79th-octave temperaments

Fractional-octave temperaments

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

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

Supporting ETs: 395, 711, 1106, 1817