Parkleiness temperaments
Parkleiness rank-two temperaments temper out the parkleiness comma, 1959552/1953125 = [7 7 -9 1⟩ (zotritrigu).
Temperaments dicussed elsewhere include:
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
Optimal ET sequence: 34, 149d, 183, 217, 400
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
Optimal ET sequence: 34, 149d, 183, 400, 983c, 1383ce, 1783cce
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
Optimal ET sequence: 34, 149d, 183, 217, 400
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
Optimal ET sequence: 34, 149d, 183, 217, 400
Badness: 0.019543
Octogintic
The octogintic temperament has a period of 1/80 octave and tempers out the parkleiness comma and the starscape comma (645700815/645657712), as well as linus comma, 578509309952/576650390625.
Subgroup: 2.3.5.7
Comma list: 1959552/1953125, 645700815/645657712
Mapping: [⟨80 127 186 225], ⟨0 -1 -1 -2]]
Wedgie: ⟨⟨80 80 160 -59 29 147]]
POTE generator: ~3/2 = 701.940
Optimal ET sequence: 80, 320, 400
Badness: 0.307033
11-limit
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 46656/46585, 391314/390625
Mapping: [⟨80 127 186 225 277], ⟨0 -1 -1 -2 -1]]
POTE generator: ~3/2 = 701.982
Optimal ET sequence: 80, 320, 400
Badness: 0.067939
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 1001/1000, 4225/4224, 4459/4455, 46656/46585
Mapping: [⟨80 127 186 225 277 296], ⟨0 -1 -1 -2 -1 0]]
POTE generator: ~3/2 = 701.796
Optimal ET sequence: 80, 320, 400, 720, 1120
Badness: 0.046158
17-limit
Subgroup: 2.3.5.7.11.13.17
Comma list: 936/935, 1001/1000, 1377/1375, 4225/4224, 4459/4455
Mapping: [⟨80 127 186 225 277 296 327], ⟨0 -1 -1 -2 -1 0 0]]
POTE generator: ~3/2 = 701.800
Optimal ET sequence: 80, 320, 400, 720, 1120
Badness: 0.029279
19-limit
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 936/935, 969/968, 1001/1000, 1377/1375, 1521/1520, 3136/3135
Mapping: [⟨80 127 186 225 277 296 327 340], ⟨0 -1 -1 -2 -1 0 0 -1]]
POTE generator: ~3/2 = 701.784
Optimal ET sequence: 80, 320, 400, 720h, 1120h
Badness: 0.021470