35 linear temperaments compatible with Genesis

I took the list of 319 11-limit linear temperaments which result from wedging three superparticulars together, and wedged each of them with the 43 tones of Partch's Genesis scale. Since the wedge product is distributive, two such wedge products will differ if and only if the associated linear product distiguishes the two tones in question. Hence I rather quickly found that there are 35 temperaments from this list which distinguish all 43 tones of Genesis. Since this is Partch, I sorted them by rms error (maximum error would have been better, but I haven't written the code for that) instead of badness. Here they are:

Hemiennealimmal

wedgie [36, 54, 36, 18, 2, -44, -96, -68, -145, -74]

map [[0, 2, 3, 2, 1], [18, 12, 17, 34, 54]]

bad 78.02777025 rms .1987978555 g 36.

generators [.4591217956, 1/18] 550.9461547 cents 200/3 cents

Octoid

wedgie [24, 32, 40, 24, -5, -4, -45, 3, -55, -71]

map [[0, -3, -4, -5, -3], [8, 19, 27, 33, 34]]

bad 147.3855058 rms .7687063272 g 23.42160176

generators [.2633934691, 1/8] 316.0721629 cents 150 cents

wedgie [24, 20, 16, -12, -24, -42, -102, -19, -97, -89]

map [[0, -6, -5, -4, 3], [4, 12, 14, 15, 11]]

bad 308.3069734 rms 1.086898632 g 29.62624319

generators [.2359353963, 1/4] 283.1224756 cents 300 cents

Undecimal augmented fifth

wedgie [12, 22, -4, -6, 7, -40, -51, -71, -90, -3]

map [[0, -6, -11, 2, 3], [2, 5, 8, 5, 6]]

bad 169.9769336 rms 1.249417068 g 19.06380265

generators [.1526523192, 1/2] 183.1827830 cents 600 cents

Ennealammal

wedgie [18, 27, 18, -27, 1, -22, -105, -34, -156, -138]

map [[0, -2, -3, -2, 3], [9, 19, 28, 30, 24]]

bad 432.2032364 rms 1.297305750 g 32.62777081

generators [.2635689420, 1/9] 316.2827304 cents 400/3 cents

wedgie [12, 34, 20, 30, 26, -2, 6, -49, -48, 15]

map [[0, -6, -17, -10, -15], [2, 4, 7, 7, 9]]

bad 179.9856041 rms 1.462301383 g 17.95231779

generators [.6933142420e-1, 1/2] 83.19770904 cents 600 cents

wedgie [12, -2, 20, -6, -31, -2, -51, 52, -7, -86]

map [[0, -6, 1, -10, 3], [2, 7, 4, 12, 5]]

bad 195.0280472 rms 1.584514409 g 17.95231779

generators [.3193466476, 1/2] 383.2159771 cents 600 cents

Ennealimmal

wedgie [18, 27, 18, 45, 1, -22, 9, -34, 11, 64]

map [[0, -2, -3, -2, -5], [9, 19, 28, 30, 43]]

bad 290.9447340 rms 1.614770432 g 22.56419413

generators [.2635543717, 1/9] 316.2652460 cents 400/3 cents

Catakleismic

wedgie [6, 5, 22, -21, -6, 18, -54, 37, -66, -135]

map [[0, 6, 5, 22, -21], [1, 0, 1, -3, 9]]

bad 271.0589693 rms 1.697136764 g 20.98979344

generators [.2639230436, 1] 316.7076523 cents 1200 cents

wedgie [12, -14, -4, -42, -50, -40, -108, 30, -49, -104]

map [[0, -6, 7, 2, 21], [2, 8, -1, 4, -10]]

bad 602.7223540 rms 1.755131812 g 33.22649545

generators [.4027409219, 1/2] 483.2891063 cents 600 cents

wedgie [12, 10, 44, 30, -12, 36, 6, 74, 35, -68]

map [[0, 6, 5, 22, 15], [2, 0, 2, -6, -1]]

bad 336.3466116 rms 1.811029208 g 22.97825059

generators [.2639312147, 1/2] 316.7174576 cents 600 cents

wedgie [0, 0, 0, 72, 0, 0, 114, 0, 167, 202]

map [[0, 0, 0, 0, 1], [72, 114, 167, 202, 216]]

bad 965.8716892 rms 1.828087456 g 43.02822994

generators [.4575975148, 1/72] 549.1170178 cents 50/3 cents

wedgie [6, 17, -26, 15, 13, -58, 3, -108, -24, 132]

map [[0, 6, 17, -26, 15], [1, -1, -5, 14, -3]]

bad 353.9145617 rms 1.860428748 g 23.31155446

generators [.4305698169, 1] 516.6837803 cents 1200 cents

wedgie [0, 24, -24, 0, 38, -38, 0, -123, -83, 83]

map [[0, 0, 1, -1, 0], [24, 38, 48, 75, 83]]

bad 327.4119970 rms 1.864367444 g 22.21968240

generators [.3197865867, 1/24] 383.7439040 cents 50 cents

wedgie [0, 12, 24, 36, 19, 38, 57, 22, 42, 18]

map [[0, 0, 1, 2, 3], [12, 19, 24, 26, 30]]

bad 331.3058163 rms 1.886539844 g 22.21968240

generators [.3193329987, 1/12] 383.1995984 cents 100 cents

wedgie [6, 5, 22, 51, -6, 18, 60, 37, 101, 67]

map [[0, 6, 5, 22, 51], [1, 0, 1, -3, -10]]

bad 471.0957653 rms 1.895128508 g 27.37047418

generators [.2638837183, 1] 316.6604620 cents 1200 cents

Miracle

wedgie [6, -7, -2, 15, -25, -20, 3, 15, 59, 49]

map [[0, 6, -7, -2, 15], [1, 1, 3, 3, 2]]

bad 125.5016755 rms 1.901465778 g 12.35198075

generators [.9722688696e-1, 1] 116.6722644 cents 1200 cents

wedgie [26, 11, 12, 34, -43, -54, -36, -3, 41, 54]

map [[0, 26, 11, 12, 34], [1, -11, -3, -3, -13]]

bad 564.0012695 rms 2.379622379 g 26.59887216

generators [.4840763552, 1] 580.8916262 cents 1200 cents

wedgie [17, 6, 15, 27, -30, -24, -16, 18, 42, 24]

map [[0, 17, 6, 15, 27], [1, -5, 0, -3, -7]]

bad 297.3513487 rms 2.412281097 g 17.96822592

generators [.3874002607, 1] 464.8803128 cents 1200 cents

wedgie [8, -16, -6, -38, -44, -32, -88, 31, -33, -86]

map [[0, -4, 8, 3, 19], [2, 4, 3, 5, 3]]

bad 665.4908578 rms 2.577579336 g 28.

generators [.1032506025, 1/2] 123.9007230 cents 600 cents

wedgie [2, -4, 30, 22, -11, 42, 28, 81, 65, -42]

map [[0, -1, 2, -15, -11], [2, 4, 3, 18, 16]]

bad 409.8176894 rms 2.781040890 g 20.

generators [.4126371803, 1/2] 495.1646164 cents 600 cents

wedgie [18, 27, 18, 72, 1, -22, 52, -34, 74, 140]

map [[0, -2, -3, -2, -8], [9, 23, 34, 34, 66]]

bad 1096.758484 rms 2.869219268 g 35.43303543

generators [.4841701986, 1/9] 581.0042383 cents 400/3 cents

wedgie [6, -12, 10, -14, -33, -1, -43, 57, 9, -74]

map [[0, -3, 6, -5, 7], [2, 4, 3, 7, 5]]

bad 310.1807132 rms 2.986631473 g 16.21286967

generators [.1376269090, 1/2] 165.1522908 cents 600 cents

wedgie [11, 18, 5, 41, 3, -23, 27, -39, 33, 98]

map [[0, -11, -18, -5, -41], [1, 2, 3, 3, 5]]

bad 504.1807894 rms 3.109758191 g 21.17950492

generators [.3753460343e-1, 1] 45.04152412 cents 1200 cents

wedgie [16, 26, 46, 40, 4, 28, 8, 34, 3, -47]

map [[0, 8, 13, 23, 20], [2, -4, -7, -15, -11]]

bad 632.2967355 rms 3.130234693 g 24.16609194

generators [.4480823356, 1/2] 537.6988027 cents 600 cents

wedgie [2, -4, -16, -24, -11, -31, -45, -26, -42, -12]

map [[0, -1, 2, 8, 12], [2, 4, 3, -1, -3]]

bad 336.4543492 rms 3.182069339 g 16.38814903

generators [.4135137199, 1/2] 496.2164639 cents 600 cents

Nonkleismic

wedgie [10, 9, 7, 25, -9, -17, 5, -9, 27, 46]

map [[0, 10, 9, 7, 25], [1, -1, 0, 1, -3]]

bad 240.3020098 rms 3.316530343 g 13.06303399

generators [.2584558980, 1] 310.1470776 cents 1200 cents

wedgie [16, 14, 10, -8, -15, -29, -68, -16, -67, -57]

map [[0, -8, -7, -5, 4], [2, 7, 8, 8, 5]]

bad 544.2372567 rms 3.755921842 g 19.79898987

generators [.2394815594, 1/2] 287.3778713 cents 600 cents

wedgie [8, 1, -13, 20, -17, -43, 4, -33, 43, 101]

map [[0, 8, 1, -13, 20], [1, -1, 2, 7, -3]]

bad 441.7730342 rms 3.771188024 g 17.42740043

generators [.3228611737, 1] 387.4334084 cents 1200 cents

wedgie [18, 22, 30, 16, -7, -3, -37, 8, -39, -59]

map [[0, -9, -11, -15, -8], [2, 10, 13, 17, 13]]

bad 477.7638530 rms 4.000177346 g 17.63114128

generators [.3794325393, 1/2] 455.3190472 cents 600 cents

wedgie [20, 18, 14, -8, -18, -34, -82, -18, -81, -71]

map [[0, 10, 9, 7, -4], [2, -2, 0, 2, 9]]

bad 817.4342779 rms 4.100337156 g 23.97617865

generators [.2586851394, 1/2] 310.4221673 cents 600 cents

wedgie [4, -8, 26, 10, -22, 30, 2, 83, 51, -62]

map [[0, 2, -4, 13, 5], [2, 2, 7, -2, 4]]

bad 458.2298456 rms 4.200154135 g 16.69901622

generators [.2931210457, 1/2] 351.7452548 cents 600 cents

wedgie [7, 9, 13, -15, -2, 1, -48, 5, -66, -87]

map [[0, 7, 9, 13, -15], [1, -1, -1, -2, 9]]

bad 475.7351256 rms 4.791027076 g 15.78199698

generators [.3694108067, 1] 443.2929680 cents 1200 cents

wedgie [7, 9, 13, 31, -2, 1, 25, 5, 41, 42]

map [[0, 7, 9, 13, 31], [1, -1, -1, -2, -8]]

bad 461.2544269 rms 4.975617526 g 15.14454169

generators [.3697081632, 1] 443.6497958 cents 1200 cents

wedgie [14, 18, 26, 35, -4, 2, 7, 10, 19, 8]

map [[0, 14, 18, 26, 35], [1, -1, -1, -2, -3]]

bad 705.4531354 rms 5.860579055 g 17.71399769

generators [.1846380967, 1] 221.5657160 cents 1200 cents