Greenwoodmic temperaments

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These temperament temper out the greenwoodma, [-3 4 1 -2 = 405/392.

Temperaments discussed elsewhere include august, injera, schism, sidi, and superpelog.

Greenwood

See also: Apotome family #Greenwood

Subgroup: 2.3.5.7

Comma list: 405/392, 1323/1280

Mapping: [7 11 1 12], 0 0 2 1]]

Wedgie⟨⟨0 14 7 22 11 -23]]

POTE generator: ~8/7 = 241.490

Vals14c, 21, 35

Badness: 0.121752

11-limit

Subgroup: 2.3.5.7.11

Comma list: 45/44, 99/98, 1323/1280

Mapping: [7 11 1 12 9], 0 0 2 1 2]]

POTE generator: ~8/7 = 242.711

Vals: 14c, 21, 35, 49bcde, 84bbccde

Badness: 0.057471

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 27/26, 45/44, 99/98, 640/637

Mapping: [7 11 1 12 9 26], 0 0 2 1 2 0]]

POTE generator: ~8/7 = 238.607

Vals: 14c, 21, 35

Badness: 0.054009

Secund

See also: Avicennmic temperaments #Secund

Subgroup: 2.3.5.7

Comma list: 405/392, 525/512

Mapping: [1 1 3 2], 0 5 -6 7]]

Wedgie⟨⟨5 -6 7 -21 -3 33]]

POTE generator: ~16/15 = 137.958

Vals9, 17, 26, 61bc, 87bcc

Badness: 0.089840

11-limit

Subgroup: 2.3.5.7.11

Comma list: 45/44, 99/98, 385/384

Mapping: [1 1 3 2 3], 0 5 -6 7 4]]

POTE generator: ~12/11 = 137.900

Vals: 9, 17, 26, 61bc, 87bcc

Badness: 0.042562

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 27/26, 45/44, 99/98, 385/384

Mapping: [1 1 3 2 3 2], 0 5 -6 7 4 15]]

POTE generator: ~12/11 = 136.937

Vals: 9, 26f, 35

Badness: 0.049684

Secundly

Subgroup: 2.3.5.7.11.13

Comma list: 45/44, 65/64, 78/77, 99/98

Mapping: [1 1 3 2 3 3], 0 5 -6 7 4 6]]

POTE generator: ~12/11 = 137.917

Vals: 9, 17, 26, 61bcf, 87bccf

Badness: 0.026212