Greenwoodmic temperaments

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Revision as of 01:32, 3 August 2022 by Fredg999 category edits (talk | contribs) (Removing from Category:Theory using Cat-a-lot)
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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

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

Template:Val list

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: Template:Val list

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: Template:Val list

Badness: 0.054009

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

Template:Val list

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: Template:Val list

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: Template:Val list

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: Template:Val list

Badness: 0.026212