Maja family: Difference between revisions
→13-limit: Add an alternate name. |
The comma basis was wrong |
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== Maja == | == Maja == | ||
Subgroup: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
[[Comma]]: 762939453125/753145430616 | [[Comma list]]: 762939453125/753145430616 | ||
[[POTE generator]]: ~125/81 = 747.198 | [[POTE generator]]: ~125/81 = 747.198 | ||
| Line 42: | Line 42: | ||
Badness: 0.049991 | Badness: 0.049991 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: | Comma list: 99/98, 121/120, 169/168, 275/273 | ||
Mapping: [{{val|1 8 11 13 11 12}}, {{val|0 -17 -23 -27 -20 -22}}] | Mapping: [{{val|1 8 11 13 11 12}}, {{val|0 -17 -23 -27 -20 -22}}] | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Maja family| ]] <!-- main article --> | |||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 15:17, 3 August 2022
The maja family tempers out the maja comma, [-3 -23 17⟩ = 762939453125/753145430616.
Maja
Subgroup: 2.3.5
Comma list: 762939453125/753145430616
POTE generator: ~125/81 = 747.198
Mapping: [⟨1 8 11], ⟨0 -17 -23]]
Badness: 0.361013
7-limit
Subgroup: 2.3.5.7
Comma list: 2430/2401, 3125/3087
Mapping: [⟨1 8 11 13], ⟨0 -17 -23 -27]]
Wedgie: ⟨⟨ 17 23 27 -3 -5 -2 ]]
POTE generator: ~125/81 = 747.145
Badness: 0.089454
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 121/120, 3125/3087
Mapping: [⟨1 8 11 13 11], ⟨0 -17 -23 -27 -20]]
POTE generator: ~77/50 = 747.100
Optimal GPV sequence: Template:Val list
Badness: 0.049991
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 121/120, 169/168, 275/273
Mapping: [⟨1 8 11 13 11 12], ⟨0 -17 -23 -27 -20 -22]]
POTE generator: ~20/13 = 747.095
Optimal GPV sequence: Template:Val list
Badness: 0.027532
Majo
Subgroup: 2.3.5.7
Comma list: 6144/6125, 1250000/1240029
Mapping: [⟨1 8 11 -7], ⟨0 -17 -23 26]]
Wedgie: ⟨⟨ 17 23 -26 -3 -89 -125 ]]
POTE generator: ~125/81 = 747.264
Badness: 0.140489
11-limit
Subgroup: 2.3.5.7.11
Comma list: 2200/2187, 3388/3375, 6144/6125
Mapping: [⟨1 8 11 -7 31], ⟨0 -17 -23 26 -73]]
POTE generator: ~77/50 = 747.287
Optimal GPV sequence: Template:Val list
Badness: 0.081931
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 325/324, 352/351, 1001/1000, 2704/2695
Mapping: [⟨1 8 11 -7 31 12], ⟨0 -17 -23 26 -73 -22]]
POTE generator: ~20/13 = 747.286
Optimal GPV sequence: Template:Val list
Badness: 0.043128