User:Francium/Miscellaneous rank-2 temperaments: Difference between revisions
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{{Optimal ET sequence|legend=1|6, 29, 35, 41, 47, 53, 59, 171, 230, 519, 749 }} | {{Optimal ET sequence|legend=1|6, 29, 35, 41, 47, 53, 59, 171, 230, 519, 749 }} | ||
TE error: 0.057032 | TE error: 0.057032 cents/octave | ||
Possible temperament family: Schismatic | Possible temperament family: Schismatic | ||
Revision as of 16:24, 16 June 2023
In this page I explore some unnamed rank-2 temperaments, that catched my interest.
31 & 449
Subgroup: 2.3.5.7
Comma list: 6144/6125, [-4 -5 -13 15⟩, [7 -4 -16 13⟩, [15 6 10 -17⟩
Mapping: [⟨1 -3 2 1], ⟨0 71 5 28]]
POTE generator: ~256/245 = 77.498
Optimal ET sequence: 31, 294bbd, 325bd, 356bd, 387bd, 418d, 449, 480, 991cd
TE error: 0.189700 cents/octave
Possible temperament family: Porwell
53 & 307
Subgroup: 2.9.5
Comma list: 32805/32768
Mapping: [⟨1 0 15], ⟨0 7 -28]]
POTE generator: ~512/375 = 543.3531
Optimal ET sequence: 6, 29, 35, 41, 47, 53, 59, 171, 230, 519, 749
TE error: 0.057032 cents/octave
Possible temperament family: Schismatic