User:Recentlymaterialized/Miscellaneous rank-2 temperaments

27e & 87

Subgroup: 2.3.5.7.11.13

Comma list: 196/195, 325/324, 441/440, 1001/1000

Mapping: [⟨3 2 2 4 1 10], ⟨0 5 9 8 17 2]]

TE generators: ~63/50 = 399.995, ~91/80 = 220.689

CTE generators: 1\3, ~91/80 = 220.687

Optimal ET sequence: 27e, 60e, 87 (idk how to calculate this)

Badness: 1.058 (Sintel)

130 & 181

Subgroup: 2.3.5.7.13

Comma list: 2401/2400, 4096/4095, 492128/492075

Mapping: [⟨1 11 -22 -7 19], ⟨0 -24 62 25 -39]]

TE generators: ~2/1 = 1199.973, ~21/16 = 470.739

CTE generators: 2/1, ~21/16 = 470.749

Optimal ET sequence: 130, 441, maybe 571, 1012, sorry idk

Badness: 0.477 (Sintel)

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 1575/1573, 2080/2079, 4096/4095, 4459/4455

Mapping: [⟨1 11 -22 -7 -24 19], ⟨0 -24 62 25 70 -39]]

TE generators: ~2/1 = 1199.939, ~21/16 = 470.722

CTE generators: 2/1, ~21/16 = 470.745

Optimal ET sequence: 130, 311, 441, idk

Badness: 0.897 (Sintel)

Worsetone (12f & 67)

Subgroup: 2.3.5.7.11.13

Comma list: 81/80, 176/175, 196/195, 364/363

Mapping: [⟨1 1 0 -10 -14 -19], ⟨0 1 4 22 30 39]]

Generator tunings:

	Weil	Tenney	WE	TE
Optimized			1199.788, 698.355	1199.8021, 698.3632
Constrained			1\1, 698.471	1\1, 698.455
Destretched			1\1, 698.4784	1\1, 698.4784

Optimal ET sequence: 12f, 55f, 67

Errors (WE): −0.21 ¢, −3.81 ¢, +7.11 ¢, −2.89 ¢, +2.3 ¢, −0.65 ¢

Badness: 2.041 (Sintel)