No-twos subgroup temperaments: Difference between revisions

m Text replacement - "Badness (Dirichlet): " to "Badness (Sintel): "
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m Text replacement - "Badness (Dirichlet): " to "Badness (Sintel): "
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[[Optimal ET sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]]
[[Optimal ET sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]]


Badness (Dirichlet): 0.535
Badness (Sintel): 0.535


=== Polturus ===
=== Polturus ===
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[[EDT]]s: 15, 13e, 28e, 43dee
[[EDT]]s: 15, 13e, 28e, 43dee


Badness (Dirichlet): 2.507
Badness (Sintel): 2.507


== BPS ==
== BPS ==
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[[Optimal ET sequence]]: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
[[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 ===
=== Alhena ===
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(Note that é is used as the wart for 11/2.)
(Note that é is used as the wart for 11/2.)


Badness (Dirichlet): 0.187
Badness (Sintel): 0.187


=== Mintra ===
=== Mintra ===
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[[Support]]ing [[ET]]s: 39, 17, 56, 22, 5, 95, 12, 61, 73, 134, 27c, 151e, 100, 90
[[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 ====
==== Tridecimal Mintra ====
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[[Support]]ing [[ET]]s: 39, 17, 22, 56, 5f, 61, 95, 100, 134, 73f, 139cf, 83cf, 173e, 178cef
[[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 ===
=== Dubhe ===
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[[Support]]ing [[ET]]s: 26, 9, 17, 43, 69, 8, 35, 95, 61, 60, 121, 25g, 112, 44
[[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 ==
== Canopus ==
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[[Optimal ET sequence]]: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]]
[[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 ===
=== Suhail ===
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[[Optimal ET sequence]]: [[39edt|b39]], [[114edt|b114]], [[153edt|b153]], [[498edt|b498cf]], [[651edt|b651cf]] <!-- b804cff is not a GPV -->
[[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 ==
== Izar ==
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[[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]]
[[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 ==
== Nekkar ==
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[[Support]]ing [[ET]]s: 22, 49, 5c, 71, 27, 17c, 120, 93, 76c, 32cc, 169d, 115, 191d, 164d
[[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 ===
=== 3.5.7.11 subgroup ===
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[[Support]]ing [[ET]]s: 22, 49, 71, 5c, 27, 120, 93, 17c, 76c, 169d, 191d, 115, 164d, 125cd
[[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 ===
=== 3.5.7.11.13 subgroup ===
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[[Support]]ing [[ET]]s: 22, 5c, 27, 49, 71f, 17cf
[[Support]]ing [[ET]]s: 22, 5c, 27, 49, 71f, 17cf


Badness (Dirichlet): 1.723
Badness (Sintel): 1.723


== Procyon ==
== Procyon ==
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[[Support]]ing [[ET]]s: b13, b157, b144, b170, b131, b183, b118, b14, b105, b12c, b196, b92, b27, b79
[[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 ===
=== Erigone ===
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[[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]], [[123edt|b123]], [[136edt|b136]]
[[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 ===
=== Remus ===
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[[Support]]ing [[ET]]s: 39, 7, 32, 71, 110, 46, 149, 188, 181
[[Support]]ing [[ET]]s: 39, 7, 32, 71, 110, 46, 149, 188, 181


Badness (Dirichlet): 0.286
Badness (Sintel): 0.286


=== Mizar ===
=== Mizar ===
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[[Support]]ing [[ET]]s: 26, 7, 19, 45, 71, 97, 33, 123, 12d, 149, 59d, 175, 64d, 85cd
[[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 ====
==== Full no-twos 17-limit ====
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[[Support]]ing [[ET]]s: 26, 71, 45, 19, 97f, 116d
[[Support]]ing [[ET]]s: 26, 71, 45, 19, 97f, 116d


Badness (Dirichlet): 0.841
Badness (Sintel): 0.841


== Tuning diagrams ==
== Tuning diagrams ==