Chalmersia: Difference between revisions
+17-limit factorization |
+temperaments |
||
| Line 9: | Line 9: | ||
It factors into the two smallest 17-limit superparticular ratios: 123201/123200 = (194481/194480)(336141/336140). | It factors into the two smallest 17-limit superparticular ratios: 123201/123200 = (194481/194480)(336141/336140). | ||
== Temperaments == | |||
Tempering out the comma in the full 13-limit gives the rank-5 '''chalmersic temperament'''. | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Mapping]]: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 1 || 2 || 2 || 2 || 4 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 0 || 0 || 0 || -3 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 1 || 0 || 0 || 1 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 0 || 1 || 1 || 1 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 0 || 0 || 2 || 1 || ]] | |||
|} | |||
: mapping generators: ~2, ~3, ~5, ~7, ~351/280 | |||
{{Optimal ET sequence|legend=1|5e, 7, 12de, 12f, 19e, 22, 27e, 31, 46, 53, 58, 80, 104c, 111, 159, 190, 217, 224, 270, 494, 684, 764, 935, 954, 1178, 1236, 1448, 1506, 2190, 2684, 3395, 4079, 4349, 4843, 5585, 6079, 8269, 8539}} | |||
== Etymology == | == Etymology == | ||