Maja family: Difference between revisions
The comma basis was wrong |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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[[Mapping]]: [{{val|1 8 11}}, {{val|0 -17 -23}}] | [[Mapping]]: [{{val|1 8 11}}, {{val|0 -17 -23}}] | ||
{{ | {{Optimal ET sequence|legend=1| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }} | ||
[[Badness]]: 0.361013 | [[Badness]]: 0.361013 | ||
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[[POTE generator]]: ~125/81 = 747.145 | [[POTE generator]]: ~125/81 = 747.145 | ||
{{ | {{Optimal ET sequence|legend=1| 8d, 45, 53 }} | ||
[[Badness]]: 0.089454 | [[Badness]]: 0.089454 | ||
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POTE generator: ~77/50 = 747.100 | POTE generator: ~77/50 = 747.100 | ||
Optimal | {{Optimal ET sequence|legend=1| 8d, 45e, 53 }} | ||
Badness: 0.049991 | Badness: 0.049991 | ||
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POTE generator: ~20/13 = 747.095 | POTE generator: ~20/13 = 747.095 | ||
Optimal | {{Optimal ET sequence|legend=1| 8d, 45ef, 53 }} | ||
Badness: 0.027532 | Badness: 0.027532 | ||
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[[POTE generator]]: ~125/81 = 747.264 | [[POTE generator]]: ~125/81 = 747.264 | ||
{{ | {{Optimal ET sequence|legend=1| 53, 167, 220, 493bd, 713bdd }} | ||
[[Badness]]: 0.140489 | [[Badness]]: 0.140489 | ||
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POTE generator: ~77/50 = 747.287 | POTE generator: ~77/50 = 747.287 | ||
Optimal | {{Optimal ET sequence|legend=1| 53, 114e, 167, 220, 387bd }} | ||
Badness: 0.081931 | Badness: 0.081931 | ||
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POTE generator: ~20/13 = 747.286 | POTE generator: ~20/13 = 747.286 | ||
Optimal | {{Optimal ET sequence|legend=1| 53, 114e, 167, 220, 387bd }} | ||
Badness: 0.043128 | Badness: 0.043128 | ||
Revision as of 16:10, 7 May 2023
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]]
Optimal ET sequence: 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c
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
Optimal ET sequence: 8d, 45, 53
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 ET sequence: 8d, 45e, 53
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 ET sequence: 8d, 45ef, 53
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
Optimal ET sequence: 53, 167, 220, 493bd, 713bdd
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 ET sequence: 53, 114e, 167, 220, 387bd
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 ET sequence: 53, 114e, 167, 220, 387bd
Badness: 0.043128