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Ditonmic family: Difference between revisions

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=== 7-limit ===
=== 7-limit ===
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 8751645/8388608
[[Comma list]]: 126/125, 8751645/8388608


[[Mapping]]: [{{val|1 6 3 -4}}, {{val|0 -13 -2 20}}]
[[Mapping]]: [{{val|1 6 3 -4}}, {{val|0 -13 -2 20}}]
{{Multival|legend=1|13 2 -20 -27 -68 -52}}


[[POTE generator]]: ~2625/2048 = 407.954
[[POTE generator]]: ~2625/2048 = 407.954
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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 126/125, 245/242, 2079/2048
Comma list: 126/125, 245/242, 2079/2048


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POTE generator: ~14/11 = 407.892
POTE generator: ~14/11 = 407.892


Vals: {{Val list| 3, 47, 50, 53d }}
Optimal GPV sequence: {{Val list| 3, 47, 50, 53d }}


Badness: 0.100884
Badness: 0.100884


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 105/104, 126/125, 245/242, 1287/1280
Comma list: 105/104, 126/125, 245/242, 1287/1280


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POTE generator: ~14/11 = 407.887
POTE generator: ~14/11 = 407.887


Vals: {{Val list| 3, 47, 50, 53d }}
Optimal GPV sequence: {{Val list| 3, 47, 50, 53d }}


Badness: 0.054997
Badness: 0.054997


== 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. -->
Subgroup: 2.3.5.7


[[Comma list]]: 225/224, 2125764/2100875
[[Comma list]]: 225/224, 2125764/2100875


[[Mapping]]: [{{val|1 6 3 13}}, {{val|0 -13 -2 -30}}]
[[Mapping]]: [{{val|1 6 3 13}}, {{val|0 -13 -2 -30}}]
{{Multival|legend=1|13 2 30 -27 11 64}}


[[POTE generator]]: ~1225/972 = 407.690
[[POTE generator]]: ~1225/972 = 407.690
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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 225/224, 385/384, 78408/78125
Comma list: 225/224, 385/384, 78408/78125


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POTE generator: ~1225/972 = 407.741
POTE generator: ~1225/972 = 407.741


Vals: {{Val list| 50, 53, 103 }}
Optimal GPV sequence: {{Val list| 50, 53, 103 }}


Badness: 0.044329
Badness: 0.044329


==== 13-limit ====
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 225/224, 351/350, 385/384, 847/845
Comma list: 225/224, 351/350, 385/384, 847/845


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POTE generator: ~325/256 = 407.736
POTE generator: ~325/256 = 407.736


Vals: {{Val list| 50, 53, 103 }}
Optimal GPV sequence: {{Val list| 50, 53, 103 }}


Badness: 0.024352
Badness: 0.024352


=== Coditonic ===
=== Coditonic ===
Subgroup: 2.3.5.7.11
Comma list: 99/98, 176/175, 6655/6561
Comma list: 99/98, 176/175, 6655/6561


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POTE generator: ~242/189 = 407.567
POTE generator: ~242/189 = 407.567


Vals: {{Val list| 3de, 50e, 53 }}
Optimal GPV sequence: {{Val list| 3de, 50e, 53 }}


Badness: 0.063876
Badness: 0.063876


==== 13-limit ====
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 176/175, 325/324, 847/845
Comma list: 99/98, 176/175, 325/324, 847/845


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POTE generator: ~33/26 = 407.541
POTE generator: ~33/26 = 407.541


Vals: {{Val list| 3def, 53 }}
Optimal GPV sequence: {{Val list| 3def, 53 }}


Badness: 0.043989
Badness: 0.043989
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