The temperaments listed are 19edo-distinct, meaning that they are all different even if tuned in 19edo. 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
|
| 19, 8
|
<<1 4 4]]
|
Meantone
|
1.231
|
81/80
|
| 19, 4
|
<<2 -11 -22]]
|
Hogzilla
|
4.464
|
4428675/4194304
|
| 19, 9
|
<<3 -7 -18]]
|
Stump
|
3.493
|
273375/262144
|
| 19, 2
|
<<4 -3 -14]]
|
Negri
|
2.739
|
16875/16384
|
| 19, 6
|
<<5 1 -10]]
|
Magic
|
2.417
|
3125/3072
|
| 19, 5
|
<<6 5 -6]]
|
Hanson
|
2.685
|
15625/15552
|
| 19, 7
|
<<7 9 -2]]
|
Sensi
|
3.407
|
78732/78125
|
| 19, 1
|
<<8 13 2]]
|
Unicorn
|
4.363
|
1594323/1562500
|
| 19, 3
|
<<9 -2 -24]]
|
Unsmate
|
5.017
|
17578125/16777216
|
7-limit temperaments
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 19, 8
|
<<1 4 10 4 13 12]]
|
Meantone
|
2.205
|
81/80 126/125
|
| 19, 4
|
<<2 8 1 8 -4 -20]]
|
Godzilla
|
2.181
|
49/48 81/80
|
| 19, 9
|
<<3 12 11 12 9 -8]]
|
Liese
|
3.211
|
81/80 686/675
|
| 19, 2
|
<<4 -3 2 -14 -8 13]]
|
Negri
|
2.245
|
49/48 225/224
|
| 19, 6
|
<<5 1 12 -10 5 25]]
|
Magic
|
2.937
|
225/224 245/243
|
| 19, 5
|
<<6 5 3 -6 -12 -7]]
|
Keemun
|
2.280
|
49/48 126/125
|
| 19, 7
|
<<7 9 13 -2 1 5]]
|
Sensi
|
3.080
|
126/125 245/243
|
| 19, 1
|
<<8 13 4 2 -16 -27]]
|
Rhinoceros
|
3.857
|
49/48 4375/4374
|
| 19, 3
|
<<10 2 5 -20 -20 6]]
|
Spell
|
3.965
|
49/48 3125/3072
|
11-limit temperaments
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 19, 8
|
<<1 4 10 6 4 13 6 12 0 -18]]
|
Meanenneadecal
|
1.918
|
45/44 56/55 81/80
|
| 19, 4
|
<<2 8 1 12 8 -4 12 -20 0 30]]
|
Godzilla
|
2.343
|
45/44 49/48 81/80
|
| 19, 9
|
<<3 -7 -8 -1 -18 -21 -12 1 22 25]]
|
Triton
|
2.933
|
45/44 56/55 1029/1000
|
| 19, 2
|
<<4 -3 2 5 -14 -8 -6 13 22 7]]
|
Negri
|
2.038
|
45/44 49/48 56/55
|
| 19, 6
|
<<5 1 12 11 -10 5 0 25 22 -11]]
|
Charisma
|
2.658
|
45/44 56/55 245/243
|
| 19, 5
|
<<6 5 3 -2 -6 -12 -24 -7 -22 -16]]
|
Keemun
|
2.468
|
49/48 56/55 100/99
|
| 19, 7
|
<<7 9 13 4 -2 1 -18 5 -22 -34]]
|
Sensis
|
2.980
|
56/55 100/99 245/243
|
| 19, 1
|
<<8 13 4 10 2 -16 -12 -27 -22 14]]
|
Rhinoceros
|
3.346
|
49/48 100/99 126/121
|
| 19, 3
|
<<10 2 5 3 -20 -20 -30 6 0 -9]]
|
Spell
|
3.548
|
49/48 56/55 125/121
|
13-limit temperaments
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 19, 8
|
<<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]]
|
Meanenneadecal
|
2.251
|
45/44 56/55 78/77 81/80
|
| 19, 4
|
<<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]]
|
Godzilla
|
2.219
|
45/44 49/48 78/77 81/80
|
| 19, 9
|
<<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]]
|
Lisa
|
2.947
|
45/44 81/80 91/88 147/143
|
| 19, 2
|
<<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]]
|
Negri
|
1.824
|
45/44 49/48 56/55 78/77
|
| 19, 6
|
<<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]]
|
Glamour
|
2.770
|
45/44 56/55 91/88 507/500
|
| 19, 5
|
<<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]]
|
Qeema
|
2.633
|
45/44 49/48 78/77 126/125
|
| 19, 7
|
<<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]]
|
Sensis
|
2.664
|
56/55 78/77 91/90 100/99
|
| 19, 1
|
<<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]]
|
Rhinoceros
|
3.093
|
49/48 78/77 100/99 126/121
|
| 19, 3
|
<<10 2 5 3 -2 -20 -20 -30 -40 6 0 -12 -9 -24 -18]]
|
Spell
|
3.483
|
49/48 56/55 78/77 125/121
|