35th-octave temperaments: Difference between revisions
Created page with "35edo is a tuning system that's not remarkable in its own right from a regular temperament theory perspective, but some of its multiples are either zeta edos like 33..." |
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{{Optimal ET sequence|legend=1|665, 2065, 2730, 3395, 4060, 7455}} | {{Optimal ET sequence|legend=1|665, 2065, 2730, 3395, 4060, 7455}} | ||
=== 2.3.5.7.13 subgroup === | |||
Subgroup: 2.3.5.7.13 | |||
Comma list: 1990656/1990625, 1686616064/1686498489, 44302336000/44295075909 | |||
Mapping: [{{val|35 0 -418 653 1239}}, {{val|0 1 9 -10 -20}}] | |||
Mapping generators: ~38263752/37515625 = 1\35, ~3 | |||
Optimal tuning (CTE): ~3/2 = 701.973 | |||
Supporting ETs: 665, 3395, ... | |||
=== 2.3.5.7.13.17 subgroup === | |||
The period is mapped to ~51/50. | |||
Subgroup: 2.3.5.7.13.17 | |||
Comma list: 426496/426465, 1990656/1990625, 6251648/6251175, 51200000/51195483 | |||
Mapping: [{{val|35 0 -418 653 1239}}, {{val|0 1 9 -10 -20}}] | |||
Mapping generators: ~51/50 = 1\35, ~3 | |||
Optimal tuning (CTE): ~3/2 = 701.973 | |||
Supporting ETs: 665, 3395, ... | |||
== Tritonopodismic (rank-3) == | == Tritonopodismic (rank-3) == | ||