Xenharmonic Wiki

Gallery of 3-SN scales

Revision as of 10:13, 6 February 2022 by Lhearne (talk | contribs) (→2.3.5; Marvel: Changed 'tempers to'; added tempering steps to 0)

See SN scale and Rank 3 scale.

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, for scales of even cardinality, mostly 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

L = M -> LLLs Dicot[4]; M = s -> LsLs Antitonic[4]; s = 0 -> LsL Father[3]

(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

L = M -> sLsLsLs Dicot[7]; M = s -> sLsssLs Mavila[7]; L = s -> LLLsLLL Enipucrop[7]; s = 0 -> LsL Father[3]

(2/1, 3/2, 5/4: 225/224)[7]

2L 1M 4s = (75/64~7/6, ~9/8, 16/15~15/14) = (267.8165c, 200.9152c, 116.0124c) TE

~ 16/15 5/4 4/3 3/2 8/5 15/8 as sLsMsLs

L = M -> sLsLsLs Dicot[7]; M = s -> sLsssLs Pelogic[7], L = s -> 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 45/32 3/2 8/5 128/75 15/8 as mLmmsmmLmm

m = s -> sLsssssLss Srutal[10] MODMOS; L = m -> LsLLsLLsLL Dicot[10]; s = 0 -> sLssssLss Mavila[9]; ; m = 0 -> LsL Father[3]

(2/1, 3/2, 5/4: 225/224)[10]

2L 7M 1s = (35/32~49/45, 16/15~15/14, 135/128~21/20) = (151.8041c, 116.0124c, 84.9028c) TE

~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 as mLmmsmmLmm

m = s -> sLsssssLss Pajara[10] MODMOS; L = m -> LsLLsLLsLL Dicot[10]; s = 0 -> sLssssLss Pelogic[9]

(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) = (151.4797c, 116.1327c, 84.7519c) TE

~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 as mLmmsmmLmm

(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) TE

~ 16/15 7/6 5/4 4/3 7/5 3/2 8/5 7/4 15/8 as mLmmsmmLmm

(2/1, 3/2, 5/4: 225/224)[19]

10L 2M 7s = (135/128~21/20, 25/24~28/27, 64/63~50/49) = (84.9028c, 66.9013c, 31.1096c) TE

~ 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

L = M -> LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS; M = s -> LsLsLsLsLsLsLsLsLsL Negri[19];

s = 0 -> LLLsLLLLsLLL Pajara[12] 4M (Hexachordal Dodecatonic); m = 0 -> LsLsLLsLsLsLLsLsL Sharp [17]

(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) = (84.7519c, 66.7278c, 31.3808c) TE

~ 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

L = M -> LsLsLLLsLsLsLLLsLsL Meanpop[19] MODMOS; M = s -> LsLsLsLsLsLsLsLsLsL Negri[19]; s = 0 -> LLLsLLLLsLLL Pajarous[12] 4M (Hexachordal Dodecatonic)

(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) TE

~ 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

L = M -> LsLsLLLsLsLsLLLsLsL Meantone[19] MODMOS; M = s -> LsLsLsLsLsLsLsLsLsL Negroni[19]; s = 0 -> LLLsLLLLsLLL Pajaric[12] 4M (Hexachordal Dodecatonic)

(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) TE

~ 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

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)

((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

L = M -> LsLsLs Augmented[6]; M = s -> ssLsss Enipucrop[6]; L = s -> LsssLs Antitonic[6] MODMOS; s = 0 -> LsL Father[3]

((2/1, 5/4)[3], 16/15: 225/224)[6]

1L 2M 3s = (6/5, 75/64~7/6, 16/15~15/14) = (316.9276c, 267.8165c, 116.0124c) TE

~ 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

L = M -> sLssLssLs Augmented[9]; M = s -> ssssLssss Negri[9]; L = s -> sLsssssLs Mavila[9] MODMOS; s = 0 -> LsL Father[3]; m = 0 -> sssLsss Eunipucrop[7]

((2/1, 5/4)[3], 16/15: 225/224)[9]

1L 2M 6s = (~9/8, 35/32~49/45, 16/15~15/14) = (200.9152c, 151.8041c, 116.0124c) TE

~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs

L = M -> to sLssLssLs August[9]; M = s -> ssssLssss Negri[9]; L = s -> 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) = (200.8846c, 151.4797c, 116.1327c) TE

~ 16/15 7/6 5/4 4/3 3/2 8/5 12/7 15/8 2/1 as sMssLssMs

L = M -> sLssLssLs August[9]; M = s -> ssssLssss Negri[9], L = s -> 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) = (116.0124c, 84.9028c, 35.7917c) TE

~ 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

L = M -> LsLLLLLLLsLL Pajara[12] MODMOS; M = s -> LsLLLsLLLsLLs August[12]; L = s -> sssssLssssss Passion[12];

s = 0 -> LLLLsLLLLL Negri[10]; M = 0 -> LsLLLLLLsLL Pelogic[11] 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) = (116.1327c, 84.7519c, 35.347c) TE

~ 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

L = M -> LsLLLLLLLsLL Pajarous[12] MODMOS; M = s -> LsLLLsLLLsLLs August[12]; L = s -> sssssLssssss Passion[12]; s = 0 -> LLLLsLLLLL Negri[10]

((2/1, 5/4)[3], 16/15: 225/224, 385/384)[22]

9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55) = (80.7857c, 49.4049c, 35.347c) TE

~ 49/48 16/15 12/11 49/44 7/6 105/88 5/4 14/11 4/3 15/11 7/5 63/44 3/2 49/32 8/5 18/11 12/7 7/4 98/55 15/8 21/11 2/1 as sLssLsLsLsmsLsLsLssLsL

m = s -> sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS; L = m -> sLssLsLsLsLsLsLsLssLsL Pajarous[22]; L = s -> MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22];

s = 0 -> LLLLsLLLLL Negri[10]

((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

m = s -> ssLsssLsss Srutal[10] MODMOS; L = m -> sLLLsLLLsL Dicot[10] MODMOS; L = s -> LsLsLsLsLs Blackwood[10]; s = 0 -> sLssLss Mavila[9]; m =0 -> sLsLs Father[5]

((2/1, 3/2)[5], 16/15: 225/224)[10]

2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20) = (182.9137c, 116.0124c, 84.9028c) TE

~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm

m = s -> to ssLsssLsss Pajara[10] MODMOS; L = m -> sLLLsLLLsL Dicot[10] MODMOS; s = 0 -> sLssLss Pelogic[9]

((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) TE

~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm

m = s -> 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

L = M -> to LsLLLsLLsLLsLLLsL Helmholtz[17]; M = s -> LsLsLsLLsLLsLsLsL Dicot[17] MODMOS;

s = 0 -> LLsLLLLLLsLL Srutal[12] 4M (Hexachordal Dodecatonic); M = 0 -> LsLLsLLsLLsLLsL Blackwood[15]

((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) = (98.0109c, 84.9028c, 31.1096)  TE

~ 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 MsMLMsMMsMMsMLMsM

L = M -> LsLLLsLLsLLsLLLsL Garibaldi[17]; M = s -> LsLsLsLLsLLsLsLsL Dicot[17] MODMOS;

s = 0 -> LLsLLLLLLsLL Pajara[12] 4M (Hexachordal Dodecatonic)

((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) TE

~ 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

L = M -> to LsLLLsLLsLLsLLLsL Andromeda[17]; s = 0 -> s = 0 -> LLsLLLLLLsLL Pajaric[12] 4M (Hexachordal Dodecatonic)

((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) TE

~ 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

m = s -> ssssssssLsssssssssssLssssssss Tritonic[29] MODMOS; L = m -> sLsLssLsLsLssLsLssLsLsLssLsLs Andromeda[29];

L = s -> LsLsLLsLLLsLLsLsLLsLLLsLLsLsL Negroni[29] MODMOS; s = 0 -> LLLsLLLLsLLL Pajaric[12] 4M (Hexachordal Dodecatonic)

((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) TE

~ 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

L = M -> LsLLLsLLLLLsLLLsLLsLLLsLLsLLLsLLLLLsLLLsL Miracle[31] MODMOS; M = s -> LsLLLsLLsLLsLLLsLLsLLLsLLsLLLsLLsLLsLLLsL Andromeda[31];

s = 0 -> LLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS; m = 0 -> LsLLLsLLLLsLLLsLLsLLLsLLsLLLsLLLLLsLLLsL Negroni[39] MODMOS

((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) TE

as LssLsLsLssLsLsMsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsMsLsLssLsLsLssLs

L = M -> LssLsLsLssLsLsLsLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsLsLsLssLsLsLssLs Marvolo[72] MODMOS;

M = s -> LssLsLsLssLsLsssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Miracle[72] MODMOS;

s = 0 -> LLLLLLsLLLLLLLLLLLLLLLLLsLLLLLL Tritonic[31] MODMOS;

m = 0 -> LssLsLsLssLsLssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Andromeda[70] MODMOS

2.3.5; Starling and Luyoyo

(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: 126/125)[7]

1L 4M 2S = (~9/8, ~10/9, 27/25~15/14) = (202.4685c, 187.562c, 123.5395c) TE

~ 10/9 6/5 4/3 3/2 5/3 9/5 2/1 as MsMLMsM

tempers to LsLLLsL Meantone[7], sssLsss Opossum[7], LsLsLsL Flat[7]

(2/1, 3/2, 6/5: 100/99)[7]

1L 4M 2S = (~9/8, 10/9~11/10, 27/25~12/11) = (209.7786c, 174.0549c, 146.6352c) TE

~ 10/9 6/5 4/3 3/2 5/3 9/5 2/1 as msmLmsm

tempers to sssLsss Porcupine[7], LsLLLsL Meanenneadecal[7], LsLsLsL Flat[7]

(2/1, 3/2, 6/5: 56/55, 100/99)[7]

1L 4M 2S = (~9/8, 10/9~11/10, 27/25~15/14~12/11) = (215.4452c, 179.0856c, 132.5782c) TE

~ 10/9 6/5 4/3 3/2 5/3 9/5 2/1 as MsMLMsM

tempers to LsLLLsL Meanenneadecal[7], sssLsss Opossum[7], LsLsLsL Flat[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) = (123.5395c, 78.929c, 64.0225c) TE

~ 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: 126/125, 196/195)[12]

7L 1m 4s = (27/25~15/14~14/13, 25/24~21/20, 250/243~28/27~65/63) = (123.5395c, 78.929c, 64.0225c) TE

~ 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

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) = (146.6352c, 63.1434c, 27.4197c) TE

~ 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) = (132.5782c, 82.867c, 46.5074c) TE

~ 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

2.3.5; Hemifamity

((2/1, 3/2)[5], 10/9)

((2/1, 3/2)[5], 10/9)[10]

5L 2M 3s = (10/9, 16/15, 81/80)

81/80 9/8 6/5 4/3 27/20 3/2 8/5 16/9 9/5 2/1 as sLMLsLMLsL

tempers to sLLLsLLLsL Dicot[10] MOSMOS, sLsLsLsLsL Blackwood[10], ssLsssLsss Supersharp[10] MODMOS

((2/1, 3/2)[5], 10/9: 5120/5103)[17]

5L 2m 10s = (~35/32, 256/243~21/20, 81/80~64/63) = (153.2376c, 85.8342c, 24.4931c) TE

~ 64/63 10/9 9/8 32/27 6/5 21/16 4/3 27/20 40/27 3/2 32/21 5/3 27/16 16/9 9/5 63/32 2/1 as sLsmsLssLssLsmsLs

tempers to sLsssLssLssLsssLs, sLsLsLssLssLsLsLs, sssLsssssssssLsss

((2/1, 3/2)[5], 10/9: 385/384, 2200/2187)[17]

5L 2m 10s = (35/32~12/11, 256/243~21/20, 81/80~64/63~55/54) = (156.6236c, 85.7981c, 26.2356c) TE

~ 64/63 10/9 9/8 32/27 6/5 21/16 4/3 27/20 40/27 3/2 32/21 5/3 27/16 16/9 9/5 63/32 2/1 as sLsmsLssLssLsmsLs

tempers to sLsssLssLssLsssLs, sLsLsLssLssLsLsLs, sssLsssssssssLsss

((2/1, 3/2)[5], 10/9: 5120/5103)[24]

5L 2m 17s = (~175/162, ~28/27, 81/80~64/63) = (132.1305c, 61.3411c, 24.4931c) TE

~ 64/63 35/32 10/9 9/8 7/6 32/27 6/5 35/27 21/16 4/3 27/20 35/24 40/27 3/2 32/21 105/64 5/3 27/16 7/4 16/9 9/5 35/18 63/32 2/1 as sLssmssLsssLsssLssmssLss

tempers to sLsssssLsssLsssLsssssLss Immunity[24] MODMOS, sLssLssLsssLsssLssLssLss, LLLLsLLLLLLLLLLLLLsLLLLL

((2/1, 3/2)[5], 10/9: 385/384, 2200/2187)[24]

5L 2m 17s = (~175/162, ~28/27, 81/80~64/63~55/54) = (127.002c, 59.5625c, 26.2356c) TE

~ 64/63 12/11 10/9 9/8 7/6 32/27 6/5 35/27 21/16 4/3 27/20 16/11 40/27 3/2 32/21 18/11 5/3 27/16 7/4 16/9 9/5 35/18 63/32 2/1 as sLssmssLsssLsssLssmssLss

tempers to sLsssssLsssLsssLsssssLss Immunity[24] MODMOS, sLssLssLsssLsssLssLssLss, LLLLsLLLLLLLLLLLLLsLLLLL

((2/1, 3/2)[5], 10/9: 5120/5103)[31]

5L 2m 24s = (~1225/1152, ~49/48, 81/80~64/63) = (107.6374c, 36.848c, 24.4931c) TE

~ 64/63 36/35 35/32 10/9 9/8 8/7 7/6 32/27 6/5 128/105 35/27 21/16 4/3 27/20 48/35 35/24 40/27 3/2 32/21 54/35 105/64 5/3 27/16 12/7 7/4 16/9 9/5 64/35 35/18 63/32 2/1 as ssLsssmsssLssssLssssLsssmsssLss

tempers to ssLsssssssLssssLssssLsssssssLss Rodan[31] MODMOS, ssLsssLsssLssssLssssLsssLsssLss, LLLLLLsLLLLLLLLLLLLLLLLsLLLLLLL

((2/1, 3/2)[5], 10/9: 385/384, 2200/2187)[31]

5L 2m 24s = (~35/33, 49/48~56/55, 81/80~64/63~55/54) = (100.7664c, 33.3269c, 26.2356c) TE

~ 64/63 36/35 12/11 10/9 9/8 8/7 7/6 32/27 6/5 11/9 35/27 21/16 4/3 27/20 11/8 16/11 40/27 3/2 32/21 54/35 18/11 5/3 27/16 12/7 7/4 16/9 9/5 11/6 35/18 63/32 2/1 as ssLsssmsssLssssLssssLsssmsssLss

tempers to ssLsssssssLssssLssssLsssssssLss Rodan[31] MODMOS, ssLsssLsssLssssLssssLsssLsssLss, LLLLLLsLLLLLLLLLLLLLLLLsLLLLLLL

((2/1, 3/2)[12], 81/80), ((2/1, 3/2)[12], 64/63)

((2/1, 3/2)[12], 64/63: 5120/5013)[24]

5L 7M 12s = (~135/128, ~28/27, 81/80~64/63) = (95.2825c, 61.3411c, 24.4931c) TE

~ 64/63 15/14 243/224 9/8 8/7 32/27 6/5 81/64 9/7 4/3 27/20 10/7 81/56 3/2 32/21 45/28 80/49 27/16 12/7 16/9 9/5 243/128 27/14 2/1 as sLsMsMsLsMsLsMsLsMsMsLsM

tempers to sLsLsLsLsLsLsLsLsLsLsLsLsL, sLsssssLsssLsssLsssssLss Immunity[24] MODMOS, sssLsLsssLsssLsssLsLsssL

((2/1, 3/2)[12], 64/63: 441/440, 896/891)[24]

5L 7M 12s = (135/128~35/33, 28/27~33/32, 81/80~64/63~99/98) = (97.5911c, 58.2557c, 25.3165c) TE

~ 64/63 15/14 12/11 9/8 8/7 32/27 6/5 14/11 9/7 4/3 27/20 10/7 16/11 3/2 32/21 45/28 18/11 27/16 12/7 16/9 9/5 12/11 27/14 2/1 as sLsMsMsLsMsLsMsLsMsMsLsM

tempers to sLsLsLsLsLsLsLsLsLsLsLsLsL, sLsssssLsssLsssLsssssLss Immunity[24] MODMOS, sssLsLsssLsssLsssLsLsssL

((2/1, 3/2)[12], 64/63: 5120/5013)[36]

5L 7M 12s = (~25/24, ~49/48, 81/80~64/63) = (70.7894c, 36.848c, 24.4931c) TE

~ 64/63 36/35 15/14 243/224 54/49 9/8 8/7 81/70 32/27 6/5 128/105 81/64 9/7 64/49 4/3 27/20 48/35 10/7 81/56 72/49 3/2 32/21 54/35 45/28 80/49 81/49 27/16 12/7 243/140 16/9 9/5 64/35 243/128 27/14 96/49 2/1 as ssLssMssMssLssMssLssMssLssMssMssLssM

tempers to ssLssLssLssLssLssLssLssLssLssLssLssLssL, ssLssssssssLsssssLsssssLssssssssLsss Rodan[36] MODMOS, sssssLssLsssssLsssssLsssssLssLsssssL

((2/1, 3/2)[12], 64/63: 441/440, 896/891)[36]

5L 7M 12s = (~25/24, ~49/48, 81/80~64/63~99/98) = (72.2746c, 32.9392c, 25.3165c) TE

~ 64/63 36/35 15/14 12/11 54/49 9/8 8/7 64/55 32/27 6/5 128/105 14/11 9/7 64/49 4/3 27/20 48/35 10/7 16/11 72/49 3/2 32/21 54/35 45/28 18/11 81/49 27/16 12/7 96/55 16/9 9/5 64/35 22/21 27/14 96/49 2/1 as ssLssMssMssLssMssLssMssLssMssMssLssM

tempers to ssLssLssLssLssLssLssLssLssLssLssLssLssL, ssLssssssssLsssssLsssssLssssssssLsss Rodan[36] MODMOS, sssssLssLsssssLsssssLsssssLssLsssssL

2.5.9; Marvel

((2/1, 5/4)[3], 9/8)

((2/1, 5/4)[3], 9/8)[6]

1L 3M 2s = (256/225, 9/8, 10/9)

9/8 5/4 45/32 8/5 9/5 2/1 as MsMLMs

tempers to LsLLLs, sssLss, LsLsLs

((2/1, 5/4)[3], 9/8: 225/224)[6]

1L 3M 2s = (~8/7, 9/8~28/25, ~10/9) = (232.0248c, 200.9152c, 182.9137c)

~ 9/8 5/4 7/5 8/5 9/5 2/1 as MLMsMs

tempers to LsLLLs, sssLss, LsLsLs

((2/1, 5/4)[3], 9/8: 100/99, 225/224)[6]

1L 3M 2s = (~8/7, 9/8~28/25, 10/9~11/10) = (229.792c, 206.94c, 174.6095c)

~ 9/8 5/4 7/5 8/5 9/5 2/1 as MLMsMs

tempers to LsLLLs, sssLss, LsLsLs

((2/1, 5/4)[3], 9/8)[10]

6L 1M 3s = (10/9, 128/125, 81/80)

10/9 9/8 5/4 25/18 45/32 25/16 8/5 16/9 9/5 2/1 as LsLLsLmLsL,

tempers to LsLLsLsLsL, LsLLsLLLsL, LLLLLLsLLL

((2/1, 5/4)[3], 9/8: 225/224)[10]

6L 1M 3s = (~10/9, 128/125~36/35, 81/80~126/125) = (182.9137c, 49.1111c, 18.0015c) TE

~ 10/9 9/8 5/4 25/18 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL

tempers to LsLLsLsLsL, LsLLsLLLsL, LLLLLLsLLL

((2/1, 5/4)[3], 9/8: 100/99, 225/224)[10]

6L 1M 3s = (10/9~11/10, 128/125~36/35~80/77, 81/80~126/125~45/44~56/55) = (174.6095c, 55.1825c, 32.3305c) TE

~10/9 9/8 5/4 11/8 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL

tempers to LsLLsLsLsL, LsLLsLLLsL, LLLLLLsLLL

((2/1, 5/4)[3], 9/8)[17]

6L 10m 1s = (800/729, 81/80, 2048/2025)

81/80 10/9 9/8 100/81 5/4 81/64 25/18 45/32 64/45 36/18 128/81 8/5 81/50 16/9 9/5 160/81 2/1 as mLmLmmLmsmLmmLmLm

tempers to sLsLssLsssLssLsLs MODMOS, LLLLLLLLsLLLLLLLL, sLsLssLsLsLssLsLs

((2/1, 5/4)[3], 9/8: 225/224)[17]

6L 1m 10s = (~800/729, 2048/2025~64/63, 81/80~126/125) = (164.9122c, 31.1096c, 18.0015c) TE

~ 81/80 10/9 9/8 100/81 5/4 81/64 25/18 7/5 10/7 36/25 128/81 8/5 81/50 16/9 9/5 160/81 2/1 as sLsLssLsmsLssLsLs

tempers to sLsLssLsssLssLsLs MODMOS, sLsLssLsLsLssLsLs, LLLLLLLLsLLLLLLLL

((2/1, 5/4)[3], 9/8: 100/99, 225/224)[17]

6L 10m 1s = (~88/81, 81/80~126/125~45/44~56/55, 2048/2025~64/63~176/175) = (142.279c, 32.3305c, 22.852c) TE

~ 56/55 10/9 9/8 11/9 5/4 14/11 11/8 7/5 10/7 16/11 11/7 8/5 11/9 16/9 9/5 55/28 2/1 as mLmLmmLmsmLmmLmLm

tempers to sLsLssLsssLssLsLs Machine[17] MODMOS, LLLLLLLLsLLLLLLLL, sLsLssLsLsLssLsLs

2.5.9; Starling

((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, 10/9~28/25) = (232.1725c, 202.4685c, 187.562c)

~ 9/8 5/4 10/7 8/5 9/5 2/1 as msLsms

tempers to ssLsss, LsLsLs, sLLLsL

((2/1, 5/4)[3], 10/9)[9]

6L 1m 2s = (10/9, 648/625, 81/80)

10/9 9/8 5/4 25/18 36/25 8/5 16/9 9/5 2/1 as LsLLmLLsL

tempers to LsLLsLLsL, LsLLLLLsL, LLLLsLLLL

((2/1, 5/4)[3], 10/9: 126/125)[9]

6L 1m 2s = (10/9~28/25, 648/625~36/35, 81/80~225/224) = (187.562c, 44.6105c, 14.9065c)

~ 10/9 9/8 5/4 7/5 10/7 8/5 16/9 9/5 2/1 as LsLLmLLsL

tempers to LsLLsLLsL, LsLLLLLsL, LLLLsLLLL

((2/1, 5/4)[3], 10/9: 126/125, 896/891)[16]

6L 1m 9s = (~11/10, 128/125~64/63~99/98, 81/80~225/224~56/55)

~ 56/55 10/9 9/8 63/55 5/4 9/7 7/5 45/32 16/11 8/5 81/50 16/9 9/5 20/11 2/1 as sLssLsLsmsLsLssL

tempers to sLssLsLsssLsLssL, sLssLsLsLsLsLssL, LLLLLLLLsLLLLLLL

((2/1, 5/4)[3], 10/9: 91/90, 126/125, 325/324)[16]

6L 1m 9s = (~11/10, 128/125~64/63~99/98, 81/80~225/224~56/55~144/143)

~ 56/55 10/9 9/8 63/55 5/4 9/7 7/5 45/32 16/11 8/5 13/8 16/9 9/5 20/11 2/1 as sLssLsLsmsLsLssL

tempers to sLssLsLsssLsLssL, sLssLsLsLsLsLssL, LLLLLLLLsLLLLLLL

Retrieved from "https://en.xen.wiki/index.php?title=Gallery_of_3-SN_scales&oldid=85318"