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
- See also: Sensamagic clan #Pycnic and Marvel temperaments #Triton
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
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
Untriton
- See also: Marvel temperaments #Untriton and Porwell temperaments #Aufo
Subgroup: 2.3.5
Comma: 2270041927734375/2251799813685248
Mapping: [⟨1 6 -7], ⟨0 -9 19]]
POTE generator: ~45/32 = 588.722
Badness: 0.307073
Septimin
Subgroup: 2.3.5
Comma: 35595703125/34359738368
Mapping: [⟨1 4 1], ⟨0 -11 6]]
POTE generator: ~75/64 = 263.658
Badness: 0.670947
Misneb
Subgroup: 2.3.5
Comma: 145964630126953125/144115188075855872
Mapping: [⟨1 3 1], ⟨0 -15 14]]
POTE generator: ~16/15 = 113.240
Badness: 0.609540
Quasitemp
Subgroup: 2.3.5
Comma list: 6103515625/5804752896
Mapping: [⟨1 5 5], ⟨0 -14 -11]]
POTE generator: ~3125/2592 = 292.702
Badness: 0.767824
Chromo
Subgroup: 2.3.5
Comma: 1220703125/1146617856
Mapping: [⟨1 1 2], ⟨0 13 7]]
POTE generator: ~25/24 = 53.922
Badness: 0.842835
Undeka
Subgroup: 2.3.5
Comma: 48828125/45349632
Mapping: [⟨11 0 8], ⟨0 1 1]]
POTE generator: ~3/2 = 703.829
Badness: 0.727539
Sentinel
Subgroup: 2.3.5
Comma list: 8968066875/8589934592
Mapping: [⟨1 3 -3], ⟨0 -4 15]]
POTE generator: ~512/405 = 425.474
Badness: 0.723413
Diesic
Subgroup: 2.3.5
Comma list: 10460353203/9765625000
Mapping: [⟨1 2 3], ⟨0 -13 -21]]
POTE generator: ~6561/6250 = 38.571
Badness: 1.344681
Phillips
Subgroup: 2.3.5
Comma: 9685512225/8589934592
Mapping: [⟨2 0 33], ⟨0 1 -9]]
POTE generator: ~3/2 = 691.455
Badness: 2.228904
Triskaidekic
Subgroup: 2.3.5
Comma: 1220703125/1073741824
Mapping: [⟨13 0 30], ⟨0 1 0]]
POTE generator: ~3/2 = 696.142
Badness: 2.241568
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
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