2/1, 3/2, 5/4)[7]
2L 1M 4s = (75/64, 9/8, 16/15)
16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs
tempers to sLsLsLs Dicot[7], sLsssLs Mavila[7], LLLsLLL Enipucrop[7]
(2/1, 3/2, 5/4: 225/224)[7]
2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14)
~ 16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs
tempers to sLsLsLs Dicot[7], sLsssLs Pelogic[7], LLLsLLL Enipucrop[7]
(2/1, 3/2, 5/4)[10]
2L 7m 1s = (1125/1024, 16/15, 135/128)
16/15 75/64 5/4 4/3 10/7 3/2 8/5 128/75 15/8 as mLmmsmmLmm
tempers to sLsssssLss Srutal[10] MODMOS, LsLLsLLsLL Dicot[10],
(2/1, 3/2, 5/4: 225/224)[10]
2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20)
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as mLmmsmmLmm
tempers to sLsssssLss Pajara[10] MODMOS, LsLLsLLsLL Dicot[10]
(2/1, 3/2, 5/4: 225/224, 385/384)[10]
2L 1M 7s = (35/32~49/45~12/11, 16/15~15/14, 135/128~21/20)
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss
(2/1, 3/2, 5/4: 225/224, 441/440)[10]
2L 7m 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20~22/21) = (150.229c, 116.7669c, 82.9601c)
~ 16/15 7/6 5/4 4/3 10/7 3/2 8/5 7/4 15/8 as sLssMssLss
(2/1, 3/2, 5/4: 225/224)[19]
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49)
~ 21/20 16/15 9/8 8/7 6/5 5/4 21/16 4/3 7/5 10/7 3/2 32/21 8/5 5/3 7/4 15/8 40/21 as LsLsLMLsLsLsLMLsLsL
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]
(2/1, 3/2, 5/4: 225/224, 385/384)[19]
10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49~55/54)
~ 21/20 16/15 9/8 8/7 6/5 5/4 21/16 4/3 7/5 10/7 3/2 32/21 8/5 5/3 7/4 15/8 40/21 as LsLsLMLsLsLsLMLsLsL
tempers to LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negri[19]
(2/1, 3/2, 5/4: 225/224, 441/440)[19]
10L 2M 7s = (135/128~21/20~22/21, 25/24~28/27, 64/63~50/49~45/44~56/55) = (82.9601c, 67.2689c, 33.8068c) TOP
~ 21/20 16/15 9/8 8/7 6/5 5/4 21/16 4/3 7/5 10/7 3/2 32/21 8/5 5/3 7/4 15/8 40/21 as LsLsLMLsLsLsLMLsLsL
tempers to LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS, LsLsLsLsLsLsLsLsLsL Negroni[19]
(2/1, 3/2, 5/4: 225/224, 441/440)[31]
10L+19m+2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TOP
~ 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
as mLmmLmsmLmmLmmLmLmmLmmLmsmLmmLm
tempers to sLssLsssLssLssLsLssLssLsssLssLs Miracle[31] MODMOS, LLLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS, sLssLsLsLssLssLsLssLssLsLsLssLs Meantone[31] MODMOS
((2/1, 5/4)[3], 16/15)
((2/1, 5/4)[3], 16/15)[6]
1L 2M 3s = (6/5, 75/64, 16/15)
75/64 5/4 3/2 8/5 15/8 2/1 as MsLsMs
tempers to LsLsLs Augmented[6], ssLsss Enipucrop[6], LsssLs Antitonic[6] MODMOS
((2/1, 5/4)[3], 16/15: 225/224)[6]
1L 2M 3s = (6/5, 75/64~7/6, 16/15~14/13)
~ 7/6 5/4 3/2 8/5 15/8 2/1 as MsLsMs
((2/1, 5/4)[3], 16/15)[9]
1L 2M 6s = (9/8, 1125/1024, 16/15)
16/15 75/64 5/4 4/3 3/2 8/5 128/75 15/8 2/1 as sMssLssMs
tempers to sLssLssLs Augmented[9], ssssLssss Negri[9], sLsssssLs Mavila[9] MODMOS
((2/1, 5/4)[3], 16/15: 225/224)[9]
1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14)
~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs
tempers to sLssLssLs August[9], ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS
((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]
1L 2M 6s = (~9/8, 35/32~49/45~12/11, 16/15~15/14)
~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs
tempers to sLssLssLs August[9] , ssssLssss Negri[9], sLsssssLs Pelogic[9] MODMOS
((2/1, 5/4)[3], 16/15: 225/224)[12]
9L 1M 2s = (16/15~15/14, 135/128~21/20, ~49/48)
~ 16/15 35/32 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLMLLLsLL
tempers to LsLLLLLLLsLL Pajara[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12]
((2/1, 5/4)[3], 16/15: 225/224, 385/384)[12]
9L 1M 2s = (16/15~15/14, 135/128~21/20, 49/48~45/44~56/55)
~ 16/15 12/11 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLMLLLsLL
tempers to LsLLLLLLLsLL Pajarous[12] MODMOS, LsLLLsLLLsLLs August[12], sssssLssssss Passion[12]
((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22]
9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55)
~ 49/48 16/15 12/11 10/9 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as sLssLsLsLsmsLsLsLssLsL
tempers to sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS, sLssLsLsLsLsLsLsLssLsL Pajarous[22], MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22]
((2/1, 3/2)[5], 16/15)
((2/1, 3/2)[5], 16/15)[10]
2L 5m 3s = (10/9, 16/15, 135/128)
~ 135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
tempers to ssLsssLsss Srutal[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS, LsLsLsLsLs Blackwood[10]
((2/1, 3/2)[5], 16/15: 225/224)[10]
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20)
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
tempers to ssLsssLsss Pajara[10] MODMOS, sLLLsLLLsL Dicot[10] MODMOS
((2/1, 3/2)[5], 16/15: 225/224, 441/440)[10]
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20~22/21) = (184.0358c, 116.7669c, 82.9601c) TOP
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
tempers to ssLsssLsss Pajaric[10] MODMOS
((2/1, 3/2)[5], 16/15)[17]
10L 2M 5s = (135/128, 256/243, 2048/2025)
135/128 16/15 9/8 32/27 5/4 81/64 4/3 45/32 64/45 3/2 128/81 8/5 27/16 16/9 15/8 256/135 2/1 as LsLmLsLLsLLsLmLsL
tempers to LsLLLsLLsLLsLLLsL Helmholtz[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS
((2/1, 3/2)[5], 16/15: 225/224)[17]
2L 10M 5s = (256/243, 135/128~21/20, 2048/2025~50/49~64/63)
~ 21/20 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 40/21 2/1 as LsLmLsLLsLLsLmLsL
tempers to LsLLLsLLsLLsLLLsL Garibaldi[17], LsLsLsLLsLLsLsLsL Dicot[17] MODMOS
((2/1, 3/2)[5], 16/15: 225/224, 441/440)[17]
2L 10M 5s = (256/243~35/33, 135/128~21/20~22/21, 2048/2025~50/49~64/63~45/44~56/55) = (101.0757c, 82.9601c, 33.8068c) TOP
~ 22/21 16/15 9/8 32/27 5/4 81/64 4/3 7/5 10/7 3/2 128/81 8/5 27/16 16/9 15/8 21/11 2/1 as LsLmLsLLsLLsLmLsL
tempers to LsLLLsLLsLLsLLLsL Andromeda[17]
(2/1, 3/2)[5], 16/15: 225/224, 441/440)[29]
2L 10m 17s = (25/24~28/27, ~33/32, 2048/2025~50/49~64/63~45/44~56/55) = (67.2689c, 49.1533c, 33.8068c) TOP
~ 50/49 22/21 16/15 11/10 9/8 8/7 33/28 6/5 5/4 14/11 21/16 4/3 15/11 7/5 10/7 22/15 3/2 32/21 11/7 8/5 5/3 56/33 7/4 16/9 20/11 15/8 21/11 49/25 2/1 as smsmssmsLsmssmsmssmsLsmssmsms
tempers to ssssssssLsssssssssssLssssssss Tritonic[29] MODMOS, sLsLssLsLsLssLsLssLsLsLssLsLs Andromeda[29], LsLsLLsLLLsLLsLsLLsLLLsLLsLsL Negroni[29] MODMOS
(2/1, 3/2)[5], 16/15: 225/224, 441/440)[41]
29L 2M 10s = (2048/2025~50/49~64/63~45/44~56/55, 49/48~55/54, ~121/120) = (33.8068c, 33.4621c, 15.3465c) TOP
~ 50/49 33/32 22/21 16/15 12/11 11/10 9/8 8/7 7/6 32/27 40/33 11/9 5/4 14/11 128/99 21/16 4/3 15/11 11/8 7/5 10/7 16/11 22/15 3/2 32/16 99/64 11/7 8/5 18/11 33/20 27/16 12/7 7/4 16/9 20/11 11/6 15/8 21/11 64/33 49/25 2/1 as LsLLLsLLMLLsLLLsLLsLLLsLLsLLLsLLMLLsLLLsL
tempers to LsLLLsLLLLLsLLLsLLsLLLsLLsLLLsLLLLLsLLLsL Miracle[31] MODMOS, LsLLLsLLsLLsLLLsLLsLLLsLLsLLLsLLsLLsLLLsL Andromeda[31]
(2/1, 3/2)[5], 16/15: 225/224, 441/440)[72]
29L 2M 41s = (1344/1331~1350/1331, 100/99~245/242~896/891, ~121/120) = (18.4603c, 18.1156c, 15.3465c) TOP
as LssLsLsLssLsLsMsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsMsLsLssLsLsLssLs
tempers to LssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssLs Marvolo[72] MODMOS, LssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Miracle[72] MODMOS
2.3.5: Starling
(2/1, 3/2, 6/5)
(2/1, 3/2, 6/5)[4]
1L 2M 1s = (5/4, 6/5, 10/9)
6/5 3/2 9/5 2/1
as MLMs
tempers to LLLs Dicot[4], sLss Bug[4], LsLs Antitonic[4]
(2/1, 3/2, 6/5)[7]
1L 4M 2S = (9/8, 10/9, 27/25)
10/9 6/5 4/3 3/2 5/3 9/5 2/1
as MsMLMsM
tempers to LsLLLsL Meantone[7], sssLsss Porcupine[7], LsLsLsL Dicot[7]
(2/1, 3/2, 6/5)[12]
7L 1m 4s = (27/25, 25/24, 250/243)
250/243 10/9 6/5 100/81 4/3 25/18 3/2 125/81 5/3 9/5 50/27 2/1
as sLLsLmLsLLsL
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS, LLLLLsLLLLLL Ripple[12]
(2/1, 3/2, 6/5: 126/125)[12]
7L 1m 4s = (27/25~15/14, 25/24~21/20, 250/243~28/27)
~ 28/27 10/9 6/5 56/45 4/3 7/5 3/2 14/9 5/3 9/5 28/15 2/1
as sLLsLmLsLLsL
tempers to sLLsLsLsLLsL Meantone[12], sLLsLLLsLLsL Diminished[12] MODMOS
(2/1, 3/2, 6/5: 100/99)[12]
7L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54)
~ 55/54 10/9 6/5 11/9 4/3 11/8 3/2 55/36 5/3 9/5 11/6 2/1
as sLLsLmLsLLsL
tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS
(2/1, 3/2, 6/5: 56/55, 100/99)[12]
7L 1m 4s = (27/25~15/14~12/11, 25/24~21/20~33/32, 250/243~28/27~55/54)
~ 28/27 10/9 6/5 11/9 4/3 7/5 3/2 14/9 5/3 9/5 11/6 2/1
as sLLsLmLsLLsL
tempers to sLLsLsLsLLsL Meanenneadecal[12], sLLsLLLsLLsL Diminished[12] MODMOS
2.5.9: Starling
((2/1, 5/4)[3], 9/8)
((2/1, 5/4)[3], 9/8)[6]
1L 3M 2s = (256/225, 9/8, 10/9)
10/9 5/4 64/45 8/5 16/9 2/1
as sMLMsM
tempers to sLLLsL, ssLsss, sLsLsL
((2/1, 5/4)[3], 9/8: 225/224)[6]
1L 3M 2s = (~8/7, ~9/8, ~10/9)
~ 10/9 5/4 10/7 8/5 16/9 2/1
as sMLMsM
tempers to sLLLsL, ssLsss, sLsLsL
2.5.9: Marvel
((2/1, 5/4)[3], 10/9)
((2/1, 5/4)[3], 10/9)[6]
1L 2m 3s= (144/125, 9/8, 10/9)
9/8 5/4 36/25 8/5 9/5 2/1
as msLsms
tempers to ssLsss, LsLsLs, sLLLsL
((2/1, 5/4)[3], 10/9: 126/125)[6]
1L 2m 3s= (~8/7, ~9/8, ~10/9)
~ 9/8 5/4 10/7 8/5 9/5 2/1
as msLsms
tempers to ssLsss, LsLsLs, sLLLsL