Mercator family: Difference between revisions
Move auric and aemillic here as they belong |
m Fix formatting |
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Badness (Sintel): 3.625 | Badness (Sintel): 3.625 | ||
== Auric == | === Auric === | ||
''Auric'', named after [[Aura]], is defined by setting the 2.3.5.11 mapping to that of 159edo and the generator for the prime 7 being independent. | ''Auric'', named after [[Aura]], is defined by setting the 2.3.5.11 mapping to that of 159edo and the generator for the prime 7 being independent. | ||
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Mapping: {{mapping| 159 252 369 0 550 | 0 0 0 1 0 }} | Mapping: {{mapping| 159 252 369 0 550 | 0 0 0 1 0 }} | ||
: mappping generators: ~243/242 | : mappping generators: ~243/242, ~7 | ||
Optimal tuning (CTE): ~7/4 = 968.726{{c}} | Optimal tuning (CTE): ~243/242 = 7.139{{c}}, ~7/4 = 968.726{{c}} | ||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 159, 318, 477c, 636c, 795cd }} | ||
== Joliet == | == Joliet == | ||
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{{Mapping|legend=1| 159 252 0 -292 | 0 0 1 2 }} | {{Mapping|legend=1| 159 252 0 -292 | 0 0 1 2 }} | ||
: mapping generators: ~225/224 | : mapping generators: ~225/224, ~5 | ||
[[Optimal tuning]] ([[CTE]]): ~5/4 = 386.303{{c}} | [[Optimal tuning]] ([[CTE]]): ~225/224 = 7.139{{c}}, ~5/4 = 386.303{{c}} | ||
[[Support]]ing [[ET]]s: {{EDOs| 159, 795, 954, 1749, 2544, 2703 }} | [[Support]]ing [[ET]]s: {{EDOs| 159, 795, 954, 1749, 2544, 2703 }} | ||
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Mapping: {{mapping| 159 252 0 -292 550 | 0 0 1 2 0 }} | Mapping: {{mapping| 159 252 0 -292 550 | 0 0 1 2 0 }} | ||
Optimal tuning (CTE): ~5/4 = 386.303{{c}} | Optimal tuning (CTE): ~225/224 = 7.139{{c}}, ~5/4 = 386.303{{c}} | ||
Supporting ETs: {{EDOs| 159, 795, 954 }} | Supporting ETs: {{EDOs| 159, 795, 954 }} | ||
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Mapping: {{mapping| 159 252 0 -292 550 -150 | 0 0 1 2 0 2 }} | Mapping: {{mapping| 159 252 0 -292 550 -150 | 0 0 1 2 0 2 }} | ||
Optimal tuning (CTE): ~5/4 = 386.303{{c}} | Optimal tuning (CTE): ~225/224 = 7.139{{c}}, ~5/4 = 386.303{{c}} | ||
Supporting ETs: {{EDOs| 159, 795, 954 }} | Supporting ETs: {{EDOs| 159, 795, 954 }} | ||
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Mapping: {{mapping| 159 252 0 -292 550 -150 1019 | 0 0 1 2 0 2 -1 }} | Mapping: {{mapping| 159 252 0 -292 550 -150 1019 | 0 0 1 2 0 2 -1 }} | ||
Optimal tuning (CTE): ~5/4 = 386.263{{c}} | Optimal tuning (CTE): ~225/224 = 7.139{{c}}, ~5/4 = 386.263{{c}} | ||
Supporting ETs: {{EDOs| 159, 795g, 954 }} | Supporting ETs: {{EDOs| 159, 795g, 954 }} | ||