User:Francium/Miscellaneous rank-2 temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Francium (talk | contribs)
Francium (talk | contribs)
No edit summary
Line 2: Line 2:


===31 & 449===
===31 & 449===
alternate EDO join: 31 & 480


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 14: Line 12:


{{Optimal ET sequence|legend=1| 31, 294bbd, 325bd, 356bd, 387bd, 418d, 449, 480, 991cd }}
{{Optimal ET sequence|legend=1| 31, 294bbd, 325bd, 356bd, 387bd, 418d, 449, 480, 991cd }}
TE error: 0.189700 cents/octave


Possible temperament family: Porwell
Possible temperament family: Porwell
===53 & 307===
Subgroup: 2.9.5
Comma list: [[32805/32768]]
Mapping: [{{val|1 0 15}}, {{val|0 7 -28}}]
POTE generator: ~512/375 = 543.3531
{{Optimal ET sequence|legend=1|6, 29, 35, 41, 47, 53, 59, 171, 230, 519, 749 }}
TE error: 0.057032
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 sequence31, 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 sequence6, 29, 35, 41, 47, 53, 59, 171, 230, 519, 749

TE error: 0.057032

Possible temperament family: Schismatic