The temperaments listed are 17edo-distinct, meaning that they are all different even if tuned in 17edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 17c val (<17 27 40 48 59 63|) was chosen as the representative for each class of edo-distinctness.
5-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 17, 7
|
<<1 4 4]]
|
Meantone
|
1.231
|
81/80
|
| 17, 5
|
<<2 -9 -19]]
|
Beatles
|
3.798
|
524288/492075
|
| 17, 8
|
<<3 -5 -15]]
|
Progress
|
2.877
|
32768/30375
|
| 17, 6
|
<<4 -1 -11]]
|
Smate
|
2.272
|
2048/1875
|
| 17, 2
|
<<5 3 -7]]
|
Progression
|
2.254
|
3456/3125
|
| 17, 4
|
<<6 7 -3]]
|
Subklei
|
2.833
|
17496/15625
|
| 17, 1
|
<<7 11 1]]
|
Slurpee
|
3.743
|
177147/156250
|
| 17, 3
|
<<9 2 -18]]
|
Genocchi
|
4.355
|
2359296/1953125
|
7-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 17, 7
|
<<1 4 -2 4 -6 -16]]
|
Dominant
|
1.466
|
36/35 64/63
|
| 17, 5
|
<<2 8 13 8 15 8]]
|
Mohamaq
|
2.958
|
81/80 392/375
|
| 17, 8
|
<<3 -5 -6 -15 -18 0]]
|
Progress
|
2.762
|
64/63 392/375
|
| 17, 6
|
<<4 -1 9 -11 3 24]]
|
Smate
|
2.575
|
36/35 2048/1875
|
| 17, 2
|
<<5 3 7 -7 -3 8]]
|
Progression
|
1.976
|
36/35 392/375
|
| 17, 4
|
<<6 7 5 -3 -9 -8]]
|
Subklei
|
2.340
|
36/35 1029/1000
|
| 17, 1
|
<<7 11 3 1 -15 -24]]
|
Slurpee
|
3.369
|
36/35 51200/50421
|
| 17, 3
|
<<8 -2 1 -22 -21 8]]
|
Hemismate
|
3.783
|
256/245 392/375
|
11-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 17, 7
|
<<1 4 -2 -6 4 -6 -13 -16 -28 -10]]
|
Dominant
|
1.864
|
36/35 56/55 64/63
|
| 17, 5
|
<<2 8 -4 5 8 -12 1 -32 -16 28]]
|
Maqamic
|
2.569
|
36/35 64/63 121/120
|
| 17, 8
|
<<3 -5 -6 -1 -15 -18 -12 0 15 18]]
|
Progress
|
2.399
|
56/55 64/63 77/75
|
| 17, 6
|
<<4 -1 9 10 -11 3 2 24 27 -3]]
|
Smate
|
2.443
|
36/35 56/55 243/242
|
| 17, 2
|
<<5 3 7 4 -7 -3 -11 8 -1 -13]]
|
Progression
|
1.749
|
36/35 56/55 77/75
|
| 17, 4
|
<<6 7 5 15 -3 -9 3 -8 11 25]]
|
Subklei
|
2.459
|
36/35 77/75 352/343
|
| 17, 1
|
<<7 11 3 9 1 -15 -10 -24 -17 15]]
|
Slurpee
|
2.916
|
36/35 121/120 352/343
|
| 17, 3
|
<<8 -2 1 3 -22 -21 -23 8 14 5]]
|
Hemismate
|
3.279
|
56/55 77/75 256/245
|
13-limit temperaments[edit]
| Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Commas
|
| 17, 7
|
<<1 4 -2 11 8 4 -6 14 9 -16 12 4 38 30 -13]]
|
Domination
|
2.061
|
26/25 36/35 64/63 66/65
|
| 17, 5
|
<<2 8 -4 5 -1 8 -12 1 -9 -32 -16 -32 28 12 -22]]
|
Maqamic
|
2.402
|
36/35 64/63 66/65 121/120
|
| 17, 8
|
<<3 -5 -6 -1 -10 -15 -18 -12 -27 0 15 -5 18 -6 -31]]
|
Progressive
|
2.485
|
26/25 56/55 64/63 77/75
|
| 17, 6
|
<<4 -1 9 10 -2 -11 3 2 -18 24 27 -1 -3 -39 -44]]
|
Smate
|
2.520
|
26/25 36/35 56/55 243/242
|
| 17, 2
|
<<5 3 7 4 6 -7 -3 -11 -9 8 -1 3 -13 -9 6]]
|
Progression
|
1.563
|
26/25 36/35 56/55 66/65
|
| 17, 4
|
<<6 7 5 15 14 -3 -9 3 0 -8 11 7 25 21 -7]]
|
Subklei
|
2.307
|
26/25 36/35 66/65 352/343
|
| 17, 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
|
| 17, 3
|
<<8 -2 1 3 -4 -22 -21 -23 -36 8 14 -2 5 -15 -25]]
|
Hemismate
|
3.187
|
26/25 56/55 77/75 256/245
|