Ideas welcome!

22 & 46 & 72

An 11-limit rank-3 temperament. Announced in FB group. To be called "quasiquarter".

7-limit

Comma: 1500625/1492992

Map: [<2 1 0 7|, <0 2 0 3|, <0 0 1 -1|]

Mapping generators: ~1225/864, ~35/24, ~5

Wedgie: <<< 4 -4 -6 11 |||

POTE generators: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326

Badness: 0.7042 × 10^-3

Commas: 385/384, 9801/9800

Map: [<2 1 0 7 8|, <0 2 0 3 -1|, <0 0 1 -1 0|]

Mapping generators: ~99/70, ~16/11, ~5

POTE generators: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315

Badness: 0.5292 × 10^-3

An unnamed 13-limit rank-3 temperament.

Commas: 352/351, 847/845, 14641/14580

Map: [<1 0 2 12 1 6|, <0 1 2 -4 2 -1|, <0 0 4 4 1 1|]

EDOs: 7, 17c, 24d, 87, 111, 181, 198

Badness: 0.0540 × 10^-3

An unnamed 13-limit rank-4 temperament.

Commas: 352/351, 847/845

Map: [<1 0 0 10 0 5|, <0 1 0 -6 0 -3|, <0 0 1 1 0 0|, <0 0 0 0 1 1|]

Wedgie: <<<<0 1 1 1 1 0 6 6 -3 -3 10 10 -5 -5 0||||

POTE generators: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538

EDOs: 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198

Badness: 2.550 × 10^-6