User:Francium/Miscellaneous rank-4 temperaments
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On this page, I explore some unnamed rank-4 temperaments that catched my interest.
193 & 311 & 653 & 1759
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 3025/3024, 5985/5984, 4200/4199, 3520/3519, 12397/12393
Mapping:
| [⟨ | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 5 | 5 | ], |
| ⟨ | 0 | 1 | 0 | 1 | 2 | 5 | -1 | -2 | 1 | ], |
| ⟨ | 0 | 0 | 2 | 0 | -2 | 10 | -1 | -5 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 2 | 1 | -3 | 3 | 2 | -2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, 3/2 = 701.976, ~1540/1377 = 193.082, ~55/36 = 733.392
Optimal ET sequence: 44e, 118, 149, 193, 311, 460, 653, 795, 988g, 1106, 1448, 1759
Badness: 2.031