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Catalog of rank two temperaments: Difference between revisions

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{| class="wikitable sortable"
|-
! | Name
! | [[Color notation/Temperament Names|Color Name]]
! | Commas
! | Pergen
! | Mapping
! | Co
! | Err
! | Bad
|-
| |
|Yo & Ruyo & Loru
| | 10/9, 15/14, 22/21
|(P8, P5)
| | 1 0 -1 -2 -3<br>0 1 2 3 4
| | .655
| | 54.775
| | 22.549
|-
| |
|3-edo & Yo & Logu + za
| | 32/27, 10/9 (16/15), 11/10
|(P8/3, ^1)
| | 3 5 7 0 10<br>0 0 0 1 0
| | .680
| | 74.627
| | 32.666
|-
| |
|Gubi & Rubi & Luyoyobi
| | 16/15, 8/7 (15/14), 25/22
|(P8, P5)
| | 1 0 4 3 7<br>0 1 -1 0 -2
| | .692
| | 73.354
| | 33.117
|-
| |
|2-edo & Yoyo & Ruyo + ela
'''(4-edo & Ruyo + ela?)'''
| | 9/8, 25/24, 15/14
|(P8/4, ^1)
| | 4 6 9 11 0<br>0 0 0 0 1
| | .712
| | 47.618
| | 22.540
|-
| |
|2-edo & Ruyo & Luyoyobi
| | 9/8, 15/14 (21/20), 25/22
|(P8/2, ^1)
| | 2 3 0 1 -2<br>0 0 1 1 2
| | .718
| | 57.400
| | 27.551
|-
| |
|Yoyo & Ruyo & Lu
| | 25/24, 15/14, 12/11
|(P8, P5/2)
| | 1 1 2 2 3<br>0 2 1 3 2
| | .718
| | 46.851
| | 22.488
|-
| |
|Gubi & Zogu & Logu
| | 16/15, 21/20, 11/10
|(P8, P5)
| | 1 0 4 6 5<br>0 1 -1 -2 -1
| | .727
| | 44.826
| | 21.957
|-
| |
|3-edo & Yo & Loru
| | 32/27, 10/9 (16/15), 22/21
|(P8/3, ^1)
| | 3 5 7 0 2<br>0 0 0 1 1
| | .771
| | 47.381
| | 25.592
|-
| |
|Gubi & Zogu & Lu
| | 16/15, 21/20, 12/11
|(P8, P5)
| | 1 0 4 6 2<br>0 1 -1 -2 1
| | .776
| | 45.662
| | 24.928
|-
| |
|Gugu & Zogu & Logu
| | 27/25, 21/20, 11/10 (22/21)
|(P8, P4/2)
| | 1 0 0 2 1<br>0 2 3 1 3
| | .796
| | 38.983
| | 22.203
|-
| |
|Gugu & Zogu & Lu
| | 27/25, 21/20, 12/11
|(P8, P4/2)
| | 1 0 0 2 2<br>0 2 3 1 2
| | .807
| | 41.497
| | 24.184
|-
| |
|Gubi & Zo & Lu
| | 16/15, 28/27, 12/11
|(P8, P5)
| | 1 0 4 -2 2<br>0 1 -1 3 1
| | .832
| | 38.874
| | 23.823
|-
| |
|Yoyo & Zogu & Logu
| | 25/24, 21/20, 11/10 (22/21)
|(P8, P5/2)
| | 1 1 2 3 3<br>0 2 1 -1 1
| | .833
| | 47.271
| | 29.071
|-
| | Dicot
|Yoyo & Ruyo & Loru
| | 25/24, 15/14, 22/21
|(P8, P5/2)
| | 1 1 2 2 2<br>0 2 1 3 5
| | .854
| | 30.986
| | 19.854
|-
| |
|Gu & Zo & Logu
| | 16/15, 28/27, 11/10
|(P8, P5)
| | 1 0 4 -2 5<br>0 1 -1 3 -1
| | .905
| | 43.667
| | 30.795
|-
| |
|5-edo & Gubi & Zogu + ela
| | 256/243, 16/15, 21/20 (28/27)
|(P8/5, ^1)
| | 5 8 12 14 0<br>0 0 0 0 1
| | .923
| | 33.964
| | 24.785
|-
| |
|Yoyobi & Ruyo & Loru
| | 75/64, 15/14 (35/32), 22/21
|(P8, P4/2)
| | 1 0 3 2 1<br>0 2 -1 1 3
| | .931
| | 43.645
| | 32.259
|-
| |
|Gubi & Zogu & Luzoyo
| | 16/15, 21/20, 35/33
|(P8, P5)
| | 1 0 4 6 10<br>0 1 -1 -2 -4
| | .979
| | 40.847
| | 32.831
|-
| |
|Gubi & Zo & Loru
| | 16/15, 28/27, 22/21
|(P8, P5)
| | 1 0 4 -2 -3<br>0 1 -1 3 4
| | .986
| | 25.28
| | 20.589
|-
| |
|Yoyo & Zogu & Lo
| | 25/24, 21/20, 33/32
|(P8, P4/2)
| | 1 1 2 3 4<br>0 2 1 -1 -2
| | 1.016
| | 29.191
| | 24.988
|-
| |
|Layobi & Ruyo & Loru
| | 135/128, 15/14, 22/21 (33/32)
|(P8, P5)
| | 1 0 7 6 5<br>0 1 -3 -2 -1
| | 1.023
| | 30.999
| | 26.828
|-
| |
|Gu & Zogu & Luzoyo
| | 81/80, 21/20 (28/27), 35/33
|(P8, P5)
| | 1 0 -4 -2 -6<br>0 1 4 3 6
| | 1.042
| | 27.464
| | 24.506
|-
| |
|Yoyo & Ruyo & Lo
| | 25/24, 15/14, 33/32
|(P8, P5/2)
| | 1 1 2 2 4<br>0 2 1 3 -2
| | 1.067
| | 29.219
| | 27.114
|-
| |
|Yoyo & Zogu & Luyo
| | 25/24, 21/20, 45/44
|(P8, P5/2)
| | 1 1 2 3 2<br>0 2 1 -1 5
| | 1.087
| | 26.805
| | 25.660
|-
| | Meanertone
|Gu & Zogu & Lo
| | 81/80, 21/20 (28/27), 33/32
|(P8, P5)
| | 1 0 -4 -2 5<br>0 1 4 3 -1
| | 1.138
| | 24.359
| | 25.167
|-
| | Pento
|Gugu & Zogu & Luyo
| | 27/25, 21/20 [36/35], 45/44
|(P8, P4/2)
| | 1 0 0 2 -2<br>0 2 3 1 7
| | 1.138
| | 22.068
| | 22.799
|-
| | Pentoid
|Gugu & Zogu & Lo
| | 27/25, 21/20, 33/32
|(P8, P4/2)
| | 1 0 0 2 5<br>0 2 3 1 -2
| | 1.142
| | 21.771
| | 22.649
|-
| | Meansept
|Gu & Ruyo & Loru
| | 81/80, 15/14, 22/21 (45/44 55/49)
|(P8, P5)
| | 1 0 -4 -5 -6<br>0 1 4 5 6
| | 1.148
| | 30.989
| | 32.521
|-
| | Sharp
|Yoyo & Zo & Luzoyo
| | 25/24, 28/27, 35/33 (45/44)
|(P8, P5/2)
| | 1 1 2 1 2<br>0 2 1 6 5
| | 1.196
| | 19.922
| | 22.366
|-
| |
|Gubi & Biruyo & Loru
| | 16/15, 50/49, 22/21
|(P8/2, P5)
| | 2 0 8 9 7<br>0 1 -1 -1 0
| | 1.208
| | 25.57
| | 29.193
|-
| |
|Layobi & Zogu & Lo
| | 135/128, 21/20, 33/32 (45/44)
|(P8, P5)
| | 1 0 7 9 5<br>0 1 -3 -4 -1
| | 1.226
| | 19.454
| | 22.753
|-
| |
|Gubi & Zo & Luruyo
| | 16/15, 28/27 [36/35], 80/77 (77/75)
|(P8, P5)
| | 1 0 4 -2 10<br>0 1 -1 3 -4
| | 1.258
| | 23.058
| | 28.153
|-
| | Hystrix
|Triyo & Rugu & Loru
| | 250/243, 36/35, 22/21 [55/54] (80/77)
|(P8, P4/3)
| | 1 2 3 3 4<br>0 -3 -5 -1 -4
| | 1.335
| | 19.86
| | 26.790
|-
| | Arnold
|Gu & Rugu & Loru
| | 81/80, 36/35 (64/63), 22/21 (33/32)
|(P8, P5)
| | 1 0 -4 6 5<br>0 1 4 -2 -1
| | 1.340
| | 19.265
| | 26.141
|-
| |
|5-edo (& Zo & Loru) + ya
| | 256/243, 28/27, 22/21 (33/32)
|(P8/5, ^1)
| | 5 8 0 14 17<br>0 0 1 0 0
| | 1.358
| | 22.998
| | 31.934
|-
| |
|Quadgu & Rugu & Loru
| | 648/625, 36/35 (50/49), 22/21
|(P8/4, P5)
| | 4 0 3 5 1<br>0 1 1 1 2
| | 1.415
| | 18.282
| | 27.164
|-
| |
|Yoyo & Ru & Loru
| | 25/24, 64/63, 22/21 (33/32)
|(P8, P5/2)
| | 1 1 2 4 4<br>0 2 1 -4 -2
| | 1.431
| | 20.956
| | 31.719
|-
| | Ferrum
|5-edo & Zo & Luzoyo
| | 256/243, 28/27 (49/48), 35/33
|(P8/5, ^1)
| | 5 8 0 14 6<br>0 0 1 0 1
| | 1.443
| | 20.107
| | 30.883
|-
| | Decibel
|Yoyo & Zozo & Luzoyo
| | 25/24, 49/48, 35/33
|(P8/2, P4/2)
| | 2 0 3 4 7<br>0 2 1 1 0
| | 1.461
| | 20.67
| | 32.385
|-
| |
|Sayoyo & Zo & Loru
'''(Zo & Biruyo & Loru?)'''
| | 800/729, 28/27 (50/49), 22/21 '''(sayoyo is too obscure?)'''
|(P8/2, P5)
| | 2 0 -5 -4 -6<br>0 1 3 3 4
| | 1.495
| | 19.317
| | 31.468
|-
| |
|Yoyo & Zo & Lo
| | 25/24, 28/27, 33/32
|(P8, P5/2)
| | 1 1 2 1 4<br>0 2 1 6 -2
| | 1.500
| | 19.693
| | 32.239
|-
| | August
|Trigu & Rugu & Luyo
| | 128/125, 36/35, 45/44 (56/55)
|(P8/3, P5)
| | 3 0 7 -1 1<br>0 1 0 2 2
| | 1.506
| | 12.245
| | 20.191
|-
| | Domineering
|Gu & Rugu & Luyo
| | 81/80, 36/35 (64/63), 45/44
|(P8, P5)
| | 1 0 -4 6 -6<br>0 1 4 -2 6
| | 1.523
| | 13.075
| | 21.978
|-
| | Jamesbond
|7-edo (& Gu & Lo) + za
| | [-11 7], (25/24) 81/80, 33/32 (45/44)
|(P8/7,^1)
| | 7 11 16 0 24<br>0 0 0 1 0
| | 1.564
| | 13.396
| | 23.524
|-
| | Diminished
|Quadgu & Rugu & Luzogu
| | 648/625, 36/35 (50/49), 56/55
|(P8/4, P5)
| | 4 0 3 5 14<br>0 1 1 1 0
| | 1.582
| | 12.367
| | 22.132
|-
| | Armodue
|Layobi & Rugu & Lo
| | 135/128, 36/35, 33/32 (45/44)
|(P8, P5)
| | 1 0 7 -5 5<br>0 1 -3 5 -1
| | 1.603
| | 14.879
| | 27.211
|-
| | Dichotic
|Yoyo & Ru & Luyo
| | 25/24, 64/63, 45/44 (55/54)
|(P8, P5/2)
| | 1 1 2 4 2<br>0 2 1 -4 5
| | 1.630
| | 16.311
| | 30.680
|-
| | Opossum
|Triyo & Zo & Luzogu
| | 250/243, 28/27, 56/55 ([55/54] 77/75)
|(P8, P4/3)
| | 1 2 3 4 4<br>0 -3 -5 -9 -4
| | 1.692
| | 11.146
| | 22.325
|-
| | Octokaidecal
|Sayoyo & Zo & Luzogu
| | 800/729, 28/27 (50/49), 56/55 (55/54)
|(P8/2, P5)
| | 2 0 -5 -4 7<br>0 1 3 3 0
| | 1.698
| | 15.008
| | 30.235
|-
| | Pajaric
|Sagugu & Ru & Luyo
| | [11 -4 -2], '''(50/49)''' 64/63, 45/44 (56/55) '''(torsion)'''
|(P8/2, P5)
| | 2 0 11 12 7<br>0 1 -2 -2 0
| | 1.722
| | 11.548
| | 23.798
|-
| | Progression
|Quingubi & Rugu & Luzogu
| | [7 3 -5], 36/35, 56/55 (77/75)
|(P8, P5/5)
| | 1 1 2 2 3<br>0 5 3 7 4
| | 1.749
| | 12.314
| | 26.050
|-
| | Decimal
|Yoyo & Zozo & Luyo
| | 25/24, 49/48 (50/49), 45/44
|(P8/2, P4/2)
true double
| | 2 0 3 4 -1<br>0 2 1 1 5
| | 1.751
| | 12.599
| | 26.712
|-
| | Blacksmith
|5-edo & Zo & Loyo
| | 256/243, 28/27 (49/48 64/63), 55/54
|(P8/5, ^1)
| | 5 8 0 14 29<br>0 0 1 0 -1
| | 1.825
| | 10.85
| | 24.641
|-
| | Demolished
|Quadgu & Rugu & Luyo
| | 648/625, 36/35 (50/49), 45/44
|(P8/4, P5)
| | 4 0 3 5 -5<br>0 1 1 1 3
| | 1.831
| | 11.635
| | 26.574
|-
| | Dominant
|Gu & Rugu & Luzogu
| | 81/80, 36/35 (64/63), 56/55
|(P8, P5)
| | 1 0 -4 6 13<br>0 1 4 -2 -6
| | 1.864
| | 10.279
| | 24.180
|-
| | Decimated
|Yoyo & Zozo & Lo
| | 25/24, 49/48, 33/32
|(P8/2, P4/2)
true double
| | 2 0 3 4 10<br>0 2 1 1 -2
| | 1.886
| | 13.109
| | 31.456
|-
| | Meanenneadecal
|Gu & Zotrigu & Luyo
| | 81/80, 126/125, 45/44 (56/55)
|(P8, P5)
| | 1 0 -4 -13 -6<br>0 1 4 10 6
| | 1.918
| | 8.680
| | 21.423
|-
| | Sidi
|Yoyo & Zozoyo & Luyo
| | 25/24, 245/243, 45/44 (99/98)
|(P8, P11/4)
| | 1 3 3 6 7<br>0 -4 -2 -9 -10
| | 1.958
| | 12.902
| | 32.957
|-
| | Ferrier
|5-edo & Zo & Lozogugu
| | 256/243, 28/27 (49/48 64/63), 77/75
|(P8/5, ^1)
| | 5 8 0 14 -6<br>0 0 1 0 2
| | 1.993
| | 11.103
| | 29.200
|-
| | Superpelog
|Layobi & Zozo & Lo
| | 135/128, 49/48, 33/32 (45/44)
|(P8, P4/2)
| | 1 0 7 2 5<br>0 2 -6 1 -2
| | 2.016
| | 10.640
| | 28.535
|-
| | Negri
|Laquadyo & Ruyoyo & Luyo
| | [-14 3 4], '''(49/48)''' 225/224, 45/44 (56/55) '''(torsion)'''
|(P8, P4/4)
| | 1 2 2 3 4<br>0 -4 3 -2 -5
| | 2.038
| | 9.594
| | 26.190
|-
| | Inflated
|Trigu & Zo & Luzogu
| | 128/125, 28/27, 56/55 [55/54]
|(P8/3, P5)
| | 3 0 7 -6 -4<br>0 1 0 3 3
| | 2.102
| | 10.843
| | 31.171
|-
| | Injera
|Gu & Biruyo & Luyo
| | 81/80, 50/49, 45/44
|(P8/2, P5)
| | 2 0 -8 -7 -12<br>0 1 4 4 6
| | 2.153
| | 7.728
| | 23.124
|-
| | Negric
|Laquadyo & Ruyoyo & Lu
| | [-14 3 4], '''(49/48)''' 225/224, 33/32 (77/75) '''(torsion)'''
|(P8, P4/4)
| | 1 2 2 3 3<br>0 -4 3 -2 4
| | 2.198
| | 9.886
| | 30.617
|-
| | Triforce
|Trigu & Zozo & Luzogu
| | 128/125, 49/48, 56/55
|(P8/3, P4/2)
| | 3 0 7 6 8<br>0 2 0 1 1
| | 2.201
| | 8.427
| | 26.152
|-
| | Duodecim
|12-edo (& Gu & Rugu) + ela
| | [-19 12], 81/80, 36/35 (50/49 64/63)
|(P8/12, ^1)
| | 12 19 28 34 0<br>0 0 0 0 1
| | 2.201
| | 9.839
| | 30.536
|-
| | Meanundeci
|Gu & Zotrigu & Lo
| | 81/80, 126/125, 33/32 (55/54 77/75)
|(P8, P5)
| | 1 0 -4 -13 5<br>0 1 4 10 -1
| | 2.204
| | 10.143
| | 31.539
|-
| | Semafour
|Gu & Zozo & Lo
| | 81/80, 49/48, 33/32 (55/54)
|(P8, P4/2)
| | 1 0 -4 2 5<br>0 2 8 1 -2
| | 2.212
| | 9.111
| | 28.510
|-
| | Augene
|Trigu & Ru & Luzogu
| | 128/125, 64/63, 56/55 (100/99)
|(P8/3, P5)
| | 3 0 7 18 20<br>0 1 0 -2 -2
| | 2.286
| | 5.932
| | 19.613
|-
| | Godzilla
|Gu & Zozo & Luyo
| | 81/80, 49/48, 45/44
|(P8, P4/2)
| | 1 0 -4 2 -6<br>0 2 8 1 12
| | 2.343
| | 8.404
| | 28.947
|-
| | Darjeeling
|Tribiyo & Zotrigu & Loyo
| | [-6 -5 6], '''(49/48)''' 126/125, 55/54 (77/75) '''(torsion)'''
|(P8, P12/6)
| | 1 0 1 2 0<br>0 6 5 3 13
| | 2.347
| | 8.002
| | 27.648
|-
| | Progress
|Satrigu & Ru & Luzogu
| | [15 -5 -3], 64/63, 56/55 (77/75)
|(P8, P11/3)
| | 1 0 5 6 4<br>0 3 -5 -6 -1
| | 2.399
| | 8.662
| | 31.036
|-
| | Hedgehog
|Triyo & Biruyo & Loyo
| | 250/243, 50/49, 55/54 (99/98)
|(P8/2, P4/3)
| | 2 1 1 2 4<br>0 3 5 5 4
| | 2.439
| | 6.273
| | 23.095
|-
| | Keemun
|Tribiyo & Zozo & Luzogu
| | [-6 -5 6], '''(49/48)''' 126/125, 56/55 (100/99) '''(torsion)'''
|(P8, P12/6)
| | 1 0 1 2 4<br>0 6 5 3 -2
| | 2.468
| | 7.298
| | 27.410
|-
| | Porcupine
|Triyo & Ru & Loyo
| | 250/243, 64/63, 55/54 (100/99)
|(P8, P4/3)
| | 1 2 3 2 4<br>0 -3 -5 6 -4
| | 2.478
| | 5.703
| | 21.562
|-
| | Pajara
|Sagugu & Ru & Luyoyo
| | [11 -4 -2], '''(50/49)''' 64/63, 100/99 (99/98) '''(torsion)'''
|(P8/2, P5)
| | 2 0 11 12 26<br>0 1 -2 -2 -6
| | 2.543
| | 5.151
| | 20.343
|-
| | Nautilus
|Triyo & Zozo & Loyo
| | 250/243, 49/48, 55/54 (100/99)
|(P8, P4/6)
| | 1 2 3 3 4<br>0 -6 -10 -3 -8
| | 2.548
| | 6.568
| | 26.023
|-
| | Pajarous
|Sagugu & Ru & Loyo
| | [11 -4 -2], '''(50/49)''' 64/63, 55/54
|(P8/2, P5)
| | 2 0 11 12 -9<br>0 1 -2 -2 5
| | 2.718
| | 6.427
| | 28.349
|-
| | Telepathy
|Laquinyo & Ruyoyo & Loyo
| | [-10 -1 5], 225/224, 55/54 (99/98 176/175)
|(P8, P12/5)
| | 1 0 2 -1 -1<br>0 5 1 12 14
| | 2.864
| | 5.631
| | 27.109
|-
| | Sensis
|Sepgu & Zotrigu & Luzogu
| | [2 9 -7], 126/125 (245/243), 56/55 [100/99]
|(P8, WW5/7)
| | 1 6 8 11 6<br>0 -7 -9 -13 -4
| | 2.98
| | 5.578
| | 28.680
|-
| | Suprapyth
|Sayo & Ru & Loyo
| | [12 -9 1], 64/63, 55/54 (99/98)
|(P8, P5)
| | 1 0 -12 6 13<br>0 1 9 -2 -6
| | 3.011
| | 6.264
| | 32.768
|-
| | Porky
|Triyo & Ruyoyo & Loyo
| | 250/243, 225/224, 55/54 (100/99)
|(P8, P4/3)
| | 1 2 3 5 4<br>0 -3 -5 -16 -4
| | 3.020
| | 5.186
| | 27.268
|-
| | Meantone
|Gu & Zotrigu & Loruru
| | 81/80, 126/125, 99/98
|(P8, P5)
| | 1 0 -4 -13 -25<br>0 1 4 10 18
| | 3.031
| | 3.218
| | 17.027
|-
| | Ringo
|Sasa-gugu & Ru & Luzogu
| | [19 -9 -2], 64/63, 56/55 (243/242)
|(P8, P5/2)
| | 1 1 5 4 2<br>0 2 -9 -4 5
| | 3.126
| | 5.902
| | 32.863
|-
| | Orwell
|Lasepyo & Ruyoyo & Loruru
| | [-21 3 7], 225/224, 99/98 (121/120 176/175)
|(P8, P12/7)
| | 1 0 3 1 3<br>0 7 -3 8 2
| | 3.242
| | 2.574
| | 15.231
|-
| | Doublewide
|Quadbiyo & Zotriyo & Luyoyo
| | [-9 -6 8], '''(50/49)''' '''875/864''', 100/99 (99/98 385/384)
|(P8/2, Wm7/8)
| | 2 1 3 4 8<br>0 4 3 3 -2
| | 3.407
| | 4.988
| | 32.058
|-
| | Superpyth
|Sayo & Ru & Luyoyo
| | [12 -9 1], 64/63 (245/243), 100/99
|(P8, P5)
| | 1 0 -12 6 -22<br>0 1 9 -2 16
| | 3.410
| | 3.88
| | 24.976
|-
| | Squares
|Gu & Laquadru & Loruru
| | 81/80, [-3 9 0 -4], 99/98 (121/120)
|(P8, P11/4)
| | 1 3 8 6 7<br>0 -4 -16 -9 -10
| | 3.486
| | 3.240
| | 21.636
|-
| | Quasisupra
|Sasagu & Ru & Loruru
| | [23 -13 -1], 64/63, 99/98 (121/120)
|(P8, P5)
| | 1 0 23 6 13<br>0 1 -13 -2 -6
| | 3.49
| | 4.812
| | 32.203
|-
| | Valentine
|Satritrigu & Zotrigu & Lorugugu
| | [13 5 -9], 126/125, '''(121/120)''' 176/175
|(P8, P5/9)
| | 1 1 2 3 3<br>0 9 5 -3 7
| | 3.651
| | 2.313
| | 16.687
|-
| | Magic
|Laquinyo & Ruyoyo & Luyoyo
| | [-10 01 5], 225/224 (245/243), 100/99
|(P8, P12/5)
| | 1 0 2 -1 6<br>0 5 1 12 -8
| | 3.715
| | 2.741
| | 20.352
|-
| | Meanpop
|Gu & Zotrigu & Lozoyo
| | 81/80, 126/125, 385/384
|(P8, P5)
| | 1 0 -4 -13 24<br>0 1 4 10 -13
| | 3.820
| | 2.770
| | 21.543
|-
| | Mohajira
|Gu & Sarurutrigu & Lorugugu
| | 81/80, '''6144/6125''', '''(121/120)''' 176/175 (243/242)
|(P8, P5/2)
| | 1 1 0 6 2<br>0 2 8 -11 5
| | 3.863
| | 3.288
| | 26.064
|-
| | Cassandra
|Layo & Ruyoyo & Luyoyo
| | [-15 8 1], 225/224, 100/99 (245/242)
|(P8, P5)
| | 1 0 15 25 32<br>0 1 -8 -14 -18
| | 3.897
| | 2.929
| | 23.556
|-
| | Nusecond
|Legu & Zotrigu & Loruru
| | [5 13 -11], 126/125, 99/98 (121/120)
|(P8, P11/11)
| | 1 3 4 5 5<br>0 -11 -13 -17 -12
| | 3.927
| | 3.146
| | 25.621
|-
| | Migration
|Gu & Zotrigu & Lologu
| | 81/80, 126/125, 121/120 (243/242)
|(P8, P5/2)
| | 1 1 0 -3 2<br>0 2 8 20 5
| | 3.935
| | 3.123
| | 25.516
|-
| | Mothra
|Gu & Latrizo & Loruru
| | 81/80, 1029/1024, 99/98 (385/384)
|(P8, P5/3)
| | 1 1 0 3 5<br>0 3 12 -1 -8
| | 3.99
| | 3.066
| | 25.642
|-
| | Octacot
|Saquadyo & Zozoyo & Luyoyo
| | [5 -9 4], 245/243, 100/99 (243/242 245/242)
|(P8, P5/8)
| | 1 1 1 2 2<br>0 8 18 11 20
| | 4.070
| | 2.785
| | 24.078
|-
| | Myna
|Quinbigu & Zotrigu & Lorugugu
| | [9 9 -10], 126/125, 176/175 (243/242)
|(P8, WWP5/10)
| | 1 9 9 8 22<br>0 -10 -9 -7 -25
| | 4.127
| | 1.903
| | 16.842
|-
| | Superkleismic
|Tritriyo & Zotriyo & Luyoyo
| | [-5 -10 9], 875/864, 100/99 (245/242 385/384)
|(P8, WWP4/9)
| | 1 4 5 2 4<br>0 -9 -10 3 -2
| | 4.137
| | 2.888
| | 25.659
|-
| | Würschmidt
|Saquadbigu & Ruyoyo & Loruru
| | [17 1 -8], 225/224, 99/98 (176/175 243/242)
|(P8, WWP5/8)
| | 1 7 3 15 17<br>0 -8 -1 -18 -20
| | 4.344
| | 2.533
| | 24.413
|-
| | Miracle
|Lala-tribiyo & Ruyoyo & Lozoyo
| | [-25 7 6], 225/224, 385/384 (441/440)
|(P8, P5/6)
| | 1 1 3 3 2<br>0 6 -7 -2 15
| | 4.405
| | 1.083
| | 10.684
|-
| | Mosura
|Gu & Latrizo & Lorugugu
| | 81/80, 1029/1024, 176/175
|(P8, P5/3)
| | 1 1 0 3 -1<br>0 3 12 -1 23
| | 4.411
| | 3.170
| | 31.334
|-
| | Sensus
|Sepgu & Zotrigu & Lorugugu
| | [2 9 -7], 126/125, 176/175
|(P8, WWP5/7)
| | 1 6 8 11 23<br>0 -7 -9 -13 -31
| | 4.503
| | 2.882
| | 29.486
|-
| | Shrutar
|Sagugu & Zozoyo & Lorugugu
| | [11 -4 -2], 245/243, '''(121/120)''' 176/175
|(P8/2, M2/4)
| | 2 1 9 -2 8<br>0 2 -4 7 -1
| | 4.530
| | 2.563
| | 26.489
|-
| | Revelation
|Lala-tribiyo & Ruyoyo & Loruru
| | [-25 7 6], 225/224 (1029/1024), 99/98 [176/175]
|(P8, P5/6)
| | 1 1 3 3 5<br>0 6 -7 -2 -16
| | 4.531
| | 3.187
| | 32.946
|-
| | Tritonic
|Lala-quinyo & Ruyoyo & Luzozogu
| | [-29 11 5], 225/224, '''(121/120)''' 441/440
|(P8, WWP4/5)
| | 1 4 -3 -3 2<br>0 -5 11 12 3
| | 4.596
| | 2.234
| | 23.659
|-
| | Bunya
|Saquadyo & Ruyoyo & Luyoyo
| | [5 -9 4], 225/224, 100/99 (243/242)
|(P8, P5/4)
| | 1 1 1 -1 2<br>0 4 9 26 10
| | 4.833
| | 2.722
| | 31.332
|-
| | Diaschismic
|Sagugu & Zotrigu & Lorugugu
| | 2048/2025, 126/125, 176/175
|(P8/2, P5)
| | 2 0 11 31 45<br>0 1 -2 -8 -12
| | 5.048
| | 2.023
| | 25.034
|-
| | Septimin
|Lala-leyo & Ruyoyo & Lozoyo
| | [-35 6 11], 225/224, '''(245/242)''' 385/384
|(P8, WWP4/11)
| | 1 4 1 5 5<br>0 -11 6 -10 -7
| | 5.089
| | 2.496
| | 31.309
|-
| | Witchcraft
|Laquinyo & Ruyoyo & Luzozogu
| | [-10 -1 5], 225/224 (245/243), 441/440
|(P8, P12/5)
| | 1 0 2 -1 -7<br>0 5 1 12 33
| | 5.419
| | 2.204
| | 30.706
|-
| | Thuja
|Saquadtrigu & Zotrigu & Lorugugu
| | [20 5 -12], 126/125, 176/175 (1344/1331)
|(P8, W<sup>5</sup>P5/12)
| | 1 8 5 -2 4<br>0 -12 -5 9 -1
| | 5.622
| | 2.233
| | 33.078
|-
| | Hemiwur
|Saquadbigu & Zozoquingu & Lorugugu
| | [17 1 -8], '''(2401/2400)''' 3136/3125, '''(121/120)''' 176/175 (1375/1372)
|(P8, WWP5/16)
| | 1 15 4 7 11<br>0 -16 -2 -5 -9
| | 5.723
| | 1.918
| | 29.270
|-
| | Rodan
|Sasa-triyo & Saruyo & Lozoyo
| | [20 -17 3], '''(245/243)''' 5120/5103, 385/384 (441/440)
|(P8, P5/3)
| | 1 1 -1 3 6<br>0 3 17 -1 -13
| | 5.754
| | 1.50
| | 23.093
|-
| | Echidna
|Sagugu & Triru-agu & Lorugugu
| | 2048/2025, 1728/1715, 176/175 (540/539 896/891)
|(P8/2, P4/3)
| | 2 1 9 2 12<br>0 3 -6 5 -7
| | 5.898
| | 1.62
| | 25.987
|-
| | Semisept
|
| | 1331/1323 176/175 540/539
|
| | 1 12 6 12 20<br>0 -17 -6 -15 -27
| | 5.969
| | 1.373
| | 22.476
|-
| | Newspeak
|
| | 1728/1715 225/224 441/440
|
| | 1 0 3 1 -4<br>0 7 -3 8 33
| | 6.006
| | 1.901
| | 31.438
|-
| | Hemififths
|
| | 896/891 243/242 441/440
|
| | 1 1 -5 -1 2<br>0 2 25 13 5
| | 6.148
| | 1.367
| | 23.498
|-
| | Garibaldi
|
| | 2200/2187 225/224 385/384
|
| | 1 0 15 25 -33<br>0 1 -8 -14 23
| | 6.365
| | 1.504
| | 27.396
|-
| | Wizard
|
| | 225/224 385/384 4000/3993
|
| | 2 1 5 2 8<br>0 6 -1 10 -3
| | 6.421
| | 1.003
| | 18.539
|-
| | Slender
|
| | 1331/1323 225/224 385/384
|
| | 1 2 2 3 4<br>0 -13 10 -6 -17
| | 6.727
| | 1.269
| | 25.342
|-
| | Compton
|
| | 225/224 4375/4356 441/440
|
| | 12 19 0 -22 -42<br>0 0 1 2 3
| | 6.767
| | 1.102
| | 22.235
|-
| | Hemithirds
|
| | 3136/3125 385/384 441/440
|
| | 1 4 2 2 7<br>0 -15 2 5 -22
| | 7.040
| | .882
| | 19.003
|-
| | Catakleismic
|
| | 225/224 385/384 4375/4374
|
| | 1 0 1 -3 9<br>0 6 5 22 -21
| | 7.254
| | .965
| | 21.849
|-
| | Harry
|
| | 243/242 441/440 4000/3993
|
| | 2 4 7 7 9<br>0 -6 -17 -10 -15
| | 7.373
| | .682
| | 15.867
|-
| | Pluto
|
| | 896/891 1375/1372 540/539
|
| | 1 5 15 15 2<br>0 -7 -26 -25 3
| | 7.524
| | 1.24
| | 29.844
|-
| | Unidec
|
| | 385/384 441/440 12005/11979
|
| | 2 5 8 5 6<br>0 -6 -11 2 3
| | 7.532
| | .642
| | 15.479
|-
| | Ennealimmic
|
| | 4375/4356 243/242 441/440
|
| | 9 1 1 12 -2<br>0 2 3 2 5
| | 7.578
| | .835
| | 20.347
|-
| | Tritikleismic
|
| | 385/384 441/440 4000/3993
|
| | 3 0 3 10 8<br>0 6 5 -2 3
| | 7.587
| | .792
| | 19.333
|-
| | Hemiwürschmidt
|
| | 243/242 3136/3125 441/440
|
| | 1 15 4 7 37<br>0 -16 -2 -5 -40
| | 7.793
| | .825
| | 21.069
|-
| | Marvolo
|
| | 225/224 441/440 4000/3993
|
| | 1 2 1 1 2<br>0 -6 19 26 21
| | 7.935
| | 1.101
| | 28.965
|-
| | Bikleismic
|
| | 225/224 4375/4356 243/242
|
| | 2 0 2 -6 -1<br>0 6 5 22 15
| | 8.191
| | 1.057
| | 29.319
|-
| | Catalytic
|
| | 225/224 441/440 4375/4374
|
| | 1 0 1 -3 -10<br>0 6 5 22 51
| | 8.212
| | 1.092
| | 30.422
|-
| | Enneaportent
|
| | 225/224 385/384 12005/11979
|
| | 9 0 28 11 24<br>0 2 -1 2 1
| | 8.286
| | 1.076
| | 30.426
|-
| | Marvo
|
| | 225/224 243/242 4000/3993
|
| | 1 5 12 29 12<br>0 -6 -17 -46 -15
| | 8.731
| | 1.027
| | 31.685
|-
| | Octoid
|
| | 1375/1372 540/539 4000/3993
|
| | 8 1 3 3 16<br>0 3 4 5 3
| | 9.170
| | .421
| | 14.097
|-
| | Tertia
|
| | 1331/1323 385/384 1375/1372
|
| | 1 3 2 3 5<br>0 -22 5 -3 -24
| | 9.182
| | .899
| | 30.171
|-
| | Guiron
|
| | 10976/10935 385/384 441/440
|
| | 1 1 7 3 -2<br>0 3 -24 -1 28
| | 9.377
| | .767
| | 26.648
|-
| | Neominor
|
| | 243/242 35937/35840 441/440
|
| | 1 3 12 8 7<br>0 -6 -41 -22 -15
| | 9.493
| | .788
| | 27.959
|-
| | Grendel
|
| | 1375/1372 540/539 5632/5625
|
| | 1 9 2 7 17<br>0 -23 1 -13 -42
| | 9.729
| | .537
| | 19.845
|-
| | Hemiseven
|
| | 19683/19600 385/384 441/440
|
| | 1 4 14 2 -5<br>0 -6 -29 2 21
| | 9.733
| | .770
| | 28.467
|-
| | Sqrtphi
|
| | 4375/4356 1375/1372 540/539
|
| | 1 12 11 16 17<br>0 -30 -25 -38 -39
| | 9.756
| | .687
| | 25.515
|-
| | Commatic
|
| | 3388/3375 8019/8000 441/440
|
| | 2 3 4 5 6<br>0 5 19 18 27
| | 9.831
| | .810
| | 30.461
|-
| | Sesquart
|
| | 243/242 16384/16335 441/440
|
| | 1 1 7 5 2<br>0 4 -32 -15 10
| | 9.891
| | .772
| | 29.306
|-
| | Quadritikleismic
|
| | 385/384 1375/1372 9801/9800
|
| | 4 0 4 7 17<br>0 6 5 4 -3
| | 10.315
| | .575
| | 23.406
|-
| | Mirkat
|
| | 8019/8000 1375/1372 540/539
|
| | 3 2 1 2 9<br>0 6 13 14 3
| | 10.575
| | .521
| | 22.126
|-
| | Bisupermajor
|
| | 3388/3375 385/384 9801/9800
|
| | 2 1 6 1 8<br>0 8 -5 17 -4
| | 10.578
| | .755
| | 32.080
|-
| | Cotritone
|
| | 385/384 1375/1372 4000/3993
|
| | 1 17 9 10 5<br>0 -30 -13 -14 -3
| | 10.735
| | .740
| | 32.225
|-
| | Kwai
|
| | 16384/16335 1375/1372 540/539
|
| | 1 0 -50 -40 32<br>0 1 33 27 -18
| | 11.134
| | .567
| | 26.219
|-
| | Triwell
|
| | 385/384 441/440 456533/455625
|
| | 1 7 0 1 13<br>0 -21 9 7 -37
| | 11.163
| | .642
| | 29.807
|-
| | Supers
|
| | 5120/5103 540/539 4000/3993
|
| | 2 1 -12 2 -9<br>0 3 23 5 22
| | 11.476
| | .580
| | 28.240
|-
| | Ennealiminal
|
| | 385/384 1375/1372 4375/4374
|
| | 9 1 1 12 51<br>0 2 3 2 -3
| | 11.678
| | .621
| | 31.123
|-
| | Bischismic
|
| | 3136/3125 8019/8000 441/440
|
| | 2 0 30 69 102<br>0 1 -8 -20 -30
| | 11.743
| | .557
| | 28.160
|-
| | Septisuperfourth
|
| | 540/539 4000/3993 5632/5625
|
| | 2 4 4 7 6<br>0 -9 7 -15 10
| | 12.086
| | .464
| | 24.619
|-
| | Amity
|
| | 5120/5103 540/539 5632/5625
|
| | 1 3 6 -2 21<br>0 -5 -13 17 -62
| | 12.537
| | .559
| | 31.506
|-
| | Quincy
|
| | 441/440 4000/3993 41503/41472
|
| | 1 2 3 3 4<br>0 -30 -49 -14 -39
| | 12.684
| | .537
| | 30.875
|-
| | Octowerck
|
| | 441/440 8019/8000 41503/41472
|
| | 8 0 -11 14 15<br>0 3 7 2 3
| | 13.282
| | .486
| | 30.159
|-
| | Hemiamity
|
| | 5120/5103 3025/3024 4375/4374
|
| | 2 1 -1 13 13<br>0 5 13 -17 -14
| | 13.714
| | .478
| | 31.307
|-
| | Eris
|
| | 1375/1372 540/539 65625/65536
|
| | 1 10 0 6 20<br>0 -29 8 -11 -57
| | 13.875
| | .414
| | 27.621
|-
| | Unthirds
|
| | 2401/2400, 3025/3024, 4000/3993
|
| | 1 29 33 25 25<br>0 -42 -47 -34 -33
| | 14.390
| | .323
| | 22.926
|-
| | Alphaquarter
|
| | 5120/5103 4000/3993 3025/3024
|
| | 1 2 2 0 3<br>0 -9 7 61 10
| | 14.588
| | .408
| | 29.638
|-
| | Hemiennealimmal
|
| | 2401/2400 3025/3024 4375/4374
|
| | 18 0 -1 22 48<br>0 2 3 2 1
| | 14.648
| | .0860
| | 6.283
|-
| | Vishnu
|
| | 3025/3024 4375/4374 5632/5625
|
| | 2 4 5 10 10<br>0 -7 -3 -37 -26
| | 14.963
| | .187
| | 14.180
|-
| | Quanharuk
|
| | 1375/1372 540/539 32805/32768
|
| | 1 0 15 12 -7<br>0 5 -40 -29 33
| | 15.170
| | .407
| | 31.549
|-
| | Sternscape
|
| | 540/539 4000/3993 137781/137500
|
| | 6 3 2 6 11<br>0 6 11 10 9
| | 15.352
| | .406
| | 32.096
|-
| | Pogo
|
| | 540/539 4000/3993 32805/32768
|
| | 2 1 22 2 25<br>0 3 -24 5 -25
| | 15.953
| | .378
| | 31.857
|}
{| class="wikitable sortable"
|-
! | Color Name
! | Commas
!Pergen
!Generator
! | Mapping
! | Comp
! | Error
! | Badness
|-
|1-edo & Yobi & Rubi + ela
or ela nowa
| | 4/3, 5/4, 8/7 (7/6)
|(P8, P4)
|11/8
| | 1 2 2 3 0<br>0 0 0 0 1
| | .193
| | 327.406
| | 17.646
|-
|1-edo & Yobi & Loquad + za
or za nowa
| | 4/3, 5/4, 11/8 (11/10)
|(P8, M2)
|8/7
| | 1 2 2 0 3<br>0 0 0 1 0
| | .228
| | 385.465
| | 27.274
|-
|1-edo & Yobi & Luzotri
or Luzotri nowa
| | 4/3, 5/4, 14/11
|(P8, P4)
|7/4 = 11/8
| | 1 2 2 0 1<br>0 0 0 1 1
| | .267
| | 336.13
| | 30.988
|-
|1-edo & Rubi & Logu
or Logu nowa
| | 4/3, 8/7 (7/6), 11/10
|(P8, P4)
|5/4 = 11/8
| | 1 2 0 3 1<br>0 0 1 0 1
| | .319
| | 218.143
| | 27.130
|-
|1-edo & Zoguquad & Logu
| | 4/3, 7/5, 11/10 (14/11)
|(P8, P4)
|5/4 = 7/4 = 11/8
| | 1 2 0 0 1<br>0 0 1 1 1
| | .324
| | 253.143
| | 32.311
|-
|Gubi & Zobi & Lu
| | 6/5, 7/6, 12/11 (11/10)
|(P8, P5)
|3/2 = 5/4 = 7/4
| | 1 0 1 1 2<br>0 1 1 1 1
| | .328
| | 164.655
| | 21.432
|-
|Yobi & Zobi & Lu
| | 5/4, 7/6, 12/11
|(P8, P5)
|3/2 = 7/4 = 11/8
| | 1 0 2 1 2<br>0 1 0 1 1
| | .354
| | 167.706
| | 24.774
|-
|Yobi & Zobi & Loquad
| | 5/4, 7/6, 11/8 (11/10)
|(P8, P5)
|3/2 = 7/4
| | 1 0 2 1 3<br>0 1 0 1 0
| | .369
| | 153.296
| | 24.223
|-
|2-edo & Gutri & Rubi + ela
or 2-edo & Gutri + ela
| | 9/8, 6/5, 8/7
|(P8/2, ^1)
|11/8
| | 2 3 5 6 0<br>0 0 0 0 1
| | .375
| | 124.872
| | 20.250
|-
|Yobi & Rubi & Lu
| | 5/4, 8/7, 12/11
|(P8, P5)
|3/2 = 11/8
| | 1 0 2 3 2<br>0 1 0 0 1
| | .390
| | 188.818
| | 32.775
|-
|Gutri & Rubi & Lu
| | 6/5, 8/7, 12/11 (11/10)
|(P8, P5)
|3/2 = 5/4 = 11/8
| | 1 0 1 3 2<br>0 1 1 0 1
| | .406
| | 110.926
| | 20.608
|-
|Gutri & Rutri & Lu
| | 6/5, 9/7, 12/11 (11/10)
|(P8, P5)
|3/2 = 5/4 = 11/8
| | 1 0 1 0 2<br>0 1 1 2 1
| | .408
| | 125.430
| | 23.415
|-
|Yo & Zobi & Logu
| | 10/9, 7/6, 11/10
|(P8, P5)
|3/2 = 7/4
| | 1 0 -1 1 0<br>0 1 2 1 2
| | .452
| | 94.454
| | 20.943
|-
|2-edo & Gutri & Lu + za
| | 9/8, 6/5, 12/11 (11/10)
|(P8/2, ^1)
|8/7
| | 2 3 5 0 7<br>0 0 0 1 0
| | .455
| | 110.141
| | 24.702
|-
|Yo & Zobi & Lu
| | 10/9, 7/6, 12/11
|(P8, P5)
|3/2 = 7/4 = 11/8
| | 1 0 -1 1 2<br>0 1 2 1 1
| | .471
| | 104.885
| | 24.915
|-
|Gutri & Rutri & Loru
| | 6/5, 9/7 (15/14), 22/21
|(P8, P5)
|3/2 = 5/4
| | 1 0 1 0 -1<br>0 1 1 2 3
| | .483
| | 125.665
| | 31.158
|-
|2-edo & Gutri & Loru
| | 9/8, 6/5 (16/15), 22/21
|(P8/2, ^1)
|8/7
| | 2 3 5 0 1<br>0 0 0 1 1
| | .508
| | 117.970
| | 31.811
|-
|2-edo & Rubi & Lu + ya
| | 9/8, 8/7, 12/11
|(P8/2, ^1)
|5/4
| | 2 3 0 6 7<br>0 0 1 0 0
| | .549
| | 103.420
| | 31.715
|-
|3-edo & Yo & Zobi + ela
| | 32/27, 10/9 (16/15), 7/6
|(P8/3, ^1)
|11/8
| | 3 5 7 8 0<br>0 0 0 0 1
| | .550
| | 86.198
| | 26.496
|-
|2-edo & Ruyo & Logu
| | 9/8, 15/14, 11/10
|(P8/2, ^1)
|5/4 = 11/8
| | 2 3 0 1 2<br>0 0 1 1 1
| | .557
| | 60.511
| | 18.993
|-
|Yo & Rubi & Lu
| | 10/9, 8/7, 12/11
|(P8, P5)
|3/2 = 11/8
| | 1 0 -1 3 2<br>0 1 2 0 1
| | .567
| | 71.691
| | 23.207
|-
|Yo & Rubi & Logu
| | 10/9, 8/7, 11/10
|(P8, P5)
|3/2
| | 1 0 -1 3 0<br>0 1 2 0 2
| | .574
| | 93.134
| | 30.760
|-
|Gubi & Rubi & Lu
| | 16/15, 8/7 (15/14), 12/11
|(P8, P5)
|3/2 = 11/8
| | 1 0 4 3 2<br>0 1 -1 0 1
| | .575
| | 60.585
| | 20.049
|-
|Gubi & Rubi & Logu
| | 16/15, 8/7 (15/14), 11/10
|(P8, P5)
|3/2
| | 1 0 4 3 5<br>0 1 -1 0 -1
| | .588
| | 78.370
| | 26.952
|-
|2-edo & Ruyo & Lu
| | 9/8, 15/14, 12/11
|(P8/2, ^1)
|5/4
| | 2 3 0 1 7<br>0 0 1 1 0
| | .606
| | 60.327
| | 21.810
|-
|Yo & Ruyo & Lu
| | 10/9, 15/14, 12/11
|(P8, P5)
|3/2 = 11/8
| | 1 0 -1 -2 2<br>0 1 2 3 1
| | .622
| | 69.361
| | 26.170
|-
|Yo & Rubi & Lo
| | 10/9, 7/6 (21/20), 33/32
|(P8, P5)
|3/2 = 7/4
| | 1 0 -1 1 5<br>0 1 2 1 -1
| | .645
| | 82.949
| | 33.250
|}
3 commas
yazala
(The original version of this page is here: [[Catalog of eleven-limit rank two temperaments]].)
Below is a '''complete''' listing of all 193 11-limit rank-two temperaments with TE complexity less than 16 and TE badness less than 1/30, obtained by the method discussed [[The_wedgie|here]]. The TE error is multiplied by 1200 so that it can be thought of as cents, and the badness is multiplied by 1000. Some "Junk" temperaments of very Low complexity are listed below the main list, which is ordered by increasing complexity.
=Temperament list=
THIS LIST IS SORTABLE, so you can sort by name or by pergen, and look up a specific temperament. Rules for choosing comma sets: prime limit strictly ascends, no torsion allowed, primes excluded because of downward inheritances are not allowed in other commas, and [[Odd limit|double-odd-limit]] is minimized. See: [[Color notation/Temperament Names|Color Notation/Temperament names]].
* Color name column: alternatives or objections are '''bolded'''
* Pergen column: all double-splits are false doubles unless otherwise noted.
* Commas column: ratios are grouped by prime limit with actual commas (","), and sorted within prime-limit by [[Odd limit|double odd limit]].
* Co = Complexity = corresponds roughly to the odd limit of the commas
* Err = Error = corresponds roughly to the cents discrepancy from JI
* Bad = Badness = a combination of complexity and error
{| class="wikitable sortable"
{| class="wikitable sortable"
|-
|-
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