Gallery of 3-SN scales: Difference between revisions
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~ 16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs | ~ 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] === | === (2/1, 3/2, 5/4)[10] === | ||
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16/15 75/64 5/4 4/3 10/7 3/2 8/5 128/75 15/8 as mLmmsmmLmm | 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] | 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]''' ==== | ||
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==== '''(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) | 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 | ||
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==== '''(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) | 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 | ~ 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 | ||
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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) | 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 | ~ 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 | ||
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as mLmmLmsmLmmLmmLmLmmLmmLmsmLmmLm | as mLmmLmsmLmmLmmLmLmmLmmLmsmLmmLm | ||
tempers to sLssLsssLssLssLsLssLssLsssLssLs 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) == | ||
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75/64 5/4 3/2 8/5 15/8 2/1 as MsLsMs | 75/64 5/4 3/2 8/5 15/8 2/1 as MsLsMs | ||
tempers to LsLsLs Augmented[6], ssLsss | 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]''' ==== | ||
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16/15 75/64 5/4 4/3 3/2 8/5 128/75 15/8 2/1 as sMssLssMs | 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], 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]''' ==== | ||
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~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs | ~ 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]''' ==== | ==== '''((2/1, 5/4)[3], 16/15: 225/224, 385/384)[9]''' ==== | ||
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~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs | ~ 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] === | === ((2/1, 5/4)[3], 16/15: 225/224)[12] === | ||
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~ 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 | ~ 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 LsLLLsLLLsLLs August[12], LsLLLLLLLsLL Pajarous[12] MODMOS | |||
=== ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] === | === ((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22] === | ||
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~ 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 | ~ 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 sLssLsLsLsLsLsLsLssLsL | tempers to sLssLsLsLsLsLsLsLssLsL Pajarous[22] MODMOS, sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS | ||
== ((2/1, 3/2)[5], 16/15) == | == ((2/1, 3/2)[5], 16/15) == | ||
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~ 135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm | ~ 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]''' ==== | ==== '''((2/1, 3/2)[5], 16/15: 225/224)[10]''' ==== | ||
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~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm | ~ 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] === | === ((2/1, 3/2)[5], 16/15)[17] === | ||
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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 | 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]''' ==== | ==== '''((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 | ~ 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]''' ==== | ==== '''((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 | ~ 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 sLssLsLsLssLsLsMsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsMsLsLssLsLsLssL | |||
tempers to sLssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssL Marvolo[72] MODMOS, sLssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssL Miracle[72] MODMOS, | |||
Revision as of 14:48, 10 May 2021
See SN scale.
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 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).
(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], Antitonic[4] LsLs
(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 LsLLLsLLLsLLs August[12], LsLLLLLLLsLL Pajara[12] MODMOS
((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 LsLLLsLLLsLLs August[12], LsLLLLLLLsLL Pajarous[12] MODMOS
((2/1, 3/2)[5], 16/15: 225/224, 385/384)[22]
9L 1M 12s = (~81/77, 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 sLssLsLsLsLsLsLsLssLsL Pajarous[22] MODMOS, sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS
((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 sLssLsLsLssLsLsMsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsMsLsLssLsLsLssL
tempers to sLssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssL Marvolo[72] MODMOS, sLssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssL Miracle[72] MODMOS,