159edo: Difference between revisions
→Mappings and JI approximation quality: re-evaluate the 19-limit and higher-limit interpretation. Linking; style |
→Regular temperament properties: as is discussed in the theory section, there's no other reasonable mappings other than the patent val |
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=== Commas === | === Commas === | ||
Assuming the | Assuming the patent val {{val| 159 252 369 446 550 588 650 675 719 }}, 159tet [[tempers out]] the following [[comma]]s in the 23-limit. | ||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
| Line 1,828: | Line 1,828: | ||
| Sululuruyoyo | | Sululuruyoyo | ||
| [[Sparkisma]] | | [[Sparkisma]] | ||
|- | |||
| 19 | |||
| 343/342 | |||
| {{monzo| -1 -2 0 3 0 0 0 -1 }} | |||
| 5.0547 | |||
| | |||
| | |||
|- | |||
| 19 | |||
| 361/360 | |||
| {{monzo| -3 -2 -1 0 0 0 0 2 }} | |||
| 4.8023 | |||
| | |||
| | |||
|- | |- | ||
|} | |} | ||
In the 23-limit, with the 19-limit skipped, this system is known to temper out 392/391, 460/459, 507/506, 529/528, 897/896, 1105/1104, 1288/1287, 2024/2023, 2025/2024, and 2646/2645 among others. | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||