The temperaments listed are 15edo-distinct, meaning that they are all different even if tuned in 15edo. The ordering is by increasing complexity of 6/5. 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
|
Comma list
|
| 15, 4
|
⟨⟨ 6 5 -6 ]]
|
Hanson
|
2.685
|
15552/15625
|
| 15, 2
|
⟨⟨ 3 5 1 ]]
|
Porcupine
|
1.663
|
250/243
|
| 5, 1
|
⟨⟨ 3 0 -7 ]]
|
Augmented
|
1.549
|
128/125
|
| 15, 1
|
⟨⟨ 9 5 -13 ]]
|
Valentine
|
4.056
|
1990656/1953125
|
| 3, 1
|
⟨⟨ 0 5 8 ]]
|
Blackwood
|
1.767
|
256/243
|
| 5, 2
|
⟨⟨ 6 15 10 ]]
|
Vinegar
|
4.599
|
16000000/14348907
|
| 15, 7
|
⟨⟨ 3 -5 -15 ]]
|
Progress
|
2.877
|
32768/30375
|
7-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 15, 4
|
⟨⟨ 6 5 3 -6 -12 -7 ]]
|
Keemun
|
2.280
|
49/48 126/125
|
| 15, 2
|
⟨⟨ 3 5 9 1 6 7 ]]
|
Opossum
|
1.895
|
28/27 126/125
|
| 5, 1
|
⟨⟨ 3 0 -6 -7 -18 -14 ]]
|
Augene
|
2.336
|
64/63 126/125
|
| 15, 1
|
⟨⟨ 6 10 3 2 -12 -21 ]]
|
Nautilus
|
2.943
|
49/48 250/243
|
| 3, 1
|
⟨⟨ 0 5 0 8 0 -14 ]]
|
Blacksmith
|
1.526
|
28/27 49/48
|
| 5, 2
|
⟨⟨ 6 0 3 -14 -12 7 ]]
|
Triforce
|
2.529
|
49/48 128/125
|
| 15, 7
|
⟨⟨ 3 10 9 9 6 -7 ]]
|
Kangaroo
|
2.626
|
28/27 1029/1000
|
11-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 15, 4
|
⟨⟨ 6 5 3 13 -6 -12 0 -7 13 26 ]]
|
Darjeeling
|
2.347
|
49/48 55/54 77/75
|
| 15, 2
|
⟨⟨ 3 5 9 4 1 6 -4 7 -8 -20 ]]
|
Opossum
|
1.692
|
28/27 55/54 77/75
|
| 5, 1
|
⟨⟨ 3 0 9 9 -7 6 4 21 21 -6 ]]
|
Inflated
|
2.102
|
28/27 55/54 128/125
|
| 15, 1
|
⟨⟨ 6 10 3 8 2 -12 -8 -21 -16 12 ]]
|
Nautilus
|
2.548
|
49/48 55/54 100/99
|
| 3, 1
|
⟨⟨ 0 5 0 -5 8 0 -8 -14 -29 -14 ]]
|
Blacksmith
|
1.825
|
28/27 49/48 55/54
|
| 5, 2
|
⟨⟨ 6 0 3 3 -14 -12 -16 7 7 -2 ]]
|
Triforce
|
2.201
|
49/48 56/55 77/75
|
| 15, 7
|
⟨⟨ 3 -5 -6 -1 -15 -18 -12 0 15 18 ]]
|
Progress
|
2.399
|
56/55 64/63 77/75
|
13-limit temperaments
Period,
generator
|
Wedgie
|
Name
|
Complexity
|
Comma list
|
| 15, 4
|
⟨⟨ 6 5 3 13 14 -6 -12 0 0 -7 13 14 26 28 0 ]]
|
Darjeeling
|
2.300
|
49/48 55/54 66/65 77/75
|
| 15, 2
|
⟨⟨ 3 5 9 4 2 1 6 -4 -8 7 -8 -14 -20 -28 -8 ]]
|
Opossum
|
1.655
|
28/27 40/39 55/54 66/65
|
| 5, 1
|
⟨⟨ 3 0 -6 -6 -3 -7 -18 -20 -16 -14 -14 -7 4 14 12 ]]
|
Augene
|
2.061
|
40/39 56/55 64/63 66/65
|
| 15, 1
|
⟨⟨ 6 10 3 8 4 2 -12 -8 -16 -21 -16 -28 12 0 -16 ]]
|
Belauensis
|
2.391
|
40/39 49/48 55/54 66/65
|
| 3, 1
|
⟨⟨ 0 5 0 -5 5 8 0 -8 8 -14 -29 -7 -14 14 36 ]]
|
Blacksmith
|
1.777
|
28/27 40/39 49/48 55/54
|
| 5, 2
|
⟨⟨ 6 0 3 3 9 -14 -12 -16 -8 7 7 21 -2 14 20 ]]
|
Triforce
|
2.105
|
49/48 56/55 66/65 77/75
|
| 15, 7
|
⟨⟨ 3 10 9 14 7 9 6 12 0 -7 -2 -21 8 -14 -28 ]]
|
Kangaroo
|
2.301
|
28/27 40/39 77/75 147/143
|