Miscellaneous 5-limit temperaments: Difference between revisions

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[[Badness]]: 0.200600
[[Badness]]: 0.200600
== Mabila ==
{{see also| Marvel temperaments #Amavil }}
Subgroup: 2.3.5
[[Comma list]]: 268435456/263671875
[[Mapping]]: [{{Val| 1 6 1 }}, {{Val| 0 -10 3 }}]
[[POTE generator]]: ~512/375 = 529.685
{{Val list|legend=1| 9, 25, 34, 77, 111, 145, 256c }}
[[Badness]]: 0.232481


== Undim ==
== Undim ==
Line 88: Line 103:


[[Badness]]: 0.341757
[[Badness]]: 0.341757
== Majvam ==
: ''See also: [[Subgroup temperaments #Majvam]], [[Cataharry temperaments #Majvamoid]], and [[Parkleiness temperaments #Majvamic]]''
Subgroup: 2.3.5
[[Comma]]: 2404631929946112/2384185791015625
[[Mapping]]: [{{Val| 1 10 5 }}, {{Val| 0 -22 -7 }}]
[[POTE generator]]: ~125/96 = 458.995
{{Val list|legend=1| 34, 115, 149, 183, 217, 400, 617 }}
[[Badness]]: 0.356948


== Hemififths ==
== Hemififths ==
Line 223: Line 253:


[[Badness]]: 0.466493
[[Badness]]: 0.466493
== Leapday ==
: ''See also: [[Hemifamity temperaments #Leapday]] and [[Porwell temperaments #Polypyth]]''
Subgroup: 2.3.5
[[Comma list]]: 10737418240/10460353203
[[Mapping]]: [{{val| 1 0 -31 }}, {{val| 0 1 21 }}]
[[POTE generator]]: ~3/2 = 704.179
{{Val list|legend=1| 29, 46, 121, 167, 455bc, 622bbc }}
[[Badness]]: 0.523182


== Misneb ==
== Misneb ==
Line 358: Line 403:


[[Badness]]: 0.842835
[[Badness]]: 0.842835
== Vinegar ==
Subgroup: 2.3.5
[[Comma]]: 16000000/14348907
[[Mapping]]: [{{Val| 3 0 -5 }}, {{Val| 0 2 5 }}]
[[POTE generator]]: ~10/9 = 156.861
{{Val list|legend=1| 15, 39c, 54, 69b, 84b }}
[[Badness]]: 0.903002


== Oolong ==
== Oolong ==
Line 374: Line 432:
[[Badness]]: 0.942789
[[Badness]]: 0.942789


== Diesic ==
== Mystery ==
{{see also| Orwellismic temperaments #Diesic }}
: ''See also: [[Mystery]] and [[Hemifamity temperaments #Mystery]]''


Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 10460353203/9765625000
[[Comma list]]: {{monzo| 46 -29 }}
 
[[Mapping]]: [{{Val| 1 2 3 }}, {{Val| 0 -13 -21 }}]
 
[[POTE generator]]: ~6561/6250 = 38.571
 
{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}


[[Badness]]: 1.344681
[[Mapping]]: [{{val| 29 46 0 }}, {{val| 0 0 1 }}]


== Vinegar ==
Mapping generators: ~531441/524288, ~5
Subgroup: 2.3.5


[[Comma]]: 16000000/14348907
[[POTE generator]]: ~5/4 = 387.408


[[Mapping]]: [{{Val| 3 0 -5 }}, {{Val| 0 2 5 }}]
{{Val list|legend=1| 29, 58, 87, 232, 319 }}
 
[[POTE generator]]: ~10/9 = 156.861


{{Val list|legend=1| 15, 39c, 54, 69b, 84b }}
[[Badness]]: 1.020556
 
[[Badness]]: 0.903002


== Oncle ==
== Oncle ==
Line 416: Line 463:


[[Badness]]: 1.244699
[[Badness]]: 1.244699
== Diesic ==
{{see also| Orwellismic temperaments #Diesic }}
Subgroup: 2.3.5
[[Comma list]]: 10460353203/9765625000
[[Mapping]]: [{{Val| 1 2 3 }}, {{Val| 0 -13 -21 }}]
[[POTE generator]]: ~6561/6250 = 38.571
{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}
[[Badness]]: 1.344681


== Genocchi ==
== Genocchi ==

Revision as of 10:59, 16 October 2021

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

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

Template:Val list

Badness: 0.200600

Mabila

See also: Marvel temperaments § Amavil

Subgroup: 2.3.5

Comma list: 268435456/263671875

Mapping: [⟨1 6 1], ⟨0 -10 3]]

POTE generator: ~512/375 = 529.685

Template:Val list

Badness: 0.232481

Undim

See also: Hemifamity temperaments § Undim

Subgroup: 2.3.5

Comma: 2199023255552/2179240250625

Mapping: [⟨4 6 11], ⟨0 1 -5]]

POTE generator: ~3/2 = 702.605

Template:Val list

Badness: 0.241703

Mynic

See also: Starling temperaments § Myna

Subgroup: 2.3.5

Comma list: 10077696/9765625

Mapping: [⟨1 9 9], ⟨0 -10 -9]]

POTE generator: ~6/5 = 310.140

Template:Val list

Badness: 0.249965

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

Template:Val list

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

Template:Val list

Badness: 0.307073

Wronecki

Subgroup: 2.3.5

Comma: 531441/500000

Mapping: [⟨6 0 -5], ⟨0 1 2]]

POTE generator: ~3/2 = 695.040

Template:Val list

Badness: 0.341757

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

Template:Val list

Badness: 0.356948

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

Template:Val list

Badness: 0.372848

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

Template:Val list

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

Template:Val list

Badness: 0.386367

Scales (Scala files): wizard22

Quindromeda

See also: Hemimean clan #Quintagar and Hemifamity temperaments #Quintakwai

Subgroup: 2.3.5

Comma: 72057594037927936/71489976421753125

POTE generator: ~4428675/4194304 = 99.526

Mapping: [⟨1 2 0], ⟨0 -5 28]]

Template:Val list

Badness: 0.399849

Hogzilla

Subgroup: 2.3.5

Comma: 4428675/4194304

Mapping: [⟨1 0 11], ⟨0 2 -11]]

POTE generator: ~1215/1024 = 252.649

Template:Val list

Badness: 0.424685

Quintaleap

See also: Marvel temperaments #Quintapole, Octagar temperaments #Quintupole, and Hemifamity temperaments #Quinticosiennic

Subgroup: 2.3.5

Comma: 137438953472/134521003125

Mapping: [⟨1 2 1], ⟨0 -5 16]]

POTE generator: ~135/128 = 99.267

Template:Val list

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

Template:Val list

Badness: 0.453848

Unsmate

Subgroup: 2.3.5

Comma: 17578125/16777216

Mapping: [⟨1 3 2], ⟨0 -9 2]]

POTE generator: ~2048/1875 = 189.049

Template:Val list

Badness: 0.460168

Nusecond

See also: Starling temperaments § Nusecond

Subgroup: 2.3.5

Comma list: 51018336/48828125

Mapping: [⟨1 3 4], ⟨0 -11 -13]]

POTE generator: ~3125/2916 = 154.523

Template:Val list

Badness: 0.466493

Leapday

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

Subgroup: 2.3.5

Comma list: 10737418240/10460353203

Mapping: [⟨1 0 -31], ⟨0 1 21]]

POTE generator: ~3/2 = 704.179

Template:Val list

Badness: 0.523182

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

Template:Val list

Badness: 0.609540

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

Template:Val list

Badness: 0.636715

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

Template:Val list

Badness: 0.670947

Sentinel

See also: Orwellismic temperaments § Sentinel

Subgroup: 2.3.5

Comma list: 8968066875/8589934592

Mapping: [⟨1 3 -3], ⟨0 -4 15]]

POTE generator: ~512/405 = 425.474

Template:Val list

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

Template:Val list

Badness: 0.727539

Kumonga

See also: Starling temperaments § Kumonga

Subgroup: 2.3.5

Comma list: 1289945088/1220703125

Mapping: [⟨1 4 4], ⟨0 -13 -9]]

POTE generator: ~144/125 = 222.912

Template:Val list

Badness: 0.729609

Quasitemp

See also: Keemic temperaments § Quasitemp

Subgroup: 2.3.5

Comma list: 6103515625/5804752896

Mapping: [⟨1 5 5], ⟨0 -14 -11]]

POTE generator: ~3125/2592 = 292.702

Template:Val list

Badness: 0.767824

Cypress

See also: Starling temperaments § Cypress

Subgroup: 2.3.5

Comma list: 258280326/244140625

Mapping: [⟨1 7 10], ⟨0 -12 -17]]

POTE generator: ~4374/3125 = 541.726

Template:Val list

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

Template:Val list

Badness: 0.842835

Vinegar

Subgroup: 2.3.5

Comma: 16000000/14348907

Mapping: [⟨3 0 -5], ⟨0 2 5]]

POTE generator: ~10/9 = 156.861

Template:Val list

Badness: 0.903002

Oolong

See also: Starling temperaments § Oolong

Subgroup: 2.3.5

Comma list: 793437161472/762939453125

Mapping: [⟨1 6 7], ⟨0 -17 -18]]

POTE generator: ~6/5 = 311.694

Template:Val list

Badness: 0.942789

Mystery

See also: Mystery and Hemifamity temperaments #Mystery

Subgroup: 2.3.5

Comma list: [46 -29⟩

Mapping: [⟨29 46 0], ⟨0 0 1]]

Mapping generators: ~531441/524288, ~5

POTE generator: ~5/4 = 387.408

Template:Val list

Badness: 1.020556

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

Template:Val list

Badness: 1.244699

Diesic

See also: Orwellismic temperaments § Diesic

Subgroup: 2.3.5

Comma list: 10460353203/9765625000

Mapping: [⟨1 2 3], ⟨0 -13 -21]]

POTE generator: ~6561/6250 = 38.571

Template:Val list

Badness: 1.344681

Genocchi

Subgroup: 2.3.5

Comma: 2359296/1953125

Mapping: [⟨1 0 2], ⟨0 9 2]]

POTE generator: ~768/625 = 212.444

Template:Val list

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

Template:Val list

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

Template:Val list

Badness: 1.434855

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

Template:Val list

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

Template:Val list

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

Template:Val list

Badness: 2.241568

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