Collection VI

Unique Residues Primes no. 3

Casey Mongoven

March 20, 2008

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Catalogue Entry B797 & Files
Parameters   Sequence Values & Graph
description of sequence: a(n) = period of Fibonacci sequence mod nth prime
offset: 1
number of members used: 377
number of channels: 2
piece length: 21.112 seconds
note value: .056 seconds
orientation: ascending
temperament: phi^16 + 1
lowest frequency: 122.39 Hz    highest frequency: 292.9922165 Hz   
number of unique frequencies: 318
synthesis technique: wavetable
wave: wave one to wave two
wave one source: latte macchiato glass .33 liters
wave two source: pitch pipe, A4
dynamic: pp to mp
simulated spatial location: left to right
delay: -.0021 to .0021
attack: .006 to .0055 (roll-off .0000003)
release: .0097 to .0089 (roll-off .0000004)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
2 122.3900 w1*.828+w2*.172 pp left .006000 .009700
3 122.4455 w1*.828+w2*.172 pp left .005999 .009699
5 122.5564 w1*.827+w2*.173 pp left .005999 .009698
7 122.6675 w1*.827+w2*.173 pp left .005998 .009697
9 122.7787 w1*.827+w2*.173 pp left .005998 .009697
10 122.8343 w1*.827+w2*.173 pp left .005997 .009696
12 122.9457 w1*.826+w2*.174 pp left .005997 .009695
13 123.0014 w1*.826+w2*.174 pp left .005997 .009695
15 123.1129 w1*.826+w2*.174 pp left .005996 .009694
16 123.1687 w1*.825+w2*.175 pp left .005996 .009694
17 123.2245 w1*.825+w2*.175 pp left .005996 .009693
19 123.3362 w1*.825+w2*.175 pp left .005995 .009692
21 123.4480 w1*.824+w2*.176 pp left .005995 .009692
25 123.6719 w1*.823+w2*.177 pp left .005994 .009690
27 123.7839 w1*.823+w2*.177 pp left .005993 .009689
29 123.8961 w1*.823+w2*.177 pp left .005992 .009688
30 123.9523 w1*.822+w2*.178 pp left .005992 .009688
31 124.0084 w1*.822+w2*.178 pp left .005992 .009687
33 124.1209 w1*.822+w2*.178 pp left .005991 .009687
34 124.1771 w1*.821+w2*.179 pp left .005991 .009686
35 124.2334 w1*.821+w2*.179 pp left .005991 .009686
37 124.3460 w1*.821+w2*.179 pp left .005990 .009685
39 124.4587 w1*.82+w2*.18 pp left .005990 .009684
43 124.6844 w1*.819+w2*.181 pp left .005989 .009682
44 124.7409 w1*.819+w2*.181 pp left .005989 .009682
45 124.7974 w1*.819+w2*.181 pp left .005988 .009682
49 125.0238 w1*.818+w2*.182 pp left .005987 .009680
51 125.1371 w1*.817+w2*.183 pp left .005987 .009679
52 125.1938 w1*.817+w2*.183 pp left .005987 .009679
57 125.4777 w1*.815+w2*.185 pp left .005985 .009677
61 125.7052 w1*.814+w2*.186 pp left .005984 .009675
62 125.7622 w1*.814+w2*.186 pp left .005984 .009675
63 125.8192 w1*.814+w2*.186 pp left .005984 .009674
65 125.9332 w1*.813+w2*.187 pp left .005983 .009673
69 126.1616 w1*.812+w2*.188 pp left .005982 .009672
74 126.4477 w1*.811+w2*.189 pp left .005981 .009670
78 126.6770 w1*.809+w2*.191 pp left .005980 .009668
79 126.7344 w1*.809+w2*.191 pp left .005980 .009668
80 126.7918 w1*.809+w2*.191 pp left .005979 .009667
81 126.8493 w1*.808+w2*.192 pp left .005979 .009667
82 126.9068 w1*.808+w2*.192 pp left .005979 .009666
85 127.0794 w1*.807+w2*.193 pp left .005978 .009665
87 127.1945 w1*.807+w2*.193 pp left .005977 .009664
92 127.4830 w1*.805+w2*.195 pp left .005976 .009662
93 127.5407 w1*.805+w2*.195 pp left .005976 .009662
97 127.7720 w1*.803+w2*.197 pp left .005975 .009660
100 127.9458 w1*.802+w2*.198 pp left .005974 .009659
103 128.1198 w1*.801+w2*.199 pp left .005973 .009658
105 128.2359 w1*.801+w2*.199 pp left .005973 .009657
107 128.3522 w1*.8+w2*.2 pp left .005972 .009656
109 128.4685 w1*.799+w2*.201 pp left .005972 .009655
112 128.6432 w1*.798+w2*.202 pp left .005971 .009654
113 128.7015 w1*.798+w2*.202 pp left .005971 .009653
119 129.0518 w1*.796+w2*.204 pp left .005969 .009651
120 129.1103 w1*.796+w2*.204 pp left .005969 .009651
123 129.2858 w1*.795+w2*.205 pp left .005968 .009649
127 129.5203 w1*.793+w2*.207 pp left .005967 .009648
129 129.6377 w1*.793+w2*.207 pp left .005967 .009647
137 130.1084 w1*.79+w2*.21 pp left .005964 .009643
142 130.4034 w1*.788+w2*.212 pp left .005963 .009641
144 130.5216 w1*.787+w2*.213 pp left .005963 .009641
145 130.5808 w1*.787+w2*.213 pp left .005962 .009640
148 130.7583 w1*.786+w2*.214 pp left .005962 .009639
149 130.8176 w1*.786+w2*.214 pp left .005961 .009638
153 131.0548 w1*.784+w2*.216 pp left .005960 .009637
157 131.2925 w1*.783+w2*.217 pp left .005959 .009635
165 131.7692 w1*.78+w2*.22 pp left .005957 .009632
169 132.0082 w1*.778+w2*.222 pp left .005956 .009630
171 132.1278 w1*.778+w2*.222 pp left .005956 .009629
173 132.2476 w1*.777+w2*.223 pp left .005955 .009629
175 132.3675 w1*.776+w2*.224 pp left .005955 .009628
179 132.6075 w1*.775+w2*.225 pp left .005954 .009626
185 132.9685 w1*.773+w2*.227 pp left .005952 .009624
189 133.2096 w1*.771+w2*.229 pp left .005951 .009622
192 133.3908 w1*.77+w2*.23 pp left .005950 .009621
193 133.4512 w1*.77+w2*.23 pp left .005950 .009620
194 133.5117 w1*.769+w2*.231 pp left .005950 .009620
195 133.5722 w1*.769+w2*.231 pp left .005949 .009619
197 133.6932 w1*.768+w2*.232 pp left .005949 .009619
203 134.0571 w1*.766+w2*.234 pp left .005947 .009616
213 134.6658 w1*.762+w2*.238 pp left .005945 .009612
217 134.9100 w1*.761+w2*.239 pp left .005944 .009610
221 135.1547 w1*.759+w2*.241 pp left .005943 .009609
224 135.3385 w1*.758+w2*.242 pp left .005942 .009607
227 135.5225 w1*.757+w2*.243 pp left .005941 .009606
229 135.6454 w1*.756+w2*.244 pp left .005941 .009605
233 135.8914 w1*.755+w2*.245 pp left .005940 .009604
234 135.9530 w1*.754+w2*.246 pp left .005939 .009603
237 136.1378 w1*.753+w2*.247 pp left .005939 .009602
249 136.8799 w1*.748+w2*.252 pp middle left .005935 .009597
251 137.0040 w1*.748+w2*.252 pp middle left .005935 .009596
262 137.6884 w1*.743+w2*.257 pp middle left .005932 .009592
263 137.7508 w1*.743+w2*.257 pp middle left .005932 .009591
269 138.1257 w1*.741+w2*.259 pp middle left .005930 .009589
274 138.4389 w1*.739+w2*.261 pp middle left .005929 .009587
277 138.6272 w1*.738+w2*.262 pp middle left .005928 .009585
283 139.0045 w1*.735+w2*.265 pp middle left .005927 .009583
288 139.3197 w1*.733+w2*.267 pp middle left .005925 .009581
289 139.3828 w1*.733+w2*.267 pp middle left .005925 .009580
293 139.6356 w1*.731+w2*.269 pp middle left .005924 .009579
295 139.7621 w1*.731+w2*.269 pp middle left .005923 .009578
299 140.0156 w1*.729+w2*.271 pp middle left .005922 .009576
303 140.2696 w1*.727+w2*.273 pp middle left .005921 .009575
305 140.3967 w1*.727+w2*.273 pp middle left .005921 .009574
307 140.5240 w1*.726+w2*.274 pp middle left .005920 .009573
308 140.5876 w1*.725+w2*.275 pp middle left .005920 .009572
312 140.8426 w1*.724+w2*.276 pp middle left .005919 .009571
317 141.1620 w1*.722+w2*.278 pp middle left .005918 .009569
319 141.2899 w1*.721+w2*.279 pp middle left .005917 .009568
322 141.4821 w1*.72+w2*.28 pp middle left .005916 .009567
331 142.0601 w1*.716+w2*.284 pp middle left .005914 .009563
333 142.1888 w1*.716+w2*.284 pp middle left .005914 .009562
345 142.9639 w1*.711+w2*.289 pp middle left .005911 .009557
349 143.2232 w1*.709+w2*.291 pp middle left .005909 .009555
351 143.3530 w1*.709+w2*.291 pp middle left .005909 .009555
352 143.4180 w1*.708+w2*.292 pp middle left .005909 .009554
353 143.4829 w1*.708+w2*.292 pp middle left .005908 .009554
357 143.7432 w1*.706+w2*.294 pp middle left .005907 .009552
365 144.2650 w1*.703+w2*.297 pp middle left .005905 .009549
367 144.3958 w1*.702+w2*.298 pp middle left .005905 .009548
371 144.6577 w1*.701+w2*.299 pp middle left .005904 .009546
374 144.8544 w1*.699+w2*.301 pp middle left .005903 .009545
377 145.0514 w1*.698+w2*.302 pp middle left .005902 .009544
379 145.1829 w1*.697+w2*.303 pp middle left .005902 .009543
380 145.2487 w1*.697+w2*.303 pp middle left .005901 .009543
381 145.3145 w1*.697+w2*.303 pp middle left .005901 .009542
393 146.1065 w1*.692+w2*.308 pp middle left .005898 .009537
394 146.1728 w1*.692+w2*.308 pp middle left .005898 .009537
400 146.5706 w1*.689+w2*.311 pp middle left .005896 .009534
401 146.6370 w1*.689+w2*.311 pp middle left .005896 .009534
403 146.7699 w1*.688+w2*.312 pp middle left .005895 .009533
411 147.3028 w1*.685+w2*.315 pp middle left .005893 .009530
412 147.3695 w1*.684+w2*.316 pp middle left .005893 .009529
425 148.2399 w1*.679+w2*.321 pp middle left .005890 .009524
433 148.7781 w1*.676+w2*.324 pp middle left .005888 .009521
441 149.3183 w1*.673+w2*.327 pp middle left .005886 .009517
449 149.8604 w1*.67+w2*.33 pp middle left .005884 .009514
457 150.4045 w1*.667+w2*.333 pp middle left .005881 .009511
459 150.5408 w1*.666+w2*.334 pp middle left .005881 .009510
462 150.7455 w1*.665+w2*.335 pp middle left .005880 .009509
469 151.2243 w1*.662+w2*.338 pp middle left .005878 .009506
471 151.3614 w1*.661+w2*.339 pp middle left .005878 .009505
473 151.4986 w1*.661+w2*.339 pp middle left .005877 .009504
481 152.0486 w1*.658+w2*.342 pp middle left .005875 .009501
483 152.1864 w1*.657+w2*.343 pp middle left .005875 .009500
487 152.4624 w1*.655+w2*.345 p middle left .005874 .009498
491 152.7390 w1*.654+w2*.346 p middle left .005873 .009496
493 152.8774 w1*.653+w2*.347 p middle left .005872 .009496
497 153.1547 w1*.651+w2*.349 p middle left .005871 .009494
509 153.9895 w1*.647+w2*.353 p middle left .005868 .009489
513 154.2688 w1*.645+w2*.355 p middle left .005867 .009487
517 154.5486 w1*.644+w2*.356 p middle left .005866 .009486
524 155.0394 w1*.641+w2*.359 p middle left .005864 .009483
529 155.3910 w1*.639+w2*.361 p middle left .005863 .009481
530 155.4614 w1*.639+w2*.361 p middle left .005863 .009480
531 155.5318 w1*.638+w2*.362 p middle left .005862 .009480
533 155.6728 w1*.638+w2*.362 p middle left .005862 .009479
535 155.8139 w1*.637+w2*.363 p middle left .005861 .009478
537 155.9551 w1*.636+w2*.364 p middle left .005861 .009477
547 156.6632 w1*.632+w2*.368 p middle left .005858 .009473
558 157.4458 w1*.628+w2*.372 p middle left .005855 .009469
560 157.5885 w1*.627+w2*.373 p middle left .005855 .009468
565 157.9459 w1*.626+w2*.374 p middle left .005853 .009466
573 158.5193 w1*.623+w2*.377 p middle left .005851 .009462
575 158.6630 w1*.622+w2*.378 p middle left .005851 .009462
577 158.8068 w1*.621+w2*.379 p middle left .005850 .009461
579 158.9507 w1*.62+w2*.38 p middle left .005850 .009460
581 159.0948 w1*.62+w2*.38 p middle left .005849 .009459
589 159.6724 w1*.617+w2*.383 p middle left .005847 .009456
590 159.7448 w1*.616+w2*.384 p middle left .005847 .009455
591 159.8172 w1*.616+w2*.384 p middle left .005847 .009455
597 160.2521 w1*.614+w2*.386 p middle left .005845 .009452
601 160.5428 w1*.612+w2*.388 p middle left .005844 .009451
607 160.9797 w1*.61+w2*.39 p middle left .005843 .009448
613 161.4179 w1*.608+w2*.392 p middle left .005841 .009446
615 161.5642 w1*.607+w2*.393 p middle left .005840 .009445
619 161.8572 w1*.606+w2*.394 p middle left .005839 .009443
621 162.0039 w1*.605+w2*.395 p middle left .005839 .009443
629 162.5921 w1*.602+w2*.398 p middle left .005837 .009439
633 162.8870 w1*.6+w2*.4 p middle left .005836 .009438
637 163.1824 w1*.599+w2*.401 p middle left .005835 .009436
642 163.5524 w1*.597+w2*.403 p middle left .005833 .009434
643 163.6265 w1*.597+w2*.403 p middle left .005833 .009433
649 164.0719 w1*.595+w2*.405 p middle left .005832 .009431
655 164.5184 w1*.592+w2*.408 p middle left .005830 .009428
657 164.6675 w1*.592+w2*.408 p middle left .005830 .009428
663 165.1157 w1*.59+w2*.41 p middle left .005828 .009425
667 165.4152 w1*.588+w2*.412 p middle left .005827 .009423
673 165.8654 w1*.586+w2*.414 p middle left .005825 .009421
681 166.4676 w1*.583+w2*.417 p middle left .005823 .009418
682 166.5430 w1*.583+w2*.417 p middle left .005823 .009417
683 166.6185 w1*.582+w2*.418 p middle left .005823 .009417
693 167.3750 w1*.579+w2*.421 p middle left .005820 .009413
695 167.5267 w1*.578+w2*.422 p middle left .005820 .009412
697 167.6785 w1*.577+w2*.423 p middle left .005819 .009411
703 168.1349 w1*.575+w2*.425 p middle left .005818 .009408
709 168.5925 w1*.573+w2*.427 p middle left .005816 .009406
710 168.6689 w1*.573+w2*.427 p middle left .005816 .009406
711 168.7453 w1*.572+w2*.428 p middle left .005816 .009405
713 168.8983 w1*.572+w2*.428 p middle left .005815 .009404
732 170.3582 w1*.565+w2*.435 p middle .005810 .009396
733 170.4354 w1*.565+w2*.435 p middle .005810 .009396
739 170.8993 w1*.562+w2*.438 p middle .005808 .009394
745 171.3645 w1*.56+w2*.44 p middle .005807 .009391
749 171.6752 w1*.559+w2*.441 p middle .005806 .009389
777 173.8666 w1*.549+w2*.451 p middle .005798 .009378
783 174.3399 w1*.547+w2*.453 p middle .005797 .009375
787 174.6561 w1*.546+w2*.454 p middle .005796 .009374
799 175.6081 w1*.541+w2*.459 p middle .005793 .009369
824 177.6081 w1*.533+w2*.467 p middle .005786 .009358
829 178.0109 w1*.531+w2*.469 p middle .005785 .009356
837 178.6572 w1*.528+w2*.472 p middle .005783 .009353
841 178.9812 w1*.527+w2*.473 p middle .005782 .009351
843 179.1434 w1*.526+w2*.474 p middle .005781 .009350
849 179.6310 w1*.524+w2*.476 p middle .005780 .009348
857 180.2832 w1*.522+w2*.478 p middle .005778 .009345
873 181.5946 w1*.516+w2*.484 p middle .005774 .009338
874 181.6769 w1*.516+w2*.484 p middle .005773 .009337
889 182.9156 w1*.511+w2*.489 p middle .005769 .009331
891 183.0814 w1*.51+w2*.49 p middle .005769 .009330
897 183.5797 w1*.508+w2*.492 p middle .005767 .009328
899 183.7461 w1*.507+w2*.493 p middle .005767 .009327
907 184.4132 w1*.505+w2*.495 p middle .005765 .009324
912 184.8314 w1*.503+w2*.497 p middle .005763 .009322
925 185.9230 w1*.499+w2*.501