Mabila family: Difference between revisions
Created page with "The '''mabila family''' tempers out {{monzo|28 -3 -10}} = 268435456/263671875 in the 5-limit. == Mabila == Subgroup: 2.3.5 Comma: 268435456/263671875 Mapping: [{{Va..." |
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[[Mapping]]: [{{val|1 6 1 24}}, {{val|0 -10 3 -48}}] | [[Mapping]]: [{{val|1 6 1 24}}, {{val|0 -10 3 -48}}] | ||
{{Multival|legend=1| 10 -3 48 -28 48 120 }} | |||
[[POTE generator]]: ~512/375 = 529.772 | [[POTE generator]]: ~512/375 = 529.772 | ||
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[[Mapping]]: [{{val|1 6 1 -10}}, {{val|0 -10 3 29}}] | [[Mapping]]: [{{val|1 6 1 -10}}, {{val|0 -10 3 29}}] | ||
{{Multival|legend=1| 10 -3 -29 -28 -74 -59 }} | |||
[[POTE generator]]: ~512/375 = 529.907 | [[POTE generator]]: ~512/375 = 529.907 | ||
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[[Mapping]]: [{{val|1 6 1 7}}, {{val|0 -20 6 -19}}] | [[Mapping]]: [{{val|1 6 1 7}}, {{val|0 -20 6 -19}}] | ||
{{Multival|legend=1| 20 -6 19 -56 -26 61 }} | |||
[[POTE generator]]: ~7/6 = 264.825 | [[POTE generator]]: ~7/6 = 264.825 | ||
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[[Mapping]]: [{{val|1 -4 4 7}}, {{val|0 20 -6 -15}}] | [[Mapping]]: [{{val|1 -4 4 7}}, {{val|0 20 -6 -15}}] | ||
{{Multival|legend=1| 20 -6 -15 -56 -80 -18 }} | |||
[[POTE generator]]: ~128/105 = 335.182 | [[POTE generator]]: ~128/105 = 335.182 | ||
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[[Mapping]]: [{{val|3 8 6 12}}, {{val|0 -10 3 -11}}] | [[Mapping]]: [{{val|3 8 6 12}}, {{val|0 -10 3 -11}}] | ||
{{Multival|legend=1| 30 -9 33 -84 -32 102 }} | |||
[[POTE generator]]: ~7/6 = 270.269 | [[POTE generator]]: ~7/6 = 270.269 | ||
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Badness: 0.081946 | Badness: 0.081946 | ||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 176/175, 540/539, 676/675, 1573/1568 | |||
Mapping: [{{val|3 8 6 12 12 15}}, {{val|0 -10 3 -11 -5 -12}}] | |||
POTE generator: ~7/6 = 270.254 (or ~14/13 = 129.746) | |||
Optimal GPV sequence: {{Val list| 9, 102df, 111 }} | |||
Badness: 0.040102 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 176/175, 256/255, 540/539, 676/675, 715/714 | |||
Mapping: [{{val|3 8 6 12 12 15 10}}, {{val|0 -10 3 -11 -5 -12 7}}] | |||
POTE generator: ~7/6 = 270.266 (or ~14/13 = 129.734) | |||
Optimal GPV sequence: {{Val list| 9, 102df, 111 }} | |||
Badness: 0.030657 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 176/175, 256/255, 286/285, 363/361, 476/475, 540/539 | |||
Mapping: [{{val|3 8 6 12 12 15 10 16}}, {{val|0 -10 3 -11 -5 -12 7 -10}}] | |||
POTE generator: ~7/6 = 270.260 (or ~14/13 = 129.740) | |||
Optimal GPV sequence: {{Val list| 9, 102dfh, 111 }} | |||
Badness: 0.022851 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||