Miscellaneous 5-limit temperaments
Below are listed some high-badness 5-limit temperaments (Smith TE logflat badness > 0.2, sorted by the same metric). Most of these are temperaments which have low accuracy, high-complexity generators, or large number of generators for simple consonances. This is not an exhaustive list. Only expect to find a temperament here if you have not found it in:
- Individual temperament families and clans
- Individual equivalence continua
- Fractional-octave temperaments
- Very low accuracy temperaments
- Very high accuracy temperaments
Lafayette
- For extensions, see Mint temperaments #Progression.
Subgroup: 2.3.5
Comma list: 3456/3125
Mapping: [⟨1 1 2], ⟨0 5 3]]
- POTE: ~2 = 1200.000, ~25/24 = 140.995
Optimal ET sequence: 8, 9, 17c
Badness: 0.200483
Stump
- For extensions, see Sensamagic clan #Pycnic and Marvel temperaments #Triton.
Subgroup: 2.3.5
Comma list: 273375/262144
Mapping: [⟨1 0 6], ⟨0 3 -7]]
- POTE: ~2 = 1200.000, ~64/45 = 631.737
Badness: 0.200600
Dodifo
- For extensions, see Porwell temperaments #Dodifo.
Subgroup: 2.3.5
Comma list: [-67 -9 35⟩
Mapping: [⟨1 12 5], ⟨0 -35 -9]]
- POTE: ~2 = 1200.000, ~768/625 = 357.088
Optimal ET sequence: 37, 84, 205, 289, 494, 783, 2060, 2843, 3626
Badness: 0.213112
Mabila
- For extensions, see Mabila family.
Subgroup: 2.3.5
Comma list: 268435456/263671875
Mapping: [⟨1 6 1], ⟨0 -10 3]]
- POTE: ~2 = 1200.000, ~512/375 = 529.685
Optimal ET sequence: 9, 25, 34, 77, 111, 145, 256c
Badness: 0.232481
Semidimfourth
- For extensions, see Ragismic microtemperaments #Semidimfourth.
Subgroup: 2.3.5
Comma list: [7 41 -31⟩
Mapping: [⟨1 21 28], ⟨0 -31 -41]]
- POTE: ~2 = 1200.000, ~162/125 = 448.449
Optimal ET sequence: 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc
Badness: 0.233376
Undim
Subgroup: 2.3.5
Comma list: 2199023255552/2179240250625
Mapping: [⟨4 6 11], ⟨0 1 -5]]
- POTE: ~300.000, ~3/2 = 702.605
Optimal ET sequence: 12, 140, 152, 164, 1076bc, 1228bc
Badness: 0.241703
Mynic
- For extensions, see Starling temperaments #Myna.
Subgroup: 2.3.5
Comma list: 10077696/9765625
Mapping: [⟨1 9 9], ⟨0 -10 -9]]
- POTE: ~2 = 1200.000, ~6/5 = 310.140
Optimal ET sequence: 27, 31, 58, 89, 325cc
Badness: 0.249965
Progress
- For extensions, see Archytas clan #Progress.
Subgroup: 2.3.5
Comma list: 32768/30375
Mapping: [⟨1 0 5], ⟨0 3 -5]]
- POTE: ~2 = 1200.000, ~64/45 = 561.264
Optimal ET sequence: 2, 13, 15, 32c, 47bc, 62bc
Badness: 0.246073
Gamera
- For extensions, see Ragismic microtemperaments #Gamera.
Subgroup: 2.3.5
Comma list: 12207031250000000000/12157665459056928801
Mapping: [⟨1 6 10], ⟨0 -23 -40]]
Optimal ET sequence: 26, 73, 99, 224, 323, 547, 870
- Smith: 0.273
- Dirichlet: 6.39
Tritriple
- For extensions, see Gamelismic clan #Tritriple.
Subgroup: 2.3.5
Comma list: [31 20 -27⟩
Mapping: [⟨1 -11 -7], ⟨0 27 20]]
- POTE: ~2 = 1200.000, ~864/625 = 559.332
Optimal ET sequence: 15, 88, 103, 118, 959, 1077
Badness: 0.283570
Kangaroo
- For extensions, see Trienstonic clan #Parakangaroo.
Subgroup: 2.3.5
Comma list: 64000/59049
Mapping: [⟨1 0 -3], ⟨0 3 10]]
- POTE: ~2 = 1200.000, ~27/20 = 561.195
Optimal ET sequence: 15, 47b, 62b
Badness: 0.295767
Tertiaseptal
- For extensions, see Breedsmic temperaments #Tertiaseptal.
Subgroup: 2.3.5
Comma list: 579357147216796875/576460752303423488
Mapping: [⟨1 3 2], ⟨0 -22 5]]
- POTE: ~2 = 1200.000, ~17578125/16777216 = 77.191
Optimal ET sequence: 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c
Badness: 0.297544
Gracecordial
- For extensions, see Marvel temperaments #Gracecordial.
Subgroup: 2.3.5
Comma list: 17433922005/17179869184
Mapping: [⟨1 0 34], ⟨0 1 -20]]
- POTE: ~2 = 1200.000, ~3/2 = 700.734
Optimal ET sequence: 12, 113, 125, 137
Badness: 0.306809
Untriton
- For extensions, see Marvel temperaments #Untriton, Porwell temperaments #Aufo and Triwellismic temperaments #Interaufo.
Subgroup: 2.3.5
Comma list: 2270041927734375/2251799813685248
Mapping: [⟨1 6 -7], ⟨0 -9 19]]
- POTE: ~2 = 1200.000, ~45/32 = 588.722
Optimal ET sequence: 51, 53, 267, 320, 373, 426, 479, 532, 2607bc
Badness: 0.307073
Counterhanson
- For extensions, see Ragismic microtemperaments #Counterkleismic.
Subgroup: 2.3.5
Comma list: [-20 -24 25⟩ = 298023223876953125/296148833645101056
Mapping: [⟨1 -5 -4], ⟨0 25 24]]
- POTE: ~2 = 1200.000, ~6/5 = 316.081
Optimal ET sequence: 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c
Badness: 0.317551
Nessafof
- For extensions, see Porwell temperaments #Nessafof.
Subgroup: 2.3.5
Comma list: 481469424205824/476837158203125
Mapping: [⟨3 2 5], ⟨0 7 5]]
- CTE: ~78125/62208 = 400.000, ~9765625/8957952 = 157.392
- CWE: ~78125/62208 = 400.000, ~9765625/8957952 = 157.409
Optimal ET sequence: 15, 54b, 69, 84, 99, 183, 282, 465, 1212c, 1677cc
- Smith: 0.333
- Dirichlet: 7.807
Wronecki
Subgroup: 2.3.5
Comma list: 531441/500000
Mapping: [⟨6 0 -5], ⟨0 1 2]]
- POTE: ~200.000, ~3/2 = 695.040
Optimal ET sequence: 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc
Badness: 0.341757
Delorean
- For extensions, see Mint temperaments #Subklei.
Subgroup: 2.3.5
Comma list: 17496/15625
Mapping: [⟨1 3 4], ⟨0 -6 -7]]
- POTE: ~2 = 1200.000, ~6/5 = 284.293
Optimal ET sequence: 4, 17c, 21, 38c
Badness: 0.355937
Majvam
- For extensions, see Subgroup temperaments #Majvam, Cataharry temperaments #Majvamoid, and Parkleiness temperaments #Majvamic.
Subgroup: 2.3.5
Comma list: 2404631929946112/2384185791015625
Mapping: [⟨1 10 5], ⟨0 -22 -7]]
- POTE: ~2 = 1200.000, ~125/96 = 458.995
Optimal ET sequence: 34, 115, 149, 183, 217, 400, 617
Badness: 0.356948
Beatles
- For extensions, see Archytas clan #Beatles.
Subgroup: 2.3.5
Comma list: 524288/492075
Mapping: [⟨1 1 5], ⟨0 2 -9]]
- POTE: ~2 = 1200.000, ~512/405 = 355.930
Optimal ET sequence: 10, 17c, 27, 64b, 91bc, 118bc
Badness: 0.358542
Magus
- For extensions, see Sensamagic clan #Magus and Starling temperaments #Amigo.
Subgroup: 2.3.5
Comma list: 50331648/48828125
Mapping: [⟨1 -2 2], ⟨0 11 1]]
- POTE: ~2 = 1200.000, ~5/4 = 391.225
Optimal ET sequence: 3, 40, 43, 46, 181c, 227c, 273c, 319c
Badness: 0.360162
Countermeantone
Subgroup: 2.3.5
Comma list: [10 23 -20⟩ = 96402615118848/95367431640625
Mapping: [⟨1 10 12], ⟨0 -20 -23]]
- POTE: ~2 = 1200.000, ~104976/78125 = 504.913
Optimal ET sequence: 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c
Badness: 0.373477
Tritonic
- For extensions, see Marvel temperaments #Tritonic.
Subgroup: 2.3.5
Comma list: 553584375/536870912
Mapping: [⟨1 4 -3], ⟨0 -5 11]]
- POTE: ~2 = 1200.000, ~45/32 = 580.219
Optimal ET sequence: 29, 31, 60, 91
Badness: 0.378527
Wizard
- For extensions, see Marvel temperaments #Wizard.
Subgroup: 2.3.5
Comma list: 2197265625/2147483648
Mapping: [⟨2 1 5], ⟨0 6 -1]]
Mapping generators: ~42875/32768, ~9375/8192
- POTE: ~42875/32768 = 600.000, ~5/4 = 383.212
Optimal ET sequence: 22, 50, 72, 166, 238c, 310c, 548bc
Badness: 0.386367
Scales (Scala files): wizard22
Quindromeda
Subgroup: 2.3.5
Comma list: 72057594037927936/71489976421753125
Mapping: [⟨1 2 0], ⟨0 -5 28]]
- POTE: ~2 = 1200.000, ~4428675/4194304 = 99.526
Optimal ET sequence: 12, 193, 205, 217, 422
Badness: 0.399849
Hogzilla
- For extensions, see Semaphoresmic clan #Helayo.
Subgroup: 2.3.5
Comma list: 4428675/4194304
Mapping: [⟨1 0 11], ⟨0 2 -11]]
- POTE: ~2 = 1200.000, ~1215/1024 = 252.649
Badness: 0.424685
Quintaleap
Subgroup: 2.3.5
Comma list: 137438953472/134521003125
Mapping: [⟨1 2 1], ⟨0 -5 16]]
- POTE: ~2 = 1200.000, ~135/128 = 99.267
Optimal ET sequence: 12, 109, 121, 133
Badness: 0.444506
Merman
- For extensions, see Marvel temperaments #Merman.
Subgroup: 2.3.5
Comma list: 1121008359375/1099511627776
Mapping: [⟨1 5 -5], ⟨0 -7 15]]
- POTE: ~2 = 1200.000, ~45/32 = 585.634
Optimal ET sequence: 41, 84, 125, 209, 334c, 543bc
Badness: 0.453848
Unsmate
Subgroup: 2.3.5
Comma list: 17578125/16777216
Mapping: [⟨1 3 2], ⟨0 -9 2]]
- POTE: ~2 = 1200.000, ~2048/1875 = 189.049
Optimal ET sequence: 13, 19, 89c, 108c, 127c, 146cc
Badness: 0.460168
Nusecond
- For extensions, see Starling temperaments #Nusecond.
Subgroup: 2.3.5
Comma list: 51018336/48828125
Mapping: [⟨1 3 4], ⟨0 -11 -13]]
- POTE: ~2 = 1200.000, ~3125/2916 = 154.523
Optimal ET sequence: 8, 23, 31, 70, 101, 132c, 233c, 365bcc
Badness: 0.466493
Comic
- For extensions, see Jubilismic clan #Comic.
Subgroup: 2.3.5
Comma list: 5120000/4782969
Mapping: [⟨2 1 -3], ⟨0 2 7]]
- POTE: ~600.000, ~81/80 = 55.382
Optimal ET sequence: 20c, 22, 86b, 108b, 130b
Badness: 0.491181
Sfourth
- For extensions, see Ragismic microtemperaments #Sfourth.
Subgroup: 2.3.5
Comma list: 617673396283947/610351562500000
Mapping: [⟨1 2 3], ⟨0 -19 -31]]
- POTE: ~2 = 1200.000, ~1594323/1562500 = 26.2342
Optimal ET sequence: 45, 46, 91, 137, 183
Badness: 0.504555
Thuja
- For extensions, see Starling temperaments #Thuja.
Subgroup: 2.3.5
Comma list: 254803968/244140625
Mapping: [⟨1 -4 0], ⟨0 12 5]]
- POTE: ~2 = 1200.000, ~3125/2304 = 558.592
Optimal ET sequence: 15, 43, 58
Badness: 0.511109
Leapday
- For extensions, see Hemifamity temperaments #Leapday and Porwell temperaments #Polypyth.
Subgroup: 2.3.5
Comma list: 10737418240/10460353203
Mapping: [⟨1 0 -31], ⟨0 1 21]]
- POTE: ~2 = 1200.000, ~3/2 = 704.179
Optimal ET sequence: 29, 46, 121, 167, 455bc, 622bbc
Badness: 0.523182
Vines
- For extensions, see Starling temperaments #Vines.
Subgroup: 2.3.5
Comma list: 156728328192/152587890625
Mapping: [⟨2 7 8], ⟨0 -8 -7]]
- POTE: ~600.000, ~6/5 = 312.713
Optimal ET sequence: 4, 42, 46, 96, 142
Badness: 0.541831
Emka
- For extensions, see Hemimean clan #Emka and Horwell temperaments #Emkay.
Subgroup: 2.3.5
Comma list: [-50 -8 27⟩
Mapping: [⟨1 14 6], ⟨0 -27 -8]]
- POTE: ~2 = 1200.000, ~9765625/7077888 = 551.784
Optimal ET sequence: 37, 50, 87, 137, 224
Badness: 0.544752
Misneb
- For extensions, see Marvel temperaments #Misneb.
Subgroup: 2.3.5
Comma list: 145964630126953125/144115188075855872
Mapping: [⟨1 3 1], ⟨0 -15 14]]
- POTE: ~2 = 1200.000, ~16/15 = 113.240
Optimal ET sequence: 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc
Badness: 0.609540
Semisept
- For extensions, see Hemimean clan #Semisept.
Subgroup: 2.3.5
Comma list: 782757789696/762939453125
Mapping: [⟨1 12 6], ⟨0 -17 -6]]
- POTE: ~2 = 1200.000, ~192/125 = 735.146
Optimal ET sequence: 18, 31, 80, 111
Badness: 0.630576
Mowgli
- For extensions, see Hemimean clan #Mowglic.
Subgroup: 2.3.5
Comma list: [0 22 -15⟩ = 31381059609/30517578125
Mapping: [⟨1 0 0], ⟨0 15 22]]
- POTE: ~2 = 1200.000, ~27/25 = 126.724
Optimal ET sequence: 19, 85c, 104c, 123, 142, 161
Badness: 0.653871
Septimin
- For extensions, see Marvel temperaments #Septimin.
Subgroup: 2.3.5
Comma list: 35595703125/34359738368
Mapping: [⟨1 4 1], ⟨0 -11 6]]
- POTE: ~2 = 1200.000, ~75/64 = 263.658
Optimal ET sequence: 9, 23b, 32, 41, 91, 132, 223c, 355bc
Badness: 0.670947
Slurpee
- For extensions, see Mint temperaments #Slurpee.
Subgroup: 2.3.5
Comma list: 177147/156250
Mapping: [⟨1 2 3], ⟨0 -7 -11]]
- POTE: ~2 = 1200.000, ~27/25 = 72.742
Optimal ET sequence: 16, 17c, 33
Badness: 0.689274
Pentadecal
- For extensions, see Cloudy clan #Pentadecal.
Subgroup: 2.3.5
Comma list: 30517578125/29386561536
Mapping: [⟨15 0 11], ⟨0 1 1]]
- POTE: ~80.000, ~3/2 = 702.652
Optimal ET sequence: 15, 45, 60, 75, 135, 210c, 345cc
Badness: 0.692042
Sentinel
- For extensions, see Orwellismic temperaments #Sentinel.
Subgroup: 2.3.5
Comma list: 8968066875/8589934592
Mapping: [⟨1 3 -3], ⟨0 -4 15]]
- POTE: ~2 = 1200.000, ~512/405 = 425.474
Optimal ET sequence: 14, 17, 31, 79, 110, 361bc
Badness: 0.723413
Undeka
- For extensions, see Keemic temperaments #Undeka.
Subgroup: 2.3.5
Comma list: 48828125/45349632
Mapping: [⟨11 0 8], ⟨0 1 1]]
- POTE: ~109.091, ~3/2 = 703.829
Optimal ET sequence: 22, 77c, 99c, 121c
Badness: 0.727539
Kumonga
- For extensions, see Starling temperaments #Kumonga.
Subgroup: 2.3.5
Comma list: 1289945088/1220703125
Mapping: [⟨1 4 4], ⟨0 -13 -9]]
- POTE: ~2 = 1200.000, ~144/125 = 222.912
Optimal ET sequence: 16, 27, 43, 70, 183cc
Badness: 0.729609
Mirkat
- For extensions, see Mirkwai clan #Mirkat.
Subgroup: 2.3.5
Comma list: [20 -39 18⟩
Mapping: [⟨3 2 1], ⟨0 6 13]]
Optimal ET sequence: 33c, 39, 72, 111, 183, 438, 621, 1425b
- Smith: 0.752
- Dirichlet: 17.631
Semidimi
- For extensions, see Ragismic microtemperaments #Semidimi.
Subgroup: 2.3.5
Comma list: [-12 -73 55⟩
Mapping: [⟨1 36 48], ⟨0 -55 -73]]
- POTE: ~2 = 1200.000, ~162/125 = 449.127
Optimal ET sequence: 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419
Badness: 0.754866
Slender
- For extensions, see Marvel temperaments #Slender.
Subgroup: 2.3.5
Comma list: 72081298828125/70368744177664
Mapping: [⟨1 2 2], ⟨0 -13 10]]
Optimal ET sequence: 31, 94, 125, 781bcc
- Smith: 0.761
- Dirichlet: 17.842
Quasitemp
- For extensions, see Keemic temperaments #Quasitemp.
Subgroup: 2.3.5
Comma list: 6103515625/5804752896
Mapping: [⟨1 5 5], ⟨0 -14 -11]]
- POTE: ~2 = 1200.000, ~3125/2592 = 292.702
Optimal ET sequence: 4, 37, 41
Badness: 0.767824
Cypress
- For extensions, see Starling temperaments #Cypress.
Subgroup: 2.3.5
Comma list: 258280326/244140625
Mapping: [⟨1 7 10], ⟨0 -12 -17]]
- POTE: ~2 = 1200.000, ~4374/3125 = 541.726
Optimal ET sequence: 11c, 20c, 31, 113c, 144c, 175c, 381bcc
Badness: 0.816635
Chromo
- For extensions, see Keemic temperaments #Chromo.
Subgroup: 2.3.5
Comma list: 1220703125/1146617856
Mapping: [⟨1 1 2], ⟨0 13 7]]
- POTE: ~2 = 1200.000, ~25/24 = 53.922
Optimal ET sequence: 22, 45, 67c, 89c
Badness: 0.842835
Tertiosec
- For extensions, see Marvel temperaments #Tertiosec.
Subgroup: 2.3.5
Comma list: [-89 21 24⟩
Mapping: [⟨3 7 5], ⟨0 -8 7]]
- POTE: ~400.000, ~16/15 = 112.281
Optimal ET sequence: 21, 54, 75, 96, 171
Badness: 0.851003
Fervor
- For extensions, see Archytas clan #Fervor.
Subgroup: 2.3.5
Comma list: 67108864/61509375
Mapping: [⟨1 4 -2], ⟨0 -5 9]]
- POTE: ~2 = 1200.000, ~64/45 = 577.705
Optimal ET sequence: 2, 25, 27
Badness: 0.852612
Bohpier
- For extensions, see Sensamagic clan #Bohpier.
Subgroup: 2.3.5
Comma list: 1220703125/1162261467
Mapping: [⟨1 0 0], ⟨0 13 19]]
- POTE: ~2 = 1200.000, ~27/25 = 146.476
Optimal ET sequence: 8, 41, 131, 172, 213c
Badness: 0.860534
Elvis
- For extensions, see Jubilismic clan #Elvis.
Subgroup: 2.3.5
Comma list: 36905625/33554432
Mapping: [⟨2 1 10], ⟨0 2 -5]]
- POTE: ~600.000, ~45/32 = 554.546
Optimal ET sequence: 26, 80bc, 106bc, 132bc
Badness: 0.884000
Vinegar
- For extensions, see Starling temperaments #Vinegar.
Subgroup: 2.3.5
Comma list: 16000000/14348907
Mapping: [⟨3 0 -5], ⟨0 2 5]]
- POTE: ~400.000, ~10/9 = 156.861
Optimal ET sequence: 15, 39c, 54, 69b, 84b
Badness: 0.903002
Oolong
- For extensions, see Starling temperaments #Oolong.
Subgroup: 2.3.5
Comma list: 793437161472/762939453125
Mapping: [⟨1 6 7], ⟨0 -17 -18]]
- POTE: ~2 = 1200.000, ~6/5 = 311.694
Optimal ET sequence: 23, 27, 50, 77
Badness: 0.942789
Oncle
- For extensions, see Gamelismic clan #Oncle.
Subgroup: 2.3.5
Comma list: 145282683375/137438953472
Mapping: [⟨1 1 6], ⟨0 3 -19]]
- POTE: ~2 = 1200.000, ~4096/3645 = 232.521
Optimal ET sequence: 31, 98c, 129c, 160bc, 289bbcc
Badness: 1.244699
Quasiorwell
- For extensions, see Breedsmic temperaments #Quasiorwell.
Subgroup: 2.3.5
Comma list: [-93 3 38⟩
Mapping: [⟨1 31 0], ⟨0 -38 3]]
- CTE: ~2 = 1200.000, ~3662109375/2147483648 = 928.896
- CWE: ~2 = 1200.000, ~3662109375/2147483648 = 928.893
Optimal ET sequence: 31, …, 177, 208, 239, 270, 841, 1111, 1381, 2492c
- Smith: 1.30
- Dirichlet: 30.581
Diesic
- For extensions, see Orwellismic temperaments #Diesic.
Subgroup: 2.3.5
Comma list: 10460353203/9765625000
Mapping: [⟨1 2 3], ⟨0 -13 -21]]
- POTE: ~2 = 1200.000, ~6561/6250 = 38.571
Optimal ET sequence: 31, 156c, 187c, 218bc, 249bc, 280bc
Badness: 1.344681
Quartemka
- For extensions, see Gamelismic clan #Quartemka.
Subgroup: 2.3.5
Comma list: 1907348632812500/1853020188851841
Mapping: [⟨1 4 6], ⟨0 -21 -32]]
- POTE: ~2 = 1200.000, ~27/25 = 137.962
Optimal ET sequence: 26, 61, 87, 287, 374, 461
Badness: 1.381216
Genocchi
Subgroup: 2.3.5
Comma list: 2359296/1953125
Mapping: [⟨1 0 2], ⟨0 9 2]]
- POTE: ~2 = 1200.000, ~768/625 = 212.444
Optimal ET sequence: 6b, 11b, 17c
Badness: 1.404977
Casablanca
- For extensions, see Starling temperaments #Casablanca.
Subgroup: 2.3.5
Comma list: 20061226008576/19073486328125
Mapping: [⟨1 -7 -14], ⟨0 19 14]]
- POTE: ~2 = 1200.000, ~864/625 = 542.208
Optimal ET sequence: 11b, 20b, 31, 73, 104c, 135c
Badness: 1.423736
Archaeotherium
- For extensions, see Gamelismic clan #Archaeotherium.
Subgroup: 2.3.5
Comma list: 597871125/536870912
Mapping: [⟨1 1 5], ⟨0 3 -14]]
- POTE: ~2 = 1200.000, ~1215/1024 = 230.351
Optimal ET sequence: 21, 26, 73bc, 99bc
Badness: 1.434855
Octacoid
Subgroup: 2.3.5
Comma list: 8589934592/7688671875
Mapping: [⟨1 1 3], ⟨0 8 -9]]
- mapping generators: ~2, ~16/15
Optimal ET sequence: 13, 14, 27
Badness: 1.75
Quasimoha
- For extensions, see Breedsmic temperaments #Quasimoha.
Subgroup: 2.3.5
Comma list: 2353579470675/2199023255552
Mapping: [⟨1 1 9], ⟨0 2 -23]]
- POTE: ~2 = 1200.000, ~1048576/885735 = 348.600
Optimal ET sequence: 31, 117c, 148bc, 179bc
Badness: 1.986675
Phillips
- For extensions, see Orwellismic temperaments #Phillips.
Subgroup: 2.3.5
Comma list: 9685512225/8589934592
Mapping: [⟨2 0 33], ⟨0 1 -9]]
- POTE: ~600.000, ~3/2 = 691.455
Optimal ET sequence: 14, 26, 66b, 92bc, 118bbc
Badness: 2.228904
Triskaidekic
- For extensions, see Orwellismic temperaments #Triskaidekic.
Subgroup: 2.3.5
Comma list: 1220703125/1073741824
Mapping: [⟨13 0 30], ⟨0 1 0]]
- POTE: ~92.308, ~3/2 = 696.142
Optimal ET sequence: 13, 26, 91c
Badness: 2.241568
Satin
- For extensions, see Canousmic temperaments #Satin.
Subgroup: 2.3.5
Comma list: [104 -70 3⟩
Mapping: [⟨1 2 12], ⟨0 -3 -70]]
- POTE: ~2 = 1200.000, ~[-34 23 -1⟩ = 165.907
Optimal ET sequence: 94, 217, 528, 745, 1273
Badness: 2.853049
Rarity
- For extensions, see No-sevens subgroup temperaments #Rarity.
The rarity temperament is notable due to the fact that it offers a 7L 4s scale of reasonable hardness, in the 5-limit and among relatively small edos.
Subgroup: 2.3.5
Comma list: [-57 17 13⟩
Mapping: [⟨1 11 -10], ⟨0 -13 17]]
- mapping generators: ~2, ~16384/10125
Optimal ET sequence: 11, 29, 69, 98c
Badness: 4.23