Greenwoodmic temperaments: Difference between revisions
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== Greenwood == | == Greenwood == | ||
{{see also|Apotome family}} | {{see also|Apotome family #Greenwood}} | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 405/392, 1323/1280 | [[Comma list]]: 405/392, 1323/1280 | ||
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=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | |||
Comma list: 45/44, 99/98, 1323/1280 | Comma list: 45/44, 99/98, 1323/1280 | ||
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=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 27/26, 45/44, 99/98, 640/637 | Comma list: 27/26, 45/44, 99/98, 640/637 | ||
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== Secund == | == Secund == | ||
{{see also|Avicennmic temperaments #Secund}} | {{see also|Avicennmic temperaments #Secund}} | ||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 405/392, 525/512 | [[Comma list]]: 405/392, 525/512 | ||
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=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | |||
Comma list: 45/44, 99/98, 385/384 | Comma list: 45/44, 99/98, 385/384 | ||
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=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 27/26, 45/44, 99/98, 385/384 | Comma list: 27/26, 45/44, 99/98, 385/384 | ||
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=== Secundly === | === Secundly === | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 45/44, 65/64, 78/77, 99/98 | Comma list: 45/44, 65/64, 78/77, 99/98 | ||
Revision as of 01:31, 2 August 2021
These temperament temper out the greenwoodma, [-3 4 1 -2⟩ = 405/392.
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
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
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