The temperaments listed are 12edo-distinct, meaning that they are all different even if tuned in 12edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 12f val (⟨12 19 28 34 42 45]) was chosen as the representative for each class of edo-distinctness.
5-limit temperaments
| #
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 1
|
⟨⟨ 1 4 4 ]]
|
Meantone
|
1.231
|
81/80
|
| 2
|
⟨⟨ 2 -4 -11 ]]
|
Srutal
|
2.121
|
2048/2025
|
| 3
|
⟨⟨ 3 0 -7 ]]
|
Augmented
|
1.549
|
128/125
|
| 4
|
⟨⟨ 4 4 -3 ]]
|
Diminished
|
1.826
|
648/625
|
| 5
|
⟨⟨ 5 8 1 ]]
|
Ripple
|
2.702
|
6561/6250
|
| 6
|
⟨⟨ 6 12 5 ]]
|
Wronecki
|
3.781
|
531441/500000
|
7-limit temperaments
| #
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 1
|
⟨⟨ 1 4 -2 4 -6 -16 ]]
|
Dominant
|
1.466
|
36/35 64/63
|
| 2
|
⟨⟨ 2 -4 -4 -11 -12 2 ]]
|
Pajara
|
1.953
|
50/49 64/63
|
| 3
|
⟨⟨ 3 0 6 -7 1 14 ]]
|
August
|
1.655
|
36/35 128/125
|
| 4
|
⟨⟨ 4 4 4 -3 -5 -2 ]]
|
Diminished
|
1.494
|
36/35 50/49
|
| 5
|
⟨⟨ 5 8 2 1 -11 -18 ]]
|
Ripple
|
2.454
|
36/35 2560/2401
|
| 6
|
⟨⟨ 6 0 0 -14 -17 0 ]]
|
Hexe
|
2.689
|
50/49 128/125
|
11-limit temperaments
| #
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 1
|
⟨⟨ 1 4 -2 6 4 -6 6 -16 0 24 ]]
|
Domineering
|
1.523
|
36/35 45/44 64/63
|
| 2
|
⟨⟨ 2 -4 -4 0 -11 -12 -7 2 14 14 ]]
|
Pajaric
|
1.722
|
45/44 50/49 56/55
|
| 3
|
⟨⟨ 3 0 6 6 -7 1 -1 14 14 -4 ]]
|
August
|
1.506
|
36/35 45/44 56/55
|
| 4
|
⟨⟨ 4 4 4 0 -3 -5 -14 -2 -14 -14 ]]
|
Diminished
|
1.582
|
36/35 50/49 56/55
|
| 5
|
⟨⟨ 5 8 2 6 1 -11 -8 -18 -14 10 ]]
|
Ripple
|
2.130
|
36/35 80/77 126/121
|
| 6
|
⟨⟨ 6 0 0 0 -14 -17 -21 0 0 0 ]]
|
Hexe
|
2.410
|
50/49 56/55 125/121
|
13-limit temperaments
| #
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 1
|
⟨⟨ 1 4 -2 6 3 4 -6 6 1 -16 0 -8 24 16 -12 ]]
|
Dominatrix
|
1.367
|
27/26 36/35 45/44 64/63
|
| 2
|
⟨⟨ 2 -4 -4 0 -6 -11 -12 -7 -17 2 14 1 14 -2 -21 ]]
|
Pajaric
|
1.701
|
40/39 45/44 50/49 56/55
|
| 3
|
⟨⟨ 3 0 6 6 9 -7 1 -1 3 14 14 21 -4 3 9 ]]
|
August
|
1.536
|
27/26 36/35 45/44 56/55
|
| 4
|
⟨⟨ 4 4 4 0 0 -3 -5 -14 -15 -2 -14 -15 -14 -15 0 ]]
|
Diminished
|
1.564
|
36/35 40/39 50/49 66/65
|
| 5
|
⟨⟨ 5 8 2 6 3 1 -11 -8 -14 -18 -14 -23 10 1 -12 ]]
|
Ripple
|
1.996
|
36/35 40/39 66/65 147/143
|
| 6
|
⟨⟨ 6 0 0 0 6 -14 -17 -21 -13 0 0 14 0 17 21 ]]
|
Hexe
|
2.216
|
50/49 56/55 66/65 105/104
|