User:TallKite/Catalog of eleven-limit rank two temperaments with Color names

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(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 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 double-odd-limit is minimized. See: 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 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
Name Color Name Commas Pergen Mapping Co Err Bad
Yo & Ruyo & Loru 10/9, 15/14, 22/21 (P8, P5) 1 0 -1 -2 -3
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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, W5P5/12) 1 8 5 -2 4
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
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
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
0 3 -6 5 -7
5.898 1.62 25.987
Semisept 1331/1323 176/175 540/539 1 12 6 12 20
0 -17 -6 -15 -27
5.969 1.373 22.476
Newspeak 1728/1715 225/224 441/440 1 0 3 1 -4
0 7 -3 8 33
6.006 1.901 31.438
Hemififths 896/891 243/242 441/440 1 1 -5 -1 2
0 2 25 13 5
6.148 1.367 23.498
Garibaldi 2200/2187 225/224 385/384 1 0 15 25 -33
0 1 -8 -14 23
6.365 1.504 27.396
Wizard 225/224 385/384 4000/3993 2 1 5 2 8
0 6 -1 10 -3
6.421 1.003 18.539
Slender 1331/1323 225/224 385/384 1 2 2 3 4
0 -13 10 -6 -17
6.727 1.269 25.342
Compton 225/224 4375/4356 441/440 12 19 0 -22 -42
0 0 1 2 3
6.767 1.102 22.235
Hemithirds 3136/3125 385/384 441/440 1 4 2 2 7
0 -15 2 5 -22
7.040 .882 19.003
Catakleismic 225/224 385/384 4375/4374 1 0 1 -3 9
0 6 5 22 -21
7.254 .965 21.849
Harry 243/242 441/440 4000/3993 2 4 7 7 9
0 -6 -17 -10 -15
7.373 .682 15.867
Pluto 896/891 1375/1372 540/539 1 5 15 15 2
0 -7 -26 -25 3
7.524 1.24 29.844
Unidec 385/384 441/440 12005/11979 2 5 8 5 6
0 -6 -11 2 3
7.532 .642 15.479
Ennealimmic 4375/4356 243/242 441/440 9 1 1 12 -2
0 2 3 2 5
7.578 .835 20.347
Tritikleismic 385/384 441/440 4000/3993 3 0 3 10 8
0 6 5 -2 3
7.587 .792 19.333
Hemiwürschmidt 243/242 3136/3125 441/440 1 15 4 7 37
0 -16 -2 -5 -40
7.793 .825 21.069
Marvolo 225/224 441/440 4000/3993 1 2 1 1 2
0 -6 19 26 21
7.935 1.101 28.965
Bikleismic 225/224 4375/4356 243/242 2 0 2 -6 -1
0 6 5 22 15
8.191 1.057 29.319
Catalytic 225/224 441/440 4375/4374 1 0 1 -3 -10
0 6 5 22 51
8.212 1.092 30.422
Enneaportent 225/224 385/384 12005/11979 9 0 28 11 24
0 2 -1 2 1
8.286 1.076 30.426
Marvo 225/224 243/242 4000/3993 1 5 12 29 12
0 -6 -17 -46 -15
8.731 1.027 31.685
Octoid 1375/1372 540/539 4000/3993 8 1 3 3 16
0 3 4 5 3
9.170 .421 14.097
Tertia 1331/1323 385/384 1375/1372 1 3 2 3 5
0 -22 5 -3 -24
9.182 .899 30.171
Guiron 10976/10935 385/384 441/440 1 1 7 3 -2
0 3 -24 -1 28
9.377 .767 26.648
Neominor 243/242 35937/35840 441/440 1 3 12 8 7
0 -6 -41 -22 -15
9.493 .788 27.959
Grendel 1375/1372 540/539 5632/5625 1 9 2 7 17
0 -23 1 -13 -42
9.729 .537 19.845
Hemiseven 19683/19600 385/384 441/440 1 4 14 2 -5
0 -6 -29 2 21
9.733 .770 28.467
Sqrtphi 4375/4356 1375/1372 540/539 1 12 11 16 17
0 -30 -25 -38 -39
9.756 .687 25.515
Commatic 3388/3375 8019/8000 441/440 2 3 4 5 6
0 5 19 18 27
9.831 .810 30.461
Sesquart 243/242 16384/16335 441/440 1 1 7 5 2
0 4 -32 -15 10
9.891 .772 29.306
Quadritikleismic 385/384 1375/1372 9801/9800 4 0 4 7 17
0 6 5 4 -3
10.315 .575 23.406
Mirkat 8019/8000 1375/1372 540/539 3 2 1 2 9
0 6 13 14 3
10.575 .521 22.126
Bisupermajor 3388/3375 385/384 9801/9800 2 1 6 1 8
0 8 -5 17 -4
10.578 .755 32.080
Cotritone 385/384 1375/1372 4000/3993 1 17 9 10 5
0 -30 -13 -14 -3
10.735 .740 32.225
Kwai 16384/16335 1375/1372 540/539 1 0 -50 -40 32
0 1 33 27 -18
11.134 .567 26.219
Triwell 385/384 441/440 456533/455625 1 7 0 1 13
0 -21 9 7 -37
11.163 .642 29.807
Supers 5120/5103 540/539 4000/3993 2 1 -12 2 -9
0 3 23 5 22
11.476 .580 28.240
Ennealiminal 385/384 1375/1372 4375/4374 9 1 1 12 51
0 2 3 2 -3
11.678 .621 31.123
Bischismic 3136/3125 8019/8000 441/440 2 0 30 69 102
0 1 -8 -20 -30
11.743 .557 28.160
Septisuperfourth 540/539 4000/3993 5632/5625 2 4 4 7 6
0 -9 7 -15 10
12.086 .464 24.619
Amity 5120/5103 540/539 5632/5625 1 3 6 -2 21
0 -5 -13 17 -62
12.537 .559 31.506
Quincy 441/440 4000/3993 41503/41472 1 2 3 3 4
0 -30 -49 -14 -39
12.684 .537 30.875
Octowerck 441/440 8019/8000 41503/41472 8 0 -11 14 15
0 3 7 2 3
13.282 .486 30.159
Hemiamity 5120/5103 3025/3024 4375/4374 2 1 -1 13 13
0 5 13 -17 -14
13.714 .478 31.307
Eris 1375/1372 540/539 65625/65536 1 10 0 6 20
0 -29 8 -11 -57
13.875 .414 27.621
Unthirds 2401/2400, 3025/3024, 4000/3993 1 29 33 25 25
0 -42 -47 -34 -33
14.390 .323 22.926
Alphaquarter 5120/5103 4000/3993 3025/3024 1 2 2 0 3
0 -9 7 61 10
14.588 .408 29.638
Hemiennealimmal 2401/2400 3025/3024 4375/4374 18 0 -1 22 48
0 2 3 2 1
14.648 .0860 6.283
Vishnu 3025/3024 4375/4374 5632/5625 2 4 5 10 10
0 -7 -3 -37 -26
14.963 .187 14.180
Quanharuk 1375/1372 540/539 32805/32768 1 0 15 12 -7
0 5 -40 -29 33
15.170 .407 31.549
Sternscape 540/539 4000/3993 137781/137500 6 3 2 6 11
0 6 11 10 9
15.352 .406 32.096
Pogo 540/539 4000/3993 32805/32768 2 1 22 2 25
0 3 -24 5 -25
15.953 .378 31.857

Junk temperaments

Some of these contain the trivial commas 1-edo, Yobi, Rubi and Loquad, which set some prime to some number of octaves, and in effect remove the prime from the subgroup. These trivial commas can be omitted from the temperament name if desired.

A fourth comma is included in the comma list if it has the same or smaller odd limit, and roughly the same or smaller size in cents. This comma isn't used in the temperament name, and is in parentheses.

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
0 1 2 1 -1
.645 82.949 33.250