Ragismic family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
GPV sequences |
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Mapping generators: ~2, ~3, ~5 | Mapping generators: ~2, ~3, ~5 | ||
Optimal GPV sequence: {{Val list| 7, 19, 26, 46, 53, 72, 118f, 125f, 171ef, 190ff, 197ef, 243eff }} | |||
Badness: 0.840 × 10<sup>-3</sup> | Badness: 0.840 × 10<sup>-3</sup> | ||
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* 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7 | * 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7 | ||
Optimal GPV sequence: {{Val list| 26, 46, 72, 152f, 198, 224, 270, 494, 764, 1258 }} | |||
Badness: 0.341 × 10<sup>-3</sup> | Badness: 0.341 × 10<sup>-3</sup> | ||
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Mapping generators: ~99/70, ~3, ~5 | Mapping generators: ~99/70, ~3, ~5 | ||
Optimal GPV sequence: {{Val list| 46, 72f, 106, 118, 152, 224, 270, 494, 764, 1106, 1376, 1870 }} | |||
Badness: 0.549 × 10<sup>-3</sup> | Badness: 0.549 × 10<sup>-3</sup> | ||
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* 15-odd-limit eigenmonzos: 2, 8/7, 15/11 | * 15-odd-limit eigenmonzos: 2, 8/7, 15/11 | ||
Optimal GPV sequence: {{Val list| 34d, 46, 80, 144, 178, 190, 224, 494, 684, 764, 954, 1178, 1448, 6970ceeff, 8418ceeff }} | |||
Badness: 0.322 × 10<sup>-3</sup> | Badness: 0.322 × 10<sup>-3</sup> | ||
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Mapping generators: ~2, ~343/198, ~5 | Mapping generators: ~2, ~343/198, ~5 | ||
{{Val list|legend=1| 270, 342, 612, 954, 1547, 1817 }} | {{Val list|legend=1| 72, 198, 270, 342, 612, 954, 1205, 1475, 1547, 1817, 2159, 4660, 4930, 6819, 7089, 9590d, 11749d }} | ||
== Bragi == | == Bragi == | ||
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[[Mapping]]: [{{val| 1 0 2 -7 8 }}, {{val| 0 1 0 7 -3 }}, {{val| 0 0 3 -12 2 }}] | [[Mapping]]: [{{val| 1 0 2 -7 8 }}, {{val| 0 1 0 7 -3 }}, {{val| 0 0 3 -12 2 }}] | ||
Mapping generators: 2, ~3, ~320/297 | Mapping generators: ~2, ~3, ~320/297 | ||
{{Val list|legend=1| 46, 224, 270, 494, 764, 1053, 1547 }} | {{Val list|legend=1| 46, 111d, 159d, 178, 205, 224, 270, 494, 764, 1053, 1277, 1323, 1547, 1817, 4128, 10073bdee, 14201bdeee }} | ||
=== 13-limit === | === 13-limit === | ||
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Mapping: [{{val| 1 0 2 -7 8 -6 }}, {{val| 0 1 0 7 -3 7 }}, {{val| 0 0 3 -12 2 -13 }}] | Mapping: [{{val| 1 0 2 -7 8 -6 }}, {{val| 0 1 0 7 -3 7 }}, {{val| 0 0 3 -12 2 -13 }}] | ||
Optimal GPV sequence: {{Val list| 46, 111df, 159df, 178, 205, 224, 270, 494, 764, 1258, 1771, 2041f, 2265, 2535f }} | |||
== Vidar == | == Vidar == | ||
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Mapping generators: ~2, ~3, ~55/32 | Mapping generators: ~2, ~3, ~55/32 | ||
{{Val list|legend=1| 46, 224, 270, 494, 764, 1395, 1889 }} | {{Val list|legend=1| 46, 91, 133d, 137d, 178, 224, 270, 494, 764, 1395, 1619, 1665, 1889, 2159, 2653, 4812, 7735, 9894 }} | ||
=== 13-limit === | === 13-limit === | ||
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Mapping: [{{val| 1 0 0 1 5 6 }}, {{val| 0 1 -1 11 1 2 }}, {{val| 0 0 5 -20 -4 -7 }}] | Mapping: [{{val| 1 0 0 1 5 6 }}, {{val| 0 1 -1 11 1 2 }}, {{val| 0 0 5 -20 -4 -7 }}] | ||
Optimal GPV sequence: {{Val list| 46, 87d, 91, 133d, 137d, 178, 224, 270, 494, 764, 1125, 1395, 1619, 1665, 1889, 4048, 4542, 6431f }} | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Ragismic family| ]] <!-- main article --> | [[Category:Ragismic family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||