Father family
The father family of temperaments tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.
Father
Comma list: 16/15
POTE generator: ~3/2 = 743.986
Mapping: [⟨1 0 4], ⟨0 1 -1]]
Badness: 0.0149
7-limit
Comma list: 16/15, 28/27
POTE generator: ~3/2 = 742.002
Mapping: [⟨1 0 4 -2], ⟨0 1 -1 3]]
Wedgie: ⟨⟨1 -1 3 -4 2 10]]
Minimax tuning:
- 7-odd-limit
- [[1 0 0 0⟩, [3/2 0 -1/4 1/4⟩, [5/2 0 1/4 -1/4⟩, [5/2 0 -3/4 3/4⟩]
- Eigenmonzo subgroup: 2.7/5
- 9-odd-limit
- Eigenmonzo subgroup: 2.9/5
Badness: 0.0213
Mother
Comma list: 16/15, 21/20
POTE generator: ~3/2 = 721.569
Mapping: [⟨1 0 4 6], ⟨0 1 -1 -2]]
Wedgie: ⟨⟨1 -1 -2 -4 -6 -2]]
Badness: 0.0242
Pater
Commas: 16/15, 126/125
POTE generator: ~3/2 = 753.113
Map: [<1 0 4 11|, <0 1 -1 -5|]
Wedgie: <<1 -1 -5 -4 -11 -9||
EDOs: 3, 11b, 16bcd, 27bcd
Badness: 0.0530
Walid
Commas: 16/15, 50/49
POTE generator: ~3/2 = 749.415
Map: [<2 0 8 9|, <0 1 -1 -1|]
Wedgie: <<2 -2 -2 -8 -9 1||
EDOs: 2, 6, 10cd, 14bd, 16bcd
Badness: 0.0490
Baba
Commas: 16/15, 49/45
POTE generator: ~8/7 = 226.704
Map: [<1 0 4 2|, <0 2 -2 1|]
Wedgie: <<2 -2 1 -8 -4 8||
EDOs: 1, 5, 11b, 16bc
Badness: 0.0443
Quint
Commas: 16/15, 27/25
POTE generator: ~8/7 = 182.097
Map: [<5 8 12 0|, <0 0 0 -1|]
Wedgie: <<0 0 5 0 8 12||
EDOs: 5, 15cd
Badness: 0.0483