Quindromeda family: Difference between revisions
Created page with "The '''quindromeda family''' tempers out {{monzo| 56 -28 -5 }}, equating the Pythagorean comma with a stack of five schismas, making it a member of the schismic-Pyth..." |
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[[Comma list]]: 3136/3125, 33554432/33480783 | [[Comma list]]: 3136/3125, 33554432/33480783 | ||
[[Mapping]]: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}] | [[Mapping]]: [{{val| 1 2 0 -3 }}, {{val| 0 -5 28 70 }}] | ||
{{Multival|legend=1|5 -28 -70 -56 -125 -84}} | {{Multival|legend=1| 5 -28 -70 -56 -125 -84 }} | ||
[[POTE generator]]: ~200/189 = 99.555 | [[POTE generator]]: ~200/189 = 99.555 | ||
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Comma list: 441/440, 3136/3125, 7168000/7144929 | Comma list: 441/440, 3136/3125, 7168000/7144929 | ||
Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}] | Mapping: [{{val| 1 2 0 -3 -5 }}, {{val| 0 -5 28 70 102 }}] | ||
POTE generator: ~35/33 = 99.539 | POTE generator: ~35/33 = 99.539 | ||
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Comma list: 364/363, 441/440, 3136/3125, 13720/13689 | Comma list: 364/363, 441/440, 3136/3125, 13720/13689 | ||
Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}] | Mapping: [{{val| 1 2 0 -3 -5 -7 }}, {{val| 0 -5 28 70 102 129 }}] | ||
POTE generator: ~35/33 = 99.541 | POTE generator: ~35/33 = 99.541 | ||
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Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750 | Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750 | ||
Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}] | Mapping: [{{val| 1 2 0 -3 -5 -7 5 }}, {{val| 0 -5 28 70 102 129 -11 }}] | ||
POTE generator: ~18/17 = 99.540 | POTE generator: ~18/17 = 99.540 | ||
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Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750 | Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750 | ||
Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}] | Mapping: [{{val| 1 2 0 -3 -5 -7 5 4 }}, {{val| 0 -5 28 70 102 129 -11 3 }}] | ||
POTE generator: ~18/17 = 99.541 | POTE generator: ~18/17 = 99.541 | ||
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Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049 | Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049 | ||
Mapping: [{{val|1 2 0 -3 -5 11}}, {{val|0 -5 28 70 102 -88}}] | Mapping: [{{val| 1 2 0 -3 -5 11 }}, {{val| 0 -5 28 70 102 -88 }}] | ||
POTE generator: ~35/33 = 99.537 | POTE generator: ~35/33 = 99.537 | ||
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Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125 | Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125 | ||
Mapping: [{{val|1 2 0 -3 -5 11 5}}, {{val|0 -5 28 70 102 -88 -11}}] | Mapping: [{{val| 1 2 0 -3 -5 11 5 }}, {{val| 0 -5 28 70 102 -88 -11 }}] | ||
POTE generator: ~18/17 = 99.537 | POTE generator: ~18/17 = 99.537 | ||
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Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600 | Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600 | ||
Mapping: [{{val|1 2 0 -3 -5 11 5 4}}, {{val|0 -5 28 70 102 -88 -11 3}}] | Mapping: [{{val| 1 2 0 -3 -5 11 5 4 }}, {{val| 0 -5 28 70 102 -88 -11 3 }}] | ||
POTE generator: ~18/17 = 99.537 | POTE generator: ~18/17 = 99.537 | ||
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Comma list: 3136/3125, 19712/19683, 41503/41472 | Comma list: 3136/3125, 19712/19683, 41503/41472 | ||
Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}] | Mapping: [{{val| 1 2 0 -3 13 }}, {{val| 0 -5 28 70 -115 }}] | ||
POTE generator: ~200/189 = 99.551 | POTE generator: ~200/189 = 99.551 | ||
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Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683 | Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683 | ||
Mapping: [{{val|1 2 0 -3 13 11}}, {{val|0 -5 28 70 -115 -88}}] | Mapping: [{{val| 1 2 0 -3 13 11 }}, {{val| 0 -5 28 70 -115 -88 }}] | ||
POTE generator: ~55/52 = 99.548 | POTE generator: ~55/52 = 99.548 | ||
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Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095 | Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095 | ||
Mapping: [{{val|1 2 0 -3 13 11 5}}, {{val|0 -5 28 70 -115 -88 -11}}] | Mapping: [{{val| 1 2 0 -3 13 11 5 }}, {{val| 0 -5 28 70 -115 -88 -11 }}] | ||
POTE generator: ~18/17 = 99.548 | POTE generator: ~18/17 = 99.548 | ||
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Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728 | Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728 | ||
Mapping: [{{val|1 2 0 -3 13 11 5 4}}, {{val|0 -5 28 70 -115 -88 -11 3}}] | Mapping: [{{val| 1 2 0 -3 13 11 5 4 }}, {{val| 0 -5 28 70 -115 -88 -11 3 }}] | ||
POTE generator: ~18/17 = 99.547 | POTE generator: ~18/17 = 99.547 | ||
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Comma list: 3136/3125, 8019/8000, 15488/15435 | Comma list: 3136/3125, 8019/8000, 15488/15435 | ||
Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}] | Mapping: [{{val| 1 2 0 -3 -6 }}, {{val| 0 -5 28 70 114 }}] | ||
POTE generator: ~200/189 = 99.570 | POTE generator: ~200/189 = 99.570 | ||
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Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647 | Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647 | ||
Mapping: [{{val|1 2 0 -3 -6 -8}}, {{val|0 -5 28 70 114 141}}] | Mapping: [{{val| 1 2 0 -3 -6 -8 }}, {{val| 0 -5 28 70 114 141 }}] | ||
POTE generator: ~55/52 = 99.578 | POTE generator: ~55/52 = 99.578 | ||
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Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735 | Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735 | ||
Mapping: [{{val|1 2 0 -3 -6 -8 5}}, {{val|0 -5 28 70 114 141 -11}}] | Mapping: [{{val| 1 2 0 -3 -6 -8 5 }}, {{val| 0 -5 28 70 114 141 -11 }}] | ||
POTE generator: ~18/17 = 99.574 | POTE generator: ~18/17 = 99.574 | ||
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Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137 | Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137 | ||
Mapping: [{{val|1 2 0 -3 -6 -8 5 4}}, {{val|0 -5 28 70 114 141 -11 3}}] | Mapping: [{{val| 1 2 0 -3 -6 -8 5 4 }}, {{val| 0 -5 28 70 114 141 -11 3 }}] | ||
POTE generator: ~18/17 = 99.575 | POTE generator: ~18/17 = 99.575 | ||
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Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455 | Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455 | ||
Mapping: [{{val|1 2 0 -3 -6 11}}, {{val|0 -5 28 70 114 -88}}] | Mapping: [{{val| 1 2 0 -3 -6 11 }}, {{val| 0 -5 28 70 114 -88 }}] | ||
POTE generator: ~200/189 = 99.556 | POTE generator: ~200/189 = 99.556 | ||
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Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095 | Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095 | ||
Mapping: [{{val|1 2 0 -3 -6 11 5}}, {{val|0 -5 28 70 114 -88 -11}}] | Mapping: [{{val| 1 2 0 -3 -6 11 5 }}, {{val| 0 -5 28 70 114 -88 -11 }}] | ||
POTE generator: ~18/17 = 99.556 | POTE generator: ~18/17 = 99.556 | ||
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Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728 | Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728 | ||
Mapping: [{{val|1 2 0 -3 -6 11 5 4}}, {{val|0 -5 28 70 114 -88 -11 3}}] | Mapping: [{{val| 1 2 0 -3 -6 11 5 4 }}, {{val| 0 -5 28 70 114 -88 -11 3 }}] | ||
POTE generator: ~18/17 = 99.557 | POTE generator: ~18/17 = 99.557 | ||
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[[Comma list]]: 4375/4374, 72057594037927936/71489976421753125 | [[Comma list]]: 4375/4374, 72057594037927936/71489976421753125 | ||
[[Mapping]]: [{{val|1 2 0 15}}, {{val|0 -5 28 -147}}] | [[Mapping]]: [{{val| 1 2 0 15 }}, {{val| 0 -5 28 -147 }}] | ||
{{Multival|legend=1| 5 -28 147 -56 219 420 }} | {{Multival|legend=1| 5 -28 147 -56 219 420 }} | ||
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Comma list: 4375/4374, 5632/5625, 25165824/25109315 | Comma list: 4375/4374, 5632/5625, 25165824/25109315 | ||
Mapping: [{{val|1 2 0 15 -5}}, {{val|0 -5 28 -147 102}}] | Mapping: [{{val| 1 2 0 15 -5 }}, {{val| 0 -5 28 -147 102 }}] | ||
POTE generator: ~17325/16384 = 99.529 | POTE generator: ~17325/16384 = 99.529 | ||
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Comma list: 2080/2079, 4375/4374, 5632/5625, 20480/20449 | Comma list: 2080/2079, 4375/4374, 5632/5625, 20480/20449 | ||
Mapping: [{{val|1 2 0 15 -5 11}}, {{val|0 -5 28 -147 102 -88}}] | Mapping: [{{val| 1 2 0 15 -5 11 }}, {{val| 0 -5 28 -147 102 -88 }}] | ||
POTE generator: ~4096/3861 = 99.529 | POTE generator: ~4096/3861 = 99.529 | ||
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Comma list: 1156/1155, 2080/2079, 2431/2430, 4375/4374, 5632/5625 | Comma list: 1156/1155, 2080/2079, 2431/2430, 4375/4374, 5632/5625 | ||
Mapping: [{{val|1 2 0 15 -5 11 5}}, {{val|0 -5 28 -147 102 -88 -11}}] | Mapping: [{{val| 1 2 0 15 -5 11 5 }}, {{val| 0 -5 28 -147 102 -88 -11 }}] | ||
POTE generator: ~18/17 = 99.529 | POTE generator: ~18/17 = 99.529 | ||
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Comma list: 1156/1155, 1216/1215, 1445/1444, 2080/2079, 2376/2375, 2431/2430 | Comma list: 1156/1155, 1216/1215, 1445/1444, 2080/2079, 2376/2375, 2431/2430 | ||
Mapping: [{{val|1 2 0 15 -5 11 5 4}}, {{val|0 -5 28 -147 102 -88 -11 3}}] | Mapping: [{{val| 1 2 0 15 -5 11 5 4 }}, {{val| 0 -5 28 -147 102 -88 -11 3 }}] | ||
POTE generator: ~18/17 = 99.529 | POTE generator: ~18/17 = 99.529 | ||
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[[Comma list]]: 102760448/102515625, 1220703125/1219784832 | [[Comma list]]: 102760448/102515625, 1220703125/1219784832 | ||
[[Mapping]]: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}] | [[Mapping]]: [{{val| 2 4 0 -5 }}, {{val| 0 -5 28 64 }}] | ||
[[POTE generator]]: ~1323/1250 = 99.521 | [[POTE generator]]: ~1323/1250 = 99.521 | ||
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Comma list: 5632/5625, 9801/9800, 85937500/85766121 | Comma list: 5632/5625, 9801/9800, 85937500/85766121 | ||
Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}] | Mapping: [{{val| 2 4 0 -5 -10 }}, {{val| 0 -5 28 64 102 }}] | ||
POTE generator: ~1323/1250 = 99.525 | POTE generator: ~1323/1250 = 99.525 | ||
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Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466 | Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466 | ||
Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}] | Mapping: [{{val| 2 4 0 -5 -10 -13 }}, {{val| 0 -5 28 64 102 123 }}] | ||
POTE generator: ~1323/1250 = 99.523 | POTE generator: ~1323/1250 = 99.523 | ||
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Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876 | Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876 | ||
Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}] | Mapping: [{{val| 2 4 0 -5 -10 -13 10 }}, {{val| 0 -5 28 64 102 123 -11 }}] | ||
POTE generator: ~18/17 = 99.522 | POTE generator: ~18/17 = 99.522 | ||
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Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499 | Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499 | ||
Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}] | Mapping: [{{val| 2 4 0 -5 -10 -13 10 8 }}, {{val| 0 -5 28 64 102 123 -11 3 }}] | ||
POTE generator: ~18/17 = 99.523 | POTE generator: ~18/17 = 99.523 | ||
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Badness: 0.025439 | Badness: 0.025439 | ||
[[Category:Regular temperament theory]] | |||
[[Category:Temperament family]] | |||
[[Category:Quindromeda family| ]] <!-- main article --> | |||
[[Category:Rank 2]] | |||