Ditonmic family: Difference between revisions
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m Revised technical data for 11- and 13-limit coditone temperament (comment) |
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== Coditone == | == Coditone == | ||
<!-- Revised technical data for 11- and 13-limit by Xenllium on 10 June 2021. 11- and 13-limit coditone is for 50&53, not for 11-limit 3de&53 and 13-limit 3def&53. 11-limit 3de&53 and 13-limit 3def&53 is renamed "coditonic" by Xenllium on 10 June 2021. --> | |||
[[Comma list]]: 225/224, 2125764/2100875 | [[Comma list]]: 225/224, 2125764/2100875 | ||
Revision as of 12:34, 10 June 2021
This tempers out the ditonma, 1220703125/1207959552.
Ditonic
Subgroup: 2.3.5
Comma: 1220703125/1207959552
Mapping: [⟨1 6 3], ⟨0 -13 -2]]
POTE generator: ~15625/12288 = 407.574
Badness: 0.167086
7-limit
Comma list: 126/125, 8751645/8388608
Mapping: [⟨1 6 3 -4], ⟨0 -13 -2 20]]
POTE generator: ~2625/2048 = 407.954
Badness: 0.242101
11-limit
Comma list: 126/125, 245/242, 2079/2048
Mapping: [⟨1 6 3 -4 -3], ⟨0 -13 -2 20 19]]
POTE generator: ~14/11 = 407.892
Vals: Template:Val list
Badness: 0.100884
13-limit
Comma list: 105/104, 126/125, 245/242, 1287/1280
Mapping: [⟨1 6 3 -4 -3 2], ⟨0 -13 -2 20 19 5]]
POTE generator: ~14/11 = 407.887
Vals: Template:Val list
Badness: 0.054997
Coditone
Comma list: 225/224, 2125764/2100875
Mapping: [⟨1 6 3 13], ⟨0 -13 -2 -30]]
POTE generator: ~1225/972 = 407.690
Badness: 0.064356
11-limit
Comma list: 225/224, 385/384, 78408/78125
Mapping: [⟨1 6 3 13 -3], ⟨0 -13 -2 -30 19]]
POTE generator: ~1225/972 = 407.741
Vals: Template:Val list
Badness: 0.044329
13-limit
Comma list: 225/224, 351/350, 385/384, 847/845
Mapping: [⟨1 6 3 13 -3 2], ⟨0 -13 -2 -30 19 5]]
POTE generator: ~325/256 = 407.736
Vals: Template:Val list
Badness: 0.024352
Coditonic
Comma list: 99/98, 176/175, 6655/6561
Mapping: [⟨1 6 3 13 15], ⟨0 -13 -2 -30 -34]]
POTE generator: ~242/189 = 407.567
Vals: Template:Val list
Badness: 0.063876
13-limit
Comma list: 99/98, 176/175, 325/324, 847/845
Mapping: [⟨1 6 3 13 15 20], ⟨0 -13 -2 -30 -34 -48]]
POTE generator: ~33/26 = 407.541
Vals: Template:Val list
Badness: 0.043989