List of edo-distinct 41et rank two temperaments

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The temperaments listed are 41edo-distinct, meaning that they are all different even if tuned in 41edo. 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

Number Wedgie Name Complexity Commas
1 <<1 -8 -15]] Helmholtz 3.103 32805/32768
2 <<2 25 35]] Hemififths 8.326 858993459200/847288609443
3 <<3 17 20]] Rodan 5.377 131072000/129140163
4 <<4 9 5]] Tetracot 2.783 20000/19683
5 <<5 1 -10]] Magic 2.417 3125/3072
6 <<6 -7 -25]] Ampersand 4.815 34171875/33554432
7 <<7 -15 -40]] Merman 7.733 1121008359375/1099511627776
8 <<8 -23 -55]] 10.754 36774679229296875/36028797018963968
9 <<9 10 -5]] Shibboleth 4.189 1953125/1889568
10 <<31 39 -10]] 14.967 4656612873077392578125/4149816476691431697408
11 <<11 -6 -35]] Septimin 6.959 35595703125/34359738368
12 <<29 14 -45]] 13.174 186264514923095703125/168285760985348702208
13 <<13 19 0]] Bohpier 6.689 1220703125/1162261467
14 <<14 11 -15]] Quasitemp 6.247 6103515625/5804752896
15 <<26 -3 -65]] 13.937 40233135223388671875/36893488147419103232
16 <<16 -5 -45]] Alphorn 9.239 37078857421875/35184372088832
17 <<17 28 5]] Slendi 9.351 24414062500000/22876792454961
18 <<23 21 -20]] 10.359 11920928955078125/10968475320188928
19 <<19 12 -25]] Barbad 8.496 19073486328125/17832200896512
20 <<21 -4 -55]] 11.574 38623809814453125/36028797018963968

7-limit temperaments

Number Wedgie Name Complexity Commas
1 <<1 -8 -14 -15 -25 -10]] Garibaldi 3.823 225/224 3125/3087
2 <<2 25 13 35 15 -40]] Hemififths 6.812 2401/2400 5120/5103
3 <<3 17 -1 20 -10 -50]] Rodan 5.012 245/243 1029/1024
4 <<4 9 26 5 30 35]] Bunya 5.527 225/224 15625/15309
5 <<5 1 12 -10 5 25]] Magic 2.937 225/224 245/243
6 <<6 -7 -2 -25 -20 15]] Miracle 3.991 225/224 1029/1024
7 <<7 26 25 25 20 -15]] Pluto 7.022 4000/3969 10976/10935
8 <<8 18 11 10 -5 -25]] Octacot 4.551 245/243 2401/2400
9 <<9 10 -3 -5 -30 -35]] Superkleismic 4.620 875/864 1029/1024
10 <<10 2 -17 -20 -55 -45]] Hocum 7.155 3125/3072 4000/3969
11 <<11 -6 10 -35 -15 40]] Septimin 5.874 225/224 84035/82944
12 <<12 27 37 15 25 10]] Duodecicot 8.334 3125/3087 10976/10935
13 <<13 19 23 0 0 0]] Bohpier 5.793 245/243 3125/3087
14 <<14 11 9 -15 -25 -10]] Quasitemp 5.185 875/864 2401/2400
15 <<15 3 -5 -30 -50 -20]] Trismegistus 7.030 1029/1024 3125/3072
16 <<16 -5 22 -45 -10 65]] Alphorn 8.386 225/224 5764801/5668704
17 <<17 28 8 5 -35 -60]] Slendi 8.337 4000/3969 84035/82944
18 <<18 20 35 -10 5 25]] Superthird 7.979 245/243 78125/76832
19 <<19 12 21 -25 -20 15]] Barbad 7.048 875/864 16875/16807
20 <<20 4 7 -40 -45 5]] Quadrimage 8.056 2401/2400 3125/3072

11-limit temperaments

Number Wedgie Name Complexity Commas
1 <<1 -8 -14 -18 -15 -25 -32 -10 -14 -2]] Cassandra 3.897 100/99 225/224 245/242
2 <<2 -16 13 5 -30 15 1 75 67 -31]] Salsa 6.022 243/242 245/242 385/384
3 <<3 17 -1 28 20 -10 34 -50 6 82]] Varan 5.714 100/99 245/243 2835/2816
4 <<4 9 26 10 5 30 2 35 -8 -62]] Bunya 4.833 100/99 225/224 243/242
5 <<5 1 12 -8 -10 5 -30 25 -22 -64]] Magic 3.715 100/99 225/224 245/243
6 <<6 -7 -2 15 -25 -20 3 15 59 49]] Miracle 4.405 225/224 243/242 441/440
7 <<7 -15 -16 -3 -40 -45 -29 5 45 47]] Merman 6.311 225/224 441/440 1344/1331
8 <<8 18 11 20 10 -5 4 -25 -16 18]] Octacot 4.070 100/99 243/242 245/242
9 <<9 10 -3 2 -5 -30 -28 -35 -30 16]] Superkleismic 4.137 100/99 245/242 385/384
10 <<10 2 24 25 -20 10 5 50 51 -13]] Hocus 5.497 225/224 243/242 245/242
11 <<11 -6 10 7 -35 -15 -27 40 37 -15]] Septimin 5.089 225/224 245/242 385/384
12 <<12 -14 -4 -11 -50 -40 -59 30 23 -17]] Hemimiracle 7.207 225/224 245/242 1029/1024
13 <<13 19 23 12 0 0 -26 0 -38 -46]] Bohpier 5.298 100/99 245/243 1344/1331
14 <<14 11 9 35 -15 -25 7 -10 43 67]] Quato 5.844 243/242 441/440 625/616
15 <<15 3 -5 17 -30 -50 -25 -20 29 65]] Trismegistus 6.319 385/384 441/440 625/616
16 <<16 -5 22 -1 -45 -10 -57 65 15 -79]] Alphorn 7.744 225/224 385/384 12250/11979
17 <<17 28 8 22 5 -35 -24 -60 -46 34]] Slendi 7.223 100/99 245/242 46656/46585
18 <<18 20 35 4 -10 5 -56 25 -60 -110]] Superthird 8.196 100/99 245/243 78125/76832
19 <<19 12 21 27 -25 -20 -23 15 21 3]] Barbad 6.192 245/242 540/539 625/616
20 <<20 4 7 9 -40 -45 -55 5 7 1]] Quadrimage 7.054 245/242 385/384 625/616

13-limit temperaments

Number Wedgie Name Complexity Commas
1 <<1 -8 -14 -18 -21 -15 -25 -32 -37 -10 -14 -19 -2 -7 -6]] Cassandra 3.911 100/99 105/104 196/195 245/242
2 <<2 -16 13 5 -1 -30 15 1 -9 75 67 57 -31 -51 -22]] Salsa 5.392 105/104 144/143 243/242 245/242
3 <<3 17 -1 28 19 20 -10 34 19 -50 6 -19 82 57 -38]] Varan 5.210 100/99 105/104 245/243 352/351
4 <<4 9 -15 10 -2 5 -35 2 -18 -60 -8 -38 80 50 -44]] Monkey 4.761 100/99 105/104 144/143 243/242
5 <<5 1 12 -8 18 -10 5 -30 10 25 -22 38 -64 6 92]] Magic 3.967 100/99 105/104 144/143 196/195
6 <<6 -7 -2 15 -3 -25 -20 3 -27 15 59 19 49 -1 -66]] Miraculous 4.061 105/104 144/143 196/195 275/273
7 <<7 26 25 38 17 25 20 36 1 -15 -2 -57 20 -45 -82]] Plutino 6.266 100/99 196/195 245/242 729/728
8 <<8 18 11 20 37 10 -5 4 29 -25 -16 19 18 63 54]] Octopod 4.827 100/99 105/104 243/242 245/242
9 <<9 10 -3 2 16 -5 -30 -28 -8 -35 -30 0 16 56 48]] Superkleismic 3.957 100/99 105/104 245/242 1188/1183
10 <<10 2 24 25 36 -20 10 5 20 50 51 76 -13 12 32]] Hocus 5.741 105/104 196/195 243/242 245/242
11 <<11 -6 10 7 15 -35 -15 -27 -17 40 37 57 -15 5 26]] Septimin 4.706 105/104 144/143 196/195 245/242
12 <<12 -14 -4 -11 -6 -50 -40 -59 -54 30 23 38 -17 -2 20]] Hemimiracle 6.475 105/104 196/195 245/242 512/507
13 <<13 19 23 12 14 0 0 -26 -26 0 -38 -38 -46 -46 4]] Bohpier 4.857 100/99 144/143 245/243 275/273
14 <<14 11 9 35 34 -15 -25 7 2 -10 43 38 67 62 -12]] Quato 5.669 105/104 243/242 275/273 325/324
15 <<15 3 -5 17 13 -30 -50 -25 -35 -20 29 19 65 55 -18]] Trismegistus 5.670 105/104 144/143 275/273 625/616
16 <<16 36 22 40 33 20 -10 8 -7 -50 -32 -57 36 11 -34]] Dificot 7.283 100/99 243/242 245/242 343/338
17 <<17 28 8 22 12 5 -35 -24 -44 -60 -46 -76 34 4 -40]] Slendi 6.716 100/99 144/143 245/242 343/338
18 <<18 20 35 4 32 -10 5 -56 -16 25 -60 0 -110 -40 96]] Superthird 7.416 100/99 144/143 196/195 1375/1352
19 <<19 12 21 27 11 -25 -20 -23 -53 15 21 -19 3 -47 -62]] Barbad 5.903 144/143 196/195 245/242 275/273
20 <<20 4 7 9 31 -40 -45 -55 -25 5 7 57 1 61 74]] Quadrimage 6.821 105/104 144/143 245/242 625/616