Orwellismic temperaments: Difference between revisions
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POTE genertor: ~10/9 = 185.962 | POTE genertor: ~10/9 = 185.962 | ||
Vals: {{val list| 26, 58, 142e, | Vals: {{val list| 26, 58, 142e, 200cdee }} | ||
Badness: 0.0464 | Badness: 0.0464 | ||
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[[POTE generator]]: ~7/6 = 269.032 | [[POTE generator]]: ~7/6 = 269.032 | ||
{{Val list|legend=1| 9, 49, 58, 165cd, 223bcd }} | {{Val list|legend=1| 9, … , 49, 58, 165cd, 223bcd }} | ||
[[Badness]]: 0.1171 | [[Badness]]: 0.1171 | ||
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POTE generator: ~7/6 = 269.036 | POTE generator: ~7/6 = 269.036 | ||
Vals: {{val list| 9, 49, 58, | Vals: {{val list| 9, … , 49, 58, 165cdee }} | ||
Badness: 0.0407 | Badness: 0.0407 | ||
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POTE generator: ~7/6 = 269.021 | POTE generator: ~7/6 = 269.021 | ||
Vals: {{val list| 9, 49f, 58}} | Vals: {{val list| 9, … , 49f, 58 }} | ||
Badness: 0.0237 | Badness: 0.0237 | ||
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POTE generator: ~36/35 = 45.041 | POTE generator: ~36/35 = 45.041 | ||
Vals: {{val list| 53, 80, 213d, 293bcd}} | Vals: {{val list| 26e, 27e, 53, 80, 213d, 293bcd}} | ||
Badness: 0.034 | Badness: 0.034 | ||
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POTE generator: ~36/35 = 45.080 | POTE generator: ~36/35 = 45.080 | ||
Vals: {{val list| 53, 80, 133d, 213d}} | Vals: {{val list| 26e, 27e, 53, 80, 133d, 213d}} | ||
Badness: 0.0239 | Badness: 0.0239 | ||
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POTE generator: ~36/35 = 38.565 | POTE generator: ~36/35 = 38.565 | ||
Vals: {{val list| 31, 156ce, 187ce, | Vals: {{val list| 31, 156ce, 187ce, 218bcee, 249bcee }} | ||
Badness: 0.0442 | Badness: 0.0442 | ||
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POTE generator: ~36/35 = 38.444 | POTE generator: ~36/35 = 38.444 | ||
Vals: {{val list| 31, | Vals: {{val list| 31, 94cff, 125cff }} | ||
Badness: 0.0381 | Badness: 0.0381 | ||
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POTE generator: ~7/4 = 975.0872 | POTE generator: ~7/4 = 975.0872 | ||
{{Val list|legend=1| | {{Val list|legend=1| 75, 80 }} | ||
Badness: 0.148665 | Badness: 0.148665 | ||
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POTE generator: ~7/4 = 975.1212 | POTE generator: ~7/4 = 975.1212 | ||
Vals: {{val list| | Vals: {{val list| 75e, 80 }} | ||
Badness: 0.071702 | Badness: 0.071702 | ||
Revision as of 05:45, 25 April 2021
These temper out [6 3 -1 -3⟩ = 1728/1715, the orwellisma.
Temperaments not discussed here include:
- Beep ({21/20, 27/25})
- Doublewide ({50/49, 875/864})
- Superpyth ({64/63, 245/243})
- Cynder ({81/80, 1029/1024})
- Myna ({126/125, 1728/1715})
- Orwell ({225/224, 1728/1715})
- Buzzard ({1728/1715, 5120/5103})
Secant
Subgroup: 2.3.5.7
Comma list: 1728/1715, 177147/175000
Mapping: [⟨2 1 0 5], ⟨0 7 15 2]]
Wedgie: ⟨⟨ 14 30 4 15 -33 -75 ]]
POTE generator: ~10/9 = 185.885
Badness: 0.0953
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: 0.0464
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: 0.0250
Infraorwell
Subgroup: 2.3.5.7
Comma list: 1728/1715, 28672/28125
Mapping: [⟨1 14 0 16], ⟨0 -16 3 -17]]
Wedgie: ⟨⟨ 16 -3 17 -42 -18 48 ]]
POTE generator: ~7/6 = 269.032
Badness: 0.1171
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: 0.0407
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: 0.0237
Quartonic
5-limit
Subgroup: 2.3.5
Comma list: 390625000/387420489
Mapping: [⟨1 2 3], ⟨0 -11 -18]]
POTE generator: ~250/243 = 45.233
Badness: 0.1172
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 4000/3969
Mapping: [⟨1 2 3 3], ⟨0 -11 -18 -5]]
Wedgie: ⟨⟨ 11 18 5 3 -23 -39 ]]
POTE generator: ~36/35 = 45.139
Badness: 0.0426
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: 0.034
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: 0.0239
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: 0.0418
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: 0.0277
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: 0.0533
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: 0.0288
Sentinel
5-limit
Subgroup: 2.3.5
Comma list: 8968066875/8589934592
Mapping: [⟨1 3 -3], ⟨0 -4 15]]
POTE generator: ~512/405 = 425.474
Badness: 0.7234
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 3645/3584
Mapping: [⟨1 3 -3 6], ⟨0 -4 15 -9]]
Wedgie: ⟨⟨ 4 -15 9 -33 3 63 ]]
POTE generator: ~9/7 = 425.596
Badness: 0.0938
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: 0.0396
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: 0.0374
Diesic
5-limit
Subgroup: 2.3.5
Comma list: 10460353203/9765625000
Mapping: [⟨1 2 3], ⟨0 -13 -21]]
POTE generator: ~6561/6250 = 38.571
Badness: 1.3447
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 5103/5000
Mapping: [⟨1 2 3 3], ⟨0 -13 -21 -6]]
Wedgie: ⟨⟨ 13 21 6 3 -27 -45 ]]
POTE generator: ~36/35 = 38.567
Badness: 0.1073
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: 0.0442
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: 0.0381
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