Trienstonic clan: Difference between revisions

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@@ Line 19: / Line 19: @@
 {{Mapping|legend=3| 1 0 0 -2 | 0 1 0 3 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 721.5586
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~3/2 = 717.5172
+* [[POTE]]: ~2 = 1\1, ~3/2 = 721.5586
-{{Optimal ET sequence|legend=1| 2d, 3d, 5, 78bb }}
+{{Optimal ET sequence|legend=1| 2d, 3d, 5 }}
 == Father ==
@@ Line 35: / Line 37: @@
 {{Multival|legend=1| 1 -1 3 -4 2 10 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 742.002
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~3/2 = 727.8550
+* [[POTE]]: ~2 = 1\1, ~3/2 = 742.002
 [[Minimax tuning]]:
@@ Line 46: / Line 50: @@
 [[Badness]]: 0.021312
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 16/15, 22/21, 28/27
+Mapping: {{mapping| 1 0 4 -2 -3 | 0 1 -1 3 4 }}
+Optimal tunings:
+* CTE: ~2 = 1\1, ~3/2 = 732.2094
+* POTE: ~2 = 1\1, ~3/2 = 747.156
+Optimal ET sequence: {{Optimal ET sequence| 2de, 3de, 5, 8d }}
+Badness: 0.020589
 == Uncle ==
@@ Line 56: / Line 75: @@
 {{Multival|legend=1| 1 -6 3 -12 2 24 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 731.177
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~3/2 = 731.3937
+* [[POTE]]: ~2 = 1\1, ~3/2 = 731.177
 [[Minimax tuning]]:
@@ Line 62: / Line 83: @@
 * [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/5
-{{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bcd }}
+{{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bbcd }}
 [[Badness]]: 0.072653
@@ Line 77: / Line 98: @@
 {{Multival|legend=1| 1 -3 3 -7 2 15 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 691.351
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~3/2 = 691.7571
+* [[POTE]]: ~2 = 1\1, ~3/2 = 691.351
-{{Optimal ET sequence|legend=1| 2d, 5c, 19ccdd }}
+{{Optimal ET sequence|legend=1| 2d, 5c, 7d, 19ccdd }}
 [[Badness]]: 0.058468
@@ Line 91: / Line 114: @@
 {{Mapping|legend=1| 2 0 -5 | 0 1 3 }}
-[[Optimal tuning]] ([[POTE]]): ~27/20 = 1\2, ~3/2 = 729.097
+: mapping generators: ~27/20, ~3
+[[Optimal tuning]]s:
+* [[CTE]]: ~27/20 = 1\2, ~3/2 = 726.5480
+* [[POTE]]: ~27/20 = 1\2, ~3/2 = 729.097
 {{Optimal ET sequence|legend=1| 8, 10, 18, 28b }}
@@ Line 106: / Line 133: @@
 {{Multival|legend=1| 2 6 6 5 4 -2 }}
-[[Optimal tuning]] ([[POTE]]): ~7/5 = 1\2, ~3/2 = 728.874
+[[Optimal tuning]]s:
+* [[CTE]]: ~7/5 = 1\2, ~3/2 = 723.3709
+* [[POTE]]: ~7/5 = 1\2, ~3/2 = 728.874
 [[Minimax tuning]]:
-* [[7-odd-limit7-]] and [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5
+* [[7-odd-limit|7-]] and [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5
 {{Optimal ET sequence|legend=1| 8d, 10, 18, 28b }}
@@ Line 122: / Line 151: @@
 Mapping: {{mapping| 2 0 -5 -4 7 | 0 1 3 3 0 }}
-Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 732.330
+Optimal tunings:
+* CTE: ~7/5 = 1\2, ~3/2 = 723.3709
+* POTE: ~7/5 = 1\2, ~3/2 = 732.330
-{{Optimal ET sequence|legend=1| 8d, 10, 18e }}
+Optimal ET sequence: {{Optimal ET sequence| 8d, 10, 18e }}
 Badness: 0.030235
@@ Line 136: / Line 167: @@
 {{Mapping|legend=1| 1 0 -3 -2 | 0 3 10 9 }}
+: mapping generators: ~2, ~10/7
 {{Multival|legend=1| 3 10 9 9 6 -7 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/5 = 560.328
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~10/7 = 638.8628
+* [[POTE]]: ~2 = 1\1, ~10/7 = 639.672
-{{Optimal ET sequence|legend=1| 2cd, 13cd, 15 }}
+{{Optimal ET sequence|legend=1| 2cd, …, 13cd, 15 }}
 [[Badness]]: 0.077857
@@ Line 152: / Line 187: @@
 Mapping: {{mapping| 1 0 -3 -2 -4 | 0 3 10 9 14 }}
-Optimal tuning (POTE): ~2 = 1\1, ~7/5 = 560.155
+Optimal tunings:
+* CTE: ~2 = 1\1, ~10/7 = 639.0363
+* POTE: ~2 = 1\1, ~10/7 = 639.845
-{{Optimal ET sequence|legend=1| 15 }}
+Optimal ET sequence: {{Optimal ET sequence| 15 }}
 Badness: 0.043195
@@ Line 165: / Line 202: @@
 Mapping: {{mapping| 1 0 -3 -2 -4 0 | 0 3 10 9 14 7 }}
-Optimal tuning (POTE): ~2 = 1\1, ~7/5 = 559.770
+Optimal tunings:
+* CTE: ~2 = 1\1, ~10/7 = 638.7168
+* POTE: ~2 = 1\1, ~10/7 = 640.230
-{{Optimal ET sequence|legend=1| 15 }}
+Optimal ET sequence: {{Optimal ET sequence| 15 }}
 Badness: 0.032653
@@ Line 178: / Line 217: @@
 Mapping: {{mapping| 15 24 35 42 52 0 | 0 0 0 0 0 1 }}
-Optimal tuning (POTE): ~22/21 = 1\15, ~13/8 = 852.924
+: mapping generators: ~22/21, ~13
+Optimal tunings:
+* CTE: ~22/21 = 1\15, ~13/8 = 840.5277 (~40/39 = 39.4723)
+* POTE: ~22/21 = 1\15, ~13/8 = 852.924 (~40/39 = 27.076)
-{{Optimal ET sequence|legend=1| 15, 30, 45bc }}
+Optimal ET sequence: {{Optimal ET sequence| 15, 30 }}
 Badness: 0.028944