Parkleiness temperaments

Parkleiness rank-two temperaments temper out the parkleiness comma, 1959552/1953125 = [7 7 -9 1⟩ (zotritrigu).

Temperaments dicussed elsewhere include:

• Parakleismic
• Quinmite
• Nessafof
• Sensei
• Keemun
• Tritriple
• Trisedodge

Majvamic

The majvamic temperament (183&217) is an extension of the majvam temperament which tempers out the parkleiness comma and the decovulture comma (67108864/66976875, sasabirugugu) in the 7-limit.

Subgroup: 2.3.5.7

Comma list: 1959552/1953125, 67108864/66976875

Mapping: [⟨1 10 5 -32], ⟨0 -22 -7 91]]

Wedgie: ⟨⟨ 22 7 -91 -40 -206 -231 ]]

POTE generator: ~125/96 = 459.001

Badness: 0.188996

11-limit

Subgroup: 2.3.5.7.11

Comma list: 5632/5625, 46656/46585, 131072/130977

Mapping: [⟨1 10 5 -32 31], ⟨0 -22 -7 91 -72]]

POTE generator: ~125/96 = 459.002

Vals: Template:Val list

Badness: 0.055046

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 676/675, 1001/1000, 4096/4095, 39366/39325

Mapping: [⟨1 10 5 -32 31 19], ⟨0 -22 -7 91 -72 -40]]

POTE generator: ~125/96 = 459.000

Vals: Template:Val list

Badness: 0.033963

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 676/675, 936/935, 1001/1000, 1156/1155, 4096/4095

Mapping: [⟨1 10 5 -32 31 19 6], ⟨0 -22 -7 91 -72 -40 -5]]

POTE generator: ~125/96 = 459.000

Vals: Template:Val list

Badness: 0.019543