List of 19et rank two temperaments by complexity

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Below are listed rank-two temperaments supported by the 19edo patent val, below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.1.

Rank Wedgie Name Complexity Commas
1 <<1 4 4]] Meantone 1.231 81/80
2 <<5 1 -10]] Magic 2.417 3125/3072
3 <<6 5 -6]] Hanson 2.685 15625/15552
4 <<4 -3 -14]] Negri 2.739 16875/16384
5 <<7 9 -2]] Sensipent 3.407 78732/78125
6 <<13 14 -8]] Parakleismic 6.010 1224440064/1220703125
7 <<19 19 -14]] Enneadecal 8.663 19073486328125/19042491875328
8 <<51 52 -36]] Egads 23.328 |-36 -52 51>

7-limit temperaments with badness below 0.06

Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.06.

Rank Wedgie Name Complexity Commas
1 <<2 8 1 8 -4 -20]] Godzilla 2.181 49/48 81/80
2 <<1 4 10 4 13 12]] Meantone 2.205 81/80 126/125
3 <<6 5 3 -6 -12 -7]] Keemun 2.280 49/48 126/125
4 <<5 1 12 -10 5 25]] Magic 2.937 225/224 245/243
5 <<1 4 -9 4 -17 -32]] Flattone 2.987 81/80 525/512
6 <<7 9 13 -2 1 5]] Sensi 3.080 126/125 245/243
7 <<4 -3 2 -14 -8 13]] Negri 3.211 49/48 225/224
8 <<3 12 11 12 9 -8]] Liese 3.211 81/80 686/675
9 <<5 1 -7 -10 -25 -19]] Muggles 3.261 126/125 525/512
10 <<3 -7 -8 -18 -21 1]] Triton 3.342 225/224 1029/1000
11 <<6 5 22 -6 18 37]] Catakleismic 4.684 225/224 4375/4374
12 <<8 13 23 2 14 17]] Unicorn 4.847 126/125 10976/10935
13 <<12 10 25 -12 6 30]] Clyde 5.61 245/243 3136/3125
14 <<7 9 32 -2 31 49]] Sensei 6.706 225/224 78732/78125
15 <<13 14 35 -8 19 42]] Parakleismic 7.343 3136/3125 4375/4374
16 <<14 18 45 -4 32 54]] Subpental 9.279 3136/3125 19683/19600
17 <<19 19 57 -14 37 79]] Enneadecal 11.926 4375/4374 703125/702464
18 <<32 33 92 -22 56 121]] Acrokleismic 19.245 4375/4374 2202927104/2197265625