Immunity family: Difference between revisions
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
Update keys and normalize generators |
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== Immunity == | == Immunity == | ||
Subgroup: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
[[Comma]]: 1638400/1594323 | [[Comma list]]: 1638400/1594323 | ||
[[Mapping]]: [{{val|1 0 -8}}, {{val|0 2 13}}] | [[Mapping]]: [{{val| 1 0 -8 }}, {{val| 0 2 13 }}] | ||
[[POTE | : mapping generators: ~2, ~1280/729 | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1280/729 = 952.930 | |||
{{Optimal ET sequence|legend=1| 5, 29, 34 }} | {{Optimal ET sequence|legend=1| 5, 29, 34 }} | ||
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[[Badness]]: 0.184738 | [[Badness]]: 0.184738 | ||
== | == Septimal immunity == | ||
Subgroup: 2.3.5.7 | {{See also| Slendro clan }} | ||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 49/48, 2240/2187 | [[Comma list]]: 49/48, 2240/2187 | ||
[[Mapping]]: [{{val|1 0 -8 2}}, {{val|0 2 13 1}}] | [[Mapping]]: [{{val| 1 0 -8 2 }}, {{val| 0 2 13 1 }}] | ||
{{Multival|legend=1|2 13 1 16 -4 -34}} | {{Multival|legend=1| 2 13 1 16 -4 -34 }} | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/4 = 952.445 | ||
{{Optimal ET sequence|legend=1| 5, 29, 34, 63d }} | {{Optimal ET sequence|legend=1| 5, 29, 34, 63d }} | ||
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Comma list: 49/48, 55/54, 896/891 | Comma list: 49/48, 55/54, 896/891 | ||
Mapping: [{{val|1 0 -8 2 9}}, {{val|0 2 13 1 -7}}] | Mapping: [{{val| 1 0 -8 2 9 }}, {{val| 0 2 13 1 -7 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.074 | ||
{{Optimal ET sequence|legend=1| 5, 24c, 29, 63de, 92cddee }} | {{Optimal ET sequence|legend=1| 5, 24c, 29, 63de, 92cddee }} | ||
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Mapping: [{{val|1 0 -8 2 9 -9}}, {{val|0 2 13 1 -7 16}}] | Mapping: [{{val|1 0 -8 2 9 -9}}, {{val|0 2 13 1 -7 16}}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.031 | ||
{{Optimal ET sequence|legend=1| 5, 24cf, 29, 92cddee }} | {{Optimal ET sequence|legend=1| 5, 24cf, 29, 92cddee }} | ||
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Comma list: 49/48, 100/99, 1232/1215 | Comma list: 49/48, 100/99, 1232/1215 | ||
Mapping: [{{val|1 0 -8 2 -14}}, {{val|0 2 13 1 22}}] | Mapping: [{{val| 1 0 -8 2 -14 }}, {{val| 0 2 13 1 22 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.227 | ||
{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }} | {{Optimal ET sequence|legend=1| 29, 63d, 92cdd }} | ||
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Comma list: 49/48, 91/90, 100/99, 352/351 | Comma list: 49/48, 91/90, 100/99, 352/351 | ||
Mapping: [{{val|1 0 -8 2 -14 -9}}, {{val|0 2 13 1 22 16}}] | Mapping: [{{val| 1 0 -8 2 -14 -9 }}, {{val| 0 2 13 1 22 16 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.217 | ||
{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }} | {{Optimal ET sequence|legend=1| 29, 63d, 92cdd }} | ||
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== Immunized == | == Immunized == | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 64/63, 8748/8575 | [[Comma list]]: 64/63, 8748/8575 | ||
[[Mapping]]: [{{val|1 0 -8 6}}, {{val|0 2 13 -4}}] | [[Mapping]]: [{{val| 1 0 -8 6 }}, {{val| 0 2 13 -4 }}] | ||
{{Multival|legend=1|2 13 -4 16 -12 -46}} | {{Multival|legend=1|2 13 -4 16 -12 -46}} | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~140/81 = 953.521 | ||
{{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }} | {{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }} | ||
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Comma list: 64/63, 99/98, 1944/1925 | Comma list: 64/63, 99/98, 1944/1925 | ||
Mapping: [{{val|1 0 -8 6 13}}, {{val|0 2 13 -4 -12}}] | Mapping: [{{val| 1 0 -8 6 13 }}, {{val| 0 2 13 -4 -12 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~55/32 = 953.397 | ||
{{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }} | {{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }} | ||
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== Immune == | == Immune == | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 225/224, 781250/750141 | [[Comma list]]: 225/224, 781250/750141 | ||
[[Mapping]]: [{{val|1 2 5 9}}, {{val|0 -2 -13 -30}}] | [[Mapping]]: [{{val| 1 2 5 9 }}, {{val| 0 -2 -13 -30 }}] | ||
{{Multival|legend=1|2 13 30 16 42 33}} | {{Multival|legend=1| 2 13 30 16 42 33 }} | ||
[[POTE | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1000/567 = 952.417 | ||
{{Optimal ET sequence|legend=1| 29, 34d, 63 }} | {{Optimal ET sequence|legend=1| 29, 34d, 63 }} | ||
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Comma list: 100/99, 225/224, 1331/1323 | Comma list: 100/99, 225/224, 1331/1323 | ||
Mapping: [{{val|1 2 5 9 8}}, {{val|0 -2 -13 -30 -22}}] | Mapping: [{{val| 1 2 5 9 8 }}, {{val| 0 -2 -13 -30 -22 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~121/70 = 952.411 | ||
{{Optimal ET sequence|legend=1| 29, 34d, 63 }} | {{Optimal ET sequence|legend=1| 29, 34d, 63 }} | ||
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Comma list: 100/99, 169/168, 225/224, 275/273 | Comma list: 100/99, 169/168, 225/224, 275/273 | ||
Mapping: [{{val|1 2 5 9 8 7}}, {{val|0 -2 -13 -30 -22 -16}}] | Mapping: [{{val| 1 2 5 9 8 7 }}, {{val| 0 -2 -13 -30 -22 -16 }}] | ||
POTE | Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 952.407 | ||
{{Optimal ET sequence|legend=1| 29, 34d, 63 }} | {{Optimal ET sequence|legend=1| 29, 34d, 63 }} | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Immunity family| ]] <!-- main article --> | [[Category:Immunity family| ]] <!-- main article --> | ||
[[Category:Immunity]] | [[Category:Immunity| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||