22nd-octave temperaments: Difference between revisions
documenting bibium, will document the rest of limits after lunch |
→Bibium: it's contorted 7-limit so down to 11 |
||
| Line 33: | Line 33: | ||
== Bibium == | == Bibium == | ||
Bibium is named after an "extended provisional name" for the 22nd element [[wikipedia:titanium|titanium]], which is needed to resolve a name conflict as [[Titanium]] is already a temperament. | Bibium is named after an "extended provisional name" for the 22nd element [[wikipedia:titanium|titanium]], which is needed to resolve a name conflict as [[Titanium]] is already a temperament. | ||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 9801/9800, 2166612408926208/2162550048828125 | |||
Mapping: [{{val|22 2 10 33 72}}, {{val|0 8 10 7 1}}] | |||
Mapping generators: ~48125/46656 = 1\22, 4296875/3779136 = 224.101 | |||
Optimal tuning (CTE): ~4296875/3779136 = 224.101 | |||
[[Support]]ing [[ET]]s: {{EDOs|198, 616, 814, 1012, 1210}} | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 45: | Line 59: | ||
[[Support]]ing [[ET]]s: {{EDOs|198, 616, 814, 1012, 1210}} | [[Support]]ing [[ET]]s: {{EDOs|198, 616, 814, 1012, 1210}} | ||
[[Category:22edo]] | [[Category:22edo]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||