Gamelismic clan: Difference between revisions

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 * ''Prelude for solo piano'' (2014) by [[Chris Vaisvil]] – [https://web.archive.org/web/20201127013310/http://micro.soonlabel.com/16-ET/mothra/20141028_mothra16br4.mp3 play] | [https://www.chrisvaisvil.com/prelude-for-solo-piano-in-mothra16-brat-4-tuning/ blog] – in Mothra[16], brat 4 tuning
-=== Cynder ===
+=== Mosura ===
+The [[S-expression]]-based comma list of mosura suggests it might be the most natural extension of 7-limit cynder to the 11-limit: {[[1728/1715|S6/S7]], [[1029/1024|S7/S8]], ([[81/80|S6/S8 = S9]],) [[176/175|S8/S10]]}.
 Subgroup: 2.3.5.7.11
-Comma list: 45/44, 81/80, 1029/1024
+Comma list: 81/80, 176/175, 540/539
+Mapping: {{mapping| 1 1 0 3 -1 | 0 3 12 -1 23 }}
-Mapping: {{mapping| 1 1 0 3 0 | 0 3 12 -1 18 }}
+Wedgie: {{Multival| 3 12 -1 23 12 -10 26 -36 12 68 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~8/7 = 231.566
+* CTE: ~2 = 1200.000, ~8/7 = 232.557
-* POTE: ~2 = 1200.000, ~8/7 = 231.317
+* POTE: ~2 = 1200.000, ~8/7 = 232.419
-{{Optimal ET sequence|legend=0| 5e, 21ce, 26 }}
+{{Optimal ET sequence|legend=0| 5e, 26e, 31, 129 }}
-Badness (Smith): 0.055706
+Badness (Smith): 0.031334
 ==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
-Comma list: 45/44, 78/77, 81/80, 640/637
+Comma list: 81/80, 144/143, 176/175, 196/195
-Mapping: {{mapping| 1 1 0 3 0 1 | 0 3 12 -1 18 14 }}
+Mapping: {{mapping| 1 1 0 3 -1 7 | 0 3 12 -1 23 -17 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~8/7 = 231.546
+* CTE: ~2 = 1200.000, ~8/7 = 232.635
-* POTE: ~2 = 1200.000, ~8/7 = 231.293
+* POTE: ~2 = 1200.000, ~8/7 = 232.640
-{{Optimal ET sequence|legend=0| 5e, 21cef, 26 }}
+{{Optimal ET sequence|legend=0| 31, 67, 98 }}
-Badness (Smith): 0.034124
+Badness (Smith): 0.036857
-=== Mosura ===
-The [[S-expression]]-based comma list of mosura suggests it might be the most natural extension of 7-limit cynder to the 11-limit: {[[1728/1715|S6/S7]], [[1029/1024|S7/S8]], ([[81/80|S6/S8 = S9]],) [[176/175|S8/S10]]}.
+=== Cynder ===
 Subgroup: 2.3.5.7.11
-Comma list: 81/80, 176/175, 540/539
+Comma list: 45/44, 81/80, 1029/1024
-Mapping: {{mapping| 1 1 0 3 -1 | 0 3 12 -1 23 }}
+Mapping: {{mapping| 1 1 0 3 0 | 0 3 12 -1 18 }}
-Wedgie: {{Multival| 3 12 -1 23 12 -10 26 -36 12 68 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~8/7 = 232.557
+* CTE: ~2 = 1200.000, ~8/7 = 231.566
-* POTE: ~2 = 1200.000, ~8/7 = 232.419
+* POTE: ~2 = 1200.000, ~8/7 = 231.317
-{{Optimal ET sequence|legend=0| 5e, 26e, 31, 129 }}
+{{Optimal ET sequence|legend=0| 5e, 21ce, 26 }}
-Badness (Smith): 0.031334
+Badness (Smith): 0.055706
 ==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
-Comma list: 81/80, 144/143, 176/175, 196/195
+Comma list: 45/44, 78/77, 81/80, 640/637
-Mapping: {{mapping| 1 1 0 3 -1 7 | 0 3 12 -1 23 -17 }}
+Mapping: {{mapping| 1 1 0 3 0 1 | 0 3 12 -1 18 14 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~8/7 = 232.635
+* CTE: ~2 = 1200.000, ~8/7 = 231.546
-* POTE: ~2 = 1200.000, ~8/7 = 232.640
+* POTE: ~2 = 1200.000, ~8/7 = 231.293
-{{Optimal ET sequence|legend=0| 31, 67, 98 }}
+{{Optimal ET sequence|legend=0| 5e, 21cef, 26 }}
-Badness (Smith): 0.036857
+Badness (Smith): 0.034124
 == Rodan ==