User:Eliora/Leaves
Leaves
Defined as the 323 & 2023 temperament. 2 generators reach 17/13, 7 generators reach 5/4, 10 generators produce 13/11.
Subgroup: 2.3.5.7
Comma list: 1729951171875/1727094849536, [10 39 -14 -14⟩
Mapping: [⟨17 10 31 9], ⟨0 14 7 32]]
- mapping generators: ~25/24, ~6125/5832
Optimal ET sequence: 323, 1700d, 2023, 2346
Badness (Sintel): 32.032
11-limit
Subgroup: 2.3.5.7.11
Comma list: 160083/160000, 198359290368/198165034375, 1729951171875/1727094849536
Mapping: [⟨17 10 31 9 106], ⟨0 14 7 32 -39]]
Optimal tunings:
- CTE: ~25/24 = 70.588 ¢, ~6125/5832 = 85.421 ¢
- CWE: ~25/24 = 70.588 ¢, ~6125/5832 = 85.420 ¢
Optimal ET sequence: 323, 1700d, 2023, 2346e
Badness (Sintel): 20.456
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 160083/160000, 928125/927472, 1990656/1990625, 4831530/4826809
Mapping: [⟨17 10 31 9 106 98], ⟨0 14 7 32 -39 -29]]
Optimal tunings:
- CTE: ~25/24 = 70.588 ¢, ~1024/975 = 85.421 ¢
- CWE: ~25/24 = 70.588 ¢, ~1024/975 = 85.420 ¢
Optimal ET sequence: 323, 1700d, 2023, 2346e
Badness (Sintel): 10.096
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 39325/39304, 57375/57344, 71874/71825, 111537/111475, 140800/140777
Mapping: [⟨17 10 31 9 106 98 107], ⟨0 14 7 32 -39 -29 -31]]
Optimal tunings:
- CTE: ~25/24 = 70.588 ¢, ~765/728 = 85.421 ¢
- CWE: ~25/24 = 70.588 ¢, ~765/728 = 85.421 ¢
Optimal ET sequence: 323, 1700d, 2023, 2346e
Badness (Sintel): 6.678