Schismatic family: Difference between revisions
m →Pontiac |
m →Pontiac |
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== Pontiac == | == Pontiac == | ||
{{main|Pontiac}} | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Badness: 0.033677 | Badness: 0.033677 | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 352/351, 385/384, 561/560, 625/624, 729/728 | |||
Mapping: [{{val|1 0 15 -59 51 56 -91}}, {{val|0 1 -8 39 -30 -33 60}}] | |||
POTE generator: ~3/2 = 701.742 | |||
Vals: {{Val list| 53, 118, 171e, 289ef, 460eef }} | |||
Badness: 0.028891 | |||
=== Ponta === | === Ponta === | ||
The ''ponta'' temperament (53& | The ''ponta'' temperament (53&171) tempers out the [[540/539|swetisma]] and the ragisma. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 540/539, 625/624, 729/728, | Comma list: 540/539, 625/624, 729/728, 2200/2197 | ||
Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}] | Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}] | ||
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Badness: 0.023616 | Badness: 0.023616 | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 375/374, 540/539, 625/624, 729/728, 2200/2197 | |||
Mapping: [{{val|1 0 15 -59 135 56 -91}}, {{val|0 1 -8 39 -83 -33 60}}] | |||
POTE generator: ~3/2 = 701.777 | |||
Vals: {{Val list| 53, 171, 224, 395e, 619eg }} | |||
Badness: 0.022853 | |||
=== Pontic === | === Pontic === | ||
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Badness: 0.045308 | Badness: 0.045308 | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 441/440, 595/594, 625/624, 729/728, 2880/2873 | |||
Mapping: [{{val|1 0 15 -59 -136 56 -91}}, {{val|0 1 -8 39 88 -33 60}}] | |||
POTE generator: ~3/2 = 701.740 | |||
Vals: {{Val list| 53e, 118, 171, 289f, 460ef }} | |||
Badness: 0.029618 | |||
=== Bipont === | === Bipont === | ||