User:Francium/Miscellaneous rank-2 temperaments: Difference between revisions
→11-limit: +optimal ET sequence |
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In this page I explore some unnamed rank-2 temperaments, that catched my interest. | In this page I explore some unnamed rank-2 temperaments, that catched my interest. | ||
==19 & 251== | |||
Subgroup: 2.3.5 | |||
Comma list: {{monzo|22 33 -32}} | |||
Mapping: [{{val|1 10 11}}, {{val|0 -32 -33}}] | |||
POTE generator: ~6/5 = 315.5643 | |||
{{Optimal ET sequence|legend=1|19, 156bc, 175bc, 194bc, 213, 232, 251, 270, 289, 559, 1407, 1966, 2525, 10659c}} | |||
Badness: 2.830 | |||
===7-limit=== | |||
Subgroup: 2.3.5.7 | |||
Comma list: 4375/4374, 7710244864/7688671875 | |||
Mapping: [{{val|1 10 11 27}}, {{val|0 -32 -33 -92}}] | |||
POTE generator: ~6/5 = 315.5565 | |||
Badness: 1.422 | |||
==31 & 317== | ==31 & 317== | ||
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Comma list: 281484423828125/281474976710656 | Comma list: 281484423828125/281474976710656 | ||
Mapping: [{{val|1 0 6}}, {{val|0 8 -11}} | Mapping: [{{val|1 0 6}}, {{val|0 8 -11}}] | ||
POTE generator: ~49/40 = 348.2889 | POTE generator: ~49/40 = 348.2889 | ||
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Comma list: [[16875/16807]], 5250987/5242880, 7381125/7340032, {{monzo|20 -4 5 -9}} | Comma list: [[16875/16807]], 5250987/5242880, 7381125/7340032, {{monzo|20 -4 5 -9}} | ||
Mapping: [{{val|1 4 -8 -4}}, {{val|0 -11 47 31}} | Mapping: [{{val|1 4 -8 -4}}, {{val|0 -11 47 31}}] | ||
POTE generator: ~7/6 = 263.5183 | POTE generator: ~7/6 = 263.5183 | ||
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Comma list: [[2401/2400]], {{monzo|40 -27 0 1}}, {{monzo|35 -28 -2 5}}, {{monzo| 45 -26 2 -3}} | Comma list: [[2401/2400]], {{monzo|40 -27 0 1}}, {{monzo|35 -28 -2 5}}, {{monzo| 45 -26 2 -3}} | ||
Mapping: [{{val|1 1 -29 -13}}, {{val|0 2 107 54}} | Mapping: [{{val|1 1 -29 -13}}, {{val|0 2 107 54}}] | ||
POTE generator: ~49/40 = 351.278 | POTE generator: ~49/40 = 351.278 | ||