Orwellismic temperaments: Difference between revisions

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== Sentinel ==
== Sentinel ==
Subgroup: 2.3.5
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Sentinel]].''


[[Comma list]]: 8968066875/8589934592
[[Mapping]]: [{{val| 1 3 -3 }}, {{val| 0 -4 15 }}]
[[POTE generator]]: ~512/405 = 425.474
{{Val list|legend=1| 14, 17, 31, 79, 110, 361bc }}
[[Badness]]: 0.723413
=== 7-limit ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


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== Diesic ==
== Diesic ==
Subgroup: 2.3.5
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Diesic]].''
 
[[Comma list]]: 10460353203/9765625000
 
[[Mapping]]: [{{val| 1 2 3 }}, {{val| 0 -13 -21 }}]
 
[[POTE generator]]: ~6561/6250 = 38.571
 
{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}


[[Badness]]: 1.344681
=== 7-limit ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


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Badness: 0.038116
Badness: 0.038116
== Phillips ==
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Phillips]].''
Subgroup: 2.3.5.7
[[Comma list]]: 1728/1715, 6561/6272
[[Mapping]]: [{{Val|2 0 33 -7}}, {{Val|0 1 -9 4}}]
{{Multival|legend=1|2 -18 8 -33 7 69}}
[[POTE generator]]: ~3/2 = 691.174
{{Val list|legend=1| 14, 26, 66b, 92bc }}
[[Badness]]: 0.228602
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 99/98, 385/384, 729/704
Mapping: [{{Val|2 0 33 -7 -12}}, {{Val|0 1 -9 4 6}}]
POTE generator: ~3/2 = 691.040
Vals: {{Val list| 14, 26, 40, 66b }}
Badness: 0.095777
== Triskaidekic ==
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Triskaidekic]].''
Subgroup: 2.3.5.7
[[Comma list]]: 1728/1715, 1875/1792
[[Mapping]]: [{{Val|13 0 30 16}}, {{Val|0 1 0 1}}]
{{Multival|legend=1|13 0 13 -30 -16 30}}
[[POTE generator]]: ~3/2 = 694.143
{{Val list|legend=1| 13d, 26 }}
[[Badness]]: 0.219050
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 99/98, 125/121, 385/384
Mapping: [{{Val|13 0 30 16 45}}, {{Val|0 1 0 1 0}}]
POTE generator: ~3/2 = 696.296
Vals: {{Val list| 13d, 26, 91cd }}
Badness: 0.098847
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 78/77, 99/98, 125/121, 1200/1183
Mapping: [{{Val|13 0 30 16 45 48}}, {{Val|0 1 0 1 0 0}}]
POTE generator: ~3/2 = 695.879
Vals: {{Val list| 13d, 26, 91cdf }}
Badness: 0.059216


== Pentorwell ==
== Pentorwell ==