No-twos subgroup temperaments: Difference between revisions

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@@ Line 37: / Line 37: @@
 [[Optimal ET sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]]
-Badness (Dirichlet): 0.535
+Badness (Sintel): 0.535
 === Polturus ===
@@ Line 55: / Line 55: @@
 [[EDT]]s: 15, 13e, 28e, 43dee
-Badness (Dirichlet): 2.507
+Badness (Sintel): 2.507
 == BPS ==
@@ Line 74: / Line 74: @@
 [[Optimal ET sequence]]: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
-Badness (Dirichlet): 0.066
+Badness (Sintel): 0.066
 === Alhena ===
@@ Line 92: / Line 92: @@
 (Note that é is used as the wart for 11/2.)
-Badness (Dirichlet): 0.187
+Badness (Sintel): 0.187
 === Mintra ===
@@ Line 112: / Line 112: @@
 [[Support]]ing [[ET]]s: 39, 17, 56, 22, 5, 95, 12, 61, 73, 134, 27c, 151e, 100, 90
-Badness (Dirichlet): 0.302
+Badness (Sintel): 0.302
 ==== Tridecimal Mintra ====
@@ Line 130: / Line 130: @@
 [[Support]]ing [[ET]]s: 39, 17, 22, 56, 5f, 61, 95, 100, 134, 73f, 139cf, 83cf, 173e, 178cef
-Badness (Dirichlet): 0.373
+Badness (Sintel): 0.373
 === Dubhe ===
@@ Line 147: / Line 147: @@
 [[Support]]ing [[ET]]s: 26, 9, 17, 43, 69, 8, 35, 95, 61, 60, 121, 25g, 112, 44
-Badness (Dirichlet): 0.177
+Badness (Sintel): 0.177
 == Canopus ==
@@ Line 168: / Line 168: @@
 [[Optimal ET sequence]]: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]]
-Badness (Dirichlet): 0.100
+Badness (Sintel): 0.100
 === Suhail ===
@@ Line 205: / Line 205: @@
 [[Optimal ET sequence]]: [[39edt|b39]], [[114edt|b114]], [[153edt|b153]], [[498edt|b498cf]], [[651edt|b651cf]] <!-- b804cff is not a GPV -->
-Badness (Dirichlet): 0.330
+Badness (Sintel): 0.330
 == Izar ==
@@ Line 220: / Line 220: @@
 [[Optimal ET sequence]]: [[13edt|b13]], [[141edt|b141]], [[154edt|b154]], ... [[258edt|b258]], [[271edt|b271]], [[800edt|b800]], [[1071edt|b1071]], [[1342edt|b1342]], [[1613edt|b1613]], [[4568edt|b4568]], [[6181edt|b6181]]
-Badness (Dirichlet): 0.017
+Badness (Sintel): 0.017
 == Nekkar ==
@@ Line 237: / Line 237: @@
 [[Support]]ing [[ET]]s: 22, 49, 5c, 71, 27, 17c, 120, 93, 76c, 32cc, 169d, 115, 191d, 164d
-Badness (Dirichlet): 17.120
+Badness (Sintel): 17.120
 === 3.5.7.11 subgroup ===
@@ Line 256: / Line 256: @@
 [[Support]]ing [[ET]]s: 22, 49, 71, 5c, 27, 120, 93, 17c, 76c, 169d, 191d, 115, 164d, 125cd
-Badness (Dirichlet): 1.375
+Badness (Sintel): 1.375
 === 3.5.7.11.13 subgroup ===
@@ Line 273: / Line 273: @@
 [[Support]]ing [[ET]]s: 22, 5c, 27, 49, 71f, 17cf
-Badness (Dirichlet): 1.723
+Badness (Sintel): 1.723
 == Procyon ==
@@ Line 290: / Line 290: @@
 [[Support]]ing [[ET]]s: b13, b157, b144, b170, b131, b183, b118, b14, b105, b12c, b196, b92, b27, b79
-Badness (Dirichlet): 0.200
+Badness (Sintel): 0.200
 === Erigone ===
@@ Line 311: / Line 311: @@
 [[Badness]] (Smith): 0.00271
-[[Badness]] (Dirichlet): 0.21396
+[[Badness]] (Sintel): 0.21396
 ==== Hemigone ====
@@ Line 332: / Line 332: @@
 [[Badness]] (Smith): 0.00501
-[[Badness]] (Dirichlet): 0.45479
+[[Badness]] (Sintel): 0.45479
 ==== <small><small>(no-2s)</small> </small>23-limit ====
@@ Line 353: / Line 353: @@
 [[Badness]] (Smith): 0.00539
-[[Badness]] (Dirichlet): 0.54174
+[[Badness]] (Sintel): 0.54174
 == Sirius ==
@@ Line 374: / Line 374: @@
 [[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]], [[123edt|b123]], [[136edt|b136]]
-Badness (Dirichlet): 0.213
+Badness (Sintel): 0.213
 === Remus ===
@@ Line 395: / Line 395: @@
 [[Support]]ing [[ET]]s: 39, 7, 32, 71, 110, 46, 149, 188, 181
-Badness (Dirichlet): 0.286
+Badness (Sintel): 0.286
 === Mizar ===
@@ Line 412: / Line 412: @@
 [[Support]]ing [[ET]]s: 26, 7, 19, 45, 71, 97, 33, 123, 12d, 149, 59d, 175, 64d, 85cd
-Badness (Dirichlet): 0.383
+Badness (Sintel): 0.383
 ==== Full no-twos 17-limit ====
@@ Line 429: / Line 429: @@
 [[Support]]ing [[ET]]s: 26, 71, 45, 19, 97f, 116d
-Badness (Dirichlet): 0.841
+Badness (Sintel): 0.841
 == Tuning diagrams ==
@@ Line 737: / Line 737: @@
 [[Comma list]]: 3213/3211, 3971/3969, 14161/14157, 41553/41503
-[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 2}}, {{val| 0 -15 12 22 38 -21}}]
+[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 3}}, {{val| 0 -15 12 22 38 -21}}]
 Sval mapping generators: ~3, ~119/117
@@ Line 754: / Line 754: @@
 [[Comma list]]: 513/512, 729/728, 833/832, 969/968, 3971/3969
-[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 2}}, {{val| 0 -15 -7 12 22 38 -21}}]
+[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 2 3}}, {{val| 0 -15 -7 12 22 38 -21}}]
 Sval mapping generators: ~3, ~64/63
@@ Line 766: / Line 766: @@
 ==== 3.5.7.8.11.13.17.19.23 subgroup ====
-At slightly lower accuracy, [[Procyon]] can be added to the Adhara structure, thereby spanning the entire triple-octave 23-limit.
+At the cost of lower accuracy, [[Procyon]] can be added to the Adhara structure, thereby spanning the entire triple-octave 23-limit.
 [[Subgroup]]: 3.5.7.8.11.13.17.19.23
@@ Line 772: / Line 772: @@
 [[Comma list]]: 361/360, 441/440, 513/512, 729/728, 833/832, 969/968, 1127/1125
-[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 2}}, {{val| 0 -35 -15 -7 12 22 38 -21 -75}}]
+[[Sval]] [[mapping]]: [{{val| 1 2 2 2 2 2 2 3 4}}, {{val| 0 -35 -15 -7 12 22 38 -21 -75}}]
 Sval mapping generators: ~3, ~64/63
@@ Line 878: / Line 878: @@
 [[Category:Temperament collections]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Non-octave temperaments]]