Ditonmic family: Difference between revisions
m Removing from Category:Theory using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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| Line 10: | Line 10: | ||
[[POTE generator]]: ~15625/12288 = 407.574 | [[POTE generator]]: ~15625/12288 = 407.574 | ||
{{ | {{Optimal ET sequence|legend=1| 3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc }} | ||
[[Badness]]: 0.167086 | [[Badness]]: 0.167086 | ||
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[[POTE generator]]: ~2625/2048 = 407.954 | [[POTE generator]]: ~2625/2048 = 407.954 | ||
{{ | {{Optimal ET sequence|legend=1| 3, 47, 50 }} | ||
[[Badness]]: 0.242101 | [[Badness]]: 0.242101 | ||
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POTE generator: ~14/11 = 407.892 | POTE generator: ~14/11 = 407.892 | ||
Optimal | {{Optimal ET sequence|legend=1| 3, 47, 50, 53d }} | ||
Badness: 0.100884 | Badness: 0.100884 | ||
| Line 51: | Line 51: | ||
POTE generator: ~14/11 = 407.887 | POTE generator: ~14/11 = 407.887 | ||
Optimal | {{Optimal ET sequence|legend=1| 3, 47, 50, 53d }} | ||
Badness: 0.054997 | Badness: 0.054997 | ||
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[[POTE generator]]: ~1225/972 = 407.690 | [[POTE generator]]: ~1225/972 = 407.690 | ||
{{ | {{Optimal ET sequence|legend=1| 3d, 50, 53, 103, 156 }} | ||
[[Badness]]: 0.064356 | [[Badness]]: 0.064356 | ||
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POTE generator: ~1225/972 = 407.741 | POTE generator: ~1225/972 = 407.741 | ||
Optimal | {{Optimal ET sequence|legend=1| 50, 53, 103 }} | ||
Badness: 0.044329 | Badness: 0.044329 | ||
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POTE generator: ~325/256 = 407.736 | POTE generator: ~325/256 = 407.736 | ||
Optimal | {{Optimal ET sequence|legend=1| 50, 53, 103 }} | ||
Badness: 0.024352 | Badness: 0.024352 | ||
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POTE generator: ~242/189 = 407.567 | POTE generator: ~242/189 = 407.567 | ||
Optimal | {{Optimal ET sequence|legend=1| 3de, 50e, 53 }} | ||
Badness: 0.063876 | Badness: 0.063876 | ||
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POTE generator: ~33/26 = 407.541 | POTE generator: ~33/26 = 407.541 | ||
Optimal | {{Optimal ET sequence|legend=1| 3def, 53 }} | ||
Badness: 0.043989 | Badness: 0.043989 | ||
Revision as of 16:04, 7 May 2023
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
Optimal ET sequence: 3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc
Badness: 0.167086
7-limit
Subgroup: 2.3.5.7
Comma list: 126/125, 8751645/8388608
Mapping: [⟨1 6 3 -4], ⟨0 -13 -2 20]]
Wedgie: ⟨⟨ 13 2 -20 -27 -68 -52 ]]
POTE generator: ~2625/2048 = 407.954
Optimal ET sequence: 3, 47, 50
Badness: 0.242101
11-limit
Subgroup: 2.3.5.7.11
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
Optimal ET sequence: 3, 47, 50, 53d
Badness: 0.100884
13-limit
Subgroup: 2.3.5.7.11.13
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
Optimal ET sequence: 3, 47, 50, 53d
Badness: 0.054997
Coditone
Subgroup: 2.3.5.7
Comma list: 225/224, 2125764/2100875
Mapping: [⟨1 6 3 13], ⟨0 -13 -2 -30]]
Wedgie: ⟨⟨ 13 2 30 -27 11 64 ]]
POTE generator: ~1225/972 = 407.690
Optimal ET sequence: 3d, 50, 53, 103, 156
Badness: 0.064356
11-limit
Subgroup: 2.3.5.7.11
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
Optimal ET sequence: 50, 53, 103
Badness: 0.044329
13-limit
Subgroup: 2.3.5.7.11.13
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
Optimal ET sequence: 50, 53, 103
Badness: 0.024352
Coditonic
Subgroup: 2.3.5.7.11
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
Optimal ET sequence: 3de, 50e, 53
Badness: 0.063876
13-limit
Subgroup: 2.3.5.7.11.13
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
Badness: 0.043989