Gamelismic clan: Difference between revisions
→Superkleismic: + relationship to slendric |
added back L11.19 superkleismic, rationale for which is that it preserves the accuracy of shibboleth pretty much undamaged, while 13-limit stretches things a lot more |
||
| Line 1,373: | Line 1,373: | ||
* Smith: 0.0257 | * Smith: 0.0257 | ||
* Dirichlet: 0.848 | * Dirichlet: 0.848 | ||
==== 2.3.5.7.11.19 subgroup ==== | |||
Subgroup: 2.3.5.7.11.19 | |||
Comma list: 100/99, 133/132, 190/189, 385/384 | |||
Mapping: {{mapping| 1 4 5 2 4 8 | 0 -9 -10 3 -2 -14}} | |||
Optimal tunings: | |||
* CTE: ~2 = 1\1, ~6/5 = 321.779 | |||
* POTE: ~2 = 1\1, ~6/5 = 321.827 | |||
Optimal ET sequence: {{Optimal ET sequence| 11c, 15, 26, 41, 138e, 179cde, 220cdeh }} | |||
Badness (Dirichlet): 0.692 | |||
=== 13-limit === | === 13-limit === | ||
Superkleismic in the 13-limit does considerably more damage than in the 11-limit, as indicated by being supported by much fewer [[patent val]]s. However, this remains an obvious canonical mapping for prime 13. | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,391: | Line 1,409: | ||
* Dirichlet: 0.887 | * Dirichlet: 0.887 | ||
=== 2.3.5.7.11.13.19 subgroup === | ==== 2.3.5.7.11.13.19 subgroup ==== | ||
Subgroup: 2.3.5.7.11.13.19 | Subgroup: 2.3.5.7.11.13.19 | ||