4L 3s/Temperaments

Myna

Subgroup: 2.3.5.7

Comma list: 126/125, 1728/1715

Mapping: [⟨1 9 9 8], ⟨0 -10 -9 -7]]

Mapping generators: ~2, ~5/3

Wedgie: ⟨⟨ 10 9 7 -9 -17 -9 ]]

POTE generator: ~6/5 = 310.146

Minimax tuning:

• 7- and 9-odd-limit

[[1 0 0 0⟩, [0 1 0 0⟩, [9/10 9/10 0 0⟩, [17/10 7/10 0 0⟩]

Eigenmonzos (unchanged intervals): 2, 3

Badness: 0.0270

Kleismic

Subgroup: 2.3.5

Comma list: 15625/15552

Mapping: [⟨1 0 1], ⟨0 6 5]]

POTE generator: ~6/5 = 317.007

Tuning ranges:

• diamond monotone range: [300.000, 327.273] (4 to 11b)
• diamond tradeoff range: [315.641, 317.263]
• diamond monotone and tradeoff range: [315.641, 317.263]

Orgone

Main article: Orgone

Commas:65536/65219

Subgroup: 2.7.11

POTE generator: ~77/64 = 323.372

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

EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc

Dual-3 Sixix

Subgroup: 2.3⁻.9.5

Comma list: 81/80, [2 -3 0 1⟩

Mapping: [⟨1 2 4 4], ⟨0 -2 -3 -6]]

2.9.5 POTE generator: 335.8409

Sixix

Subgroup: 2.3.5

Comma list: 3125/2916

Mapping: [⟨1 3 4], ⟨0 -5 -6]]

POTE generator: ~6/5 = 338.365

Badness: 0.1531