Gamelismic clan: Difference between revisions

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@@ Line 1,135: / Line 1,135: @@
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~21/20 = 77.963
+* CTE: ~2 = 1200.000, ~22/21 = 77.963
-* POTE: ~2 = 1200.000, ~21/20 = 77.881
+* POTE: ~2 = 1200.000, ~22/21 = 77.881
 Minimax tuning:
@@ Line 1,149: / Line 1,149: @@
 Badness (Smith): 0.016687
-==== Dwynwen ====
+==== Valentino ====
 Subgroup: 2.3.5.7.11.13
-Comma list: 91/90, 121/120, 126/125, 176/175
+Comma list: 121/120, 126/125, 176/175, 196/195
-Mapping: {{mapping| 1 1 2 3 3 2 | 0 9 5 -3 7 26 }}
+Mapping: {{mapping| 1 1 2 3 3 5 | 0 9 5 -3 7 -20 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~21/20 = 78.243
+* CTE: ~2 = 1200.000, ~22/21 = 77.968
-* POTE: ~2 = 1200.000, ~21/20 = 78.219
+* POTE: ~2 = 1200.000, ~22/21 = 77.958
-{{Optimal ET sequence|legend=0| 15, 31f, 46 }}
+{{Optimal ET sequence|legend=0| 15f, 31, 46, 77 }}
-Badness (Smith): 0.023461
+Badness (Smith): 0.020665
-==== Lupercalia ====
+===== 17-limit =====
-Subgroup: 2.3.5.7.11.13
+Subgroup: 2.3.5.7.11.13.17
-Comma list: 66/65, 105/104, 121/120, 126/125
+Comma list: 121/120, 126/125, 154/153, 176/175, 196/195
-Mapping: {{mapping| 1 1 2 3 3 3 | 0 9 5 -3 7 11 }}
+Mapping: {{mapping| 1 1 2 3 3 5 5 | 0 9 5 -3 7 -20 -14 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~21/20 = 77.694
+* CTE: ~2 = 1200.000, ~22/21 = 78.003
-* POTE: ~2 = 1200.000, ~21/20 = 77.709
+* POTE: ~2 = 1200.000, ~22/21 = 78.003
-{{Optimal ET sequence|legend=0| 15, 31 }}
+{{Optimal ET sequence|legend=0| 15f, 31, 46, 77, 123e }}
-Badness (Smith): 0.021328
+Badness (Smith): 0.016768
-==== Valentino ====
+==== Lupercalia ====
 Subgroup: 2.3.5.7.11.13
-Comma list: 121/120, 126/125, 176/175, 196/195
+Comma list: 66/65, 105/104, 121/120, 126/125
-Mapping: {{mapping| 1 1 2 3 3 5 | 0 9 5 -3 7 -20 }}
+Mapping: {{mapping| 1 1 2 3 3 3 | 0 9 5 -3 7 11 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~21/20 = 77.968
+* CTE: ~2 = 1200.000, ~22/21 = 77.694
-* POTE: ~2 = 1200.000, ~21/20 = 77.958
+* POTE: ~2 = 1200.000, ~22/21 = 77.709
-{{Optimal ET sequence|legend=0| 15f, 31, 46, 77 }}
+{{Optimal ET sequence|legend=0| 15, 31 }}
-Badness (Smith): 0.020665
+Badness (Smith): 0.021328
-===== 17-limit =====
+==== Dwynwen ====
-Subgroup: 2.3.5.7.11.13.17
+Subgroup: 2.3.5.7.11.13
-Comma list: 121/120, 126/125, 154/153, 176/175, 196/195
+Comma list: 91/90, 121/120, 126/125, 176/175
-Mapping: {{mapping| 1 1 2 3 3 5 5 | 0 9 5 -3 7 -20 -14 }}
+Mapping: {{mapping| 1 1 2 3 3 2 | 0 9 5 -3 7 26 }}
 Optimal tunings:
-* CTE: ~2 = 1200.000, ~21/20 = 78.003
+* CTE: ~2 = 1200.000, ~22/21 = 78.243
-* POTE: ~2 = 1200.000, ~21/20 = 78.003
+* POTE: ~2 = 1200.000, ~22/21 = 78.219
-{{Optimal ET sequence|legend=0| 15f, 31, 46, 77, 123e }}
+{{Optimal ET sequence|legend=0| 15, 31f, 46 }}
-Badness (Smith): 0.016768
+Badness (Smith): 0.023461
 ==== Semivalentine ====
@@ Line 1,215: / Line 1,215: @@
 Mapping: {{mapping| 2 2 4 6 6 7 | 0 9 5 -3 7 3 }}
+: mapping generators: ~55/39, ~22/21
 Optimal tunings:
-* CTE: ~55/39 = 600.000, ~21/20 = 77.997
+* CTE: ~55/39 = 600.000, ~22/21 = 77.997
-* POTE: ~55/39 = 600.000, ~21/20 = 77.839
+* POTE: ~55/39 = 600.000, ~22/21 = 77.839
 {{Optimal ET sequence|legend=0| 16, 30, 46, 62, 108ef }}
@@ Line 1,230: / Line 1,232: @@
 Mapping: {{mapping| 1 1 2 3 3 4 | 0 18 10 -6 14 -9 }}
+: mapping generators: ~2, ~40/39
 Optimal tunings:
@@ Line 1,238: / Line 1,242: @@
 Badness (Smith): 0.047059
+==== Demivalentine ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 121/120, 126/125, 176/175, 676/675
+Mapping: {{mapping| 1 -8 -3 6 -4 -16 | 0 18 10 -6 14 37 }}
+: mapping generators: ~2, ~13/9
+Optimal tunings:
+* CTE: ~2 = 1200.000, ~13/9 = 638.964
+* CWE: ~2 = 1200.000, ~13/9 = 638.932
+{{Optimal ET sequence|legend=0| 15, 47ef, 62, 77 }}
+Badness (Smith): 0.0349
 === Hemivalentino ===