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 patent val was chosen as the representative for each class of edo-distinctness.
7-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 17 7
|
⟨⟨ 1 -8 -2 -15 -6 18 ]]
|
Schism
|
2.544
|
64/63 360/343
|
| 17 5
|
⟨⟨ 2 1 -4 -3 -12 -12 ]]
|
Dichotic
|
1.588
|
25/24 64/63
|
| 17 8
|
⟨⟨ 3 10 11 9 9 -3 ]]
|
|
2.822
|
200/189 375/343
|
| 17 6
|
⟨⟨ 4 2 9 -6 3 15 ]]
|
Sidi
|
2.074
|
25/24 245/243
|
| 17 2
|
⟨⟨ 5 11 7 6 -3 -15 ]]
|
|
2.799
|
200/189 245/243
|
| 17 4
|
⟨⟨ 6 3 5 -9 -9 3 ]]
|
|
2.216
|
25/24 360/343
|
| 17 1
|
⟨⟨ 7 12 3 3 -15 -27 ]]
|
|
3.572
|
200/189 1728/1715
|
| 17 3
|
⟨⟨ 8 4 1 -12 -21 -9 ]]
|
|
3.250
|
25/24 2560/2401
|
11-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 17 7
|
⟨⟨ 1 -8 -2 -6 -15 -6 -13 18 14 -10 ]]
|
|
2.271
|
45/44 64/63 99/98
|
| 17 5
|
⟨⟨ 2 1 -4 5 -3 -12 1 -12 8 28 ]]
|
Dichotic
|
1.630
|
25/24 45/44 64/63
|
| 17 8
|
⟨⟨ 3 -7 -6 -1 -18 -18 -12 6 22 18 ]]
|
|
2.724
|
45/44 64/63 375/343
|
| 17 6
|
⟨⟨ 4 2 9 10 -6 3 2 15 16 -3 ]]
|
Sidi
|
1.958
|
25/24 45/44 99/98
|
| 17 2
|
⟨⟨ 5 11 7 4 6 -3 -11 -15 -29 -13 ]]
|
|
2.592
|
55/54 80/77 99/98
|
| 17 4
|
⟨⟨ 6 3 5 -2 -9 -9 -24 3 -15 -23 ]]
|
|
2.409
|
25/24 80/77 99/98
|
| 17 1
|
⟨⟨ 7 12 3 9 3 -15 -10 -27 -21 15 ]]
|
|
3.096
|
55/54 80/77 245/242
|
| 17 3
|
⟨⟨ 8 4 1 3 -12 -21 -23 -9 -7 5 ]]
|
|
2.877
|
25/24 80/77 245/242
|
13-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 17 7
|
⟨⟨ 1 -8 -2 -6 -9 -15 -6 -13 -18 18 14 9 -10 -18 -9 ]]
|
|
2.183
|
40/39 45/44 78/77 99/98
|
| 17 5
|
⟨⟨ 2 1 -4 5 -1 -3 -12 1 -9 -12 8 -6 28 12 -22 ]]
|
|
1.500
|
25/24 40/39 45/44 65/63 8
|
| 17 8
|
⟨⟨ 3 10 11 16 7 9 9 15 0 -3 2 -21 7 -21 -35 ]]
|
|
2.560
|
40/39 45/44 65/63 99/98
|
| 17 6
|
⟨⟨ 4 2 9 10 15 -6 3 2 9 15 16 27 -3 9 15 ]]
|
|
2.147
|
25/24 45/44 65/63 99/98
|
| 17 2
|
⟨⟨ 5 11 7 4 6 6 -3 -11 -9 -15 -29 -27 -13 -9 6 ]]
|
|
2.353
|
40/39 55/54 65/63 99/98
|
| 17 4
|
⟨⟨ 6 3 5 15 14 -9 -9 3 0 3 24 21 25 21 -7 ]]
|
|
2.433
|
25/24 45/44 65/63 352/343
|
| 17 1
|
⟨⟨ 7 12 3 9 5 3 -15 -10 -18 -27 -21 -33 15 3 -16 ]]
|
|
2.869
|
40/39 55/54 65/63 245/242
|
| 17 3
|
⟨⟨ 8 4 1 3 13 -12 -21 -23 -9 -9 -7 15 5 33 34 ]]
|
|
2.801
|
25/24 65/63 80/77 364/363
|