Miscellaneous 5-limit temperaments

Below are listed some high badness temperaments (Badness > 0.2).

Lafayette

See also: Mint temperaments § Progression

Subgroup: 2.3.5

Comma: 3456/3125

Mapping: [⟨1 1 2], ⟨0 5 3]]

POTE generator: ~25/24 = 140.995

Badness: 0.200483

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

Dodifo

See also: Porwell temperaments § Dodifo

Subgroup: 2.3.5

Comma: [-67 -9 35⟩

Mapping: [⟨1 12 5], ⟨0 -35 -9]]

POTE generator: ~768/625 = 357.088

Badness: 0.213112

Mabila

See also: Marvel temperaments #Amavil and Porwell temperaments #Hemimabila

Subgroup: 2.3.5

Comma: 268435456/263671875

Mapping: [⟨1 6 1], ⟨0 -10 3]]

POTE generator: ~512/375 = 529.685

Badness: 0.232481

Undim

See also: Undim family

Subgroup: 2.3.5

Comma: 2199023255552/2179240250625

Mapping: [⟨4 6 11], ⟨0 1 -5]]

POTE generator: ~3/2 = 702.605

Badness: 0.241703

Progress

See also: Archytas clan § Progress

Subgroup: 2.3.5

Comma: 32768/30375

Mapping: [⟨1 0 5], ⟨0 3 -5]]

POTE generator: ~64/45 = 561.264

Badness: 0.246073

Mynic

See also: Starling temperaments § Myna

Subgroup: 2.3.5

Comma: 10077696/9765625

Mapping: [⟨1 9 9], ⟨0 -10 -9]]

POTE generator: ~6/5 = 310.140

Badness: 0.249965

Countriton

See also: Hemifamity temperaments § Countriton

Subgroup: 2.3.5

Comma: 16777216000000000/16677181699666569

Mapping: [⟨1 6 19], ⟨0 -9 -34]]

POTE generator: ~14348907/10240000 = 588.636

Badness: 0.255594

Kangaroo

See also: Trienstonic clan § Kangaroo

Subgroup: 2.3.5

Comma: 64000/59049

Mapping: [⟨1 0 -3], ⟨0 3 10]]

POTE generator: ~27/20 = 561.195

Badness: 0.295767

Tertiaseptal

See also: Breedsmic temperaments § Tertiaseptal

Subgroup: 2.3.5

Comma: 579357147216796875/576460752303423488

Mapping: [⟨1 3 2], ⟨0 -22 5]]

POTE generator: ~17578125/16777216 = 77.191

Badness: 0.297544

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

Counterhanson

See also: Ragismic microtemperaments § Counterkleismic

Subgroup: 2.3.5

Comma: [-20 -24 25⟩ = 298023223876953125/296148833645101056

Mapping: [⟨1 -5 -4], ⟨0 25 24]]

POTE generator: ~6/5 = 316.081

Badness: 0.317551

Sevond

See also: Keemic temperaments § Sevond

Subgroup: 2.3.5

Comma: 5000000/4782969

Mapping: [⟨7 0 -6], ⟨0 1 2]]

POTE generator: ~3/2 = 706.288

Badness: 0.339335

Absurdity

See also: Porwell temperaments § Absurdity

Subgroup: 2.3.5

Comma: 10460353203/10240000000

Mapping: [⟨7 0 -17], ⟨0 1 3]]

POTE generator: ~10/9 = 185.901

Badness: 0.341202

Wronecki

Subgroup: 2.3.5

Comma: 531441/500000

Mapping: [⟨6 0 -5], ⟨0 1 2]]

POTE generator: ~3/2 = 695.040

Badness: 0.341757

Delorean

See also: Mint temperaments § Subklei

Subgroup: 2.3.5

Comma: 17496/15625

Mapping: [⟨1 3 4], ⟨0 -6 -7]]

POTE generator: ~6/5 = 284.293

Badness: 0.355937

Majvam

See also: Subgroup temperaments #Majvam, Cataharry temperaments #Majvamoid, and Parkleiness temperaments #Majvamic

Subgroup: 2.3.5

Comma: 2404631929946112/2384185791015625

Mapping: [⟨1 10 5], ⟨0 -22 -7]]

POTE generator: ~125/96 = 458.995

Badness: 0.356948

Beatles

See also: Archytas clan § Beatles

Subgroup: 2.3.5

Comma: 524288/492075

Mapping: [⟨1 1 5], ⟨0 2 -9]]

POTE generator: ~512/405 = 355.930

Badness: 0.358542

Magus

See also: Sensamagic clan #Magus and Starling temperaments #Amigo

Subgroup: 2.3.5

Comma: 50331648/48828125

Mapping: [⟨1 -2 2], ⟨0 11 1]]

POTE generator: ~5/4 = 391.225

Badness: 0.360162

Hemififths

See also: Breedsmic temperaments § Hemififths

Subgroup: 2.3.5

Comma: 858993459200/847288609443

Mapping: [⟨1 1 -5], ⟨0 2 25]]

POTE generator: ~655360/531441 = 351.476

Badness: 0.372848

Countermeantone

Subgroup: 2.3.5

Comma: [10 23 -20⟩ = 96402615118848/95367431640625

Mapping: [⟨1 10 12], ⟨0 -20 -23]]

POTE generator: ~104976/78125 = 504.913

Badness: 0.373477

Tritonic

See also: Marvel temperaments § Tritonic

Subgroup: 2.3.5

Comma: 553584375/536870912

Mapping: [⟨1 4 -3], ⟨0 -5 11]]

POTE generator: ~45/32 = 580.219

Badness: 0.378527

Wizard

See also: Marvel temperaments § 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

Quindromeda

See also: Quindromeda family

Subgroup: 2.3.5

Comma: 72057594037927936/71489976421753125

POTE generator: ~4428675/4194304 = 99.526

Mapping: [⟨1 2 0], ⟨0 -5 28]]

Badness: 0.399849

Hogzilla

Subgroup: 2.3.5

Comma: 4428675/4194304

Mapping: [⟨1 0 11], ⟨0 2 -11]]

POTE generator: ~1215/1024 = 252.649

Badness: 0.424685

Tridecatonic

See also: Octagar temperaments #Tridecatonic, Ragismic microtemperaments #Trideci, and 26th-octave temperaments

Subgroup: 2.3.5

Comma: 2541865828329/2500000000000

Mapping: [⟨13 21 31], ⟨0 -1 -2]]

POTE generator: ~3/2 = 701.0837

Badness: 0.437494

Quintaleap

See also: Quintaleap family

Subgroup: 2.3.5

Comma: 137438953472/134521003125

Mapping: [⟨1 2 1], ⟨0 -5 16]]

POTE generator: ~135/128 = 99.267

Badness: 0.444506

Merman

See also: Marvel temperaments § Merman

Sugbroup: 2.3.5

Comma: 1121008359375/1099511627776

Mapping: [⟨1 5 -5], ⟨0 -7 15]]

POTE generator: ~45/32 = 585.634

Badness: 0.453848

Unsmate

Subgroup: 2.3.5

Comma: 17578125/16777216

Mapping: [⟨1 3 2], ⟨0 -9 2]]

POTE generator: ~2048/1875 = 189.049

Badness: 0.460168

Nusecond

See also: Starling temperaments § Nusecond

Subgroup: 2.3.5

Comma: 51018336/48828125

Mapping: [⟨1 3 4], ⟨0 -11 -13]]

POTE generator: ~3125/2916 = 154.523

Badness: 0.466493

Thuja

See also: Starling temperaments § Thuja

Subgroup: 2.3.5

Comma: 254803968/244140625

Mapping: [⟨1 -4 0], ⟨0 12 5]]

POTE generator: ~3125/2304 = 558.592

Badness: 0.511109

Leapday

See also: Hemifamity temperaments #Leapday and Porwell temperaments #Polypyth

Subgroup: 2.3.5

Comma: 10737418240/10460353203

Mapping: [⟨1 0 -31], ⟨0 1 21]]

POTE generator: ~3/2 = 704.179

Badness: 0.523182

Septendecic

Subgroup: 2.3.5

Comma: [27 -17⟩ = 134217728/129140163

Mapping: [⟨17 27 0], ⟨0 0 1]]

Mapping generators: ~531441/524288, ~5

POTE generator: ~5/4 = 389.193

Badness: 0.541384

Vines

See also: Starling temperaments § Vines

Subgroup: 2.3.5

Comma: 156728328192/152587890625

Mapping: [⟨2 7 8], ⟨0 -8 -7]]

POTE generator: ~6/5 = 312.713

Badness: 0.541831

Emka

See also: Hemimean clan #Emka and Horwell temperaments #Emkay

Subgroup: 2.3.5

Comma: [-50 -8 27⟩

Mapping: [⟨1 14 6], ⟨0 -27 -8]]

POTE generator: ~9765625/7077888 = 551.784

Badness: 0.544752

Misneb

See also: Marvel temperaments § Misneb

Subgroup: 2.3.5

Comma: 145964630126953125/144115188075855872

Mapping: [⟨1 3 1], ⟨0 -15 14]]

POTE generator: ~16/15 = 113.240

Badness: 0.609540

Semisept

See also: Hemimean clan § Semisept

Subgroup: 2.3.5

Comma: 782757789696/762939453125

Mapping: [⟨1 12 6], ⟨0 -17 -6]]

POTE generator: ~192/125 = 735.146

Badness: 0.630576

Kwai

See also: Mirkwai clan § Kwai

Subgroup: 2.3.5

Comma: 5629499534213120/5559060566555523

Mapping: [⟨1 2 16], ⟨0 -1 -33]]

POTE generator: ~3/2 = 702.630

Badness: 0.636715

Mowgli

See also: Hemimean clan § Mowglic

Subgroup: 2.3.5

Comma: [0 22 -15⟩ = 31381059609/30517578125

Mapping: [⟨1 0 0], ⟨0 15 22]]

POTE generator: ~27/25 = 126.724

Badness: 0.653871

Septimin

See also: Marvel temperaments § Septimin

Subgroup: 2.3.5

Comma: 35595703125/34359738368

Mapping: [⟨1 4 1], ⟨0 -11 6]]

POTE generator: ~75/64 = 263.658

Badness: 0.670947

Slurpee

See also: Mint temperaments § Slurpee

Subgroup: 2.3.5

Comma: 177147/156250

Mapping: [⟨1 2 3], ⟨0 -7 -11]]

POTE generator: ~27/25 = 72.742

Badness: 0.689274

Sentinel

See also: Orwellismic temperaments § Sentinel

Subgroup: 2.3.5

Comma: 8968066875/8589934592

Mapping: [⟨1 3 -3], ⟨0 -4 15]]

POTE generator: ~512/405 = 425.474

Badness: 0.723413

Undeka

See also: Keemic temperaments § Undeka

Subgroup: 2.3.5

Comma: 48828125/45349632

Mapping: [⟨11 0 8], ⟨0 1 1]]

POTE generator: ~3/2 = 703.829

Badness: 0.727539

Kumonga

See also: Starling temperaments § Kumonga

Subgroup: 2.3.5

Comma: 1289945088/1220703125

Mapping: [⟨1 4 4], ⟨0 -13 -9]]

POTE generator: ~144/125 = 222.912

Badness: 0.729609

Quasitemp

See also: Keemic temperaments § Quasitemp

Subgroup: 2.3.5

Comma: 6103515625/5804752896

Mapping: [⟨1 5 5], ⟨0 -14 -11]]

POTE generator: ~3125/2592 = 292.702

Badness: 0.767824

Cypress

See also: Starling temperaments § Cypress

Subgroup: 2.3.5

Comma: 258280326/244140625

Mapping: [⟨1 7 10], ⟨0 -12 -17]]

POTE generator: ~4374/3125 = 541.726

Badness: 0.816635

Chromo

See also: Keemic temperaments § Chromo

Subgroup: 2.3.5

Comma: 1220703125/1146617856

Mapping: [⟨1 1 2], ⟨0 13 7]]

POTE generator: ~25/24 = 53.922

Badness: 0.842835

Fervor

See also: Archytas clan § Fervor

Subgroup: 2.3.5

Comma: 67108864/61509375

Mapping: [⟨1 4 -2], ⟨0 -5 9]]

POTE generator: ~64/45 = 577.705

Badness: 0.852612

Bohpier

See also: Sensamagic clan § Bohpier

Subgroup: 2.3.5

Comma: 1220703125/1162261467

Mapping: [⟨1 0 0], ⟨0 13 19]]

POTE generator: ~27/25 = 146.476

Badness: 0.860534

Vinegar

Subgroup: 2.3.5

Comma: 16000000/14348907

Mapping: [⟨3 0 -5], ⟨0 2 5]]

POTE generator: ~10/9 = 156.861

Badness: 0.903002

Oolong

See also: Starling temperaments § Oolong

Subgroup: 2.3.5

Comma: 793437161472/762939453125

Mapping: [⟨1 6 7], ⟨0 -17 -18]]

POTE generator: ~6/5 = 311.694

Badness: 0.942789

Mystery

See also: Mystery and Hemifamity temperaments #Mystery

Subgroup: 2.3.5

Comma: [46 -29⟩

Mapping: [⟨29 46 0], ⟨0 0 1]]

Mapping generators: ~531441/524288, ~5

POTE generator: ~5/4 = 387.408

Badness: 1.020556

Cotoneum

See also: Hemimage temperaments § Cotoneum

Comma: [80 -49 -1⟩

Mapping: [⟨1 2 -18], ⟨0 -1 49]]

POTE generator: ~3/2 = 702.315

Badness: 1.240078

Oncle

See also: Gamelismic clan § Oncle

Subgroup: 2.3.5

Comma: 145282683375/137438953472

Mapping: [⟨1 1 6], ⟨0 3 -19]]

POTE generator: ~4096/3645 = 232.521

Badness: 1.244699

Diesic

See also: Orwellismic temperaments § Diesic

Subgroup: 2.3.5

Comma: 10460353203/9765625000

Mapping: [⟨1 2 3], ⟨0 -13 -21]]

POTE generator: ~6561/6250 = 38.571

Badness: 1.344681

Quartemka

See also: Gamelismic clan § Quartemka

Subgroup: 2.3.5

Comma: 1907348632812500/1853020188851841

Mapping: [⟨1 4 6], ⟨0 -21 -32]]

POTE generator: ~27/25 = 137.962

Badness: 1.381216

Genocchi

Subgroup: 2.3.5

Comma: 2359296/1953125

Mapping: [⟨1 0 2], ⟨0 9 2]]

POTE generator: ~768/625 = 212.444

Badness: 1.404977

Casablanca

See also: Starling temperaments § Casablanca

Subgroup: 2.3.5

Comma: 20061226008576/19073486328125

Mapping: [⟨1 -7 -14], ⟨0 19 14]]

POTE generator: ~864/625 = 542.208

Badness: 1.423736

Archaeotherium

See also: Gamelismic clan § Archaeotherium

Subgroup: 2.3.5

Comma: 597871125/536870912

Mapping: [⟨1 1 5], ⟨0 3 -14]]

POTE generator: ~1215/1024 = 230.351

Badness: 1.434855

Newt

See also: Breedsmic temperaments § Newt

Comma: [95 -57 -2⟩

Mapping: [⟨1 1 19], ⟨0 2 -57]]

POTE generator: ~[47 -28 -1⟩ = 351.114

Badness: 1.528465

Quasimoha

See also: Breedsmic temperaments § Quasimoha

Subgroup: 2.3.5

Comma: 2353579470675/2199023255552

Mapping: [⟨1 1 9], ⟨0 2 -23]]

POTE generator: ~1048576/885735 = 348.600

Badness: 1.986675

Phillips

See also: Orwellismic temperaments § 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

See also: Orwellismic temperaments § Triskaidekic

Subgroup: 2.3.5

Comma: 1220703125/1073741824

Mapping: [⟨13 0 30], ⟨0 1 0]]

POTE generator: ~3/2 = 696.142

Badness: 2.241568

Satin

See also: Canousmic temperaments § Satin

Subgroup: 2.3.5

Comma: [104 -70 3⟩

Mapping: [⟨1 2 12], ⟨0 -3 -70]]

POTE generator: ~[-34 23 -1⟩ = 165.907

Badness: 2.853049