List of edo-distinct 19et rank two temperaments

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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