Miscellaneous 5-limit temperaments
Hogzilla
Subgroup: 2.3.5
Comma: 4428675/4194304
Mapping: [⟨1 0 11], ⟨0 2 -11]]
POTE generator: ~1215/1024 = 252.649
Badness: 0.424685
Archaeotherium
Subgroup: 2.3.5
Comma: 597871125/536870912
Mapping: [⟨1 1 5], ⟨0 3 -14]]
POTE generator: ~1215/1024 = 230.351
Badness: 1.434855
7-limit
Subgroup: 2.3.5.7
Comma list: 405/392, 1029/1024
Mapping: [⟨1 1 5 3], ⟨0 3 -14 -1]]
POTE generator: ~8/7 = 230.258
Badness: 0.146306
Stump
Subgroup: 2.3.5
Comma: 273375/262144
Mapping: [⟨1 0 6], ⟨0 3 -7]]
POTE generator: ~64/45 = 631.737
Badness: 0.200600
Unsmate
Subgroup: 2.3.5
Comma: 17578125/16777216
Mapping: [⟨1 3 2], ⟨0 -9 2]]
POTE generator: ~2048/1875 = 189.049
Badness: 0.460168
Chromo
Subgroup: 2.3.5
Comma: 1220703125/1146617856
Mapping: [⟨1 1 2], ⟨0 13 7]]
POTE generator: ~25/24 = 53.922
Badness: 0.842835
7-limit
Subgroup: 2.3.5.7
Comma list: 875/864, 2430/2401
Mapping: [⟨1 1 2 2], ⟨0 13 7 18]]
POTE generator: ~25/24 = 53.816
Badness: 0.090769
Wizard
Subgroup: 2.3.5
Comma: 2197265625/2147483648
Mapping: [⟨2 1 5], ⟨0 6 -1]]
Mapping generators: ~42875/32768, ~9375/8192
POTE generator: ~5/4 = 383.212
Badness: 0.386367
Scales (Scala files): wizard22
Tritonic
Subgroup: 2.3.5
Comma: 553584375/536870912
Mapping: [⟨1 4 -3], ⟨0 -5 11]]
POTE generator: ~45/32 = 580.219
Badness: 0.378527
Merman
Sugbroup: 2.3.5
Comma: 1121008359375/1099511627776
Mapping: [⟨1 5 -5], ⟨0 -7 15]]
POTE generator: ~45/32 = 585.634
Badness: 0.453848
Septimin
Subgroup: 2.3.5
Comma: 35595703125/34359738368
Mapping: [⟨1 4 1], ⟨0 -11 6]]
POTE generator: ~75/64 = 263.658
Badness: 0.670947
Undeka
Subgroup: 2.3.5
Comma: 48828125/45349632
Mapping: [⟨11 0 8], ⟨0 1 1]]
POTE generator: ~3/2 = 703.829
Badness: 0.727539
7-limit
Subgroup: 2.3.5.7
Comma list: 875/864, 3200/3087
Mapping: [⟨11 0 8 31], ⟨0 1 1 0]]
Wedgie: ⟨⟨ 11 11 0 -8 -31 -31 ]]
POTE generator: ~3/2 = 708.792
Badness: 0.141782
11-limit
Sugbroup: 2.3.5.7.11
Comma list: 100/99, 352/343, 385/384
Mapping: [⟨11 0 8 31 38], ⟨0 1 1 0 0]]
POTE generator: ~3/2 = 706.768
Badness: 0.068672
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 65/63, 100/99, 169/165, 352/343
Mapping: [⟨11 0 8 31 38 23], ⟨0 1 1 0 0 1]]
POTE generator: ~3/2 = 707.764
Badness: 0.056528
Triskaidekic
Subgroup: 2.3.5
Comma: 1220703125/1073741824
Mapping: [⟨13 0 30], ⟨0 1 0]]
POTE generator: ~3/2 = 696.142
Badness: 2.241568
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 1875/1792
Mapping: [⟨13 0 30 16], ⟨0 1 0 1]]
Wedgie: ⟨⟨ 13 0 13 -30 -16 30 ]]
POTE generator: ~3/2 = 694.143
Badness: 0.219050
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 125/121, 385/384
Mapping: [⟨13 0 30 16 45], ⟨0 1 0 1 0]]
POTE generator: ~3/2 = 696.296
Badness: 0.098847
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 78/77, 99/98, 125/121, 1200/1183
Mapping: [⟨13 0 30 16 45 48], ⟨0 1 0 1 0 0]]
POTE generator: ~3/2 = 695.879
Badness: 0.059216
Phillips
Subgroup: 2.3.5
Comma: 9685512225/8589934592
Mapping: [⟨2 0 33], ⟨0 1 -9]]
POTE generator: ~3/2 = 691.455
Badness: 2.228904
7-limit
Subgroup: 2.3.5.7
Comma list: 1728/1715, 6561/6272
Mapping: [⟨2 0 33 -7], ⟨0 1 -9 4]]
Wedgie: ⟨⟨ 2 -18 8 -33 7 69 ]]
POTE generator: ~3/2 = 691.174
Badness: 0.228602
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 385/384, 729/704
Mapping: [⟨2 0 33 -7 -12], ⟨0 1 -9 4 6]]
POTE generator: ~3/2 = 691.040
Badness: 0.095777
Oncle
Subgroup: 2.3.5
Comma: 145282683375/137438953472
Mapping: [⟨1 1 6], ⟨0 3 -19]]
POTE generator: ~4096/3645 = 232.521
Badness: 1.244699
7-limit
Subgroup: 2.3.5.7
Comma list: 1029/1024, 2430/2401
Mapping: [⟨1 1 6 3], ⟨0 3 -19 -1]]
POTE generator: ~8/7 = 232.498
Badness: 0.088384
Quasimoha
Subgroup: 2.3.5
Comma: 2353579470675/2199023255552
Mapping: [⟨1 1 9], ⟨0 2 -23]]
POTE generator: ~1048576/885735 = 348.600
Badness: 1.986675
7-limit
Subgroup: 2.3.5.7
Comma list: 2401/2400, 3645/3584
Mapping: [⟨1 1 9 6], ⟨0 2 -23 -11]]
POTE generator: ~49/40 = 348.603
Badness: 0.110820
11-limit
Subgroup: 2.3.5.7.11
Comma list: 243/242, 441/440, 1815/1792
Mapping: [⟨1 1 9 6 2], ⟨0 2 -23 -11 5]]
POTE generator: ~11/9 = 348.639
Badness: 0.046181
Genocchi
Subgroup: 2.3.5
Comma: 2359296/1953125
Mapping: [⟨1 0 2], ⟨0 9 2]]
POTE generator: ~768/625 = 212.444
Badness: 1.404977
Misneb
Subgroup: 2.3.5
Comma: 145964630126953125/144115188075855872
Mapping: [⟨1 3 1], ⟨0 -15 14]]
POTE generator: ~16/15 = 113.240
Badness: 0.609540
7-limit
Subgroup: 2.3.5.7
Comma list: 225/224, 4194304/4117715
Mapping: [⟨1 3 1 3], ⟨0 -15 14 -2]]
Wedgie: ⟨⟨ 15 -14 2 -57 -39 44 ]]
POTE generator: ~16/15 = 113.235
Badness: 0.140970
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 176/175, 1310720/1294139
Mapping: [⟨1 3 1 3 1], ⟨0 -15 14 -2 26]]
POTE generator: ~16/15 = 113.323
Vals: Template:Val list
Badness: 0.085390
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 176/175, 640/637, 847/845
Mapping: [⟨1 3 1 3 1 2], ⟨0 -15 14 -2 26 18]]
POTE generator: ~16/15 = 113.323
Vals: Template:Val list
Badness: 0.045569
Musneb
Subgroup: 2.3.5.7.11
Comma list: 225/224, 385/384, 66550/64827
Mapping: [⟨1 3 1 3 6], ⟨0 -15 14 -2 -27]]
POTE generator: ~16/15 = 113.142
Vals: Template:Val list
Badness: 0.087333
Untriton
Subgroup: 2.3.5
Comma: 2270041927734375/2251799813685248
Mapping: [⟨1 6 -7], ⟨0 -9 19]]
POTE generator: ~45/32 = 588.722
Badness: 0.307073
7-limit
Subgroup: 2.3.5.7
Comma list: 225/224, 125000000/121060821
Mapping: [⟨1 6 -7 -7], ⟨0 -9 19 20]]
Wedgie: ⟨⟨ 9 -19 -20 -51 -57 7 ]]
POTE generator: ~7/5 = 588.641
Badness: 0.143976
11-limit
Subgroup: 2.3.5.7.11
Comma list: 121/120, 225/224, 22000/21609
Mapping: [⟨1 6 -7 -7 1], ⟨0 -9 19 20 5]]
POTE generator: ~7/5 = 588.626
Vals: Template:Val list
Badness: 0.074295
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 121/120, 225/224, 275/273, 1040/1029
Mapping: [⟨1 6 -7 -7 1 -12], ⟨0 -9 19 20 5 32]]
POTE generator: ~7/5 = 588.654
Vals: Template:Val list
Badness: 0.047441
Aufo
Subgroup: 2.3.5.7
Comma list: 6144/6125, 177147/175616
Mapping: [⟨1 6 -7 19], ⟨0 -9 19 -33]]
Wedgie: ⟨⟨ 9 -19 33 -51 27 130 ]]
POTE generator: ~45/32 = 588.782
Badness: 0.121428
11-limit
Subgroup: 2.3.5.7.11
Comma list: 121/120, 176/175, 177147/175616
Mapping: [⟨1 6 -7 19 1], ⟨0 -9 19 -33 5]]
POTE generator: ~45/32 = 588.811
Vals: Template:Val list
Badness: 0.088631
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 121/120, 176/175, 351/350, 58806/57967
Mapping: [⟨1 6 -7 19 1 -12], ⟨0 -9 19 -33 5 32]]
POTE generator: ~45/32 = 588.788
Vals: Template:Val list
Badness: 0.058507
Vinegar
Subgroup: 2.3.5
Comma: 16000000/14348907
Mapping: [⟨3 0 -5], ⟨0 2 5]]
POTE generator: ~10/9 = 156.861
Badness: 0.903002
Wronecki
Subgroup: 2.3.5
Comma: 531441/500000
Mapping: [⟨6 0 -5], ⟨0 1 2]]
POTE generator: ~3/2 = 695.040
Badness: 0.341757