FW: tetradic discordance

Disclaimer: these results are not personally endorsed by Bill yet . . .

but the ranking that his program indicates for the tetrads is:

most concordant
502 1002 1390 23.414 0.19837
492 980 1472 23.251 0.20182
442 884 1326 24.151 0.20354
498 886 1384 23.204 0.20733
388 886 1274 23.674 0.21521
502 1002 1320 23.933 0.21598
434 820 1320 23.955 0.22132
500 886 1320 23.955 0.22176
388 888 1390 23.414 0.22659
442 828 1270 24.795 0.23087
394 784 1282 23.995 0.2323
498 888 1282 23.995 0.24438
318 818 1320 23.933 0.24825
500 816 1316 23.999 0.25697
312 810 1122 24.528 0.25835
260 702 1142 24.194 0.25936
498 884 1080 24.295 0.26179
500 812 1000 24.516 0.26448
272 702 1088 24.194 0.26886
440 882 1142 24.194 0.27528
432 818 1020 24.894 0.27599
388 778 970 24.796 0.2844
204 702 1088 23.621 0.28486
388 702 886 23.941 0.28564
386 816 1088 24.194 0.28737
442 882 1064 24.85 0.28819
498 812 1080 24.621 0.28826
386 884 1088 23.621 0.28852
314 702 1090 24.052 0.29385
182 622 1064 24.85 0.29811
388 776 1090 24.052 0.29876
196 582 1080 24.295 0.29887
310 622 1120 24.678 0.3006
204 702 1020 23.966 0.30061
312 702 888 24.162 0.30126
324 764 1026 24.383 0.30399
436 702 884 24.524 0.30531
314 624 812 25.073 0.3058
318 816 1020 23.966 0.30672
202 588 1020 24.894 0.30716
388 702 970 24.193 0.30734
268 582 1080 24.621 0.30818
262 702 1026 24.383 0.31018
238 628 1020 24.87 0.31202
544 812 1124 25.043 0.31205
392 782 1020 24.87 0.3126
316 702 1018 23.467 0.31415
498 774 1084 24.701 0.31561
278 588 778 25.156 0.31619
498 810 1120 24.678 0.31752
268 702 970 23.721 0.31986
314 584 812 25.055 0.32349
308 620 886 24.94 0.32406
272 772 974 24.1 0.32481
386 702 1088 23.399 0.32581
434 702 1018 24.352 0.32678
312 580 1124 25.043 0.32719
328 772 964 25.173 0.32887
264 650 966 24.318 0.33059
272 702 886 24.409 0.3318
386 652 968 24.997 0.33525
202 702 974 24.1 0.33548
192 636 964 25.173 0.33827
226 612 812 25.268 0.33868
192 582 970 24.796 0.33943
316 702 966 24.318 0.34014
316 630 1018 24.215 0.34015
316 814 966 24.804 0.34068
152 650 966 24.804 0.34109
388 702 1018 24.215 0.34165
262 646 884 25.056 0.34506
310 586 1084 24.701 0.34542
310 578 888 24.887 0.34626
208 592 800 25.268 0.35113
268 582 970 24.193 0.3516
188 500 1000 24.516 0.35169
502 702 1004 23.957 0.35478
382 646 1084 24.408 0.35835
320 636 956 25.109 0.3599
202 500 702 24.398 0.35997
498 702 886 24.081 0.36161
266 578 886 24.94 0.36335
184 614 886 24.409 0.36434
316 584 1018 24.352 0.36535
238 622 884 25.056 0.36808
186 576 888 24.162 0.36813
200 586 812 25.268 0.37068
438 702 1084 24.408 0.37308
386 584 816 25.364 0.3743
270 498 702 24.758 0.37671
388 578 886 24.627 0.37884
228 498 812 25.055 0.3833
498 702 1086 23.996 0.38359
426 618 814 25.449 0.38537
436 618 884 25.262 0.38629
390 626 1016 24.972 0.38777
390 584 780 25.318 0.38846
190 500 778 25.156 0.38889
316 582 968 24.997 0.38912
434 630 1018 25.051 0.39587
386 582 968 24.822 0.39924
184 498 886 23.941 0.39929
204 432 702 24.758 0.4076
314 498 812 24.806 0.40866
188 498 812 25.073 0.41255
384 588 1086 23.996 0.41357
198 430 628 25.928 0.41428
314 498 702 24.586 0.42209
308 498 886 24.627 0.42465
182 448 884 24.524 0.43261
232 432 620 25.801 0.43382
388 584 1018 25.051 0.43545
302 502 1004 23.957 0.43654
448 620 774 25.766 0.43671
232 430 816 25.364 0.45104
266 436 702 25.119 0.45417
188 388 620 25.801 0.45436
204 388 702 24.586 0.46109
196 388 584 25.635 0.46604
434 586 1020 25.176 0.47741
266 448 884 25.262 0.48107
196 390 780 25.318 0.48138
184 388 886 24.081 0.49231
196 388 814 25.449 0.50744
154 326 774 25.766 0.57858
least concordant

and, when I apply a log-trasformation to the amplitudes of the partials,
making them in "decibels" in case that's what Sethares meant (I don't think
so), I get the following ranking (notice that 4:5:6:7 is ranked fourth):

most concordant
502 1002 1390 23.414 176.78
388 886 1274 23.674 178.65
442 884 1326 24.151 181.88
388 702 970 24.193 183.46
386 652 968 24.997 184.11
498 886 1384 23.204 185.01
388 702 1018 24.215 185.1
388 578 886 24.627 188.34
310 578 888 24.887 188.61
492 980 1472 23.251 188.96
316 630 1018 24.215 189.99
388 776 1090 24.052 190.68
320 636 956 25.109 191.87
316 702 1018 23.467 192.37
268 582 970 24.193 193.57
434 702 1018 24.352 193.98
500 886 1320 23.955 196.91
314 702 1090 24.052 197.4
500 812 1000 24.516 197.55
316 582 968 24.997 198
314 498 812 24.806 199.03
308 620 886 24.94 199.65
434 820 1320 23.955 200.08
388 888 1390 23.414 200.22
386 702 1088 23.399 200.87
392 782 1020 24.87 200.99
386 816 1088 24.194 202.48
498 888 1282 23.995 202.83
388 702 886 23.941 203.92
498 812 1080 24.621 204.14
266 578 886 24.94 204.88
442 828 1270 24.795 205.74
502 1002 1320 23.933 206.61
312 810 1122 24.528 206.71
432 818 1020 24.894 206.93
316 584 1018 24.352 207.76
308 498 886 24.627 208.33
436 618 884 25.262 209.06
386 584 816 25.364 209.06
314 584 812 25.055 209.47
268 582 1080 24.621 211.02
272 702 1088 24.194 211.15
264 650 966 24.318 211.23
436 702 884 24.524 212.08
390 626 1016 24.972 212.34
394 784 1282 23.995 213.08
386 582 968 24.822 213.18
316 702 966 24.318 213.49
440 882 1142 24.194 214.07
324 764 1026 24.383 215.67
388 778 970 24.796 216.16
238 628 1020 24.87 216.69
498 810 1120 24.678 219.19
498 884 1080 24.295 220.25
498 774 1084 24.701 221.73
310 622 1120 24.678 221.84
262 702 1026 24.383 223.25
502 702 1004 23.957 223.54
310 586 1084 24.701 226.05
266 436 702 25.119 227.59
188 500 1000 24.516 227.86
202 588 1020 24.894 230
382 646 1084 24.408 231.65
314 498 702 24.586 231.67
270 498 702 24.758 231.73
228 498 812 25.055 232.02
438 702 1084 24.408 233.45
314 624 812 25.073 234.31
390 584 780 25.318 235.41
442 882 1064 24.85 236.06
434 630 1018 25.051 236.92
192 582 970 24.796 236.97
426 618 814 25.449 237.65
184 498 886 23.941 237.79
386 884 1088 23.621 238.73
544 812 1124 25.043 239.74
260 702 1142 24.194 240.07
268 702 970 23.721 240.6
302 502 1004 23.957 241.67
500 816 1316 23.999 241.79
266 448 884 25.262 245.12
312 580 1124 25.043 245.43
388 584 1018 25.051 245.86
498 702 886 24.081 246.59
204 432 702 24.758 247.49
318 818 1320 23.933 248.2
232 432 620 25.801 248.44
278 588 778 25.156 249.4
196 582 1080 24.295 249.61
232 430 816 25.364 251.42
312 702 888 24.162 251.7
262 646 884 25.056 252.76
318 816 1020 23.966 255.19
182 448 884 24.524 255.7
328 772 964 25.173 258.64
204 388 702 24.586 259.99
198 430 628 25.928 260.47
196 388 584 25.635 260.87
188 498 812 25.073 261.81
188 388 620 25.801 263.06
204 702 1020 23.966 263.79
238 622 884 25.056 263.99
204 702 1088 23.621 265.98
186 576 888 24.162 266.22
182 622 1064 24.85 270.13
192 636 964 25.173 271.13
190 500 778 25.156 274.13
384 588 1086 23.996 275.62
498 702 1086 23.996 279.06
434 586 1020 25.176 279.31
202 500 702 24.398 281.97
196 390 780 25.318 288.55
272 772 974 24.1 288.9
272 702 886 24.409 294.99
202 702 974 24.1 295.9
184 388 886 24.081 298.95
196 388 814 25.449 299.93
316 814 966 24.804 300.88
184 614 886 24.409 305.02
448 620 774 25.766 305.51
152 650 966 24.804 311.71
226 612 812 25.268 312.59
200 586 812 25.268 316
208 592 800 25.268 321.38
154 326 774 25.766 384.55
least concordant