Keemic temperaments

These temper out the keema, [-5 -3 3 1⟩ = 875/864. Keemic temperaments include doublewide, flattone, porcupine, superkleismic, magic, keemun, and sycamore. Discussed below are quasitemp and barbad.

Quasitemp

5-limit

Subgroup: 2.3.5

Comma list: 6103515625/5804752896

Mapping: [⟨1 5 5], ⟨0 -14 -11]]

POTE generator: ~3125/2592 = 292.702

Badness: 0.7678

7-limit

Subgroup: 2.3.5.7

Comma list: 875/864, 2401/2400

Mapping: [⟨1 5 5 5], ⟨0 -14 -11 -9]]

Wedgie: ⟨⟨ 14 11 9 -15 -25 -10 ]]

POTE generator: ~25/21 = 292.710

Badness: 0.0603

11-limit

Subgroup: 2.3.5.7.11

Comma list: 100/99, 385/384, 1375/1372

Mapping: [⟨1 5 5 5 2], ⟨0 -14 -11 -9 6]]

POTE generator: ~25/21 = 292.547

Vals: Template:Val list

Badness: 0.0432

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 100/99, 196/195, 275/273, 385/384

POTE generator: ~13/11 = 292.457

Mapping: [⟨1 5 5 5 2 2], ⟨0 -14 -11 -9 6 7]]

POTE generator: ~25/21 = 292.457

Vals: Template:Val list

Badness: 0.0329

Quato

Subgroup: 2.3.5.7.11

Comma list: 243/242, 441/440, 625/616

Mapping: [⟨1 5 5 5 12], ⟨0 -14 -11 -9 -35]]

POTE generator: ~25/21 = 292.851

Vals: Template:Val list

Badness: 0.0412

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 105/104, 243/242, 275/273, 325/324

Mapping: [⟨1 5 5 5 12 12], ⟨0 -14 -11 -9 -35 -34]]

POTE generator: ~13/11 = 292.928

Vals: Template:Val list

Badness: 0.0301

Barbad

Subgroup: 2.3.5.7

Comma list: 875/864, 16875/16807

Mapping: [⟨1 9 7 11], ⟨0 -19 -12 -21]]

POTE generator: ~98/75 = 468.331

Wedgie: ⟨⟨ 19 12 21 -25 -20 15 ]]

Badness: 0.1104

11-limit

Subgroup: 2.3.5.7.11

Comma list: 245/242, 540/539, 625/616

Mapping: [⟨1 9 7 11 14], ⟨0 -19 -12 -21 -27]]

POTE generator: ~98/75 = 468.367

Vals: Template:Val list

Badness: 0.0501

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 144/143, 196/195, 245/242, 275/273

Mapping: [⟨1 9 7 11 14 8], ⟨0 -19 -12 -21 -27 -11]]

POTE generator: ~13/10 = 468.270

Vals: Template:Val list

Badness: 0.0392