Gallery of 3-SN scales: Difference between revisions

Line 1,052:

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

8d-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 16-ET: (2, 3, 1); 19-ET: (3, 3, 2); 27-ET: (5, 4, 3); 31-ET: (5, 5, 3); 46-ET: (8, 7, 5); 50-ET: (8, 8, 5); 58-ET: (10, 9, 6); 77-ET: (13, 12, 8)

=====[[SNS (2/1, 3/2, 6/5: 100/99)-7|(2/1, 3/2, 6/5: 100/99)[7] (No-7 Ptolemismic)]]=====

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

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Line 1,060:

m = s -> sssLsss Porcupine[7], L = m -> LsLLLsL Meanenneadecal[7], L = s -> LsLsLsL Flat[7]

8-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 19-ET: (3, 3, 2); 22-ET: (4, 3, 3); 27e-ET: (5, 4, 3); 29-ET: (5, 4, 4); 34-ET: (6, 5, 4); 41-ET: (7, 6, 5)

=====[[SNS (2/1, 3/2, 6/5: 56/55, 100/99)-7|(2/1, 3/2, 6/5: 56/55, 100/99)[7] (Thrasher)]]=====

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

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Line 1,068:

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

8d-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 19-ET: (3, 3, 2); 27e-ET: (5, 4, 3); 34-ET: (6, 5, 4)

====[[SNS (2/1, 3/2, 6/5)-12|(2/1, 3/2, 6/5)[12]]]====

7L 1m 4s = (27/25, 25/24, 250/243)

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Line 1,082:

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

12-ET: (1, 1, 1); 15-ET: (2, 1, 0); 16-ET: (1, 1, 2); 19-ET: (2, 1, 1); 27-ET: (3, 2, 1); 31-ET: (3, 2, 2); 46-ET: (5, 3, 2); 50-ET: (5, 3, 3); 58-ET: (6, 4, 3); 77-ET: (8, 5, 4)

=====[[SNS (2/1, 3/2, 6/5: 126/125, 196/195)-12|(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

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Line 1,090:

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

12f-ET: (1, 1, 1); 15f-ET: (2, 1, 0); 19-ET: (2, 1, 1); 27-ET: (3, 2, 1); 31-ET: (3, 2, 2); 46-ET: (5, 3, 2); 50-ET: (5, 3, 3); 58-ET: (6, 4, 3); 77-ET: (8, 5, 4)

=====[[SNS (2/1, 3/2, 6/5: 100/99)-12|(2/1, 3/2, 6/5: 100/99)[12] (No-7 Ptolemismic)]]=====

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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Line 1,098:

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

12-ET: (1, 1, 1); 15-ET: (2, 1, 0); 19-ET: (2, 1, 1); 22-ET: (3, 1, 0); 27e-ET: (3, 2, 1); 29-ET: (4, 1, 0); 34-ET: (4, 2, 1); 41-ET: (5, 2, 1)

=====[[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

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

12-ET: (1, 1, 1); 15-ET: (2, 1, 0); 19-ET: (2, 1, 1); 27e-ET: (3, 2, 1); 34-ET: (4, 2, 1)

=====[[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) TE

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Line 1,114:

m = s -> LsLLsLsLsLLs Falttone[12]; L = m -> LsLLsLLLsLLs MODMOS; L = s -> LLLLLLsLLLLL; s = 0 -> LLLLsLLL Hystrix[8]

19-ET: (2, 1, 1); 53-ET: (6, 3, 2); 72-ET: (8, 4, 3); 99-ET: (11, 6, 4); 118-ET: (13, 7, 5); 152-ET: (17, 9, 6); 171-ET: (19, 10, 7); 224-ET: (25, 13, 9); 270-ET: (30, 16, 11); 441-ET: (49, 26, 18); 494-ET: (55, 29, 20); 612-ET: (68, 36, 25)

====[[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) TE

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Line 1,124:

s = 0 -> LmmLmLmmLmmLmmLmLmm Falttone[19]; m = 0 -> LLLLsLLL Hystrix[8]

19-ET: (1, 1, 0); 53-ET: (4, 2, 1); 72-ET: (5, 3, 1); 99-ET: (7, 4, 2); 118-ET: (8, 5, 2); 152-ET: (11, 6, 3); 171-ET: (12, 7, 3); 224-ET: (16, 9, 4); 270-ET: (19, 11, 5); 441-ET: (31, 18, 8); 494-ET: (35, 20, 9); 612-ET: (43, 25, 11)

=====[[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, 81/80~245/242) = (84.5509c, 48.8802c, 21.6019c) TE

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Line 1,134:

s = 0 -> LmmLmLmmLmmLmmLmLmm; m = 0 -> LLLLsLLL

19-ET: (1, 1, 0); 34d: (3, 1, 1); 46-ET: (3, 2, 1); 72-ET: (5, 3, 1); 80-ET: (6, 3, 2); 118-ET: (8, 5, 2); 152-ET: (11, 6, 3); 171-ET: (12, 7, 3); 224-ET: (16, 9, 4); 270-ET: (19, 11, 5); 494-ET: (35, 20, 9); 612-ET: (43, 25, 11)

====[[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) = (62.949c, 27.2783c, 21.6019c) TE

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m = s -> sssLsssssLsssLsssssLsssssLsssLsssssLsss Hemiamity[39] MODMOS; L = m -> sLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLs; s = 0 -> sLssLsLssLssLsLssLs

46-ET: (2, 1, 1); 72-ET: (4, 2, 1); 80-ET: (4, 1, 2); 118-ET: (6, 3, 2); 152-ET: (8, 3, 3); 171-ET: (9, 4, 3); 224-ET: (12, 5, 4); 270-ET: (14, 6, 5); 494-ET: (26, 11, 9); 612-ET: (32, 14, 11)

==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==

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

@@ Line 1,052: / Line 1,052: @@
 L = M -> LsLLLsL Meantone[7]; M = s -> sssLsss Opossum[7]; L = s -> LsLsLsL Flat[7]
+d-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 16-ET: (2, 3, 1); 19-ET: (3, 3, 2); 27-ET: (5, 4, 3); 31-ET: (5, 5, 3); 46-ET: (8, 7, 5); 50-ET: (8, 8, 5); 58-ET: (10, 9, 6); 77-ET: (13, 12, 8)
 =====[[SNS (2/1, 3/2, 6/5: 100/99)-7|(2/1, 3/2, 6/5: 100/99)[7] (No-7 Ptolemismic)]]=====
 L 4M 2S = (~9/8, 10/9~11/10, 27/25~12/11) = (209.7786c, 174.0549c, 146.6352c) TE
@@ Line 1,058: / Line 1,060: @@
 m = s -> sssLsss Porcupine[7], L = m -> LsLLLsL Meanenneadecal[7], L = s -> LsLsLsL Flat[7]
+-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 19-ET: (3, 3, 2); 22-ET: (4, 3, 3); 27e-ET: (5, 4, 3); 29-ET: (5, 4, 4); 34-ET: (6, 5, 4); 41-ET: (7, 6, 5)
 =====[[SNS (2/1, 3/2, 6/5: 56/55, 100/99)-7|(2/1, 3/2, 6/5: 56/55, 100/99)[7] (Thrasher)]]=====
 L 4M 2S = (~9/8, 10/9~11/10, 27/25~15/14~12/11) = (215.4452c, 179.0856c, 132.5782c) TE
@@ Line 1,064: / Line 1,068: @@
 L = M -> LsLLLsL Meanenneadecal[7]; M = s -> sssLsss Opossum[7]; L = s -> LsLsLsL Flat[7]
+d-ET: (2, 1, 1); 12-ET: (2, 2, 1); 15-ET: (3, 2, 2); 19-ET: (3, 3, 2); 27e-ET: (5, 4, 3); 34-ET: (6, 5, 4)
 ====[[SNS (2/1, 3/2, 6/5)-12|(2/1, 3/2, 6/5)[12]]]====
 L 1m 4s = (27/25, 25/24, 250/243)
@@ Line 1,076: / Line 1,082: @@
 m = s -> sLLsLsLsLLsL Meantone[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Opossum[8]
+-ET: (1, 1, 1); 15-ET: (2, 1, 0); 16-ET: (1, 1, 2); 19-ET: (2, 1, 1); 27-ET: (3, 2, 1); 31-ET: (3, 2, 2); 46-ET: (5, 3, 2); 50-ET: (5, 3, 3); 58-ET: (6, 4, 3); 77-ET: (8, 5, 4)
 =====[[SNS (2/1, 3/2, 6/5: 126/125, 196/195)-12|(2/1, 3/2, 6/5: 126/125, 196/195)[12]]]=====
 L 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
@@ Line 1,082: / Line 1,090: @@
 m = s -> sLLsLsLsLLsL Meanpop[12]; L = m -> sLLsLLLsLLsL MODMOS; s = 0 -> LLLsLLLL
+f-ET: (1, 1, 1); 15f-ET: (2, 1, 0); 19-ET: (2, 1, 1); 27-ET: (3, 2, 1); 31-ET: (3, 2, 2); 46-ET: (5, 3, 2); 50-ET: (5, 3, 3); 58-ET: (6, 4, 3); 77-ET: (8, 5, 4)
 =====[[SNS (2/1, 3/2, 6/5: 100/99)-12|(2/1, 3/2, 6/5: 100/99)[12] (No-7 Ptolemismic)]]=====
 L 1m 4s = (27/25~12/11, 25/24~33/32, 250/243~55/54) = (146.6352c, 63.1434c, 27.4197c) TE
@@ Line 1,088: / Line 1,098: @@
 m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Porkypine[8]
+-ET: (1, 1, 1); 15-ET: (2, 1, 0); 19-ET: (2, 1, 1); 22-ET: (3, 1, 0); 27e-ET: (3, 2, 1); 29-ET: (4, 1, 0); 34-ET: (4, 2, 1); 41-ET: (5, 2, 1)
 =====[[SNS (2/1, 3/2, 6/5: 56/55, 100/99)-12|(2/1, 3/2, 6/5: 56/55, 100/99)[12] (Thrasher)]]=====
 L 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 1,094: / Line 1,106: @@
 m = s -> sLLsLsLsLLsL Meanenneadecal[12]; L = m -> sLLsLLLsLLsL Diminished[12] MODMOS; s = 0 -> LLLsLLLL Opossum[8]
+-ET: (1, 1, 1); 15-ET: (2, 1, 0); 19-ET: (2, 1, 1); 27e-ET: (3, 2, 1); 34-ET: (4, 2, 1)
 =====[[SNS (2/1, 3/2, 6/5: 4375/4374)-12|(2/1, 3/2, 6/5: 4375/4374)[12] (Ragismic)]]=====
 L 1m 4s = (~27/25, ~25/24, 250/243~36/35) = (133.4115c, 70.5569c, 48.8911c) TE
@@ Line 1,100: / Line 1,114: @@
 m = s -> LsLLsLsLsLLs Falttone[12]; L = m -> LsLLsLLLsLLs MODMOS; L = s -> LLLLLLsLLLLL; s = 0 -> LLLLsLLL Hystrix[8]
+-ET: (2, 1, 1); 53-ET: (6, 3, 2); 72-ET: (8, 4, 3); 99-ET: (11, 6, 4); 118-ET: (13, 7, 5); 152-ET: (17, 9, 6); 171-ET: (19, 10, 7); 224-ET: (25, 13, 9); 270-ET: (30, 16, 11); 441-ET: (49, 26, 18); 494-ET: (55, 29, 20); 612-ET: (68, 36, 25)
 ====[[SNS (2/1, 3/2, 6/5: 4375/4374)-20|(2/1, 3/2, 6/5: 4375/4374)[20] (Ragismic)]]====
 L 12m 1s = (~21/20, 250/243~36/35, ~81/80) = (84.5204c, 48.8911c, 21.6658c) TE
@@ Line 1,108: / Line 1,124: @@
 s = 0 -> LmmLmLmmLmmLmmLmLmm Falttone[19]; m = 0 -> LLLLsLLL Hystrix[8]
+-ET: (1, 1, 0); 53-ET: (4, 2, 1); 72-ET: (5, 3, 1); 99-ET: (7, 4, 2); 118-ET: (8, 5, 2); 152-ET: (11, 6, 3); 171-ET: (12, 7, 3); 224-ET: (16, 9, 4); 270-ET: (19, 11, 5); 441-ET: (31, 18, 8); 494-ET: (35, 20, 9); 612-ET: (43, 25, 11)
 =====[[SNS (2/1, 3/2, 6/5: 3025/3024, 4375/4374)-20|(2/1, 3/2, 6/5: 3025/3024, 4375/4374)[20] (Thor)]]=====
 L 12m 1s = (~21/20, 250/243~36/35, 81/80~245/242) = (84.5509c, 48.8802c, 21.6019c) TE
@@ Line 1,116: / Line 1,134: @@
 s = 0 -> LmmLmLmmLmmLmmLmLmm; m = 0 -> LLLLsLLL
+-ET: (1, 1, 0); 34d: (3, 1, 1); 46-ET: (3, 2, 1); 72-ET: (5, 3, 1); 80-ET: (6, 3, 2); 118-ET: (8, 5, 2); 152-ET: (11, 6, 3); 171-ET: (12, 7, 3); 224-ET: (16, 9, 4); 270-ET: (19, 11, 5); 494-ET: (35, 20, 9); 612-ET: (43, 25, 11)
 ====[[SNS (2/1, 3/2, 6/5: 3025/3024, 4375/4374)-39|(2/1, 3/2, 6/5: 3025/3024, 4375/4374)[39] (Thor)]]====
 L 12m 20s = (~28/27, ~64/63, 81/80~245/242) = (62.949c, 27.2783c, 21.6019c) TE
@@ Line 1,122: / Line 1,142: @@
 m = s -> sssLsssssLsssLsssssLsssssLsssLsssssLsss Hemiamity[39] MODMOS; L = m -> sLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLsLs; s = 0 -> sLssLsLssLssLsLssLs
+-ET: (2, 1, 1); 72-ET: (4, 2, 1); 80-ET: (4, 1, 2); 118-ET: (6, 3, 2); 152-ET: (8, 3, 3); 171-ET: (9, 4, 3); 224-ET: (12, 5, 4); 270-ET: (14, 6, 5); 494-ET: (26, 11, 9); 612-ET: (32, 14, 11)
 ==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==
 ===((2/1, 3/2)[5], 10/9)===