Lehmerismic temperaments

These are rank-3 temperaments tempering out 3025/3024, but we can begin by looking at the rank-4 temperament.

Temperaments discussed elsewhere are:

• Oxpecker
• Manwe
• Spectacle
• Portent
• Indra
• Tolerant
• Freya
• Triglav
• Thor
• Kapo

Lehmerismic

Subgroup: 2.3.5.7.11

Comma list: 3025/3024

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

Mapping generators: ~2, ~3, ~5, ~55/36

Tyr

See also: Landscape family

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 102487/102400

Mapping: [⟨3 0 0 4 8], ⟨0 2 0 -4 1], ⟨0 0 1 2 0]]

Mapping generators: ~63/50, ~400/231, ~5

Badness: 0.259 × 10^-3

Skadi

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 703125/702464

Mapping: [⟨1 0 5 8 1], ⟨0 1 1 3 2], ⟨0 0 -6 -14 -1]]

Mapping generators: ~2, ~3, ~18/11

Badness: 0.349 × 10^-3

Ganesha

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 5632/5625

Mapping: [⟨1 0 0 -22 -9], ⟨0 1 0 1 2], ⟨0 0 1 10 4]]

Mapping generators: ~2, ~3, ~5

Badness: 0.390 × 10^-3

Hanuman

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 4000/3993

Mapping: [⟨1 2 0 -8 1], ⟨0 -3 0 11 1], ⟨0 0 1 4 1]]

Mapping generators: ~2, ~11/10, ~5

Badness: 0.500 × 10^-3

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 625/624, 1575/1573, 2080/2079

Mapping: [⟨1 2 0 -8 1 -6], ⟨0 -3 0 11 1 3], ⟨0 0 1 4 1 4]]

Mapping generators: ~2, ~11/10, ~5

Vals: Template:Val list

Badness: 0.653 × 10^-3