Father family

This 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: 16/15

POTE generator: ~3/2 = 743.986

Map: [<1 0 4|, <0 1 -1|]

EDOs: 1, 2, 3, 5, 8, 10c, 11b, 13c, 21bc

Badness: 0.0149

7-limit

Commas: 16/15, 28/27

7-limit minimax

[<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-limit eigenmonzo subgroup: 2.9/5

POTE generator: 742.002

Map: [<1 0 4 -2|, <0 1 -1 3|]

Wedgie: <<1 -1 3 -4 2 10||

EDOs: 5, 8d, 13cd, 21bcd

Badness: 0.0213

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