Ragismic family: Difference between revisions
→Vidar: I forgot the other generator |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
||
| Line 27: | Line 27: | ||
* [[9-odd-limit]] eigenmonzos: 2, 4/3, 7/5 | * [[9-odd-limit]] eigenmonzos: 2, 4/3, 7/5 | ||
{{ | {{Optimal ET sequence|legend=1| 19, 27, 45, 46, 53, 72, 99, 171, 441, 612, 935, 1106, 1277, 1547, 1718, 4983, 6701, 8419, 17279c }} | ||
[[Projection pair]]: ~7 = ~4374/625 | [[Projection pair]]: ~7 = ~4374/625 | ||
| Line 42: | Line 42: | ||
Mapping generators: ~2, ~3, ~5 | Mapping generators: ~2, ~3, ~5 | ||
{{ | {{Optimal ET sequence|legend=1| 7, 19, 26, 45, 46, 53, 72, 118, 190, 315e, 361e, 433de, 623cdee }} | ||
[[Badness]]: 0.721 × 10<sup>-3</sup> | [[Badness]]: 0.721 × 10<sup>-3</sup> | ||
| Line 55: | Line 55: | ||
Mapping generators: ~2, ~3, ~5 | Mapping generators: ~2, ~3, ~5 | ||
Optimal | {{Optimal ET sequence|legend=1| 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> | ||
| Line 71: | Line 71: | ||
* [[11-odd-limit]] eigenmonzos: 2, 11/10, 8/7 | * [[11-odd-limit]] eigenmonzos: 2, 11/10, 8/7 | ||
{{ | {{Optimal ET sequence|legend=1| 26, 34d, 46, 72, 118, 152, 224, 270, 342, 494, 612, 836, 1106, 1448, 2554, 4002e, 5720e, 7168cee }} | ||
[[Badness]]: 0.0888 × 10<sup>-3</sup> | [[Badness]]: 0.0888 × 10<sup>-3</sup> | ||
| Line 95: | Line 95: | ||
* 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7 | * 13- and 15-odd-limit eigenmonzos: 2, 16/13, 9/7 | ||
Optimal | {{Optimal ET sequence|legend=1| 26, 46, 72, 152f, 198, 224, 270, 494, 764, 1258 }} | ||
Badness: 0.341 × 10<sup>-3</sup> | Badness: 0.341 × 10<sup>-3</sup> | ||
| Line 108: | Line 108: | ||
Mapping generators: ~99/70, ~3, ~5 | Mapping generators: ~99/70, ~3, ~5 | ||
Optimal | {{Optimal ET sequence|legend=1| 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> | ||
| Line 131: | Line 131: | ||
* 15-odd-limit eigenmonzos: 2, 8/7, 15/11 | * 15-odd-limit eigenmonzos: 2, 8/7, 15/11 | ||
Optimal | {{Optimal ET sequence|legend=1| 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> | ||
| Line 146: | Line 146: | ||
Mapping generators: ~2, ~343/198, ~5 | Mapping generators: ~2, ~343/198, ~5 | ||
{{ | {{Optimal ET sequence|legend=1| 72, 198, 270, 342, 612, 954, 1205, 1475, 1547, 1817, 2159, 4660, 4930, 6819, 7089, 9590d, 11749d }} | ||
== Bragi == | == Bragi == | ||
| Line 157: | Line 157: | ||
Mapping generators: ~2, ~3, ~320/297 | Mapping generators: ~2, ~3, ~320/297 | ||
{{ | {{Optimal ET sequence|legend=1| 46, 111d, 159d, 178, 205, 224, 270, 494, 764, 1053, 1277, 1323, 1547, 1817, 4128, 10073bdee, 14201bdeee }} | ||
=== 13-limit === | === 13-limit === | ||
| Line 166: | Line 166: | ||
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 | {{Optimal ET sequence|legend=1| 46, 111df, 159df, 178, 205, 224, 270, 494, 764, 1258, 1771, 2041f, 2265, 2535f }} | ||
== Vidar == | == Vidar == | ||
| Line 177: | Line 177: | ||
Mapping generators: ~2, ~3, ~96/55 | Mapping generators: ~2, ~3, ~96/55 | ||
{{ | {{Optimal ET sequence|legend=1| 46, 91, 133d, 137d, 178, 224, 270, 494, 764, 1395, 1619, 1665, 1889, 2159, 2653, 4812, 7735, 9894 }} | ||
=== 13-limit === | === 13-limit === | ||
| Line 186: | Line 186: | ||
Mapping: [{{val| 1 0 0 1 5 6 }}, {{val| 0 1 4 -9 -3 -5 }}, {{val| 0 0 -5 20 4 7 }}] | Mapping: [{{val| 1 0 0 1 5 6 }}, {{val| 0 1 4 -9 -3 -5 }}, {{val| 0 0 -5 20 4 7 }}] | ||
Optimal | {{Optimal ET sequence|legend=1| 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]] | ||