Canopic clan: Difference between revisions

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[[POTE generator]]: ~7/5 = 583.9584
[[POTE generator]]: ~7/5 = 583.9584


[[Val]]s: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]]
[[Optimal GPV sequence]]: [[13edt|b13]], [[62edt|b62]], [[75edt|b75]], [[88edt|b88]], [[101edt|b101]], [[114edt|b114]], [[355edt|b355]], [[469edt|b469]], [[583edt|b583]], [[697edt|b697]]


== Grendel ==
== Grendel ==
Line 50: Line 50:
POTE generator: ~5/4 = 386.856
POTE generator: ~5/4 = 386.856


Vals: {{Val list| 31, 90e, 121, 152, 335d, 487d }}
Optimal GPV sequence: {{Val list| 31, 90e, 121, 152, 335d, 487d }}


Badness: 0.019845
Badness: 0.019845
Line 63: Line 63:
POTE generator: ~5/4 = 386.826
POTE generator: ~5/4 = 386.826


Vals: {{Val list| 31, 121, 152f, 425deff }}
Optimal GPV sequence: {{Val list| 31, 121, 152f, 425deff }}


Badness: 0.024839
Badness: 0.024839
Line 76: Line 76:
POTE generator: ~5/4 = 386.812
POTE generator: ~5/4 = 386.812


Vals: {{Val list| 31, 121, 273defgg }}
Optimal GPV sequence: {{Val list| 31, 121, 273defgg }}


Badness: 0.021400
Badness: 0.021400
Line 89: Line 89:
Mapping: [{{val|1 9 2 7 17 -5 -3 -8}}, {{val|0 -23 1 -13 -42 27 22 38}}]
Mapping: [{{val|1 9 2 7 17 -5 -3 -8}}, {{val|0 -23 1 -13 -42 27 22 38}}]


Vals: {{Val list| 31, 121, 152fg, 273defgg }}
Optimal GPV sequence: {{Val list| 31, 121, 152fg, 273defgg }}


Badness: 0.018413
Badness: 0.018413
Line 117: Line 117:
POTE generator: ~3/2 = 702.623
POTE generator: ~3/2 = 702.623


Vals: {{Val list| 29cd, 41, 111, 152 }}
Optimal GPV sequence: {{Val list| 29cd, 41, 111, 152 }}


Badness: 0.026219
Badness: 0.026219
Line 130: Line 130:
POTE generator: ~3/2 = 702.644
POTE generator: ~3/2 = 702.644


Vals: {{Val list| 29cd, 41, 111, 152f }}
Optimal GPV sequence: {{Val list| 29cd, 41, 111, 152f }}


Badness: 0.024555
Badness: 0.024555
Line 143: Line 143:
POTE generator: ~3/2 = 702.660
POTE generator: ~3/2 = 702.660


Vals: {{Val list| 29cdg, 41, 111, 152fg, 263dfg }}
Optimal GPV sequence: {{Val list| 29cdg, 41, 111, 152fg, 263dfg }}


Badness: 0.021950
Badness: 0.021950
Line 156: Line 156:
POTE generator: ~3/2 = 702.657
POTE generator: ~3/2 = 702.657


Vals: {{Val list| 29cdgh, 41, 111, 152fg, 263dfgh }}
Optimal GPV sequence: {{Val list| 29cdgh, 41, 111, 152fg, 263dfgh }}


Badness: 0.016957
Badness: 0.016957
Line 184: Line 184:
POTE generator: ~7/5 = 585.114
POTE generator: ~7/5 = 585.114


Vals: {{Val list| 39d, 41, 80, 121 }}
Optimal GPV sequence: {{Val list| 39d, 41, 80, 121 }}


Badness: 0.029844
Badness: 0.029844
Line 197: Line 197:
POTE generator: ~7/5 = 585.123
POTE generator: ~7/5 = 585.123


Vals: {{Val list| 39d, 41, 80, 121 }}
Optimal GPV sequence: {{Val list| 39d, 41, 80, 121 }}


Badness: 0.025717
Badness: 0.025717
Line 210: Line 210:
POTE generator: ~7/5 = 585.116
POTE generator: ~7/5 = 585.116


Vals: {{Val list| 39d, 41, 80, 121 }}
Optimal GPV sequence: {{Val list| 39d, 41, 80, 121 }}


Badness: 0.021463
Badness: 0.021463
Line 223: Line 223:
POTE generator: ~7/5 = 585.109
POTE generator: ~7/5 = 585.109


Vals: {{Val list| 39d, 41, 80, 121 }}
Optimal GPV sequence: {{Val list| 39d, 41, 80, 121 }}


Badness: 0.017650
Badness: 0.017650
Line 236: Line 236:
POTE generator: ~7/5 = 585.111
POTE generator: ~7/5 = 585.111


Vals: {{Val list| 41, 80f, 121ff}}
Optimal GPV sequence: {{Val list| 41, 80f, 121ff }}


Badness: 0.033441
Badness: 0.033441
Line 249: Line 249:
POTE generator: ~7/5 = 585.283
POTE generator: ~7/5 = 585.283


Vals: {{Val list| 39dee, 41 }}
Optimal GPV sequence: {{Val list| 39dee, 41 }}


Badness: 0.057966
Badness: 0.057966
Line 262: Line 262:
POTE generator: ~7/5 = 585.232
POTE generator: ~7/5 = 585.232


Vals: {{Val list| 39deef, 41 }}
Optimal GPV sequence: {{Val list| 39deef, 41 }}


Badness: 0.040182
Badness: 0.040182
Line 290: Line 290:
POTE generator: ~11/9 = 348.219
POTE generator: ~11/9 = 348.219


Vals: {{Val list| 31, 193, 224, 703, 927d, 1151cd }}
Optimal GPV sequence: {{Val list| 31, 193, 224, 703, 927d, 1151cd }}


Badness: 0.027621
Badness: 0.027621
Line 303: Line 303:
POTE generator: ~11/9 = 348.213
POTE generator: ~11/9 = 348.213


Vals: {{Val list| 31, 193, 224 }}
Optimal GPV sequence: {{Val list| 31, 193, 224 }}


Badness: 0.025137
Badness: 0.025137
Line 331: Line 331:
POTE generator: ~10/9 = 183.528
POTE generator: ~10/9 = 183.528


Vals: {{Val list| 39d, 72, 111, 183, 255 }}
Optimal GPV sequence: {{Val list| 39d, 72, 111, 183, 255 }}


Badness: 0.022126
Badness: 0.022126
Line 344: Line 344:
POTE generator: ~10/9 = 183.577
POTE generator: ~10/9 = 183.577


Vals: {{Val list| 39df, 72, 111, 183, 255f }}
Optimal GPV sequence: {{Val list| 39df, 72, 111, 183, 255f }}


Badness: 0.018632
Badness: 0.018632
Line 357: Line 357:
POTE generator: ~10/9 = 183.579
POTE generator: ~10/9 = 183.579


Vals: {{Val list| 39dfg, 72, 111, 183, 255f }}
Optimal GPV sequence: {{Val list| 39dfg, 72, 111, 183, 255f }}


Badness: 0.011775
Badness: 0.011775
Line 385: Line 385:
POTE generator: ~121/105 = 244.719
POTE generator: ~121/105 = 244.719


Vals: {{Val list| 49, 103, 152, 255, 407, 966d }}
Optimal GPV sequence: {{Val list| 49, 103, 152, 255, 407, 966d }}


Badness: 0.034276
Badness: 0.034276
Line 398: Line 398:
POTE generator: ~15/13 = 244.714
POTE generator: ~15/13 = 244.714


Vals: {{Val list| 49f, 103, 152f, 255, 407f, 662df }}
Optimal GPV sequence: {{Val list| 49f, 103, 152f, 255, 407f, 662df }}


Badness: 0.028387
Badness: 0.028387
Line 428: Line 428:
POTE generator: ~55/42 = 466.070
POTE generator: ~55/42 = 466.070


Vals: {{Val list| 103, 121, 224 }}
Optimal GPV sequence: {{Val list| 103, 121, 224 }}


Badness: 0.043381
Badness: 0.043381
Line 441: Line 441:
POTE generator: ~55/42 = 466.071
POTE generator: ~55/42 = 466.071


Vals: {{Val list| 103, 121, 224 }}
Optimal GPV sequence: {{Val list| 103, 121, 224 }}


Badness: 0.021127
Badness: 0.021127
Line 471: Line 471:
POTE generator: ~35/33 = 104.916
POTE generator: ~35/33 = 104.916


Vals: {{Val list| 80, 103, 183 }}
Optimal GPV sequence: {{Val list| 80, 103, 183 }}


Badness: 0.041554
Badness: 0.041554
Line 484: Line 484:
POTE generator: ~35/33 = 104.908
POTE generator: ~35/33 = 104.908


Vals: {{Val list| 80, 103, 183, 469f, 652def }}
Optimal GPV sequence: {{Val list| 80, 103, 183, 469f, 652def }}


Badness: 0.027908
Badness: 0.027908
Line 497: Line 497:
POTE generator: ~17/16 = 104.909
POTE generator: ~17/16 = 104.909


Vals: {{Val list| 80, 103, 183, 469f, 652def }}
Optimal GPV sequence: {{Val list| 80, 103, 183, 469f, 652def }}


Badness: 0.020128
Badness: 0.020128
Line 527: Line 527:
POTE generator: ~15/14 = 118.968
POTE generator: ~15/14 = 118.968


Vals: {{Val list| 10, 101, 111, 121, 232d }}
Optimal GPV sequence: {{Val list| 10, 101, 111, 121, 232d }}


Badness: 0.066838
Badness: 0.066838
Line 540: Line 540:
POTE generator: ~15/14 = 118.968
POTE generator: ~15/14 = 118.968


Vals: {{Val list| 10, 101, 111, 121, 232d }}
Optimal GPV sequence: {{Val list| 10, 101, 111, 121, 232d }}


Badness: 0.031635
Badness: 0.031635
Line 553: Line 553:
POTE generator: ~15/14 = 118.968
POTE generator: ~15/14 = 118.968


Vals: {{Val list| 10, 101, 111, 121, 232dg }}
Optimal GPV sequence: {{Val list| 10, 101, 111, 121, 232dg }}


Badness: 0.019707
Badness: 0.019707
Line 566: Line 566:
POTE generator: ~15/14 = 118.964
POTE generator: ~15/14 = 118.964


Vals: {{Val list| 10, 101h, 111, 121, 232dg }}
Optimal GPV sequence: {{Val list| 10, 101h, 111, 121, 232dg }}


Badness: 0.017935
Badness: 0.017935

Revision as of 13:04, 8 January 2022

Temperaments of the mirkwai clan temper out the mirkwai comma, [0 3 4 -5 = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as these considered elsewhere:

Canopus

Subgroup: 3.5.7

Comma list: 16875/16807

Sval mapping: [1 3 3], 0 -5 -4]]

Sval mapping generators: ~3, ~7/5

POTE generator: ~7/5 = 583.9584

Optimal GPV sequence: b13, b62, b75, b88, b101, b114, b355, b469, b583, b697

Grendel

Subgroup: 2.3.5.7

Comma list: 6144/6125, 16875/16807

Mapping: [1 9 2 7], 0 -23 1 -13]]

Wedgie⟨⟨ 23 -1 13 -55 -44 33 ]]

POTE generator: ~5/4 = 386.863

Template:Val list

Badness: 0.051834

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 5632/5625

Mapping: [1 9 2 7 17], 0 -23 1 -13 -42]]

POTE generator: ~5/4 = 386.856

Optimal GPV sequence: Template:Val list

Badness: 0.019845

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 352/351, 540/539, 625/624, 1375/1372

Mapping: [1 9 2 7 17 -5], 0 -23 1 -13 -42 27]]

POTE generator: ~5/4 = 386.826

Optimal GPV sequence: Template:Val list

Badness: 0.024839

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 256/255, 352/351, 625/624, 715/714, 1275/1274

Mapping: [1 9 2 7 17 -5 -3], 0 -23 1 -13 -42 27 22]]

POTE generator: ~5/4 = 386.812

Optimal GPV sequence: Template:Val list

Badness: 0.021400

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 256/255, 352/351, 375/374, 400/399, 456/455, 715/714

POTE generator: ~5/4 = 386.819

Mapping: [1 9 2 7 17 -5 -3 -8], 0 -23 1 -13 -42 27 22 38]]

Optimal GPV sequence: Template:Val list

Badness: 0.018413

Kwai

Subgroup: 2.3.5.7

Comma list: 5120/5103, 16875/16807

Mapping: [1 0 -50 -40], 0 1 33 27]]

Wedgie⟨⟨ 1 33 27 50 40 -30 ]]

POTE generator: ~3/2 = 702.616

Template:Val list

Badness: 0.054476

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 16384/16335

Mapping: [1 0 -50 -40 32], 0 1 33 27 -18]]

POTE generator: ~3/2 = 702.623

Optimal GPV sequence: Template:Val list

Badness: 0.026219

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 352/351, 540/539, 729/728, 1375/1372

Mapping: [1 0 -50 -40 32 27], 0 1 33 27 -18 -21]]

POTE generator: ~3/2 = 702.644

Optimal GPV sequence: Template:Val list

Badness: 0.024555

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 256/255, 352/351, 540/539, 715/714, 1089/1088

Mapping: [1 0 -50 -40 32 27 58], 0 1 33 27 -18 -21 -34]]

POTE generator: ~3/2 = 702.660

Optimal GPV sequence: Template:Val list

Badness: 0.021950

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 256/255, 352/351, 400/399, 456/455, 715/714, 847/845

Mapping: [1 0 -50 -40 32 27 58 -56], 0 1 33 27 -18 -21 -34 38]]

POTE generator: ~3/2 = 702.657

Optimal GPV sequence: Template:Val list

Badness: 0.016957

Pluto

Subgroup: 2.3.5.7

Comma list: 4000/3969, 10976/10935

Mapping: [1 5 15 15], 0 -7 -26 -25]]

Wedgie⟨⟨ 7 26 25 25 20 -15 ]]

POTE generator: ~7/5 = 585.147

Template:Val list

Badness: 0.057514

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 896/891, 1375/1372

Mapping: [1 5 15 15 2], 0 -7 -26 -25 3]]

POTE generator: ~7/5 = 585.114

Optimal GPV sequence: Template:Val list

Badness: 0.029844

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 325/324, 352/351, 364/363, 540/539

Mapping: [1 5 15 15 2 -8], 0 -7 -26 -25 3 24]]

POTE generator: ~7/5 = 585.123

Optimal GPV sequence: Template:Val list

Badness: 0.025717

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 256/255, 325/324, 352/351, 364/363, 540/539

Mapping: [1 5 15 15 2 -8 -12], 0 -7 -26 -25 3 24 33]]

POTE generator: ~7/5 = 585.116

Optimal GPV sequence: Template:Val list

Badness: 0.021463

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 190/189, 256/255, 325/324, 352/351, 361/360, 595/594

Mapping: [1 5 15 15 2 -8 -12 14], 0 -7 -26 -25 3 24 33 -20]]

POTE generator: ~7/5 = 585.109

Optimal GPV sequence: Template:Val list

Badness: 0.017650

Orcus

Subgroup: 2.3.5.7.11.13

Comma list: 144/143, 196/195, 275/273, 896/891

Mapping: [1 5 15 15 2 12], 0 -7 -26 -25 3 -17]]

POTE generator: ~7/5 = 585.111

Optimal GPV sequence: Template:Val list

Badness: 0.033441

Plutino

Subgroup: 2.3.5.7.11

Comma list: 100/99, 245/242, 10976/10935

Mapping: [1 5 15 15 22], 0 -7 -26 -25 -38]]

POTE generator: ~7/5 = 585.283

Optimal GPV sequence: Template:Val list

Badness: 0.057966

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 100/99, 196/195, 245/242, 729/728

Mapping: [1 5 15 15 22 12], 0 -7 -26 -25 -38 -17]]

POTE generator: ~7/5 = 585.232

Optimal GPV sequence: Template:Val list

Badness: 0.040182

Eris

Subgroup: 2.3.5.7

Comma list: 16875/16807, 65625/65536

Mapping: [1 10 0 6], 0 -29 8 -11]]

Wedgie⟨⟨ 29 -8 11 -80 -64 48 ]]

POTE generator: ~60/49 = 348.216

Template:Val list

Badness: 0.074719

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 65625/65536

Mapping: [1 10 0 6 20], 0 -29 8 -11 -57]]

POTE generator: ~11/9 = 348.219

Optimal GPV sequence: Template:Val list

Badness: 0.027621

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 625/624, 1375/1372, 4096/4095

Mapping: [1 10 0 6 20 -14], 0 -29 8 -11 -57 61]]

POTE generator: ~11/9 = 348.213

Optimal GPV sequence: Template:Val list

Badness: 0.025137

Mirkat

Subgroup: 2.3.5.7

Comma list: 16875/16807, 19683/19600

Mapping: [3 2 1 2], 0 6 13 14]]

Wedgie⟨⟨ 18 39 42 20 16 -12 ]]

POTE generator: ~10/9 = 183.539

Template:Val list

Badness: 0.059376

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 8019/8000

Mapping: [3 2 1 2 9], 0 6 13 14 3]]

POTE generator: ~10/9 = 183.528

Optimal GPV sequence: Template:Val list

Badness: 0.022126

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 540/539, 676/675, 1375/1372

Mapping: [3 2 1 2 9 1], 0 6 13 14 3 22]]

POTE generator: ~10/9 = 183.577

Optimal GPV sequence: Template:Val list

Badness: 0.018632

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 351/350, 442/441, 540/539, 561/560, 715/714

Mapping: [3 2 1 2 9 1 4], 0 6 13 14 3 22 18]]

POTE generator: ~10/9 = 183.579

Optimal GPV sequence: Template:Val list

Badness: 0.011775

Subsemifourth

Subgroup: 2.3.5.7

Comma list: 16875/16807, 26873856/26796875

Mapping: [1 -8 -4 -8], 0 47 31 53]]

Wedgie⟨⟨ 47 31 53 -60 -48 36 ]]

POTE generator: ~144/125 = 244.719

Template:Val list

Badness: 0.135173

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 234375/234256

Mapping: [1 -8 -4 -8 -10], 0 47 31 53 66]]

POTE generator: ~121/105 = 244.719

Optimal GPV sequence: Template:Val list

Badness: 0.034276

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 847/845, 1375/1372, 1575/1573

Mapping: [1 -8 -4 -8 -10 -12], 0 47 31 53 66 77]]

POTE generator: ~15/13 = 244.714

Optimal GPV sequence: Template:Val list

Badness: 0.028387

Hemiseptisix

The name hemiseptisix means a half of septimal major sixth (12/7). The hemiseptisix temperament (103&121) tempers out the mirkwai comma and 95703125/95551488 (pontiqak comma, lazozotritriyo) in the 7-limit. 224EDO provides an excellent tuning for 7, 11, and 13-limit hemiseptisix.

Subgroup: 2.3.5.7

Comma list: 16875/16807, 95703125/95551488

Mapping: [1 -19 -7 -17], 0 53 24 51]]

Wedgie⟨⟨ 53 24 51 -85 -68 51 ]]

POTE generator: ~98/75 = 466.071

Template:Val list

Badness: 0.162826

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 2734375/2725888

Mapping: [1 -19 -7 -17 -28], 0 53 24 51 81]]

POTE generator: ~55/42 = 466.070

Optimal GPV sequence: Template:Val list

Badness: 0.043381

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 625/624, 1375/1372, 2200/2197

Mapping: [1 -19 -7 -17 -28 -13], 0 53 24 51 81 43]]

POTE generator: ~55/42 = 466.071

Optimal GPV sequence: Template:Val list

Badness: 0.021127

Septendesemi

The name septendesemi means a septendecimal semitone (17/16). The septendesemi temperament (80&103) tempers out the mirkwai comma and 1959552/1953125 (parkleiness comma, zotritrigu) in the 7-limit. 183EDO provides an excellent tuning for 7, 11, 13, and 17-limit septendesemi.

Subgroup: 2.3.5.7

Comma list: 16875/16807, 1959552/1953125

Mapping: [1 -2 -1 -2], 0 41 38 55]]

Wedgie⟨⟨ 41 38 55 -35 -28 21 ]]

POTE generator: ~343/324 = 104.916

Template:Val list

Badness: 0.146795

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 43923/43750

Mapping: [1 -2 -1 -2 -1], 0 41 38 55 51]]

POTE generator: ~35/33 = 104.916

Optimal GPV sequence: Template:Val list

Badness: 0.041554

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 540/539, 1375/1372, 4225/4224

Mapping: [1 -2 -1 -2 -1 3], 0 41 38 55 51 8]]

POTE generator: ~35/33 = 104.908

Optimal GPV sequence: Template:Val list

Badness: 0.027908

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224

Mapping: [1 -2 -1 -2 -1 3 4], 0 41 38 55 51 8 1]]

POTE generator: ~17/16 = 104.909

Optimal GPV sequence: Template:Val list

Badness: 0.020128

Subsedia

The generator for subsedia (10&111) is 0.5 cents flat of 15/14-wide semitone and tempers out the mirkwai comma and 65536/64827 (buzzardisma, saquadru comma). In this temperament, three generators makes ~16/13, five of them equals ~24/17, twelve of them equals ~16/7, sixteen of them equals ~3/1, and 45 of them equals ~22/1.

Subgroup: 2.3.5.7

Comma list: 16875/16807, 65536/64827

Mapping: [1 0 5 4], 0 16 -27 -12]]

Wedgie⟨⟨ 16 -27 -12 -80 -64 48 ]]

POTE generator: ~15/14 = 118.965

Template:Val list

Badness: 0.157658

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1375/1372, 65536/64827

Mapping: [1 0 5 4 -1], 0 16 -27 -12 45]]

POTE generator: ~15/14 = 118.968

Optimal GPV sequence: Template:Val list

Badness: 0.066838

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 352/351, 540/539, 676/675, 1375/1372

Mapping: [1 0 5 4 -1 4], 0 16 -27 -12 45 -3]]

POTE generator: ~15/14 = 118.968

Optimal GPV sequence: Template:Val list

Badness: 0.031635

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 256/255, 352/351, 442/441, 540/539, 715/714

Mapping: [1 0 5 4 -1 4 3], 0 16 -27 -12 45 -3 11]]

POTE generator: ~15/14 = 118.968

Optimal GPV sequence: Template:Val list

Badness: 0.019707

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 256/255, 352/351, 400/399, 442/441, 456/455, 715/714

Mapping: [1 0 5 4 -1 4 3 10], 0 16 -27 -12 45 -3 11 -58]]

POTE generator: ~15/14 = 118.964

Optimal GPV sequence: Template:Val list

Badness: 0.017935