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Gallery of 3-SN scales: Difference between revisions

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m = 0 -> LssLsLsLssLsLssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Andromeda[70] MODMOS
m = 0 -> LssLsLsLssLsLssLsLssLsLsLssLsLssLsLsLssLsLssLsLsLssLsLsssLsLssLsLsLssLs Andromeda[70] MODMOS
==2.3.5; [[Starling]], [[Ptolemismic temperaments|No-7 Ptolemismic]], and [[Ragismic family#Ragismic|Ragismic]]==
==2.3.5; [[Starling]], [[Ptolemismic temperaments|No-7 Ptolemismic]], [[Supermagic]], and [[Ragismic family#Ragismic|Ragismic]]==
===(2/1, 3/2, 6/5)===
===(2/1, 3/2, 6/5)===
====[[SNS (2/1, 3/2, 6/5)-4|(2/1, 3/2, 6/5)[4]]]====
====[[SNS (2/1, 3/2, 6/5)-4|(2/1, 3/2, 6/5)[4]]]====
Line 4,740: Line 4,740:
|4L 3M 1s
|4L 3M 1s
|10/9, 27/25~35/32, 25/24~36/35
|10/9, 27/25~35/32, 25/24~36/35
|
|176.8769, 144.8100, 59.11533
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 4,850: Line 4,850:
|4L 3M 1s
|4L 3M 1s
|10/9~11/10, 27/25~35/32~12/11, 25/24~36/35~33/32
|10/9~11/10, 27/25~35/32~12/11, 25/24~36/35~33/32
|
|173.1413, 149.5159, 58.8799
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 4,955: Line 4,955:
|4L 3M 1s
|4L 3M 1s
|10/9~11/10, 27/25~35/32~12/11~13/12, 25/24~36/35~33/32~27/26
|10/9~11/10, 27/25~35/32~12/11~13/12, 25/24~36/35~33/32~27/26
|
|176.3227, 145.4708, 58.3927
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 5,058: Line 5,058:
|4L 3M 1s
|4L 3M 1s
|10/9, 27/25~13/12, 25/24~27/26
|10/9, 27/25~13/12, 25/24~27/26
|
|180.4645c, 136.7099c, 68.1467c
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 5,140: Line 5,140:
|4L 3M 1s
|4L 3M 1s
|10/9~11/10, 27/25~12/11~13/12, 25/24~33/32~27/26
|10/9~11/10, 27/25~12/11~13/12, 25/24~33/32~27/26
|(175.8918c, 142.7754c, 66.7663c)
|175.8918c, 142.7754c, 66.7663c
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 5,226: Line 5,226:


===== (2/1, 6/5)[4], 10/9: 875/864)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 875/864)[15] Supermagic =====
4L 8m 3s = (16/15, 25/24~36/35, 648/625~21/20)
4L 3m 8s = (16/15, 648/625~21/20, 25/24~36/35)


~ 25/24 10/9 8/7 6/5 5/4 4/3 25/18 35/24 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 8/7 6/5 5/4 4/3 25/18 35/24 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 1, 2); 26-ET: (3, 1, 2); 34-ET: (3, 2, 2); 37-ET: (3, 2, 3); 41-ET: (4, 2, 3); 60-ET: (6, 3, 4)
15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 60-ET: (6, 4, 3)


===== (2/1, 6/5)[4], 10/9: 100/99, 385/384)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 100/99, 385/384)[15] Supermagic =====
4L 8m 3s = (16/15, 25/24~36/35~33/32, 648/625~21/20~128/121)
4L 3m 8s = (16/15, 648/625~21/20~128/121, 25/24~36/35~33/32)


~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 16/11 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 16/11 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 1, 2); 26-ET: (3, 1, 2); 34-ET: (3, 2, 2); 37-ET: (3, 2, 3); 41-ET: (4, 2, 3); 63-ET: (6, 3, 5)
15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 63-ET: (6, 5, 3)


===== (2/1, 6/5)[4], 10/9: 100/99, 105/104, 144/143)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 100/99, 105/104, 144/143)[15] Supermagic =====
4L 8m 3s = (16/15, 25/24~36/35~33/32~27/26, 648/625~21/20~128/121~26/25)
4L 3m 8s = (16/15, 648/625~21/20~128/121~26/25, 25/24~36/35~33/32~27/26)


~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 26-ET: (3, 1, 2); 34-ET: (3, 2, 2); 37-ET: (3, 2, 3); 41-ET: (4, 2, 3); 60-ET: (6, 3, 4)
15-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 60-ET: (6, 4, 3)


===== (2/1, 6/5)[4], 10/9: 325/324)[15] (2.3.5.13 Marveltwin) =====
===== (2/1, 6/5)[4], 10/9: 325/324)[15] (2.3.5.13 Marveltwin) =====
4L 8m 3s = (16/15, 25/24~27/26, 648/625~26/25) = (112.3178, 68.1467, 68.5631)
4L 3m 8s = (16/15, 648/625~26/25, 25/24~27/26) = (112.3178, 68.5631, 68.1467)


~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15d-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 26-ET: (3, 1, 2); 27-ET: (2, 2, 1); 29-ET: (3, 1, 3); 31-ET: (3, 2, 1); 34-ET: (3, 2, 2); 41-ET: (4, 2, 3); 46-ET: (4, 3, 2); 53-ET: (5, 3, 3); 72-ET: (7, 4, 4); 87-ET: (8, 5, 5)
15d-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 2, 1); 26-ET: (3, 2, 1); 27-ET: (2, 2, 1); 29-ET: (3, 3, 1); 31-ET: (3, 1, 2); 34-ET: (3, 2, 2); 41-ET: (4, 3, 2); 46-ET: (4, 2, 3); 53-ET: (5, 3, 3); 72-ET: (7, 4, 4); 87-ET: (8, 5, 5)


===== (2/1, 6/5)[4], 10/9: 225/224, 325/324)[15] 2.3.5.7.13 Hecate =====
===== (2/1, 6/5)[4], 10/9: 105/104, 325/324)[15] 2.3.5.7.13 Supermagic =====
4L 8m 3s = (16/15~15/14, 25/24~28/27~27/26, 648/625~26/25)
4L 3m 8s = (16/15, 648/625~21/20~26/25, 25/24~36/35~27/26) = (121.6150, 81.3115, 58.8960)


~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 9/5 27/14 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 8/7 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15d-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 31f-ET: (3, 2, 1); 34d-ET: (3, 2, 2); 41-ET: (4, 2, 3); 53-ET: (5, 3, 3); 72-ET: (7, 4, 4); 94-ET: (9, 5, 6)
15-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 60-ET: (6, 4, 3)
===== (2/1, 6/5)[4], 10/9: 100/99, 144/143)[15] (2.3.5.11.13 Ptolemismic) =====
===== (2/1, 6/5)[4], 10/9: 100/99, 144/143)[15] (2.3.5.11.13 Ptolemismic) =====
4L 8m 3s = (16/15, 25/24~33/32~27/26, 648/625~128/121~26/25) = (109.1256, 76.0091, 66.7663)
4L 3m 8s = (16/15, 648/625~128/121~26/25, 25/24~33/32~27/26) = (109.1256, 76.0091, 66.7663) ⟨109.12557, 76.00911, 66.76626]
 
~ 25/24 10/9 15/13 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
 
15-ET: (1, 1, 1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 26-ET: (3, 1, 2); 27e-ET: (2, 2, 1); 29-ET: (3, 1, 3); 34-ET: (3, 2, 2); 41-ET: (4, 2, 3)
 
===== (2/1, 6/5)[4], 10/9: 100/99, 144/143, 225/224)[15] Apollo =====
4L 8m 3s = (16/15~15/14, 25/24~28/27~33/32~27/26, 648/625~128/121~26/25)


~ 25/24 10/9 15/13 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 26/15 9/5 27/14 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 15/13 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15d-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 26d-ET: (3, 1, 2); 29f-ET: (3, 1, 3); 31f-ET: (3, 2, 1); 34d-ET: (3, 2, 2); 41-ET: (4, 2, 3); 53e-ET: (5, 3, 3)
15-ET: (1, 1, 1); 19-ET: (2, 1, 1); 22f-ET: (2, 2, 1); 26-ET: (3, 2, 1); 27e-ET: (2, 1, 2); 29-ET: (3, 3, 1); 34-ET: (3, 2, 2); 41-ET: (4, 3, 2)
 
===== (2/1, 6/5)[4], 10/9: 225/224, 325/324, 385/384)[15] Hecate =====
~ 25/24 10/9 15/13 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 26/15 9/5 27/14 2/1 as mLmsmLmsmLmsmLm
 
15d-ET: (1,1,1); 19-ET: (2, 1, 1); 22f-ET: (2, 1, 2); 31f-ET: (3, 2, 1); 34de-ET: (3, 2, 2); 41-ET: (4, 2, 3); 53-ET: (5, 3, 3); 72-ET: (7, 4, 4); 94-ET: (9, 5, 6)


==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==
==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==
Line 5,728: Line 5,716:
14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4)
14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4)


==== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic ====
===== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic =====
2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32)
2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32)


Line 5,746: Line 5,734:
14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4)
14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4)


==== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic ====
===== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic =====
2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32)
2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32)


Line 5,800: Line 5,788:
17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5)
17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5)


==== (2/1, 3/2, 9/7: 351/350, 676/675)[13] ====
===== (2/1, 3/2, 9/7: 351/350, 676/675)[13] =====
2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25)
2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25)


Line 5,826: Line 5,814:


53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1)
53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1)
== 2.3.11 Pentacircle ==
=== ((2/1, 3/2)[5], 12/11) ===
==== ((2/1, 3/2)[5], 12/11)[10] ====
5L 2M 3s = (12/11, 88/81, 33/32)
12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 12/11: 896/891)[10] ====
5L 2M 3s = (12/11, 88/81, 33/32~28/27)
~  12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 12/11: 896/891)[17] ====
5L 2M 10s = (128/121~81/77, 256/243~22/21, 33/32~28/27)
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 16/11 3/2 14/9 18/11 27/16 16/9 11/6 27/14 2/1 as sLsMsLssLssLsMsLs
== 2.3.13 Squbema ==
=== ((2/1, 3/2)[5], 13/12) ===
==== ((2/1, 3/2)[5], 13/12)[10] ====
5L 2M 3s = (13/12, 128/117, 27/26)
13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 13/12: 729/728)[10] ====
5L 2M 3s = (13/12, 128/117, 27/26~28/27)
~ 13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM
===== ((2/1, 3/2)[5], 13/12: 729/728)[17] =====
5L 2M 10s = (91/81, 256/243~96/91, 27/26~28/27)
~ 28/27 13/12 9/8 32/27 16/13 9/7 4/3 18/13 13/9 3/2 14/9 13/8 27/16 16/9 24/13 27/14 2/1 as sLsMsLssLssLsMsLs
===== ((2/1, 3/2)[5], 12/11~13/12: 144/143, 729/728)[17] =====
5L 2M 10s = (91/81~81/77, 256/243~96/91~22/21, 27/26~28/27~33/32)
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 13/9 3/2 14/9 13/8 27/16 16/9 12/11 27/14 2/1 as sLsMsLssLssLsMsLs


{{Navbox scale gallery}}
{{Navbox scale gallery}}
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