Porwell family: Difference between revisions

+semiporwell
+hera
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[[Badness]]: 0.562 × 10<sup>-3</sup>
[[Badness]]: 0.562 × 10<sup>-3</sup>
== Hera ==
Subgroup: 2.3.5.7.11
[[Comma list]]: 6144/6125, 8019/8000
[[Mapping]]: [{{val| 1 0 1 4 9 }}, {{val| 0 1 1 -1 -3 }}, {{val| 0 0 -2 3 -6 }}]
Mapping generators: ~2, ~3, ~35/32
[[POTE generator]]s: ~3/2 = 701.8035, ~35/32 = 157.1649
{{Val list|legend=1| 46, 53, 84, 99, 130, 183, 313, 359, 542c, 672c }}
[[Badness]]: 2.23 × 10<sup>-3</sup>
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 351/350, 2080/2079, 4096/4095
Mapping: [{{val| 1 0 1 4 9 7 }}, {{val| 0 1 1 -1 -3 -2 }}, {{val| 0 0 -2 3 -6 -1 }}]
POTE generators: ~3/2 = 701.6641, ~35/32 = 157.1899
Vals: {{Val list| 46, 53, 84, 99, 130, 183, 313 }}
Badness: 1.30 × 10<sup>-3</sup>


== Semiporwell ==
== Semiporwell ==
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{{Val list|legend=1| 22, 46, 68, 84, 106, 130, 152, 282, 328, 480, 1112bccddee, 1242ccddee, 1722bcccdddeee }}
{{Val list|legend=1| 22, 46, 68, 84, 106, 130, 152, 282, 328, 480, 1112bccddee, 1242ccddee, 1722bcccdddeee }}


[[Badness]]: 1.253 × 10<sup>-3</sup>
[[Badness]]: 1.25 × 10<sup>-3</sup>


=== 13-limit ===
=== 13-limit ===
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Mapping: [{{val| 2 0 0 11 14 15 }}, {{val| 0 1 1 -1 -2 -1 }}, {{val| 0 0 2 -3 -1 -6 }}]
Mapping: [{{val| 2 0 0 11 14 15 }}, {{val| 0 1 1 -1 -2 -1 }}, {{val| 0 0 2 -3 -1 -6 }}]


POTE generators: ~3/2 = 702.3964, ~128/99 = 442.5902
POTE generators: ~3/2 = 702.3964, ~84/65 = 442.5902


Vals: {{Val list| 22f, 38e, 46, 68, 84, 130, 198, 282, 328, 480f, 610cdef, 808cdeff, 1090ccdeefff, 1418bcccddeeefff }}
Vals: {{Val list| 22f, 38e, 46, 68, 84, 130, 198, 282, 328, 480f, 610cdef, 808cdeff, 1090ccdeefff, 1418bcccddeeefff }}


Badness: 1.220 × 10<sup>-3</sup>
Badness: 1.22 × 10<sup>-3</sup>


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]