Amity family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
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Badness: 0.019395 | Badness: 0.019395 | ||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 121/120, 154/153, 169/168, 171/170, 176/175, 190/189 | |||
Mapping: [{{val| 1 3 6 -2 6 2 -1 0 }}, {{val| 0 -5 -13 17 -9 6 18 15 }}] | |||
POTE generator: ~11/9 = 339.407 | |||
Optimal GPV sequence: {{Val list| 7, 39h, 46, 53, 99h }} | |||
Badness: 0.017513 | |||
=== Catamite === | |||
The ''catamite'' temperament (46&99e) tempers out 441/440 (werckisma) and 896/891 (pentacircle) in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit. The word "catamite" itself is a term for male homosexual, but also a play on the words "cata-" (down) and "amity." | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 441/440, 896/891, 4375/4374 | |||
Mapping: [{{val|1 3 6 -2 -7}}, {{val|0 -5 -13 17 37}}] | |||
POTE generator: ~128/105 = 339.340 | |||
Optimal GPV sequence: {{Val list| 46, 99e, 145, 244e }} | |||
Badness: 0.040976 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 196/195, 352/351, 364/363, 4375/4374 | |||
Mapping: [{{val|1 3 6 -2 -7 -11}}, {{val|0 -5 -13 17 37 52}}] | |||
POTE generator: ~128/105 = 339.313 | |||
Optimal GPV sequence: {{Val list| 46, 99ef, 145 }} | |||
Badness: 0.034215 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 196/195, 256/255, 352/351, 364/363, 1156/1155 | |||
Mapping: [{{val|1 3 6 -2 -7 -11 -1}}, {{val|0 -5 -13 17 37 52 18}}] | |||
POTE generator: ~17/14 = 339.313 | |||
Optimal GPV sequence: {{Val list| 46, 99ef, 145 }} | |||
Badness: 0.021193 | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 196/195, 256/255, 343/342, 352/351, 364/363, 476/475 | |||
Mapping: [{{val|1 3 6 -2 -7 -11 -1 -13}}, {{val|0 -5 -13 17 37 52 18 61}}] | |||
POTE generator: ~17/14 = 339.325 | |||
Optimal GPV sequence: {{Val list| 46, 99ef, 145 }} | |||
Badness: 0.018864 | |||
=== Hemiamity === | === Hemiamity === | ||
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Badness: 0.031307 | Badness: 0.031307 | ||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 352/351, 847/845, 1716/1715, 3025/3024 | |||
Mapping: [{{val| 2 1 -1 13 13 20 }}, {{val| 0 5 13 -17 -14 -29 }}] | |||
POTE generator: ~64/55 = 260.583 | |||
Optimal GPV sequence: {{Val list| 46, 106f, 152f, 198, 350f, 548cdff }} | |||
Badness: 0.025784 | |||
== Accord == | == Accord == | ||