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| Badness: 0.017745 | | Badness: 0.017745 |
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| == Countermiracle ==
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| The ''countermiracle'' temperament (31 & 145) tempers out the trimyna, 50421/50000 and the [[quince comma]], 823543/819200.
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| {{todo|inline=1|explain relationship to miracle|comment=There's clearly ''some'' relationship, since the extensions are named the same way, but the nature of that relationship isn't obvious from looking at this page.}}
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 6144/6125, 50421/50000
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| {{Mapping|legend=1| 1 4 3 3 | 0 -25 -7 -2 }}
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| : Mapping generators: ~2, ~343/320
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| [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~343/320 = 115.9169
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| {{Optimal ET sequence|legend=1| 31, 114, 145, 176, 559cc, 735cc }}
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| [[Badness]]: 0.102326
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 441/440, 3388/3375, 6144/6125
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| Mapping: {{mapping| 1 4 3 3 8 | 0 -25 -7 -2 -47 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.9158
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| {{Optimal ET sequence|legend=1| 31, 114e, 145, 176 }}
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| Badness: 0.039162
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| ==== Countermiraculous ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 196/195, 352/351, 1001/1000, 6144/6125
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| Mapping: {{mapping| 1 4 3 3 8 1 | 0 -25 -7 -2 -47 28 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.8803
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| {{Optimal ET sequence|legend=1| 31, 83e, 114e, 145, 321ceff }}
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| Badness: 0.039271
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| ===== 17-limit =====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 196/195, 256/255, 352/351, 1001/1000, 1225/1224
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| Mapping: {{mapping| 1 4 3 3 8 1 1 | 0 -25 -7 -2 -47 28 32 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.8756
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| {{Optimal ET sequence|legend=1| 31, 83e, 114e, 145 }}
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| Badness: 0.029496
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| ==== Counterbenediction ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 351/350, 441/440, 3146/3125, 3584/3575
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| Mapping: {{mapping| 1 4 3 3 8 -2 | 0 -25 -7 -2 -47 59 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.9335
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| {{Optimal ET sequence|legend=1| 31, 114ef, 145f, 176, 207, 383c, 590cc }}
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| Badness: 0.045569
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| ===== 17-limit =====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 351/350, 441/440, 561/560, 1632/1625, 3146/3125
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| Mapping: {{mapping| 1 4 3 3 8 -2 -2 | 0 -25 -7 -2 -47 59 63 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.9391
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| {{Optimal ET sequence|legend=1| 31, 114efg, 145fg, 176, 207 }}
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| Badness: 0.036289
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| ==== Countermanna ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 364/363, 441/440, 3388/3375, 6144/6125
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| Mapping: {{mapping| 1 4 3 3 8 15 | 0 -25 -7 -2 -47 -117 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.8898
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| {{Optimal ET sequence|legend=1| 145, 176, 321ce }}
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| Badness: 0.053409
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| ===== 17-limit =====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 364/363, 441/440, 595/594, 1632/1625, 3388/3375
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| Mapping: {{mapping| 1 4 3 3 8 15 15 | 0 -25 -7 -2 -47 -117 -113 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~77/72 = 115.8832
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| {{Optimal ET sequence|legend=1| 145, 321ce }}
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| Badness: 0.040898
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| === Counterrevelation ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 121/120, 176/175, 50421/50000
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| Mapping: {{mapping| 1 4 3 3 5 | 0 -25 -7 -2 -16 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~343/320 = 115.9192
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| {{Optimal ET sequence|legend=1| 31, 114, 145e, 176e }}
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| Badness: 0.064070
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 121/120, 176/175, 196/195, 13750/13689
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| Mapping: {{mapping| 1 4 3 3 5 1 | 0 -25 -7 -2 -16 28 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~273/256 = 115.8624
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| {{Optimal ET sequence|legend=1| 31, 83, 114, 145e }}
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| Badness: 0.057497
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| ==== 17-limit ====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 121/120, 154/153, 176/175, 196/195, 10647/10625
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| Mapping: {{mapping| 1 4 3 3 5 1 1 | 0 -25 -7 -2 -16 28 32 }}
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| Optimal tuning (POTE): ~2 = 1\1, ~91/85 = 115.8527
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| {{Optimal ET sequence|legend=1| 31, 83, 114, 145e }}
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| Badness: 0.044043
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| == Absurdity == | | == Absurdity == |