editing disabled

Below is a complete listing of all 239 13-limit rank-two temperaments with generator complexity less than 40 and TE badness less than 0.025, 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 and high error are listed below the main list, which is ordered by increasing generator complexity, with ties broken by TE complexity.

Temperament list

Name
Complexity
Error
Badness
Mapping
Commas
Dicot (extension)
1.6214
27.3134
18.9555
[<1 1 2 2 2 2], <0 2 1 3 5 6]]
15/14 22/21 25/24 52/49
Father (extension)
1.6967
21.9084
20.1335
[<1 0 4 -2 -3 7], <0 1 -1 3 4 -2]]
16/15 22/21 26/25 28/27

1.7156
27.3628
22.7796
[<1 1 2 2 2 4], <0 2 1 3 5 -1]]
15/14 22/21 25/24 40/39

1.7344
27.8260
21.2719
[<1 0 -4 -2 -6 -1], <0 1 4 3 6 3]]
14/13 21/20 27/26 45/44

1.7810
27.5776
24.7359
[<1 0 -4 -5 -6 -1], <0 1 4 5 6 3]]
15/14 22/21 27/26 40/39

1.7872
36.0627
24.9964
[<1 0 4 6 10 7], <0 1 -1 -2 -4 -2]]
14/13 16/15 26/25 35/33

1.8400
30.6716
23.4200
[<1 1 2 3 4 4], <0 2 1 -1 -2 -1]]
14/13 21/20 25/24 33/32

1.8400
26.9815
23.8284
[<1 1 2 2 4 4], <0 2 1 3 -2 -1]]
15/14 25/24 33/32 40/39

1.9230
27.4422
23.2705
[<1 0 7 6 5 10], <0 1 -3 -2 -1 -4]]
15/14 22/21 40/39 52/49

2.0118
27.4831
23.7844
[<1 0 -4 -2 5 -1], <0 1 4 3 -1 3]]
14/13 21/20 27/26 33/32
Beep (extension)
2.0235
19.3072
18.0832
[<1 0 0 2 -2 -1], <0 2 3 1 7 6]]
21/20 26/25 27/25 45/44

2.0521
22.3720
21.6827
[<1 0 4 -2 -3 -6], <0 1 -1 3 4 6]]
16/15 22/21 28/27 52/49

2.1027
19.4190
22.7850
[<1 0 0 2 5 6], <0 2 3 1 -2 -3]]
21/20 27/25 66/65 99/98

2.1372
14.5611
22.2357
[<3 0 7 -1 1 11], <0 1 0 2 2 0]]
26/25 36/35 45/44 56/55
Hystrix (extension)
2.1534
17.2113
19.8014
[<1 2 3 3 4 4], <0 -3 -5 -1 -4 -2]]
22/21 36/35 40/39 52/49

2.1534
17.4180
22.5573
[<5 8 0 14 6 7], <0 0 1 0 1 1]]
28/27 35/33 40/39 49/48
Pentoid (extension)
2.1996
18.8797
21.1593
[<1 0 0 2 5 -1], <0 2 3 1 -2 6]]
21/20 26/25 27/25 33/32
Father variant
2.2249
19.9728
21.1254
[<1 0 4 -2 10 7], <0 1 -1 3 -4 -2]]
16/15 26/25 28/27 77/75
Pelogic (extension)
2.2355
17.0065
21.5281
[<1 0 7 9 5 -1], <0 1 -3 -4 -1 3]]
21/20 27/26 33/32 65/64

2.2524
18.4570
22.2116
[<1 0 7 9 5 13], <0 1 -3 -4 -1 -6]]
21/20 26/25 33/32 45/44

2.4075
17.3437
21.8080
[<1 1 2 1 2 4], <0 2 1 6 5 -1]]
25/24 28/27 35/33 40/39

2.4120
22.2679
24.9369
[<1 0 4 11 10 7], <0 1 -1 -5 -4 -2]]
16/15 22/21 26/25 100/99

2.4321
17.9441
23.0236
[<1 1 2 1 2 1], <0 2 1 6 5 9]]
25/24 28/27 35/33 65/63
August
2.4321
11.6244
18.4482
[<3 0 7 -1 1 -3], <0 1 0 2 2 3]]
27/26 36/35 45/44 56/55
Arnold
2.4351
20.2444
23.3005
[<1 0 -4 6 5 -1], <0 1 4 -2 -1 3]]
22/21 27/26 33/32 40/39
Dominatrix
2.4468
13.7371
18.2887
[<1 0 -4 6 -6 -1], <0 1 4 -2 6 3]]
27/26 36/35 45/44 64/63
Jamesbond
2.4935
16.1224
23.0035
[<7 11 16 0 24 26], <0 0 0 1 0 0]]
25/24 27/26 33/32 45/44
Septimal
2.4935
13.2598
22.5694
[<7 11 16 0 24 6], <0 0 0 1 0 1]]
25/24 33/32 45/44 65/63
Diminished variant
2.5237
17.3415
21.6035
[<4 0 3 5 1 2], <0 1 1 1 2 2]]
22/21 26/25 36/35 50/49
Diminished variant
2.5237
15.0507
23.8852
[<4 0 3 5 14 2], <0 1 1 1 0 2]]
26/25 36/35 50/49 56/55
Diminished variant
2.5237
11.9675
19.5087
[<4 0 3 5 14 15], <0 1 1 1 0 0]]
36/35 40/39 50/49 66/65
Octokaidecal variant
2.5841
16.7342
22.5814
[<2 0 -5 -4 -6 1], <0 1 3 3 4 2]]
22/21 28/27 40/39 50/49
Octokaidecal (extension)
2.5841
13.2207
20.6424
[<2 0 -5 -4 7 1], <0 1 3 3 0 2]]
28/27 40/39 50/49 55/54

2.6867
18.7092
22.7413
[<1 1 2 4 4 4], <0 2 1 -4 -2 -1]]
22/21 25/24 33/32 40/39
Dichotic (extension)
2.8702
14.1529
21.6740
[<1 1 2 4 2 4], <0 2 1 -4 5 -1]]
25/24 40/39 45/44 65/63
Decimal (extension)
2.8906
12.3389
21.3256
[<2 0 3 4 -1 1], <0 2 1 1 5 4]]
25/24 45/44 49/48 78/77
Blacksmith variant
2.8906
11.1408
22.3247
[<5 8 0 14 -6 7], <0 0 1 0 2 1]]
28/27 40/39 49/48 66/65
Pajaric
2.9846
11.0657
20.4605
[<2 0 11 12 7 17], <0 1 -2 -2 0 -3]]
40/39 45/44 50/49 56/55
Armodue (extension)
3.0731
12.8903
19.3512
[<1 0 7 -5 5 -1], <0 1 -3 5 -1 3]]
27/26 33/32 36/35 45/44
Progression
3.1546
11.1466
18.1575
[<1 1 2 2 3 3], <0 5 3 7 4 6]]
26/25 36/35 56/55 66/65
Opossum variant
3.2059
14.1496
24.4605
[<1 2 3 4 4 5], <0 -3 -5 -9 -4 -10]]
26/25 28/27 55/54 65/63
Opossum
3.2059
10.9238
19.3894
[<1 2 3 4 4 4], <0 -3 -5 -9 -4 -2]]
28/27 40/39 55/54 66/65
12 & 12f
3.2429
11.5467
24.8352
[<12 19 28 34 42 0], <0 0 0 0 0 1]]
36/35 45/44 50/49 56/55
Diminished variant
3.4688
11.0754
22.8374
[<4 0 3 5 -5 -4], <0 1 1 1 3 3]]
27/26 36/35 45/44 50/49
Godzilla
3.4688
8.1712
22.5029
[<1 0 -4 2 -6 -5], <0 2 8 1 12 11]]
45/44 49/48 78/77 81/80
Meanundec
3.5621
12.3475
24.2428
[<1 0 -4 -13 -6 -1], <0 1 4 10 6 3]]
27/26 40/39 45/44 56/55
Blacksmith (extension)
3.5987
10.3814
20.4976
[<5 8 0 14 29 7], <0 0 1 0 -1 1]]
28/27 40/39 49/48 55/54
Triforce
3.7856
7.9575
20.2480
[<3 0 7 6 8 4], <0 2 0 1 1 3]]
49/48 56/55 66/65 77/75
Darjeeling (extension)
3.7856
7.3788
21.4453
[<1 0 1 2 0 0], <0 6 5 3 13 14]]
49/48 55/54 66/65 77/75
Negri
3.8157
8.6891
17.8329
[<1 2 2 3 4 4], <0 -4 3 -2 -5 -3]]
45/44 49/48 56/55 78/77
Negric
3.8157
8.5618
20.2047
[<1 2 2 3 3 4], <0 -4 3 -2 4 -3]]
33/32 49/48 65/64 91/90
Superpelog (extension)
3.8459
10.9415
22.4731
[<1 0 7 2 5 6], <0 2 -6 1 -2 -3]]
33/32 45/44 49/48 78/77

4.0235
8.0673
23.5937
[<1 0 -4 2 5 -5], <0 2 8 1 -2 11]]
33/32 49/48 55/54 91/90
Augene
4.0300
8.4291
20.7855
[<3 0 7 18 20 16], <0 1 0 -2 -2 -1]]
40/39 56/55 64/63 66/65
Meanenneadecal
4.0536
7.5265
21.1818
[<1 0 -4 -13 -6 -20], <0 1 4 10 6 15]]
45/44 56/55 78/77 81/80
Dominant
4.1548
9.0031
24.1076
[<1 0 -4 6 13 18], <0 1 4 -2 -6 -9]]
36/35 56/55 64/63 66/65
Porcupine variant
4.2906
7.7242
21.2764
[<1 2 3 2 4 4], <0 -3 -5 6 -4 -2]]
40/39 55/54 64/63 66/65
Hedgehog (extension)
4.3068
7.9361
21.5156
[<2 1 1 2 4 3], <0 3 5 5 4 6]]
50/49 55/54 65/63 99/98
Keemun variant
4.3637
6.3766
22.7494
[<1 0 1 2 4 0], <0 6 5 3 -2 14]]
49/48 56/55 91/90 625/624
Sensi variant
4.6307
7.4628
23.2580
[<1 6 8 11 11 10], <0 -7 -9 -13 -12 -10]]
55/54 66/65 77/75 143/140
Sensis
4.6307
5.5229
20.0172
[<1 6 8 11 6 10], <0 -7 -9 -13 -4 -10]]
56/55 78/77 91/90 100/99
Meanenneadecal variant
4.6430
8.6347
24.7630
[<1 0 -4 -13 -6 10], <0 1 4 10 6 -4]]
45/44 56/55 65/64 81/80
Pajara variant
4.7306
7.8062
22.6765
[<2 0 11 12 26 17], <0 1 -2 -2 -6 -3]]
40/39 50/49 64/63 99/98
Injera
4.8643
6.7024
21.5655
[<2 0 -8 -7 -12 -21], <0 1 4 4 6 9]]
45/44 50/49 78/77 99/98
Flattone variant
4.9286
8.2456
24.9444
[<1 0 -4 17 5 10], <0 1 4 -9 -1 -4]]
33/32 55/54 65/64 105/104
Flattone (extension)
4.9403
6.1445
22.2597
[<1 0 -4 17 -6 10], <0 1 4 -9 6 -4]]
45/44 65/64 78/77 81/80
Nautilus
5.1345
5.6901
22.2846
[<1 2 3 3 4 5], <0 -6 -10 -3 -8 -19]]
49/48 55/54 91/90 100/99
Meantone
5.2032
4.3643
18.0484
[<1 0 -4 -13 -25 -20], <0 1 4 10 18 15]]
66/65 81/80 99/98 105/104
Ringo
5.3214
5.7998
22.6194
[<1 1 5 4 2 4], <0 2 -9 -4 5 -1]]
56/55 64/63 78/77 91/90
Superpyth (extension)
5.3375
5.1055
24.6725
[<1 0 -12 6 -22 -17], <0 1 9 -2 16 13]]
64/63 78/77 91/90 100/99
Ogene
5.3801
5.4596
22.8903
[<3 0 7 18 20 -8], <0 1 0 -2 -2 4]]
56/55 64/63 91/90 100/99
Undevigintone
5.4922
4.8990
22.9331
[<19 30 44 53 0 70], <0 0 0 0 1 0]]
49/48 65/64 81/80 91/90
Negroni
5.6280
5.5412
21.5588
[<1 2 2 3 5 4], <0 -4 3 -2 -15 -3]]
49/48 55/54 65/64 91/90

5.6784
5.4793
24.1428
[<9 0 21 11 17 19], <0 1 0 1 1 1]]
56/55 78/77 91/90 128/125
Blair
5.7085
5.5776
23.0863
[<1 0 3 1 3 3], <0 7 -3 8 2 3]]
65/64 78/77 91/90 99/98
Winston
5.7085
4.3658
19.9306
[<1 0 3 1 3 1], <0 7 -3 8 2 12]]
66/65 99/98 105/104 121/120
Agene
5.9464
5.4878
23.1130
[<3 0 7 18 20 35], <0 1 0 -2 -2 -5]]
56/55 64/63 78/77 100/99
Pajara
6.1261
4.7671
22.3268
[<2 0 11 12 26 36], <0 1 -2 -2 -6 -9]]
50/49 64/63 99/98 975/968
Cassandra
6.3059
3.2191
20.7493
[<1 0 15 25 32 37], <0 1 -8 -14 -18 -21]]
100/99 105/104 196/195 245/242
Crepuscular
6.3093
4.5686
24.3679
[<2 2 3 4 6 6], <0 5 7 7 4 6]]
50/49 78/77 99/98 144/143
Negril
6.5706
5.1756
24.3832
[<1 2 2 3 2 4], <0 -4 3 -2 14 -3]]
49/48 65/64 91/90 875/858
Modus
6.7257
4.1699
23.8059
[<1 1 1 4 2 4], <0 4 9 -8 10 -2]]
64/63 78/77 100/99 144/143
Lupercalia
6.7470
4.1905
21.3278
[<1 1 2 3 3 3], <0 9 5 -3 7 11]]
66/65 105/104 121/120 126/125
Superkleismic
6.7470
3.2749
21.4777
[<1 4 5 2 4 8], <0 -9 -10 3 -2 -16]]
100/99 105/104 245/242 1188/1183
Nusecond
6.9402
4.0097
23.3231
[<1 3 4 5 5 5], <0 -11 -13 -17 -12 -10]]
66/65 99/98 121/120 126/125
Magic
7.1768
3.2665
21.5095
[<1 0 2 -1 6 -2], <0 5 1 12 -8 18]]
100/99 105/104 144/143 196/195
Miraculous
7.3507
2.7371
18.6685
[<1 1 3 3 2 4], <0 6 -7 -2 15 -3]]
105/104 144/143 196/195 275/273
Mohajira
7.3637
4.3193
23.3878
[<1 1 0 6 2 4], <0 2 8 -11 5 -1]]
66/65 105/104 121/120 512/507
Mothra
7.4806
3.6713
23.9543
[<1 1 0 3 5 1], <0 3 12 -1 -8 14]]
81/80 99/98 105/104 144/143
Würschmidt
7.4927
2.7652
23.5928
[<1 7 3 15 17 1], <0 -8 -1 -18 -20 4]]
99/98 144/143 176/175 275/273
Meanpop
7.8114
3.1263
20.8828
[<1 0 -4 -13 24 -20], <0 1 4 10 -13 15]]
81/80 105/104 144/143 196/195
Agora
7.8369
3.4913
24.5215
[<1 3 8 6 7 14], <0 -4 -16 -9 -10 -29]]
81/80 99/98 105/104 121/120
Tritonic
8.0189
2.8102
22.9934
[<1 4 -3 -3 2 -5], <0 -5 11 12 3 18]]
105/104 121/120 196/195 275/273
Dwynwen
8.0948
2.9858
23.4609
[<1 1 2 3 3 2], <0 9 5 -3 7 26]]
91/90 121/120 126/125 176/175
Bohpier
8.2021
2.7870
24.8637
[<1 0 0 0 2 2], <0 13 19 23 12 14]]
100/99 144/143 245/243 275/273
Myna
8.5778
1.9478
17.1255
[<1 9 9 8 22 0], <0 -10 -9 -7 -25 5]]
126/125 144/143 176/175 196/195
Octacot
8.8331
2.6029
23.2762
[<1 1 1 2 2 4], <0 8 18 11 20 -4]]
100/99 144/143 243/242 245/242
Sensus
8.9610
2.9616
20.7887
[<1 6 8 11 23 10], <0 -7 -9 -13 -31 -10]]
91/90 126/125 169/168 352/351
Leapday
9.0442
2.8672
24.7316
[<1 0 -31 -21 -14 -9], <0 1 21 15 11 8]]
91/90 121/120 169/168 441/440
Cataclysmic
9.2501
2.4818
22.5549
[<1 0 1 -3 -5 0], <0 6 5 22 32 14]]
99/98 169/168 176/175 275/273
Diaschismic
9.3690
1.7525
18.9259
[<2 0 11 31 45 55], <0 1 -2 -8 -12 -15]]
126/125 176/175 196/195 364/363
Septimin
9.5243
2.7176
23.1168
[<1 4 1 5 5 7], <0 -11 6 -10 -7 -15]]
105/104 144/143 196/195 245/242
Witchcraft
9.5391
2.5946
23.5472
[<1 0 2 -1 -7 -2], <0 5 1 12 33 18]]
105/104 196/195 245/243 1188/1183
Orwell
9.5510
2.3097
19.7181
[<1 0 3 1 3 8], <0 7 -3 8 2 -19]]
99/98 121/120 176/175 275/273
Bunya
9.8019
2.6925
24.8861
[<1 1 1 -1 2 4], <0 4 9 26 10 -2]]
100/99 144/143 243/242 275/273
Thuja
10.7770
1.9835
22.8384
[<1 8 5 -2 4 16], <0 -12 -5 9 -1 -23]]
126/125 144/143 176/175 364/363
Alicorn
10.7943
1.9579
23.6666
[<1 2 3 4 3 5], <0 -8 -13 -23 9 -25]]
126/125 144/143 196/195 676/675
Hemififths
11.0372
1.5814
19.0896
[<1 1 -5 -1 2 4], <0 2 25 13 5 -1]]
144/143 196/195 243/242 364/363
Valentino
11.0831
2.0505
20.6653
[<1 1 2 3 3 5], <0 9 5 -3 7 -20]]
121/120 126/125 176/175 196/195
Hendec
11.2093
1.1966
17.7067
[<2 5 8 5 6 8], <0 -6 -11 2 3 -2]]
169/168 325/324 364/363 1716/1715
Bisemidim
11.3567
1.8575
23.8769
[<2 1 2 2 5 5], <0 9 11 15 8 10]]
126/125 144/143 196/195 364/363
Infraorwell
11.3869
1.9483
23.6834
[<1 14 0 16 12 20], <0 -16 3 -17 -11 -21]]
144/143 176/175 196/195 364/363
Garibaldi
11.6354
1.4775
20.6757
[<1 0 15 25 -33 -28], <0 1 -8 -14 23 20]]
225/224 275/273 325/324 385/384
Hitchcock
11.6543
1.9118
22.4484
[<1 3 6 -2 6 2], <0 -5 -13 17 -9 6]]
121/120 169/168 176/175 325/324
Quartonic
11.8517
1.7776
23.8747
[<1 2 3 3 5 4], <0 -11 -18 -5 -41 -8]]
169/168 176/175 325/324 540/539
Buzzard
12.3421
1.1747
18.8425
[<1 0 -6 4 -12 -7], <0 4 21 -3 39 27]]
176/175 351/350 676/675 847/845
Echidna
12.4332
1.4956
23.6786
[<2 1 9 2 12 19], <0 3 -6 5 -7 -16]]
176/175 351/350 364/363 540/539
Mystery
12.4896
1.0869
18.5912
[<29 46 0 14 33 40], <0 0 1 1 1 1]]
196/195 352/351 364/363 676/675
Sruti
12.7068
1.8820
23.7911
[<2 0 11 -15 -1 9], <0 2 -4 13 5 -1]]
144/143 176/175 351/350 676/675
Compton
12.9714
1.2359
21.8524
[<12 19 0 -22 -42 -67], <0 0 1 2 3 4]]
225/224 351/350 364/363 441/440
Lizard
12.9759
1.3242
21.7807
[<2 1 5 2 8 11], <0 6 -1 10 -3 -10]]
225/224 351/350 364/363 385/384
Ennealimnic
13.0079
1.3158
20.6966
[<9 1 1 12 -2 20], <0 2 3 2 5 2]]
169/168 243/242 325/324 441/440
Marvolo
13.0470
1.3528
21.4699
[<1 2 1 1 2 3], <0 -6 19 26 21 10]]
169/168 225/224 364/363 441/440
Rodan
13.2667
1.3261
18.4483
[<1 1 -1 3 6 8], <0 3 17 -1 -13 -22]]
196/195 245/243 352/351 364/363
Manna
13.2838
1.1773
17.0122
[<1 1 3 3 2 0], <0 6 -7 -2 15 38]]
225/224 243/242 325/324 385/384
Tritikleismic
13.4940
.8133
15.6523
[<3 0 3 10 8 0], <0 6 5 -2 3 14]]
325/324 364/363 441/440 625/624
Benediction
13.5241
1.0143
15.7152
[<1 1 3 3 2 7], <0 6 -7 -2 15 -34]]
225/224 243/242 351/350 441/440
Catakleismic
13.9069
1.1908
16.8832
[<1 0 1 -3 9 0], <0 6 5 22 -21 14]]
169/168 225/224 325/324 385/384
Qilin
14.1642
1.6395
22.8419
[<1 2 3 4 6 5], <0 -8 -13 -23 -49 -25]]
126/125 176/175 196/195 2200/2197
Harry
14.6430
.7511
13.0465
[<2 4 7 7 9 11], <0 -6 -17 -10 -15 -26]]
243/242 351/350 441/440 676/675
Semimiracle
14.7014
1.3334
24.6222
[<2 2 6 6 4 7], <0 6 -7 -2 15 2]]
169/168 225/224 243/242 385/384
Catalytic
14.7423
1.3244
22.3368
[<1 0 1 -3 -10 0], <0 6 5 22 51 14]]
169/168 225/224 325/324 1716/1715
Octopus
15.1423
1.1002
21.6786
[<8 1 3 3 16 14], <0 3 4 5 3 4]]
169/168 325/324 364/363 540/539
Enneaportent
15.2328
1.3133
22.3223
[<9 0 28 11 24 19], <0 2 -1 2 1 2]]
169/168 225/224 364/363 1716/1715
Bikleismic
15.6731
1.3198
21.8142
[<2 0 2 -6 -1 0], <0 6 5 22 15 14]]
169/168 225/224 243/242 325/324
Hemithirds
15.6794
1.1293
21.7376
[<1 4 2 2 7 0], <0 -15 2 5 -22 23]]
196/195 352/351 1001/1000 1029/1024
Gizzard
15.7868
.9255
20.2519
[<2 1 5 2 8 -2], <0 6 -1 10 -3 26]]
225/224 325/324 385/384 1573/1568
Coditone
16.1784
1.1526
24.3522
[<1 6 3 13 -3 2], <0 -13 -2 -30 19 5]]
225/224 351/350 385/384 847/845
Bison
17.5050
.7645
23.5039
[<2 5 7 3 3 4], <0 -7 -9 10 15 13]]
351/350 364/363 441/440 10985/10976
Mirkat
17.8357
.6381
18.6316
[<3 2 1 2 9 1], <0 6 13 14 3 22]]
351/350 540/539 676/675 1375/1372
Subfourth
18.4588
.9671
23.7996
[<1 0 17 4 11 16], <0 4 -37 -3 -19 -31]]
352/351 364/363 540/539 676/675
Mintone
18.5191
.9414
21.8493
[<1 5 9 7 12 11], <0 -22 -43 -27 -55 -47]]
243/242 351/350 441/440 1188/1183
Hemiseven
18.5600
.8367
21.9005
[<1 4 14 2 -5 19], <0 -6 -29 2 21 -38]]
351/350 385/384 441/440 676/675
Quadritikleismic
18.6111
.6278
18.7309
[<4 0 4 7 17 0], <0 6 5 4 -3 14]]
325/324 385/384 625/624 1573/1568
Sqrtphi
18.9279
.7746
20.0402
[<1 12 11 16 17 28], <0 -30 -25 -38 -39 -70]]
325/324 364/363 625/624 1375/1372
Supers
19.8111
.7880
21.6449
[<2 1 -12 2 -9 -2], <0 3 23 5 22 13]]
352/351 540/539 729/728 1575/1573
Kwai
19.8873
.7677
24.5550
[<1 0 -50 -40 32 37], <0 1 33 27 -18 -21]]
352/351 540/539 729/728 1375/1372
Metakleismic
19.9476
.8865
24.3714
[<1 0 1 -12 -5 0], <0 6 5 56 32 14]]
325/324 352/351 364/363 625/624
Catafourth
20.2345
.6664
21.6939
[<1 13 17 13 32 9], <0 -28 -36 -25 -70 -13]]
243/242 351/350 441/440 10985/10976
Countercata
20.2925
.8135
20.1564
[<1 0 1 11 -5 0], <0 6 5 -31 32 14]]
325/324 352/351 385/384 625/624
Ketchup
20.4870
.8412
24.8236
[<2 3 4 6 7 8], <0 4 15 -9 -2 -14]]
325/324 352/351 847/845 1331/1323
Semihemi
21.5338
.5670
21.1879
[<2 0 -35 -15 -47 -37], <0 2 25 13 34 28]]
352/351 676/675 847/845 1716/1715
Grendel
21.8078
.7473
24.8390
[<1 9 2 7 17 -5], <0 -23 1 -13 -42 27]]
352/351 540/539 625/624 1375/1372
Hemiwürschmidt
22.1019
.7291
23.0740
[<1 15 4 7 37 -29], <0 -16 -2 -5 -40 39]]
243/242 351/350 441/440 3584/3575
Ekadash
22.2725
.5694
20.3814
[<2 5 8 5 6 19], <0 -6 -11 2 3 -38]]
385/384441/440 625/624 729/728
Arch
23.8240
.5728
19.5041
[<1 2 2 2 3 4], <0 -18 14 35 20 -13]]
364/363 441/440 676/675 3136/3125
Sesquart
24.3209
.6708
22.3961
[<1 1 7 5 2 -2], <0 4 -32 -15 10 39]]
243/242 364/363 441/440 105644/105625
Ennealimnic
24.3214
.7265
23.2502
[<9 1 1 12 -2 -33], <0 2 3 2 5 10]]
243/242 364/363 441/440 625/624
Subpental
24.7013
.6592
23.9401
[<1 6 8 17 -6 16], <0 -14 -18 -45 30 -39]]
351/350 540/539 676/675 3136/3125
Widefourth
24.7390
.6202
21.6356
[<1 16 8 -2 17 12], <0 -33 -13 11 -31 -19]]
385/384 441/440 625/624 847/845
Hemimist
25.1580
.5751
22.9233
[<3 0 26 56 8 23], <0 2 -8 -20 1 -5]]
352/351 676/675 847/845 3025/3024
Quincy
25.4024
.5479
23.8618
[<1 2 3 3 4 5], <0 -30 -49 -14 -39 -94]]
364/363 441/440 676/675 4375/4374
Decal
26.0158
.4227
23.9484
[<10 0 -56 -67 -108 37], <0 1 5 6 9 0]]
441/440 729/728 1001/1000 4225/4224
Hemischis
26.2491
.5658
20.8155
[<1 0 15 -17 51 14], <0 2 -16 25 -60 -13]]
351/350 540/539 676/675 40656/40625
Hemimaquila
26.6197
.5984
24.4449
[<1 28 -7 30 19 34], <0 -34 12 -35 -20 -39]]
364/363 540/539 676/675 3584/3575
Septisuperfourth
27.1080
.4537
22.8872
[<2 4 4 7 6 11], <0 -9 7 -15 10 -39]]
540/539 729/728 4000/3993 21168/21125
Pogo
27.6987
.3280
17.5141
[<2 1 22 2 25 -2], <0 3 -24 5 -25 13]]
540/539 729/728 4000/3993 10985/10976
Octoid
28.1048
.3789
15.2738
[<8 1 3 3 16 -21], <0 3 4 5 3 13]]
540/539 625/624 1375/1372 4000/3993
Hemiennealimmal
29.1857
.2310
12.5045
[<18 0 -1 22 48 -19], <0 2 3 2 1 6]]
676/675 1001/1000 1716/1715 3025/3024
Quanharuk
33.1711
.3531
21.3919
[<1 0 15 12 -7 -15], <0 5 -40 -29 33 59]]
540/539 1375/1372 4096/4095 6656/6655

33.4393
.3824
21.1266
[<1 34 17 34 53 30], <0 -53 -24 -51 -81 -43]]
540/539 625/624 1375/1372 2200/2197

33.5315
.2302
19.4943
[<1 48 5 76 107 76], <0 -52 -3 -82 -116 -81]]
676/675 1716/1715 3025/3024 4225/4224

33.6103
.3698
24.8815
[<1 11 38 37 -1 26], <0 -19 -72 -69 9 -45]]
540/539 729/728 1375/1372 2200/2197

34.4541
.3541
20.1941
[<2 1 -5 2 -2 -2], <0 9 40 15 37 39]]
540/539 729/728 1575/1573 2200/2197

34.6430
.3993
23.3876
[<2 14 6 9 -10 25], <0 -16 -2 -5 25 -26]]
676/675 1001/1000 1716/1715 3136/3125
Abigail
35.2653
.1098
8.8558
[<2 7 13 -1 1 -2], <0 -11 -24 19 17 27]]
1716/1715 2080/2079 3025/3024 4096/4095
Decoid
35.7438
.2238
13.4746
[<10 0 47 36 98 37], <0 2 -3 -1 -8 0]]
676/675 1001/1000 1716/1715 4225/4224

36.1768
.2313
16.2821
[<2 4 9 8 12 13], <0 -8 -42 -23 -49 -54]]
676/675 1001/1000 1716/1715 10648/10647

36.3331
.2325
18.6469
[<3 0 -18 -32 8 -21], <0 4 21 34 2 27]]
676/675 1001/1000 3025/3024 10985/10976

37.3448
.2265
20.4161
[<2 12 20 6 5 17], <0 -23 -40 -1 5 -25]]
1716/1715 2080/2079 2200/2197 3025/3024

37.8845
.3814
23.6158
[<1 0 15 -59 135 56], <0 1 -8 39 -83 -33]]
540/539 625/624 729/728 2200/2197

38.3738
.2790
22.4115
[<1 27 54 35 6 124], <0 -30 -61 -38 -3 -142]]
729/728 1001/1000 1716/1715 3025/3024

38.6520
.2333
15.5572
[<3 2 8 16 9 8], <0 8 -3 -22 4 9]]
676/675 1001/1000 3025/3024 4096/4095
Deca
39.1828
.1817
16.8103
[<10 4 9 2 18 37], <0 5 6 11 7 0]]
1001/1000 3025/3024 4225/4224 4375/4374

39.4548
.2872
20.8877
[<1 29 33 25 25 99], <0 -42 -47 -34 -33 -146]]
625/624 1575/1573 2080/2079 2401/2400

Junk temperaments

Name
Complexity
Error
Badness
Mapping
Commas

.2702
336.2129
17.8545
[<1 2 2 3 3 0], <0 0 0 0 0 1]]
4/3 5/3 7/6 11/6

.2891
283.7695
17.6578
[<1 2 2 3 0 4], <0 0 0 0 1 0]]
4/3 5/3 7/6 13/9

.2891
287.8202
24.1056
[<1 2 2 3 0 0], <0 0 0 0 1 1]]
4/3 5/3 7/6 13/11

.5405
108.8851
16.3368
[<2 3 5 6 7 0], <0 0 0 0 0 1]]
6/5 8/7 9/7 11/10

.5781
130.7392
21.2974
[<2 3 5 6 0 7], <0 0 0 0 1 0]]
6/5 8/7 9/7 13/10

.6309
149.7414
19.8124
[<1 0 1 1 2 2], <0 1 1 1 1 1]]
6/5 7/5 11/10 13/10

.6309
145.2377
21.5971
[<1 0 2 1 2 2], <0 1 0 1 1 1]]
5/4 7/6 12/11 13/11

.6309
135.7653
21.7806
[<1 0 2 1 3 2], <0 1 0 1 0 1]]
5/4 7/6 11/8 13/12

.6309
118.9826
21.3636
[<1 0 1 3 2 2], <0 1 1 0 1 1]]
6/5 8/7 11/10 13/10

.6309
118.2399
24.7286
[<1 0 1 3 2 1], <0 1 1 0 1 2]]
6/5 8/7 11/10 15/13

.6309
99.9329
21.2702
[<1 0 1 3 2 4], <0 1 1 0 1 0]]
6/5 8/7 11/10 14/13

.7124
120.1537
22.8145
[<1 0 1 0 2 1], <0 1 1 2 1 2]]
6/5 9/7 11/10 14/13

.7124
112.9622
24.7317
[<2 3 5 0 7 7], <0 0 0 1 0 0]]
6/5 9/8 11/10 13/10

.8107
83.1978
22.0229
[<3 5 7 8 10 0], <0 0 0 0 0 1]]
7/6 10/9 11/9 16/15

.8614
81.8009
18.7149
[<1 0 -1 1 0 2], <0 1 2 1 2 1]]
7/6 10/9 11/9 13/12

.8614
93.1286
21.7729
[<1 0 -1 1 2 2], <0 1 2 1 1 1]]
7/6 10/9 12/11 13/11

.8614
76.3571
22.8403
[<1 0 -1 3 2 2], <0 1 2 0 1 1]]
8/7 10/9 12/11 13/11

.8614
57.0733
19.3277
[<2 3 0 1 2 7], <0 0 1 1 1 0]]
9/8 11/10 13/12 15/14

.8614
61.7635
21.4961
[<2 3 0 1 7 3], <0 0 1 1 0 1]]
9/8 12/11 14/13 15/13

.8614
64.6390
22.8779
[<2 3 0 1 7 7], <0 0 1 1 0 0]]
9/8 12/11 13/11 15/14

.8672
75.4782
22.2821
[<3 5 7 8 0 11], <0 0 0 0 1 0]]
7/6 10/9 13/12 16/15

1.0616
72.2918
22.6134
[<1 0 4 3 2 2], <0 1 -1 0 1 1]]
8/7 12/11 13/11 15/14

1.0616
68.1560
21.3950
[<1 0 4 3 2 4], <0 1 -1 0 1 0]]
8/7 12/11 14/13 15/13

1.0686
48.2352
24.6210
[<3 5 7 0 2 11], <0 0 0 1 1 0]]
10/9 13/12 16/15 22/21

1.0686
46.0898
24.1511
[<3 5 7 0 2 3], <0 0 0 1 1 1]]
10/9 14/13 16/15 22/21

1.0810
54.4751
21.7669
[<4 6 9 11 14 0], <0 0 0 0 0 1]]
9/8 12/11 15/14 25/22

1.0810
53.8146
21.8059
[<2 3 0 1 2 -2], <0 0 1 1 1 2]]
9/8 11/10 15/14 26/25

1.1563
51.8815
22.1512
[<1 0 -1 -2 -3 2], <0 1 2 3 4 1]]
10/9 13/12 15/14 22/21

1.1563
55.5099
24.5510
[<4 6 9 11 0 15], <0 0 0 0 1 0]]
9/8 14/13 15/13 35/32

1.1563
41.3624
24.4943
[<4 6 9 11 0 1], <0 0 0 0 1 1]]
9/8 15/14 25/24 55/52

1.1714
53.8501
22.8620
[<1 0 4 3 2 7], <0 1 -1 0 1 -2]]
8/7 12/11 15/14 26/25

1.2619
55.5942
23.7686
[<1 1 2 2 3 3], <0 2 1 3 2 2]]
12/11 13/11 15/14 25/22

1.2619
53.0408
23.1630
[<1 1 2 2 3 3], <0 2 1 3 2 3]]
12/11 14/13 15/13 25/22

1.2920
43.2424
21.8817
[<1 0 0 2 1 2], <0 2 3 1 3 2]]
11/10 13/12 21/20 27/25

1.2920
39.0609
21.8839
[<1 0 0 2 2 3], <0 2 3 1 2 1]]
12/11 14/13 21/20 27/25

1.2920
42.8838
24.2613
[<1 0 0 2 1 3], <0 2 3 1 3 1]]
11/10 14/13 21/20 27/25

1.3433
43.8182
20.8537
[<1 0 4 6 5 7], <0 1 -1 -2 -1 -2]]
11/10 14/13 16/15 26/25

1.3433
48.6247
23.3373
[<1 0 4 6 5 2], <0 1 -1 -2 -1 1]]
11/10 13/12 16/15 21/20

1.3433
41.3652
22.5640
[<1 0 4 6 2 7], <0 1 -1 -2 1 -2]]
12/11 14/13 16/15 26/25

1.3512
38.8900
22.4912
[<5 8 12 14 17 0], <0 0 0 0 0 1]]
11/10 16/15 21/20 27/25

1.4453
33.1105
21.4624
[<5 8 12 14 0 19], <0 0 0 0 1 0]]
14/13 16/15 26/25 27/25

1.4993
37.8027
22.5820
[<1 0 4 -2 2 -1], <0 1 -1 3 1 3]]
12/11 14/13 16/15 27/26

1.6091
33.9540
24.0271
[<1 0 4 -2 2 7], <0 1 -1 3 1 -2]]
12/11 16/15 26/25 35/33

1.6181
43.6565
23.8050
[<1 1 2 3 3 3], <0 2 1 -1 1 2]]
11/10 13/12 21/20 25/24