Porcupine rank three family

These are the rank-3 temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.

Sonic

Subgroup: 2.3.5.7.11

Comma list: 55/54, 100/99

Mapping: [⟨1 2 3 0 4], ⟨0 -3 -5 0 -4], ⟨0 0 0 1 0]]

POTE generators: ~10/9 = 164.078, ~7/4 = 967.841

Badness: 0.523 × 10^-3

Tikal

Subgroup: 2.3.5.7.11

Comma list: 56/55, 250/243

Mapping: [⟨1 2 3 0 0], ⟨0 -3 -5 0 5], ⟨0 0 0 1 1]]

POTE generators: ~10/9 = 161.519, ~7/4 = 971.046

Badness: 1.973 × 10^-3