79th-octave temperaments: Difference between revisions
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[[Support]]ing [[ET]]s: {{EDOs|395, 711, 1106, 1817}} | [[Support]]ing [[ET]]s: {{EDOs|395, 711, 1106, 1817}} | ||
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[[Category:79edo]] | [[Category:79edo]] | ||
Revision as of 07:40, 5 December 2024
Template:Fractional-octave navigation For qualities of the wheel and its hinges, see 79edo.
Gold
Subgroup: 2.3.5.7.11.13
Comma list: 4096/4095, 4375/4374, 105644/105625, 225000/224939
Sval Mapping: [⟨79 0 -67 347 -478 668], ⟨0 1 2 -1 6 -3]]
- mapping generators: ~572/567 = 1\79, ~3
Optimal tuning (CTE): ~3/2 = 702.022
Supporting ETs: 395, 711, 1106, 1817
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 4096/4095, 4375/4374, 14400/14399, 14875/14872, 194481/194480
Sval Mapping: [⟨79 0 -67 347 -478 668 949], ⟨0 1 2 -1 6 -3 -5]]
- mapping generators: ~459/455 = 1\79, ~3
Optimal tuning (CTE): ~3/2 = 702.028
Supporting ETs: 395, 711, 1106, 1817
2.3.5.7.11.13.17.37 subgroup
6 generators are equal to 39/37, which is a very precise relationship.
Subgroup: 2.3.5.7.11.13.17.37
Comma list: 4096/4095, 4375/4374, 5292/5291, 14400/14399, 14875/14872, 194481/194480
Sval Mapping: [⟨79 0 -67 347 -478 668 949 662], ⟨0 1 2 -1 6 -3 -5 -2]]
- mapping generators: ~572/567 = 1\79, ~3
Optimal tuning (CTE): ~3/2 = 702.031