79th-octave temperaments
← 78th-octave temperaments 79th-octave temperaments 80th-octave temperaments →
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