No-sevens subgroup temperaments: Difference between revisions

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 == Hypnotone ==
-Subgroup: 2.3.5.11
+Hypnotone is no-7 [[flattone]].
-[[Comma list]]: 45/44, 81/80, 100/99, 125/121
+[[Subgroup]]: 2.3.5.11
-[[Mapping|Sval mapping]]: [{{val|1 2 4 6}}, {{val|0 -1 -4 -6}}]
+[[Comma list]]: 45/44, 81/80
-[[POTE|POTE generators]]: 2/1 = 1200.0000, ~3/2 = 506.6467
+{{Mapping|legend=2| 1 0 -4 -6 | 0 1 4 6 }}
-[[TE|TE generators]]: ~2/1 = 1202.1032, ~3/2 = 507.5347
+: sval mapping generators: ~2, ~3
-Recommended ETs: {{EDOs|33, 82, 59, 85, 26}}
+[[Optimal tuning]] ([[CTE]]): ~2/1 = 1\1, ~3/2 = 694.6998
-Related temperament: [[Meantone family|meantone]]
+{{Optimal ET sequence|legend=1| 7, 12, 19, 26, 45 }}
-=== 2.3.5.11.13 ===
+[[Badness]]: 0.0104
+=== 2.3.5.11.13 subgroup ===
 Subgroup: 2.3.5.11.13
-[[Comma list]]: 45/44, 65/64, 81/80, 100/99, 125/121, 144/143
+Comma list: 45/44, 65/64, 81/80
+Sval mapping: {{mapping| 1 0 -4 -6 10 | 0 1 4 6 -4 }}
-[[Mapping|Sval mapping]]: [{{val|1 2 4 6 2}}, {{val|0 -1 -4 -6 4}}]
+: sval mapping generators: ~2, ~3
-[[POTE|POTE generators]]: 2/1 = 1200.0000, ~3/2 = 507.1360
+Optimal tuning (CTE): ~2/1 = 1\1, ~3/2 = 693.9513
-[[TE|TE generators]]: ~2/1 = 1202.7334, ~3/2 = 508.2912
+Optimal ET sequence: {{Optimal ET sequence| 7, 12, 19, 26, 45f }}
-Recommended ETs: {{EDOs|33, 82, 59, 85, 26}}
+Badness: 0.0141
 == Stützel ==