Hemifamity/Patent vals: Difference between revisions

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The following patent vals support 2.3.5.7 [[Hemifamity]] (aka Aberschismic). Vals that are contorted in 2.3.5.7 are not included.
The following patent vals support 2.3.5.7 [[Hemifamity]] (aka Aberschismic). Vals that are contorted in 2.3.5.7 are not included.


Note on 11-limit extensions: 41 & 46 & 53 is called Akea (tempers out 385/384), and 41 & 46 & 58 is called Pele (tempers out 896/891). The intersection of the two is Rodan (41 & 46).
Note on extensions:
* 11-limit extensions: 41 & 46 & 53 is called Akea (tempers out 385/384), and 41 & 46 & 58 is called Pele (tempers out 896/891). The intersection of the two is Rodan (41 & 46).
* 13-limit extensions: 41 & 46 & 53 tempers out 4096/4095.
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Revision as of 23:18, 3 April 2026

The following patent vals support 2.3.5.7 Hemifamity (aka Aberschismic). Vals that are contorted in 2.3.5.7 are not included.

Note on extensions:

  • 11-limit extensions: 41 & 46 & 53 is called Akea (tempers out 385/384), and 41 & 46 & 58 is called Pele (tempers out 896/891). The intersection of the two is Rodan (41 & 46).
  • 13-limit extensions: 41 & 46 & 53 tempers out 4096/4095.
Edo Extension to 11 Extension to 13 81/80 tuning 3/2 tuning 5/4 tuning 7/4 tuning
7 41 & 46 & 53 41 & 46 & 53 0.000 685.714 342.857 1028.571
12 41 & 46 & 58 41 & 46 & 53 0.000 700.000 400.000 1000.000
5 41 & 46 & 53, 41 & 46 & 58 0.000 720.000 480.000 960.000
70 17.143 702.857 394.286 977.143
58 41 & 46 & 58 20.690 703.448 393.103 972.414
111 21.622 702.703 389.189 972.973
53 41 & 46 & 53 41 & 46 & 53 22.642 701.887 384.906 973.585
210 22.857 702.857 388.571 971.429
157 22.930 703.185 389.809 970.701
205 23.415 702.439 386.341 971.707
152 41 & 46 & 53 23.684 702.632 386.842 971.053
251 23.904 702.789 387.251 970.518
350 24.000 702.857 387.429 970.286
449 24.053 702.895 387.528 970.156
99 41 & 46 & 53 41 & 46 & 53 24.242 703.030 387.879 969.697
198 24.242 703.030 387.879 969.697
297 24.242 703.030 387.879 969.697
345 24.348 702.609 386.087 970.435
246 41 & 46 & 53 24.390 702.439 385.366 970.732
589 24.448 702.886 387.097 969.779
147 41 & 46 & 53 24.490 702.041 383.673 971.429
490 24.490 702.857 386.939 969.796
391 24.552 702.813 386.701 969.821
244 24.590 703.279 388.525 968.852
536 24.627 702.985 387.313 969.403
292 24.658 702.740 386.301 969.863
340 41 & 46 & 53 24.706 702.353 384.706 970.588
437 24.714 702.975 387.185 969.336
485 24.742 702.680 385.979 969.897
630 24.762 702.857 386.667 969.524
145 41 & 46 & 58 24.828 703.448 388.966 968.276
338 24.852 702.959 386.982 969.231
531 24.859 702.825 386.441 969.492
724 24.862 702.762 386.188 969.613
193 41 & 46 & 53 24.870 702.591 385.492 969.948
386 24.870 702.591 385.492 969.948
577 24.957 702.946 386.828 969.151
625 24.960 702.720 385.920 969.600
48 41 & 46 & 53 41 & 46 & 53 25.000 700.000 375.000 975.000
432 25.000 702.778 386.111 969.444
384 25.000 703.125 387.500 968.750
671 25.037 702.832 386.289 969.300
287 41 & 46 & 53 25.087 702.439 384.669 970.035
526 41 & 46 & 53 25.095 702.662 385.551 969.582
239 41 & 46 & 53 25.105 702.929 386.611 969.038
572 25.175 702.797 386.014 969.231
524 25.191 703.053 387.023 968.702
333 41 & 46 & 53 25.225 702.703 385.586 969.369
618 25.243 702.913 386.408 968.932
285 25.263 703.158 387.368 968.421
427 41 & 46 & 53 25.293 702.576 385.012 969.555
379 41 & 46 & 53 25.330 702.902 386.280 968.865
473 41 & 46 & 53 25.370 702.748 385.624 969.133
331 25.378 703.323 387.915 967.976
425 25.412 703.059 386.824 968.471
519 25.434 702.890 386.127 968.786
613 41 & 46 & 53 25.449 702.773 385.644 969.005
471 25.478 703.185 387.261 968.153
565 25.487 703.009 386.549 968.496
94 41 & 46 & 53 41 & 46 & 53 25.532 702.128 382.979 970.213
234 41 & 46 & 53 25.641 702.564 384.615 969.231
374 41 & 46 & 53 25.668 702.674 385.027 968.984
514 41 & 46 & 53 25.681 702.724 385.214 968.872
140 41 & 46 & 53 41 & 46 & 53 25.714 702.857 385.714 968.571
466 41 & 46 & 53 25.751 703.004 386.266 968.240
326 41 & 46 & 53 25.767 703.067 386.503 968.098
512 25.781 703.125 386.719 967.969
186 41 & 46 & 53 41 & 46 & 53 25.806 703.226 387.097 967.742
418 25.837 703.349 387.560 967.464
232 41 & 46 & 58 25.862 703.448 387.931 967.241
601 41 & 46 & 53 25.957 702.829 385.358 968.386
461 41 & 46 & 53 26.030 702.820 385.249 968.330
507 41 & 46 & 53 26.036 702.959 385.799 968.047
46 41 & 46 & 53, 41 & 46 & 58 41 & 46 & 53 26.087 704.348 391.304 965.217
413 41 & 46 & 53 26.150 703.148 386.441 967.554
367 41 & 46 & 53 26.158 702.997 385.831 967.847
321 41 & 46 & 53 41 & 46 & 53 26.168 702.804 385.047 968.224
548 41 & 46 & 53 26.277 702.920 385.401 967.883
273 41 & 46 & 53 41 & 46 & 53 26.374 703.297 386.813 967.033
227 41 & 46 & 53 41 & 46 & 53 26.432 703.084 385.903 967.401
408 41 & 46 & 53 41 & 46 & 53 26.471 702.941 385.294 967.647
181 41 & 46 & 53 41 & 46 & 53 26.519 702.762 384.530 967.956
135 41 & 46 & 53 41 & 46 & 53 26.667 702.222 382.222 968.889
268 41 & 46 & 53 41 & 46 & 53 26.866 702.985 385.075 967.164
222 41 & 46 & 53 27.027 702.703 383.784 967.568
133 41 & 46 & 53, 41 & 46 & 58 41 & 46 & 53 27.068 703.759 387.970 965.414
309 41 & 46 & 53 27.184 702.913 384.466 966.990
87 41 & 46 & 53, 41 & 46 & 58 41 & 46 & 53 27.586 703.448 386.207 965.517
128 41 & 46 & 53, 41 & 46 & 58 41 & 46 & 53 28.125 703.125 384.375 965.625
169 41 & 46 & 53, 41 & 46 & 58 28.402 702.959 383.432 965.680
41 41 & 46 & 53, 41 & 46 & 58 41 & 46 & 53 29.268 702.439 380.488 965.854
39 41 & 46 & 53 41 & 46 & 53 30.769 707.692 400.000 953.846
34 41 & 46 & 53 41 & 46 & 53 35.294 705.882 388.235 952.941
29 41 & 46 & 58 41.379 703.448 372.414 951.724
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