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 sequence44e, 118, 149, 193, 311, 460, 653, 795, 988g, 1106, 1448, 1759

Badness: 2.031