Orwellismic temperaments: Difference between revisions

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These temper out {{monzo| 6 3 -1 -3 }} = 1728/1715, the orwellisma.
These temper out |6 3 -1 -3> = 1728/1715, the orwellisma.


Temperaments not discussed here include [[Meantone family|cynder]], [[Archytas clan|superpyth]], [[Starling temperaments|myna]], [[Hemifamity temperaments|buzzard]], [[Jubilismic clan|doublewide]], [[Bug family|beep]], and [[Semicomma family|orwell]].
Temperaments not discussed here include:
* [[Bug family #Beep|Beep]] ({21/20, 27/25})
* [[Jubilismic clan #Doublewide|Doublewide]] ({50/49, 875/864})
* [[Archytas clan #Superpyth|Superpyth]] ({64/63, 245/243})
* [[Meantone family #Mothra|Cynder]] ({81/80, 1029/1024})
* [[Starling temperaments #Myna|Myna]] ({126/125, 1728/1715})
* [[Semicomma family #Orwell|Orwell]] ({225/224, 1728/1715})
* [[Hemifamity temperaments #Buzzard|Buzzard]] ({1728/1715, 5120/5103})


=Secant=
= Secant =
Commas: 1728/1715, 177147/175000
Subgroup: 2.3.5.7


POTE generator: ~10/9 = 185.885
[[Comma list]]: 1728/1715, 177147/175000


Map: [<2 1 0 5|, <0 7 15 2|]
[[Mapping]]: [{{val| 2 1 0 5 }}, {{val| 0 7 15 2 }}]


Wedgie: <<14 30 4 15 -33 -75|
{{Multival|legend=1| 14 30 4 15 -33 -75 }}


EDOs: {{EDOs|26, 58, 84, 142, 368cd}}
[[POTE generator]]: ~10/9 = 185.885


Badness: 0.0953
{{Val list|legend=1| 26, 58, 84, 142, 368cd }}


==11-limit==
[[Badness]]: 0.0953
Commas: 441/440, 1344/1331, 1728/1715
 
== 11-limit ==
Subgroup: 2.3.5.7.11
 
Comma list: 441/440, 1344/1331, 1728/1715
 
Mapping: [{{val| 2 1 0 5 6 }}, {{val| 0 7 15 2 3 }}]


POTE genertor: ~10/9 = 185.962
POTE genertor: ~10/9 = 185.962


Map: [<2 1 0 5 6|, <0 7 15 2 3|]
Vals: {{val list| 26, 58, 142e, 200cde }}


EDOs: {{EDOs|26, 58, 142e, 200cde}}
Badness: 0.0464


Badness: 0.0464
== 13-limit ==
Subgroup: 2.3.5.7.11.13
 
Comma list: 144/143, 351/350, 364/363, 441/440


==13-limit==
Mapping: [{{val| 2 1 0 5 6 4 }}, {{val| 0 7 15 2 3 11 }}]
Commas: 144/143, 351/350, 364/363, 441/440


POTE generator: ~10/9 = 185.955
POTE generator: ~10/9 = 185.955


Map: [<2 1 0 5 6 4|, <0 7 15 2 3 11|]
Vals: {{val list| 26, 58, 84, 142ef }}
 
Badness: 0.0250
 
= Infraorwell =
Subgroup: 2.3.5.7


EDOs: {{EDOs|26, 58, 84, 142ef}}
[[Comma list]]: 1728/1715, 28672/28125


Badness: 0.0250
[[Mapping]]: [{{val| 1 14 0 16 }}, {{val| 0 -16 3 -17 }}]


=Infraorwell=
{{Multival|legend=1| 16 -3 17 -42 -18 48 }}
Commas: 1728/1715, 28672/28125


POTE generator: ~7/6 = 269.032
[[POTE generator]]: ~7/6 = 269.032


Map: [<1 14 0 16|, <0 -16 3 -17|]
{{Val list|legend=1| 9, 49, 58, 165cd, 223bcd }}


Wedgie: <<16 -3 17 -42 -18 48||
[[Badness]]: 0.1171


EDOs: {{EDOs|9, 49, 58, 165cd, 223bcd}}
== 11-limit ==
Subgroup: 2.3.5.7.11


Badness: 0.1171
Comma list: 176/175, 540/539, 1344/1331


==11-limit==
Mapping: [{{val| 1 14 0 16 12 }}, {{val| 0 -16 3 -17 -11 }}]
Commas: 176/175, 540/539, 1344/1331


POTE generator: ~7/6 = 269.036
POTE generator: ~7/6 = 269.036


Map: [<1 14 0 16 12|, <0 -16 3 -17 -11|]
Vals: {{val list| 9, 49, 58, 165cde}}


EDOs: {{EDOs|9, 49, 58, 165cde}}
Badness: 0.0407


Badness: 0.0407
== 13-limit ==
Subgroup: 2.3.5.7.11.13
 
Comma list: 144/143, 176/175, 196/195, 364/363


==13-limit==
Mapping: [{{val| 1 14 0 16 12 20 }}, {{val| 0 -16 3 -17 -11 -21 }}]
Commas: 144/143, 176/175, 196/195, 364/363


POTE generator: ~7/6 = 269.021
POTE generator: ~7/6 = 269.021


Map: [<1 14 0 16 12 20|, <0 -16 3 -17 -11 -21|]
Vals: {{val list| 9, 49f, 58}}
 
Badness: 0.0237
 
= Quartonic =
== 5-limit ==
Subgroup: 2.3.5
 
[[Comma list]]: 390625000/387420489


EDOs: {{EDOs|9, 49f, 58}}
[[Mapping]]: [{{val| 1 2 3 }}, {{val| 0 -11 -18 }}]


Badness: 0.0237
[[POTE generator]]: ~250/243 = 45.233


=Quartonic=
{{Val list|legend=1| 26, 27, 53, 239, 292, 345, 398, 451 }}
Comma: 390625000/387420489


POTE generator: ~250/243 = 45.233
[[Badness]]: 0.1172


Map: [<1 2 3|, <0 -11 -18|]
== 7-limit ==
Subgroup: 2.3.5.7


EDOs: {{EDOs|26, 27, 53, 239, 292, 345, 398, 451}}
[[Comma list]]: 1728/1715, 4000/3969


Badness: 0.1172
[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -11 -18 -5 }}]


==7-limit==
{{Multival|legend=1| 11 18 5 3 -23 -39 }}
Commas: 1728/1715, 4000/3969


POTE generator: ~36/35 = 45.139
[[POTE generator]]: ~36/35 = 45.139


Map: [<1 2 3 3|, <0 -11 -18 -5|]
{{Val list|legend=1| 26, 27, 53, 80, 133d, 186d, 319d }}


Wedgie: <<11 18 5 3 -23 -39||
[[Badness]]: 0.0426


EDOs: {{EDOs|26, 27, 53, 80, 133d, 186d, 319d}}
== 11-limit ==
Subgroup: 2.3.5.7.11


Badness: 0.0426
Comma list: 176/175, 540/539, 2200/2187


==11-limit==
Mapping: [{{val| 1 2 3 3 5 }}, {{val| 0 -11 -18 -5 -41 }}]
Commas: 176/175, 540/539, 2200/2187


POTE generator: ~36/35 = 45.041
POTE generator: ~36/35 = 45.041


Map: [<1 2 3 3 5|, <0 -11 -18 -5 -41|]
Vals: {{val list| 53, 80, 213d, 293bcd}}


EDOs: {{EDOs|53, 80, 213d, 293bcd}}
Badness: 0.034


Badness: 0.034
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 169/168, 176/175, 325/324, 540/539


==13-limit==
Mapping: [{{val| 1 2 3 3 5 4 }}, {{val| 0 -11 -18 -5 -41 -8 }}]
Commas: 169/168, 176/175, 325/324, 540/539


POTE generator: ~36/35 = 45.080
POTE generator: ~36/35 = 45.080


Map: [<1 2 3 3 5 4|, <0 -11 -18 -5 -41 -8|]
Vals: {{val list| 53, 80, 133d, 213d}}
 
Badness: 0.0239


EDOs: {{EDOs|53, 80, 133d, 213d}}
== Quarto ==
Subgroup: 2.3.5.7.11


Badness: 0.0239
Comma list: 100/99, 245/242, 864/847


==Quarto==
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -11 -18 -5 -14 }}]
Commmas: 100/99, 245/242, 864/847


POTE generator: ~36/35 = 45.132
POTE generator: ~36/35 = 45.132


Map: [<1 2 3 3 4|, <0 -11 -18 -5 -14|]
Vals: {{val list| 26, 27e, 53e, 80e }}


EDOs: {{EDOs|26, 27e, 53e, 80e}}
Badness: 0.0418


Badness: 0.0418
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 78/77, 100/99, 144/143, 245/242


===13-limit===
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -11 -18 -5 -14 -8 }}]
Commas: 78/77, 100/99, 144/143, 245/242


POTE generator: ~36/35 = 45.205
POTE generator: ~36/35 = 45.205


Map: [<1 2 3 3 4 4|, <0 -11 -18 -5 -14 -8|]
Vals: {{val list| 26, 27e, 53e}}
 
Badness: 0.0277


EDOs: {{EDOs|26, 27e, 53e}}
== Quartz ==
Subgroup: 2.3.5.7.11


Badness: 0.0277
Comma list: 99/98, 385/384, 4000/3969


==Quartz==
Mapping: [{{val| 1 2 3 3 3 }}, {{val| 0 -11 -18 -5 12 }}]
Commas: 99/98, 385/384, 4000/3969


POTE generator: ~36/35 = 45.385
POTE generator: ~36/35 = 45.385


Map: [<1 2 3 3 3|, <0 -11 -18 -5 12|]
Vals: {{val list| 26, 53 }}
 
Badness: 0.0533


EDOs: {{EDOs|26, 53}}
=== 13-limit ===
Subgroup: 2.3.5.7.11.13


Badness: 0.0533
Comma list: 99/98, 169/168, 275/273, 385/384


===13-limit===
Mapping: [{{val| 1 2 3 3 3 4 }}, {{val| 0 -11 -18 -5 12 -8 }}]
Commas: 99/98, 169/168, 275/273, 385/384


POTE generator: ~36/35 = 45.387
POTE generator: ~36/35 = 45.387


Map: [<1 2 3 3 3 4|, <0 -11 -18 -5 12 -8|]
Vals: {{val list| 26, 53, 132e, 185cdef, 238cdef}}
 
Badness: 0.0288
 
= Sentinel =
== 5-limit ==
Subgroup: 2.3.5
 
[[Comma list]]: 8968066875/8589934592


EDOs: {{EDOs|26, 53, 132e, 185cdef, 238cdef}}
[[Mapping]]: [{{val| 1 3 -3 }}, {{val| 0 -4 15 }}]


Badness: 0.0288
[[POTE generator]]: ~512/405 = 425.474


=Sentinel=
{{Val list|legend=1| 14, 17, 31, 79, 110, 361bc }}
Comma: 8968066875/8589934592


POTE generator: ~512/405 = 425.474
[[Badness]]: 0.7234


Map: [<1 3 -3|, <0 -4 15|]
== 7-limit ==
Subgroup: 2.3.5.7


EDOs: {{EDOs|14, 17, 31, 79, 110, 361bc}}
[[Comma list]]: 1728/1715, 3645/3584


Badness: 0.7234
[[Mapping]]: [{{val| 1 3 -3 6 }}, {{val| 0 -4 15 -9 }}]


==7-limit==
{{Multival|legend=1| 4 -15 9 -33 3 63 }}
Commas: 1728/1715, 3645/3584


POTE generator: ~9/7 = 425.596
[[POTE generator]]: ~9/7 = 425.596


Map: [<1 3 -3 6|, <0 -4 15 -9|]
{{Val list|legend=1| 14, 17, 31, 110, 141, 172b, 375bc }}


Wedgie: <<4 -15 9 -33 3 63||
[[Badness]]: 0.0938


EDOs: {{EDOs|14, 17, 31, 110, 141, 172b, 375bc}}
== 11-limit ==
Subgroup: 2.3.5.7.11


Badness: 0.0938
Comma list: 99/98, 243/242, 385/384


==11-limit==
Mapping: [{{val| 1 3 -3 6 7 }}, {{val| 0 -4 15 -9 -10 }}]
Commas: 99/98, 243/242, 385/384


POTE generator: ~9/7 = 425.550
POTE generator: ~9/7 = 425.550


Map: [<1 3 -3 6 7|, <0 -4 15 -9 -10|]
Vals: {{val list| 14, 17, 31, 79, 110e, 141e }}


EDOs: {{EDOs|14, 17, 31, 79, 110e, 141e}}
Badness: 0.0396


Badness: 0.0396
== 13-limit ==
Subgroup: 2.3.5.7.11.13
 
Comma list: 99/98, 105/104, 144/143, 243/242


==13-limit==
Mapping: [{{val| 1 3 -3 6 7 3 }}, {{val| 0 -4 15 -9 -10 2 }}]
Commas: 99/98, 105/104, 144/143, 243/242


POTE generator: ~9/7 = 425.501
POTE generator: ~9/7 = 425.501


Map: [<1 3 -3 6 7 3|, <0 -4 15 -9 -10 2|]
Vals: {{val list| 14, 17, 31, 79f, 110ef, 141ef }}
 
Badness: 0.0374
 
= Diesic =
== 5-limit ==
Subgroup: 2.3.5
 
[[Comma list]]: 10460353203/9765625000


EDOs: {{EDOs|14, 17, 31, 79f, 110ef, 141ef}}
[[Mapping]]: [{{val| 1 2 3 }}, {{val| 0 -13 -21 }}]


Badness: 0.0374
[[POTE generator]]: ~6561/6250 = 38.571


=Diesic=
{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}
Comma: 10460353203/9765625000


POTE generator: ~6561/6250 = 38.571
[[Badness]]: 1.3447


Map: [<1 2 3|, <0 -13 -21|]
== 7-limit ==
Subgroup: 2.3.5.7


EDOs: {{EDOs|31, 156c, 187c, 218bc, 249bc, 280bc}}
[[Comma list]]: 1728/1715, 5103/5000


Badness: 1.3447
[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -13 -21 -6 }}]


==7-limit==
{{Multival|legend=1| 13 21 6 3 -27 -45 }}
Commas: 1728/1715, 5103/5000


POTE generator: ~36/35 = 38.567
[[POTE generator]]: ~36/35 = 38.567


Map: [<1 2 3 3|, <0 -13 -21 -6|]
{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}


Wedgie: <<13 21 6 3 -27 -45||
[[Badness]]: 0.1073


EDOs: {{EDOs|31, 156c, 187c, 218bc, 249bc, 280bc}}
== 11-limit ==
Subgroup: 2.3.5.7.11


Badness: 0.1073
Comma list: 121/120, 441/440, 891/875


==11-limit==
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -13 -21 -6 -17 }}]
Commas: 121/120, 441/440, 891/875


POTE generator: ~36/35 = 38.565
POTE generator: ~36/35 = 38.565


Map: [<1 2 3 3 4|, <0 -13 -21 -6 -17|]
Vals: {{val list| 31, 156ce, 187ce, 218bce, 249bce }}


EDOs: {{EDOs|31, 156ce, 187ce, 218bce, 249bce}}
Badness: 0.0442


Badness: 0.0442
== 13-limit ==
Subgroup: 2.3.5.7.11.13
 
Comma list: 66/65, 121/120, 343/338, 441/440


==13-limit==
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -13 -21 -6 -17 -9 }}]
Commas: 66/65, 121/120, 343/338, 441/440


POTE generator: ~36/35 = 38.444
POTE generator: ~36/35 = 38.444


Map: [<1 2 3 3 4 4|, <0 -13 -21 -6 -17 -9|]
Vals: {{val list| 31, 94cf, 125cf }}
 
Badness: 0.0381


EDOs: {{EDOs|31, 94cf, 125cf}}
= Pentorwell =
Subgroup: 2.3.5.7


Badness: 0.0381
Comma list: 1728/1715, 179200/177147


=Pentorwell=
Mapping: [{{val| 5 8 12 14 }}, {{val| 0 -1 -6 1 }}]
Commas: 1728/1715, 179200/177147


POTE generator: ~7/4 = 975.0872
POTE generator: ~7/4 = 975.0872


Map: [<5 8 12 14|, <0 -1 -6 1|]
{{Val list|legend=1| 5, 75, 80 }}


EDOs: {{EDOs|5, 75, 80}}
Badness: 0.148665


Badness: 0.148665
== 11-limit ==
Subgroup: 2.3.5.7.11
 
Comma list: 896/891, 1728/1715, 2200/2187


==11-limit==
Mapping: [{{val| 5 8 12 14 17 }}, {{val| 0 -1 -6 1 5 }}]
Commas: 896/891, 1728/1715, 2200/2187


POTE generator: ~7/4 = 975.1212
POTE generator: ~7/4 = 975.1212


Map: [<5 8 12 14 17|, <0 -1 -6 1 5|]
Vals: {{val list| 5, 75e, 80 }}
 
EDOs: {{EDOs|5, 75e, 80}}


Badness: 0.071702
Badness: 0.071702


[[Category:Temperament]]
[[Category:Regular temperament theory]]
[[Category:Temperament collection]]
[[Category:Orwellismic]]
[[Category:Rank 2]]

Revision as of 05:26, 25 April 2021

These temper out [6 3 -1 -3⟩ = 1728/1715, the orwellisma.

Temperaments not discussed here include:

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

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