User:Francium/Miscellaneous rank-2 temperaments: Difference between revisions
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In this page I explore some unnamed rank-2 temperaments, that catched my interest. | In this page I explore some unnamed rank-2 temperaments, that catched my interest. | ||
==53 & 307== | |||
Subgroup: 2.9.5 | Subgroup: 2.9.5 | ||
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Possible temperament family: Schismatic | Possible temperament family: Schismatic | ||
==31 & 317== | |||
Subgroup: 2.5.7 | |||
Comma list: 281484423828125/281474976710656 | |||
Mapping: [{{val|1 0 6}}, {{val|0 8 -11}} | |||
POTE generator: ~49/40 = 348.2889 | |||
{{Optimal ET sequence|legend=1|7, 24, 31, 224, 255, 286, 317, 348, 379, 410, 789, 6691, 7480, 8269, 9058, 9847, 10636 }} | |||
TE error: 0.000570 cents/octave | |||
===11-limit=== | |||
Subgroup: 2.5.7.11 | |||
Comma list: 5767168/5764801, 537109375/536870912 | |||
Mapping: [{{val|1 0 6 29}}, {{val|0 8 -11 -88}}] | |||
POTE generator: ~11/9 = 348.2809 | |||
TE error: 0.021291 cents/octave | |||
===31 & 449=== | ===31 & 449=== | ||
Revision as of 19:48, 29 June 2023
In this page I explore some unnamed rank-2 temperaments, that catched my interest.
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
31 & 317
Subgroup: 2.5.7
Comma list: 281484423828125/281474976710656
Mapping: [⟨1 0 6], ⟨0 8 -11]
POTE generator: ~49/40 = 348.2889
Optimal ET sequence: 7, 24, 31, 224, 255, 286, 317, 348, 379, 410, 789, 6691, 7480, 8269, 9058, 9847, 10636
TE error: 0.000570 cents/octave
11-limit
Subgroup: 2.5.7.11
Comma list: 5767168/5764801, 537109375/536870912
Mapping: [⟨1 0 6 29], ⟨0 8 -11 -88]]
POTE generator: ~11/9 = 348.2809
TE error: 0.021291 cents/octave
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