The keemic family of rank-3 temperaments are planar temperaments tempering out the keema, 875/864.

Supermagic

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

Mapping generators: ~2, ~3, ~5

Map to lattice: [⟨0 0 -1 3], ⟨0 1 1 0]]

Lattice basis:

6/5 length = 0.8879, 3/2 length = 1.3391

Angle (6/5, 3/2) = 77.834

[[1 0 0 0⟩, [0 1 0 0⟩, [5/4 3/4 1/4 -1/4⟩, [5/4 3/4 -3/4 3/4⟩]

Eigenmonzos: 2, 4/3, 7/5

11-limit

Comma list: 100/99, 385/384

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

Badness: 0.641 × 10^-3

Comma list: 225/224, 245/243

Mapping: [⟨1 0 2 -1 0], ⟨0 5 1 12 0], ⟨0 0 0 0 1]]

Badness: 0.888 × 10^-3