Orwellismic temperaments
These temper out [6 3 -1 -3⟩ = 1728/1715, the orwellisma.
Temperaments discussed elsewhere include:
- beep, {21/20, 27/25} → Bug family #Beep
- doublewide, {50/49, 875/864} → Jubilismic clan #Doublewide
- superpyth, {64/63, 245/243} → Archytas clan #Superpyth
- mothra, {81/80, 1029/1024} → Meantone family #Mothra
- myna, {126/125, 1728/1715} → Starling temperaments #Myna
- orwell, {225/224, 1728/1715} → Semicomma family #Orwell
- secund, {405/392, 525/512} → Greenwoodmic temperaments #Secund
- buzzard, {1728/1715, 5120/5103} → Hemifamity temperaments #Buzzard
Secant
Subgroup: 2.3.5.7
Comma list: 1728/1715, 177147/175000
Mapping: [⟨2 1 0 5], ⟨0 7 15 2]]
⟨⟨14 30 4 15 -33 -75]]
POTE generator: ~10/9 = 185.885
Badness: 0.095278
11-limit
Subgroup: 2.3.5.7.11
Comma list: 441/440, 1344/1331, 1728/1715
Mapping: [⟨2 1 0 5 6], ⟨0 7 15 2 3]]
POTE genertor: ~10/9 = 185.962
Vals: Template:Val list
Badness: 0.046373
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 351/350, 364/363, 441/440
Mapping: [⟨2 1 0 5 6 4], ⟨0 7 15 2 3 11]]
POTE generator: ~10/9 = 185.955
Vals: Template:Val list
Badness: 0.025035
Infraorwell
Subgroup: 2.3.5.7
Comma list: 1728/1715, 28672/28125
Mapping: [⟨1 14 0 16], ⟨0 -16 3 -17]]
⟨⟨16 -3 17 -42 -18 48]]
POTE generator: ~7/6 = 269.032
Badness: 0.117073
11-limit
Subgroup: 2.3.5.7.11
Comma list: 176/175, 540/539, 1344/1331
Mapping: [⟨1 14 0 16 12], ⟨0 -16 3 -17 -11]]
POTE generator: ~7/6 = 269.036
Vals: Template:Val list
Badness: 0.040721
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 176/175, 196/195, 364/363
Mapping: [⟨1 14 0 16 12 20], ⟨0 -16 3 -17 -11 -21]]
POTE generator: ~7/6 = 269.021
Vals: Template:Val list
Badness: 0.023683
Quartonic
Subgroup: 2.3.5
Comma list: 390625000/387420489
Mapping: [⟨1 2 3], ⟨0 -11 -18]]
POTE generator: ~250/243 = 45.233
Badness: 0.117250
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 4000/3969
Mapping: [⟨1 2 3 3], ⟨0 -11 -18 -5]]
⟨⟨11 18 5 3 -23 -39]]
POTE generator: ~36/35 = 45.139
Badness: 0.042632
11-limit
Subgroup: 2.3.5.7.11
Comma list: 176/175, 540/539, 2200/2187
Mapping: [⟨1 2 3 3 5], ⟨0 -11 -18 -5 -41]]
POTE generator: ~36/35 = 45.041
Vals: Template:Val list
Badness: 0.034031
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 176/175, 325/324, 540/539
Mapping: [⟨1 2 3 3 5 4], ⟨0 -11 -18 -5 -41 -8]]
POTE generator: ~36/35 = 45.080
Vals: Template:Val list
Badness: 0.023875
Quarto
Subgroup: 2.3.5.7.11
Comma list: 100/99, 245/242, 864/847
Mapping: [⟨1 2 3 3 4], ⟨0 -11 -18 -5 -14]]
POTE generator: ~36/35 = 45.132
Vals: Template:Val list
Badness: 0.041786
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 78/77, 100/99, 144/143, 245/242
Mapping: [⟨1 2 3 3 4 4], ⟨0 -11 -18 -5 -14 -8]]
POTE generator: ~36/35 = 45.205
Vals: Template:Val list
Badness: 0.027692
Quartz
Subgroup: 2.3.5.7.11
Comma list: 99/98, 385/384, 4000/3969
Mapping: [⟨1 2 3 3 3], ⟨0 -11 -18 -5 12]]
POTE generator: ~36/35 = 45.385
Vals: Template:Val list
Badness: 0.053285
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 169/168, 275/273, 385/384
Mapping: [⟨1 2 3 3 3 4], ⟨0 -11 -18 -5 12 -8]]
POTE generator: ~36/35 = 45.387
Vals: Template:Val list
Badness: 0.028818
Sentinel
Subgroup: 2.3.5
Comma list: 8968066875/8589934592
Mapping: [⟨1 3 -3], ⟨0 -4 15]]
POTE generator: ~512/405 = 425.474
Badness: 0.723413
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 3645/3584
Mapping: [⟨1 3 -3 6], ⟨0 -4 15 -9]]
⟨⟨4 -15 9 -33 3 63]]
POTE generator: ~9/7 = 425.596
Badness: 0.093805
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 243/242, 385/384
Mapping: [⟨1 3 -3 6 7], ⟨0 -4 15 -9 -10]]
POTE generator: ~9/7 = 425.550
Vals: Template:Val list
Badness: 0.039595
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 105/104, 144/143, 243/242
Mapping: [⟨1 3 -3 6 7 3], ⟨0 -4 15 -9 -10 2]]
POTE generator: ~9/7 = 425.501
Vals: Template:Val list
Badness: 0.037408
Diesic
Subgroup: 2.3.5
Comma list: 10460353203/9765625000
Mapping: [⟨1 2 3], ⟨0 -13 -21]]
POTE generator: ~6561/6250 = 38.571
Badness: 1.344681
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 5103/5000
Mapping: [⟨1 2 3 3], ⟨0 -13 -21 -6]]
⟨⟨13 21 6 3 -27 -45]]
POTE generator: ~36/35 = 38.567
Badness: 0.107348
11-limit
Subgroup: 2.3.5.7.11
Comma list: 121/120, 441/440, 891/875
Mapping: [⟨1 2 3 3 4], ⟨0 -13 -21 -6 -17]]
POTE generator: ~36/35 = 38.565
Vals: Template:Val list
Badness: 0.044186
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 66/65, 121/120, 343/338, 441/440
Mapping: [⟨1 2 3 3 4 4], ⟨0 -13 -21 -6 -17 -9]]
POTE generator: ~36/35 = 38.444
Vals: Template:Val list
Badness: 0.038116
Pentorwell
Subgroup: 2.3.5.7
Comma list: 1728/1715, 179200/177147
Mapping: [⟨5 8 12 14], ⟨0 -1 -6 1]]
POTE generator: ~7/4 = 975.0872
Badness: 0.148665
11-limit
Subgroup: 2.3.5.7.11
Comma list: 896/891, 1728/1715, 2200/2187
Mapping: [⟨5 8 12 14 17], ⟨0 -1 -6 1 5]]
POTE generator: ~7/4 = 975.1212
Vals: Template:Val list
Badness: 0.071702