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autopatrolled, emailconfirmed
5,030 edits
No edit summary
Line 227: Line 227:


Badness: 0.023768
Badness: 0.023768
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 52/51, 65/64, 78/77, 91/90, 100/99, 133/132
Mapping: {{mapping| 1 0 2 -1 6 4 6 9 | 0 5 1 12 -8 -1 -6 -15 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.6248
Optimal ET sequence: {{Optimal ET sequence| 19, 22, 41f }}
Badness: 0.023232


==== Necromancy ====
==== Necromancy ====
Line 253: Line 266:


Badness: 0.022032
Badness: 0.022032
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 100/99, 120/119, 133/132, 154/153, 209/208, 225/224
Mapping: {{mapping| 1 0 2 -1 6 11 6 9 | 0 5 1 12 -8 -23 -6 -15 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.7411
Optimal ET sequence: {{Optimal ET sequence| 19f, 22, 41, 63h, 104gh }}
Badness: 0.021101


==== Soothsaying ====
==== Soothsaying ====
Line 261: Line 287:
Mapping: {{mapping| 2 0 4 -2 12 15 | 0 5 1 12 -8 -12 }}
Mapping: {{mapping| 2 0 4 -2 12 15 | 0 5 1 12 -8 -12 }}


Optimal tuning (POTE): ~55/39 = 1\2, ~5/4 = 380.508
Optimal tuning (CTE): ~55/39 = 1\2, ~5/4 = 380.5385


{{Optimal ET sequence|legend=1| 22, 60, 82 }}
Optimal ET sequence: {{Optimal ET sequence| 22, 60, 82 }}


Badness: 0.055443
Badness: 0.055443
Line 274: Line 300:
Mapping: {{mapping| 2 0 4 -2 12 15 5 | 0 5 1 12 -8 -12 5 }}
Mapping: {{mapping| 2 0 4 -2 12 15 5 | 0 5 1 12 -8 -12 5 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~5/4 = 380.508
Optimal tuning (CTE): ~17/12 = 1\2, ~5/4 = 380.5533


{{Optimal ET sequence|legend=1| 22, 60, 82 }}
Optimal ET sequence: {{Optimal ET sequence| 22, 60, 82 }}


Badness: 0.035654
Badness: 0.035654
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 100/99, 133/132, 221/220, 225/224, 245/243, 273/272
Mapping: {{mapping| 2 0 4 -2 12 15 5 18 | 0 5 1 12 -8 -12 5 -15 }}
Optimal tuning (CTE): ~17/12 = 1\2, ~5/4 = 380.4704
Optimal ET sequence: {{Optimal ET sequence| 22, 60, 82 }}
Badness: 0.031291


=== Telepathy ===
=== Telepathy ===
Line 287: Line 326:
Mapping: {{mapping| 1 0 2 -1 -1 | 0 5 1 12 14 }}
Mapping: {{mapping| 1 0 2 -1 -1 | 0 5 1 12 14 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 381.019
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 381.2311


{{Optimal ET sequence|legend=1| 19e, 22, 41e, 63e }}
Optimal ET sequence: {{Optimal ET sequence| 19e, 22, 63e, 85ee }}


Badness: 0.027109
Badness: 0.027109
Line 300: Line 339:
Mapping: {{mapping| 1 0 2 -1 -1 4 | 0 5 1 12 14 -1 }}
Mapping: {{mapping| 1 0 2 -1 -1 4 | 0 5 1 12 14 -1 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 380.520
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 381.1957


{{Optimal ET sequence|legend=1| 19e, 22, 41ef }}
Optimal ET sequence: {{Optimal ET sequence| 19e, 22, 63eff }}


Badness: 0.025522
Badness: 0.025522
Line 313: Line 352:
Mapping: {{mapping| 1 0 2 -1 -1 4 -1 | 0 5 1 12 14 -1 16 }}
Mapping: {{mapping| 1 0 2 -1 -1 4 -1 | 0 5 1 12 14 -1 16 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 380.619
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 381.2884


{{Optimal ET sequence|legend=1| 19eg, 22, 41efg }}
Optimal ET sequence: {{Optimal ET sequence| 19eg, 22, 63effg }}


Badness: 0.020201
Badness: 0.020201
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 55/54, 57/56, 65/64, 76/75, 85/84, 99/98
Mapping: {{mapping| 1 0 2 -1 -1 4 -1 2 | 0 5 1 12 14 -1 16 7 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 381.4641
Optimal ET sequence: {{Optimal ET sequence| 19egh, 22 }}
Badness: 0.019004


==== Intuition ====
==== Intuition ====
Line 326: Line 378:
Mapping: {{mapping| 1 0 2 -1 -1 -2 | 0 5 1 12 14 18 }}
Mapping: {{mapping| 1 0 2 -1 -1 -2 | 0 5 1 12 14 18 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 380.483
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.8157


{{Optimal ET sequence|legend=1| 19e, 22f, 41e }}
Optimal ET sequence: {{Optimal ET sequence| 19e, 22f, 41e, 63ef }}


Badness: 0.026089
Badness: 0.026089
Line 339: Line 391:
Mapping: {{mapping| 1 0 2 -1 -1 -2 -1 | 0 5 1 12 14 18 16 }}
Mapping: {{mapping| 1 0 2 -1 -1 -2 -1 | 0 5 1 12 14 18 16 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 380.604
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.9518


{{Optimal ET sequence|legend=1| 19eg, 22f, 41eg }}
Optimal ET sequence: {{Optimal ET sequence| 19eg, 22f, 41eg, 63efg }}


Badness: 0.020274
Badness: 0.020274
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 55/54, 66/65, 77/76, 85/84, 99/98, 105/104
Mapping: {{mapping| 1 0 2 -1 -1 -2 -1 -4 | 0 5 1 12 14 18 16 26 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.8658
Optimal ET sequence: {{Optimal ET sequence| 19egh, 22fh, 41eg, 63efg }}
Badness: 0.019518


=== Horcrux ===
=== Horcrux ===
Line 352: Line 417:
Mapping: {{mapping| 1 0 2 -1 0 | 0 5 1 12 11 }}
Mapping: {{mapping| 1 0 2 -1 0 | 0 5 1 12 11 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 379.642
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 379.7959


{{Optimal ET sequence|legend=1| 3de, 19, 41ee, 60ee }}
Optimal ET sequence: {{Optimal ET sequence| 3de, …, 16d, 19, 41ee, 60ee }}


Badness: 0.039282
Badness: 0.039282
Line 365: Line 430:
Mapping: {{mapping| 1 0 2 -1 0 -2 | 0 5 1 12 11 18 }}
Mapping: {{mapping| 1 0 2 -1 0 -2 | 0 5 1 12 11 18 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 379.791
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 379.8847


{{Optimal ET sequence|legend=1| 3def, 19, 41ee, 60ee }}
Optimal ET sequence: {{Optimal ET sequence| 3def, …, 19, 41ee, 60ee }}


Badness: 0.031938
Badness: 0.031938
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 45/44, 56/55, 78/77, 85/84, 245/243
Mapping: {{mapping| 1 0 2 -1 0 -2 0 | 0 5 1 12 11 18 16 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 380.2159
Optimal ET sequence: {{Optimal ET sequence| 3defg, …, 19g, 41eeg }}
Badness: 0.028074
===== Charismic =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 35/34, 45/44, 52/51, 56/55, 245/243
Mapping: {{mapping| 1 0 2 -1 0 -2 0 | 0 5 1 12 11 18 13 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 379.5237
Optimal ET sequence: {{Optimal ET sequence| 3defg, …, 19 }}
Badness: 0.029556


==== Glamour ====
==== Glamour ====
Line 376: Line 467:
Comma list: 45/44, 56/55, 65/64, 245/243
Comma list: 45/44, 56/55, 65/64, 245/243


Mapping: {{mapping| 1 0 2 -1 0 4 | 0 5 1 12 11 -1}}
Mapping: {{mapping| 1 0 2 -1 0 4 | 0 5 1 12 11 -1 }}


Optimal tuning (POTE): ~2 = 1\1, ~5/4 = 379.116
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 379.7574


{{Optimal ET sequence|legend=1| 3de, 19 }}
Optimal ET sequence: {{Optimal ET sequence| 3de, …, 16d, 19, 41eef, 60eeff }}


Badness: 0.033317
Badness: 0.033317
Line 443: Line 534:
Mapping: {{mapping| 2 0 4 -2 5 | 0 5 1 12 3 }}
Mapping: {{mapping| 2 0 4 -2 5 | 0 5 1 12 3 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~5/4 = 380.233
Optimal tuning (CTE): ~99/70 = 1\2, ~5/4 = 380.7317


{{Optimal ET sequence|legend=1| 22, 38d, 60e, 142cde }}
Optimal ET sequence: {{Optimal ET sequence| 22, 60e, 82e, 104e }}


Badness: 0.035864
Badness: 0.035864
Line 456: Line 547:
Mapping: {{mapping| 2 0 4 -2 5 -4 | 0 5 1 12 3 18 }}
Mapping: {{mapping| 2 0 4 -2 5 -4 | 0 5 1 12 3 18 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~5/4 = 379.920
Optimal tuning (CTE): ~99/70 = 1\2, ~5/4 = 380.4171


{{Optimal ET sequence|legend=1| 22f, 60e }}
Optimal ET sequence: {{Optimal ET sequence| 22f, 60e, 82ef }}


Badness: 0.034551
Badness: 0.034551
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 105/104, 121/120, 154/153, 196/195, 245/243
Mapping: {{mapping| 2 0 4 -2 5 -4 5 | 0 5 1 12 3 18 5 }}
Optimal tuning (CTE): ~17/12 = 1\2, ~5/4 = 380.4329
Optimal ET sequence: {{Optimal ET sequence| 22f, 60e, 82ef }}
Badness: 0.023775


=== Hocus ===
=== Hocus ===
Line 469: Line 573:
Mapping: {{mapping| 1 5 3 11 12 | 0 -10 -2 -24 -25 }}
Mapping: {{mapping| 1 5 3 11 12 | 0 -10 -2 -24 -25 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 409.910
Optimal tuning (CTE): ~2 = 1\1, ~14/11 = 409.7603


{{Optimal ET sequence|legend=1| 38d, 41, 120cd, 161cd, 202cd }}
Optimal ET sequence: {{Optimal ET sequence| 38d, 41 }}


Badness: 0.038519
Badness: 0.038519
Line 482: Line 586:
Mapping: {{mapping| 1 5 3 11 12 16 | 0 -10 -2 -24 -25 -36 }}
Mapping: {{mapping| 1 5 3 11 12 16 | 0 -10 -2 -24 -25 -36 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 410.004
Optimal tuning (CTE): ~2 = 1\1, ~14/11 = 409.8421


{{Optimal ET sequence|legend=1| 41, 79d, 120cd }}
Optimal ET sequence: {{Optimal ET sequence| 38df, 41 }}


Badness: 0.030280
Badness: 0.030280
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 105/104, 154/153, 196/195, 243/242, 245/242
Mapping: {{mapping| 1 5 3 11 12 16 14 | 0 -10 -2 -24 -25 -36 -29 }}
Optimal tuning (CTE): ~2 = 1\1, ~14/11 = 409.8958
Optimal ET sequence: {{Optimal ET sequence| 38df, 41, 120cdg, 161cdg, 202ccddfgg }}
Badness: 0.025491
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 105/104, 154/153, 196/195, 243/242, 245/242
Mapping: {{mapping| 1 5 3 11 12 16 14 8 | 0 -10 -2 -24 -25 -36 -29 -11 }}
Optimal tuning (CTE): ~2 = 1\1, ~14/11 = 409.8836
Optimal ET sequence: {{Optimal ET sequence| 38df, 41, 120cdgh, 161cdgh, 202ccddfgghh }}
Badness: 0.020277


== Muggles ==
== Muggles ==
Line 582: Line 712:
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 377.385
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 377.385


{{Optimal ET sequence|legend=1| 13b, 16, 19d, 35d }}
{{Optimal ET sequence|legend=1| 3d, …, 13b, 16, 19d, 35d }}


[[Badness]]: 0.084213
[[Badness]]: 0.084213
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 36/35, 45/44, 363/343
Mapping: {{mapping| 1 0 2 0 0 | 0 5 1 9 11 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 377.388
Optimal ET sequence: {{Optimal ET sequence| 3de, …, 13be, 16, 19d, 35d }}
Badness: 0.046775
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 27/26, 36/35, 45/44, 363/343
Mapping: {{mapping| 1 0 2 0 0 -1 | 0 5 1 9 11 15 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 376.914
Optimal ET sequence: {{Optimal ET sequence| 3def, …, 16, 35d }}
Badness: 0.038328


== Brightstone ==
== Brightstone ==
Line 600: Line 756:


[[Badness]]: 0.088072
[[Badness]]: 0.088072
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 64/63, 100/99, 605/588
Mapping: {{mapping| 1 0 2 6 6 | 0 5 1 -10 -8 }}
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 381.790
Optimal ET sequence: {{Optimal ET sequence| 19d, 22 }}
Badness: 0.047379


== Hocum ==
== Hocum ==
Retrieved from "https://en.xen.wiki/w/Magic_family"