The temperaments listed are 16edo-distinct, meaning that they are all different even if tuned in 16edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.
5-limit temperaments
| Period generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 16 7
|
<<1 -3 -7]]
|
Mavila
|
1.377
|
135/128
|
| 8 1
|
<<2 10 11]]
|
|
3.113
|
59049/51200
|
| 16 3
|
<<3 7 4]]
|
Laconic
|
2.149
|
2187/2000
|
| 4 1
|
<<4 4 -3]]
|
Diminished
|
1.826
|
648/625
|
| 16 5
|
<<5 1 -10]]
|
Magic
|
2.417
|
3125/3072
|
| 8 3
|
<<6 -2 -17]]
|
|
3.484
|
140625/131072
|
| 16 1
|
<<7 11 1]]
|
|
3.743
|
177147/156250
|
| 2 1
|
<<8 -8 -31]]
|
|
6.008
|
2562890625/2147483648
|
7-limit temperaments
| Period generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 16 7
|
<<1 -3 5 -7 5 20]]
|
Armodue
|
1.804
|
36/35 135/128
|
| 8 1
|
<<2 -6 -6 -14 -15 3]]
|
Bipelog
|
2.546
|
50/49 135/128
|
| 16 3
|
<<3 7 -1 4 -10 -22]]
|
Gorgo
|
2.252
|
36/35 1029/1024
|
| 4 1
|
<<4 4 4 -3 -5 -2]]
|
Diminished
|
1.494
|
36/35 50/49
|
| 16 5
|
<<5 1 9 -10 0 18]]
|
|
2.430
|
36/35 1875/1792
|
| 8 3
|
<<6 -2 -2 -17 -20 1]]
|
Lemba
|
3.086
|
50/49 525/512
|
| 16 1
|
<<7 11 3 1 -15 -24]]
|
|
3.369
|
36/35 51200/50421
|
| 2 1
|
<<8 8 -8 -6 -35 -41]]
|
|
4.993
|
648/625 1323/1280
|
11-limit temperaments
| Period generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 16 7
|
<<1 -3 5 -1 -7 5 -5 20 8 -20]]
|
Armodue
|
1.603
|
33/32 36/35 45/44
|
| 8 1
|
<<2 -6 -6 -2 -14 -15 -10 3 16 15]]
|
Bipelog
|
2.211
|
33/32 45/44 50/49
|
| 16 3
|
<<3 7 -1 -3 4 -10 -15 -22 -31 -5]]
|
|
2.320
|
33/32 36/35 352/343
|
| 4 1
|
<<4 4 4 12 -3 -5 5 -2 14 20]]
|
Demolished
|
1.831
|
36/35 45/44 50/49
|
| 16 5
|
<<5 1 9 11 -10 0 0 18 22 0]]
|
|
2.303
|
36/35 45/44 363/343
|
| 8 3
|
<<6 -2 -2 -6 -17 -20 -30 1 -7 -10]]
|
|
3.032
|
50/49 176/175 363/343
|
| 16 1
|
<<7 11 3 9 1 -15 -10 -24 -17 15]]
|
Slurpee
|
2.916
|
36/35 121/120 352/343
|
| 2 1
|
<<8 8 8 8 -6 -10 -15 -4 -9 -5]]
|
|
2.606
|
36/35 50/49 363/343
|
13-limit temperaments
| Period generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 16 7
|
<<1 -3 5 -1 3 -7 5 -5 1 20 8 18 -20 -10 14]]
|
Armodue
|
1.481
|
27/26 33/32 36/35 45/44
|
| 8 1
|
<<2 -6 -6 -2 -10 -14 -15 -10 -23 3 16 -1 15 -6 -27]]
|
|
2.256
|
33/32 45/44 50/49 78/77
|
| 16 3
|
<<3 7 -1 -3 9 4 -10 -15 3 -22 -31 -5 -5 29 42]]
|
|
2.293
|
27/26 36/35 143/140 275/273
|
| 4 1
|
<<4 4 4 12 12 -3 -5 5 4 -2 14 13 20 19 -3]]
|
|
1.829
|
27/26 36/35 45/44 50/49
|
| 16 5
|
<<5 1 9 11 15 -10 0 0 5 18 22 31 0 9 11]]
|
|
2.376
|
27/26 36/35 78/77 605/588
|
| 8 3
|
<<6 -2 -2 -6 2 -17 -20 -30 -19 1 -7 12 -10 13 29]]
|
|
2.725
|
33/32 50/49 66/65 105/104
|
| 16 1
|
<<7 11 3 9 5 1 -15 -10 -18 -24 -17 -29 15 3 -16]]
|
Slurpee
|
2.700
|
36/35 66/65 143/140 352/343
|
| 2 1
|
<<8 8 8 8 8 -6 -10 -15 -17 -4 -9 -11 -5 -7 -2]]
|
|
2.354
|
36/35 50/49 66/65 143/140
|