Miscellaneous 5-limit temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,016 edits
No edit summary
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,016 edits
No edit summary
Line 36: Line 36:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 268435456/263671875
[[Comma]]: 268435456/263671875


[[Mapping]]: [{{Val| 1 6 1 }}, {{Val| 0 -10 3 }}]
[[Mapping]]: [{{Val| 1 6 1 }}, {{Val| 0 -10 3 }}]
Line 81: Line 81:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 10077696/9765625
[[Comma]]: 10077696/9765625


[[Mapping]]: [{{Val| 1 9 9 }}, {{Val| 0 -10 -9 }}]
[[Mapping]]: [{{Val| 1 9 9 }}, {{Val| 0 -10 -9 }}]
Line 135: Line 135:


[[Badness]]: 0.307073
[[Badness]]: 0.307073
== Counterhanson ==
{{See also| Ragismic microtemperaments #Counterkleismic }}
Subgroup: 2.3.5
[[Comma]]: {{Monzo| -20 -24 25 }} = 298023223876953125/296148833645101056
[[Mapping]]: [{{Val| 1 -5 -4 }}, {{Val| 0 25 24 }}]
[[POTE generator]]: ~6/5 = 316.081
{{Val list|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}
[[Badness]]: 0.317551
== Sevond ==
{{See also| Keemic temperaments #Sevond }}
Subgroup: 2.3.5
[[Comma]]: 5000000/4782969
[[Mapping]]: [{{Val| 7 0 -6 }}, {{Val| 0 1 2 }}]
[[POTE generator]]: ~3/2 = 706.288
{{Val list|legend=1| 7, 42, 49, 56, 119 }}
[[Badness]]: 0.339335


== Absurdity ==
== Absurdity ==
Line 220: Line 250:
[[POTE generator]]: ~5/4 = 391.225
[[POTE generator]]: ~5/4 = 391.225


{{Val list|legend=1| 46, 181c, 227c, 273c, 319c }}
{{Val list|legend=1| 3, 40, 43, 46, 181c, 227c, 273c, 319c }}


[[Badness]]: 0.360162
[[Badness]]: 0.360162
Line 238: Line 268:


[[Badness]]: 0.372848
[[Badness]]: 0.372848
== Countermeantone ==
Subgroup: 2.3.5
[[Comma]]: {{Monzo| 10 23 -20 }} = 96402615118848/95367431640625
[[Mapping]]: [{{Val| 1 10 12 }}, {{Val| 0 -20 -23 }}]
[[POTE generator]]: ~104976/78125 = 504.913
{{Val list|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }}
[[Badness]]: 0.373477


== Tritonic ==
== Tritonic ==
Line 403: Line 446:


[[Badness]]: 0.523182
[[Badness]]: 0.523182
== Septendecic ==
Subgroup: 2.3.5
[[Comma]]: {{monzo| 27 -17 }} = 134217728/129140163
[[Mapping]]: [{{Val| 17 27 0 }}, {{Val| 0 0 1 }}]
Mapping generators: ~531441/524288, ~5
[[POTE generator]]: ~5/4 = 389.193
{{Val list|legend=1| 17c, 34 }}
[[Badness]]: 0.541384


== Vines ==
== Vines ==
Line 424: Line 482:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: {{monzo| -50 -8 27 }}
[[Comma]]: {{monzo| -50 -8 27 }}


[[Mapping]]: [{{Val| 1 14 6 }}, {{Val| 0 -27 -8 }}]
[[Mapping]]: [{{Val| 1 14 6 }}, {{Val| 0 -27 -8 }}]
Line 478: Line 536:


[[Badness]]: 0.636715
[[Badness]]: 0.636715
== Mowgli ==
{{see also| Hemimean clan #Mowglic }}
Subgroup: 2.3.5
[[Comma]]: {{Monzo| 0 22 -15 }} = 31381059609/30517578125
[[Mapping]]: [{{Val| 1 0 0 }}, {{Val| 0 15 22 }}]
[[POTE generator]]: ~27/25 = 126.724
{{Val list|legend=1| 19, 85c, 104c, 123, 142, 161 }}
[[Badness]]: 0.653871


== Septimin ==
== Septimin ==
Line 514: Line 587:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 8968066875/8589934592
[[Comma]]: 8968066875/8589934592


[[Mapping]]: [{{Val| 1 3 -3 }}, {{Val| 0 -4 15 }}]
[[Mapping]]: [{{Val| 1 3 -3 }}, {{Val| 0 -4 15 }}]
Line 544: Line 617:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 1289945088/1220703125
[[Comma]]: 1289945088/1220703125


[[Mapping]]: [{{Val| 1 4 4 }}, {{Val| 0 -13 -9 }}]
[[Mapping]]: [{{Val| 1 4 4 }}, {{Val| 0 -13 -9 }}]
Line 559: Line 632:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 6103515625/5804752896
[[Comma]]: 6103515625/5804752896


[[Mapping]]: [{{Val| 1 5 5 }}, {{Val| 0 -14 -11 }}]
[[Mapping]]: [{{Val| 1 5 5 }}, {{Val| 0 -14 -11 }}]
Line 574: Line 647:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 258280326/244140625
[[Comma]]: 258280326/244140625


[[Mapping]]: [{{Val| 1 7 10 }}, {{Val| 0 -12 -17 }}]
[[Mapping]]: [{{Val| 1 7 10 }}, {{Val| 0 -12 -17 }}]
Line 632: Line 705:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 793437161472/762939453125
[[Comma]]: 793437161472/762939453125


[[Mapping]]: [{{Val| 1 6 7 }}, {{Val| 0 -17 -18 }}]
[[Mapping]]: [{{Val| 1 6 7 }}, {{Val| 0 -17 -18 }}]
Line 647: Line 720:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: {{monzo| 46 -29 }}
[[Comma]]: {{monzo| 46 -29 }}


[[Mapping]]: [{{val| 29 46 0 }}, {{val| 0 0 1 }}]
[[Mapping]]: [{{val| 29 46 0 }}, {{val| 0 0 1 }}]
Line 658: Line 731:


[[Badness]]: 1.020556
[[Badness]]: 1.020556
== Cotoneum ==
{{See also| Hemimage temperaments #Cotoneum }}
[[Comma]]: {{Monzo| 80 -49 -1 }}
[[Mapping]]: [{{Val| 1 2 -18 }}, {{Val| 0 -1 49 }}]
[[POTE generator]]: ~3/2 = 702.315
{{Val list|legend=1| 41, 135c, 176, 217, 475, 1167, 1642, 2117b }}
[[Badness]]: 1.240078


== Oncle ==
== Oncle ==
Line 679: Line 765:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 10460353203/9765625000
[[Comma]]: 10460353203/9765625000


[[Mapping]]: [{{Val| 1 2 3 }}, {{Val| 0 -13 -21 }}]
[[Mapping]]: [{{Val| 1 2 3 }}, {{Val| 0 -13 -21 }}]
Line 746: Line 832:


[[Badness]]: 1.434855
[[Badness]]: 1.434855
== Newt ==
{{See also| Breedsmic temperaments #Newt }}
[[Comma]]: {{Monzo| 95 -57 -2 }}
[[Mapping]]: [{{Val| 1 1 19 }}, {{Val| 0 2 -57 }}]
[[POTE generator]]: ~{{Monzo|47 -28 -1}} = 351.114
{{Val list|legend=1| 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc }}
[[Badness]]: 1.528465


== Quasimoha ==
== Quasimoha ==
Line 797: Line 896:
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: {{monzo| 104 -70 3 }}
[[Comma]]: {{Monzo| 104 -70 3 }}


[[Mapping]]: [{{val| 1 2 12 }}, {{val| 0 -3 -70 }}]
[[Mapping]]: [{{val| 1 2 12 }}, {{val| 0 -3 -70 }}]

Revision as of 11:52, 14 December 2021

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

Template:Val list

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

Template:Val list

Badness: 0.200600

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

Badness: 0.249965

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

Template:Val list

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

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

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

Template:Val list

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

Template:Val list

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

Template:Val list

Badness: 0.341202

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

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

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: Quindromeda family

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

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

Template:Val list

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

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: 51018336/48828125

Mapping: [⟨1 3 4], ⟨0 -11 -13]]

POTE generator: ~3125/2916 = 154.523

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

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

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: 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: 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: 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

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

Template:Val list

Badness: 0.852612

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: 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: [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

Cotoneum

See also: Hemimage temperaments § Cotoneum

Comma: [80 -49 -1⟩

Mapping: [⟨1 2 -18], ⟨0 -1 49]]

POTE generator: ~3/2 = 702.315

Template:Val list

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

Template:Val list

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

Template:Val list

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

Template:Val list

Badness: 1.381216

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

Newt

See also: Breedsmic temperaments § Newt

Comma: [95 -57 -2⟩

Mapping: [⟨1 1 19], ⟨0 2 -57]]

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

Template:Val list

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

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

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

Template:Val list

Badness: 2.853049

Retrieved from "https://en.xen.wiki/index.php?title=Miscellaneous_5-limit_temperaments&oldid=81906"