a hodgepodge of hexatonics

I repeated the process in "a plethora of pentatonics". I used 3000 random
starting points. 359 did not collapse into scales of 5 or fewer notes:

Scale (sample mode) total diadic h.e. #observations
0 196 310 506 697 1009 59.738 20
0 196 309 508 697 1010 59.746 1
0 192 314 501 697 891 60.164 16
0 196 316 501 698 815 60.176 22
0 112 316 498 702 814 60.181 10
0 193 501 580 697 892 60.319 18
0 197 501 585 698 1083 60.46 12
0 302 501 618 1003 1116 60.463 1
0 78 390 575 703 888 60.469 5
0 195 503 586 696 1004 60.491 8
0 103 408 602 908 1104 60.54 1
0 113 498 611 702 815 60.6 2
0 204 314 390 702 1016 60.601 10
0 311 388 702 886 1090 60.614 5
0 196 315 580 699 895 60.65 5
0 197 384 502 698 815 60.688 11
0 314 389 498 702 813 60.702 7
0 183 387 498 619 885 60.722 2
0 128 206 315 703 1017 70.728 2
0 77 186 574 888 1071 70.729 1
0 79 206 389 703 1091 70.3 1
0 115 385 500 701 816 60.76 12
0 96 400 496 800 896 60.8 1
0 105 210 601 705 809 60.804 3
0 103 600 704 805 1098 60.815 4
0 386 498 617 703 884 60.828 3
0 86 316 584 703 1018 60.841 8
0 203 315 389 702 813 60.848 3
0 312 424 810 923 1125 60.864 1
0 197 313 386 502 699 60.866 3
0 195 272 582 698 894 60.872 1
0 315 433 701 814 932 60.877 2
0 115 384 499 614 815 60.887 2
0 121 311 499 620 703 60.895 9
0 188 310 392 889 1011 60.896 1
0 117 502 698 1002 1086 60.912 8
0 111 314 701 812 890 60.917 4
0 197 313 501 623 699 60.939 4
0 233 312 624 809 1121 60.947 1
0 82 277 395 583 780 60.953 1
0 312 497 627 810 888 60.961 2
0 314 498 626 812 939 60.974 2
0 196 316 500 584 699 60.979 6
0 198 384 501 586 699 60.985 6
0 113 198 315 501 699 60.986 1
0 115 262 499 700 817 60.995 1
0 115 203 431 701 817 61.003 2
0 106 225 410 608 1109 61.014 1
0 79 312 393 576 890 61.024 3
0 315 497 588 702 1086 61.034 1
0 274 500 700 773 1086 61.048 4
0 80 390 578 703 966 61.068 3
0 196 274 384 503 698 61.092 1
0 106 226 420 923 1118 61.093 1
0 203 389 587 702 1015 61.1 11
0 85 392 496 583 704 61.112 4
0 87 315 497 703 889 61.114 3
0 201 272 387 701 973 61.129 1
0 127 206 388 703 1015 61.136 2
0 196 273 501 587 698 61.144 4
0 126 235 314 624 938 61.162 1
0 234 498 622 812 936 61.177 1
0 184 313 417 498 810 61.182 6
0 84 266 497 581 890 61.205 1
0 81 314 579 891 1016 61.21 1
0 124 205 437 702 1015 61.214 2
0 184 265 576 763 887 61.223 1
0 81 314 393 578 703 61.238 1
0 77 391 779 888 1014 61.269 1
0 114 231 428 613 815 61.283 4
0 105 183 414 497 994 61.299 2
0 249 386 497 631 883 61.306 1
0 78 186 264 576 888 61.312 1
0 74 387 498 649 885 61.319 1
0 202 315 390 583 702 61.34 2
0 311 389 498 622 703 61.342 4
0 72 251 324 569 954 61.349 1
0 111 196 315 427 813 61.415 1
0 263 579 701 817 966 61.426 3
0 123 309 389 500 622 61.437 3
0 119 188 310 500 619 61.443 1
0 266 381 646 766 1080 61.446 1
0 181 271 385 499 769 61.527 3
0 497 619 703 811 886 61.54 1
0 583 701 815 967 1082 61.559 2
0 76 190 777 890 1009 61.619 1
0 78 314 497 632 887 61.652 1
0 81 192 392 579 968 61.699 4
0 186 385 498 619 810 61.707 2
0 236 424 553 813 1049 61.723 1
0 156 266 389 580 968 61.73 3
0 106 187 316 498 1075 61.843 3
0 130 238 320 555 941 61.848 1
0 231 312 392 498 624 61.968 1
0 83 209 316 397 1019 61.984 1
0 172 319 442 560 942 61.986 1
0 80 182-3 263 395 577 62.029 2
0 76 251 318 391 956 62.082 1

3000 tries was not enough to find the result of relaxing the 6-tET scale
that we found before,

0 197 388 620 811 1008 62.207

or the result of relaxing harmonics 7-12:

0 202 387 584 702 971 61.228

>I repeated the process in "a plethora of pentatonics".

Thanks -- I'd been looking forward to it.

>Scale (sample mode) total diadic h.e. #observations
>0 196 310 506 697 1009 59.738 20
>0 196 309 508 697 1010 59.746 1
>0 192 314 501 697 891 60.164 16
>0 196 316 501 698 815 60.176 22
>0 112 316 498 702 814 60.181 10

Very cool.

>3000 tries was not enough to find the result of relaxing the 6-tET scale
>that we found before,
>
>0 197 388 620 811 1008 62.207
>
>or the result of relaxing harmonics 7-12:
>
>0 202 387 584 702 971 61.228

Wow.

-Carl