Collection VIII

Absent Residues Primes no. 6

Casey Mongoven

September 4, 2008

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Catalogue Entry B1047 & Files
Parameters   Sequence Values & Graph
description of sequence: a(n) = number of residues absent in Fibonacci sequence mod nth prime
offset: 1
number of members used: 521
number of channels: 2
piece length: 24.487 seconds
note value: .047 seconds
orientation: ascending
temperament: phi^16 + 1
lowest frequency: 253.36 Hz    highest frequency: 1262.8846339 Hz   
number of unique frequencies: 404
synthesis technique: wavetable with FFT resynthesis
wave source: Sperrhake harpsichord
dynamic: mf to ff
simulated spatial location: left to right
delay: -.001 to .001
attack: .006 to .0052 (roll-off .0000002)
release: .0097 to .0084 (roll-off .0000004)
synthesis language used: Csound
integer frequency dynamic s.s.l. attack release
0 253.3600 mf left .006000 .009700
4 253.8195 mf left .005999 .009698
7 254.1647 mf left .005998 .009697
8 254.2798 mf left .005998 .009697
10 254.5103 mf left .005997 .009696
12 254.7410 mf left .005997 .009695
16 255.2030 mf left .005996 .009694
19 255.5501 mf left .005995 .009693
20 255.6659 mf left .005995 .009692
22 255.8976 mf left .005995 .009691
24 256.1296 mf left .005994 .009691
27 256.4779 mf left .005993 .009690
28 256.5941 mf left .005993 .009689
30 256.8267 mf left .005993 .009689
32 257.0595 mf left .005992 .009688
36 257.5257 mf left .005991 .009686
40 257.9927 mf left .005990 .009685
44 258.4606 mf left .005990 .009683
48 258.9294 mf left .005989 .009682
49 259.0467 mf left .005988 .009682
54 259.6341 mf left .005987 .009680
56 259.8695 mf left .005987 .009679
60 260.3408 mf left .005986 .009678
64 260.8129 mf left .005985 .009676
66 261.0494 mf left .005985 .009675
67 261.1676 mf left .005984 .009675
70 261.5228 mf left .005984 .009674
72 261.7599 mf left .005983 .009673
74 261.9971 mf left .005983 .009672
80 262.7102 mf left .005981 .009670
84 263.1867 mf left .005981 .009669
88 263.6640 mf left .005980 .009667
90 263.9030 mf left .005979 .009667
94 264.3816 mf left .005978 .009665
96 264.6212 mf left .005978 .009664
102 265.3415 mf left .005976 .009662
106 265.8227 mf left .005976 .009661
108 266.0636 mf left .005975 .009660
110 266.3048 mf left .005975 .009659
114 266.7878 mf left .005974 .009658
116 267.0296 mf left .005973 .009657
117 267.1506 mf left .005973 .009657
119 267.3927 mf left .005973 .009656
120 267.5139 mf left .005972 .009656
124 267.9991 mf left .005972 .009654
130 268.7285 mf left .005970 .009652
135 269.3379 mf left .005969 .009650
136 269.4599 mf left .005969 .009650
138 269.7041 mf left .005968 .009649
142 270.1933 mf left .005967 .009647
144 270.4382 mf left .005967 .009647
146 270.6833 mf left .005967 .009646
149 271.0514 mf left .005966 .009645
150 271.1742 mf left .005966 .009645
156 271.9123 mf left .005964 .009642
157 272.0355 mf left .005964 .009642
160 272.4055 mf left .005963 .009641
162 272.6524 mf left .005963 .009640
165 273.0232 mf left .005962 .009639
170 273.6423 mf left .005961 .009637
178 274.6357 mf left .005959 .009634
180 274.8847 mf left .005959 .009634
181 275.0092 mf left .005959 .009633
183 275.2585 mf left .005958 .009632
184 275.3832 mf left .005958 .009632
187 275.7577 mf left .005957 .009631
196 276.8843 mf left .005955 .009628
204 277.8895 mf left .005953 .009625
206 278.1414 mf left .005953 .009624
212 278.8984 mf left .005952 .009622
214 279.1512 mf left .005951 .009621
220 279.9110 mf left .005950 .009619
224 280.4187 mf left .005949 .009617
225 280.5457 mf left .005949 .009617
226 280.6728 mf left .005949 .009617
228 280.9272 mf left .005948 .009616
229 281.0545 mf left .005948 .009616
230 281.1819 mf left .005948 .009615
236 281.9472 mf left .005946 .009613
237 282.0749 mf left .005946 .009613
240 282.4585 mf left .005945 .009612
244 282.9708 mf left .005944 .009610
247 283.3556 mf left .005944 .009609
248 283.4840 mf left .005944 .009609
253 284.1268 mf left .005942 .009607
254 284.2556 mf left .005942 .009606
256 284.5132 mf left .005942 .009606
264 285.5462 mf left .005940 .009603
268 286.0640 mf left .005939 .009601
270 286.3233 mf left .005939 .009601
277 287.2327 mf left .005937 .009598
280 287.6233 mf left .005936 .009597
282 287.8840 mf left .005936 .009596
290 288.9292 mf left .005934 .009593
296 289.7156 mf left .005933 .009591
304 290.7674 mf left .005931 .009588
315 292.2200 mf left .005928 .009584
316 292.3524 mf left .005928 .009584
318 292.6174 mf left .005928 .009583
320 292.8826 mf left .005927 .009582
324 293.4138 mf left .005926 .009581
330 294.2124 mf left .005925 .009579
334 294.7460 mf left .005924 .009577
338 295.2805 mf left .005923 .009576
340 295.5482 mf left .005923 .009575
354 297.4285 mf left .005920 .009570
358 297.9679 mf left .005919 .009568
360 298.2380 mf left .005918 .009568
364 298.7789 mf left .005917 .009566
370 299.5921 mf left .005916 .009564
376 300.4075 mf left .005915 .009562
382 301.2251 mf left .005913 .009559
384 301.4981 mf left .005913 .009559
390 302.3187 mf left .005912 .009557
394 302.8670 mf left .005911 .009555
396 303.1416 mf left .005910 .009554
400 303.6914 mf left .005909 .009553
404 304.2421 mf left .005908 .009551
406 304.5179 mf left .005908 .009551
409 304.9320 mf left .005907 .009550
414 305.6235 mf left .005906 .009548
416 305.9005 mf left .005906 .009547
424 307.0111 mf left .005904 .009544
427 307.4286 mf left .005903 .009543
430 307.8467 mf left .005902 .009542
436 308.6846 mf left .005901 .009540
439 309.1044 mf left .005900 .009539
444 309.8053 mf middle left .005899 .009537
446 310.0861 mf middle left .005899 .009536
460 312.0589 mf middle left .005896 .009531
466 312.9082 mf middle left .005894 .009529
468 313.1919 mf middle left .005894 .009528
472 313.7599 mf middle left .005893 .009526
474 314.0443 mf middle left .005893 .009526
476 314.3289 mf middle left .005892 .009525
480 314.8990 mf middle left .005891 .009524
484 315.4701 mf middle left .005890 .009522
495 317.0460 mf middle left .005888 .009518
496 317.1897 mf middle left .005888 .009518
500 317.7650 mf middle left .005887 .009516
502 318.0530 mf middle left .005886 .009515
504 318.3413 mf middle left .005886 .009515
508 318.9186 mf middle left .005885 .009513
514 319.7866 mf middle left .005884 .009511
516 320.0765 mf middle left .005883 .009510
520 320.6570 mf middle left .005882 .009509
525 321.3841 mf middle left .005881 .009507
526 321.5297 mf middle left .005881 .009507
534 322.6971 mf middle left .005879 .009504
540 323.5754 mf middle left .005878 .009502
544 324.1622 mf middle left .005877 .009500
547 324.6031 mf middle left .005876 .009499
548 324.7501 mf middle left .005876 .009499
550 325.0445 mf middle left .005875 .009498
556 325.9292 mf middle left .005874 .009496
562 326.8163 mf middle left .005873 .009493
564 327.1125 mf middle left .005872 .009493
568 327.7058 mf middle left .005871 .009491
570 328.0028 mf middle left .005871 .009491
574 328.5977 mf middle left .005870 .009489
576 328.8955 mf middle left .005870 .009488
584 330.0896 mf middle left .005868 .009485
585 330.2392 mf middle left .005868 .009485
586 330.3888 mf middle left .005867 .009485
589 330.8381 mf middle left .005867 .009484
591 331.1380 mf middle left .005866 .009483
594 331.5883 mf middle left .005865 .009482
604 333.0938 mf middle left .005863 .009478
607 333.5468 mf middle left .005863 .009477
616 334.9094 mf middle left .005861 .009474
619 335.3649 mf middle left .005860 .009473
622 335.8210 mf middle left .005859 .009471
624 336.1254 mf middle left .005859 .009471
628 336.7350 mf middle left .005858 .009469
634 337.6515 mf middle left .005856 .009467
636 337.9575 mf middle left .005856 .009466
638 338.2638 mf middle left .005856 .009466
656 341.0333 mf middle left .005852 .009459
660 341.6518 mf middle left .005851 .009458
664 342.2715 mf middle left .005850 .009456
669 343.0476 mf middle left .005849 .009454
670 343.2030 mf middle left .005848 .009454
672 343.5141 mf middle left .005848 .009453
676 344.1371 mf middle left .005847 .009452
679 344.6051 mf middle left .005846 .009451
687 345.8563 mf middle left .005845 .009448
688 346.0130 mf middle left .005844 .009447
690 346.3266 mf middle left .005844 .009447
692 346.6405 mf middle left .005843 .009446
694 346.9547 mf middle left .005843 .009445
696 347.2692 mf middle left .005842 .009444
700 347.8990 mf middle left .005842 .009443
705 348.6879 mf middle left .005840 .009441
708 349.1621 mf middle left .005840 .009440
710 349.4786 mf middle left .005839 .009439
720 351.0653 mf middle left .005837 .009436
724 351.7020 mf middle left .005836 .009434
728 352.3399 mf middle left .005835 .009433
729 352.4995 mf middle left .005835 .009432
730 352.6593 mf middle left .005835 .009432
740 354.2604 mf middle left .005833 .009428
742 354.5815 mf middle left .005832 .009427
754 356.5143 mf middle left .005829 .009423
764 358.1330 mf middle left .005827 .009419
765 358.2952 mf middle left .005827 .009419
766 358.4576 mf middle left .005827 .009419
770 359.1077 mf middle left .005826 .009417
784 361.3924 mf middle left .005823 .009412
787 361.8839 mf middle left .005822 .009411
790 362.3760 mf middle left .005821 .009410
792 362.7045 mf middle left .005821 .009409
796 363.3623 mf middle left .005820 .009408
799 363.8564 mf middle left .005819 .009407
800 364.0213 mf middle left .005819 .009406
802 364.3513 mf middle left .005819 .009405
804 364.6815 mf middle left .005818 .009405
808 365.3429 mf middle left .005817 .009403
826 368.3341 mf middle left .005813 .009397
834 369.6714 mf middle left .005811 .009394
836 370.0064 mf middle left .005811 .009393
838 370.3418 mf middle left .005810 .009392
844 371.3498 mf middle left .005809 .009390
845 371.5180 mf middle left .005809 .009390
849 372.1919 mf middle left .005808 .009388
852 372.6980 mf middle left .005807 .009387
856 373.3739 mf middle left .005806 .009386
859 373.8817 mf middle left .005806 .009385
860 374.0511 mf middle left .005805 .009384
864 374.7295 mf middle left .005805 .009383
867 375.2391 mf middle left .005804 .009382
876 376.7721 mf middle left .005802 .009378
877 376.9428 mf middle left .005802 .009378
880 377.4554 mf middle left .005801 .009377
882 377.7976 mf middle left .005801 .009376
883 377.9687 mf middle left .005800 .009376
886 378.4827 mf middle left .005800 .009375
894 379.8569 f middle left .005798 .009372
900 380.8907 f middle left .005796 .009370
904 381.5815 f middle left .005796 .009368
906 381.9274 f middle left .005795 .009367
908 382.2736 f middle left .005795 .009367
910 382.6201 f middle left .005794 .009366
917 383.8353 f middle left .005793 .009363
922 384.7057 f middle left .005791 .009361
924 385.0544 f middle left .005791 .009361
928 385.7527 f middle left .005790 .009359
930 386.1024 f middle left .005790 .009359
936 387.1532 f middle left .005788 .009356
943 388.3828 f middle left .005787 .009354
948 389.2635 f middle left .005786 .009352
949 389.4399 f middle left .005785 .009352
952 389.9695 f middle left .005785 .009350
954 390.3230 f middle left .005784 .009350
957 390.8538 f middle left .005784 .009349
967 392.6284 f middle left .005781 .009345
976 394.2324 f middle left .005779 .009342
986 396.0223 f middle left .005777 .009338
988 396.3813 f middle left .005777 .009337
1002 398.9031 f middle left .005773 .009332
1012 400.7143 f middle left .005771 .009328
1014 401.0775 f middle left .005771 .009328
1017 401.6229 f middle left .005770 .009327
1018 401.8049 f middle left .005770 .009326
1020 402.1691 f middle left .005769 .009326
1024 402.8985 f middle left .005768 .009324
1042 406.1972 f middle left .005764 .009317
1044 406.5654 f middle left .005764 .009317
1047 407.1183 f middle left .005763 .009316
1055 408.5963 f middle left .005761 .009313
1057 408.9667 f middle left .005761 .009312
1058 409.1520 f middle left .005761 .009312
1060 409.5229 f middle left .005760 .009311
1061 409.7084 f middle left .005760 .009311
1064 410.2656 f middle left .005759 .009309
1069 411.1959 f middle left .005758 .009308
1072 411.7551 f middle left .005758 .009306
1078 412.8758 f middle left .005756 .009304
1080 413.2500 f middle left .005756 .009304
1094 415.8792 f middle left .005753 .009298
1102 417.3891 f middle left .005751 .009296
1108 418.5251 f middle left .005750 .009293
1114 419.6642 f middle left .005748 .009291
1119 420.6158 f middle left .005747 .009289
1125 421.7606 f middle left .005746 .009287
1126 421.9517 f middle left .005745 .009287
1129 422.5255 f middle left .005745 .009286
1132 423.1001 f middle left .005744 .009285
1144 425.4063 f middle left .005741 .009280
1164 429.2780 f middle left .005737 .009273
1170 430.4464 f middle left .005736 .009271
1174 431.2271 f middle left .005735 .009269
1197 435.7435 f middle left .005729 .009261
1200 436.3361 f middle left .005729 .009260
1205 437.3256 f middle left .005728 .009258
1216 439.5102 f middle left .005725 .009254
1219 440.1079 f middle left .005724 .009253
1222 440.7064 f middle left .005724 .009252
1245 445.3221 f middle left .005719 .009243
1258 447.9524 f middle left .005716 .009238
1260 448.3584 f middle left .005715 .009238
1264 449.1716 f middle left .005714 .009236
1280 452.4390 f middle left .005711 .009230
1290 454.4932 f middle left .005708 .009227
1299 456.3500 f middle left .005706 .009223
1300 456.5567 f middle left .005706 .009223
1304 457.3848 f middle left .005705 .009221
1309 458.4219 f middle left .005704 .009220
1316 459.8779 f middle left .005703 .009217
1317 460.0863 f middle left .005702 .009217
1327 462.1752 f middle left .005700 .009213
1328 462.3846 f middle left .005700 .009213
1334 463.6431 f middle .005699 .009210
1335 463.8532 f middle .005698 .009210
1346 466.1703 f middle .005696 .009206
1359 468.9237 f middle .005693 .009201
1372 471.6934 f middle .005690 .009197
1377 472.7630 f middle .005689 .009195
1384 474.2645 f middle .005687 .009192
1395 476.6336 f middle .005685 .009188
1413 480.5360 f middle .005681 .009181
1414 480.7537 f middle .005680 .009181
1420 482.0622 f middle .005679 .009179
1474 493.9999 f middle .005667 .009159
1522 504.8590 f middle .005656 .009142
1528 506.2331 f middle .005655 .009139
1532 507.1513 f middle .005654 .009138
1540 508.9925 f middle .005652 .009135
1560 513.6249 f middle .005648 .009128
1568 515.4897 f middle .005646 .009125
1574 516.8927 f middle .005644 .009122
1596 522.0698 f middle .005639 .009114
1597 522.3064 f middle .005639 .009114
1624 528.7340 f middle .005633 .009104
1628 529.6929 f middle .005632 .009103
1668 539.3785 f middle .005623 .009088
1696 546.2635 f middle .005617 .009078
1702 547.7503 f middle .005616 .009076
1709 549.4900 f middle .005614 .009073
1719 551.9848 f middle .005612 .009069
1720 552.2349 f middle .005611 .009069
1740 557.2609 f middle .005607 .009062
1798 572.0965 f middle .005594 .009040
1800 572.6150 f middle .005593 .009040
1804 573.6535 f middle .005593 .009038
1813 575.9971 f middle .005590 .009035
1824 578.8745 f middle .005588 .009031
1854 586.7951 f middle .005581 .009020
1866 589.9936 f middle .005579 .009015
1876 592.6723 f middle .005576 .009012
1892 596.9837 f middle .005573 .009006
1916 603.5095 f middle .005567 .008997
1936 609.0021 f middle .005563 .008990
1946 611.7672 f middle .005560 .008986
1984 622.3893 f middle .005552 .008972
2000 626.9168 f middle .005548 .008966
2031 635.7827 f middle .005541 .008955
2035 636.9358 f middle .005540 .008953
2088 652.4131 f middle .005528 .008934
2096 654.7818 f middle .005527 .008931
2116 660.7411 f middle .005522 .008924
2122 662.5394 f middle .005521 .008922
2134 666.1508 f middle .005518 .008917
2152 671.6048 f middle .005514 .008911
2169 676.7968 f middle .005510 .008904
2176 678.9463 f middle .005509 .008902
2214 690.7349 f middle .005500 .008888
2224 693.8711 f middle right .005498 .008884
2244 700.1861 f middle right .005493 .008877
2262 705.9188 f middle right .005489 .008870
2269 708.1608 f middle right .005488 .008868
2308 720.7831 f middle right .005479 .008853
2310 721.4364 f middle right .005478 .008853
2318 724.0557 f middle right .005477 .008850
2346 733.2981 f middle right .005470 .008839
2360 737.9635 f middle right .005467 .008834
2362 738.6324 f middle right .005467 .008834
2406 753.5025 f middle right .005457 .008817
2428 761.0495 f middle right .005452 .008809
2444 766.5856 f middle right .005448 .008804
2448 767.9760 f middle right .005447 .008802
2460 772.1620 f middle right .005445 .008798
2464 773.5625 f middle right .005444 .008796
2497 785.2134 f middle right .005436 .008784
2524 794.8763 f middle right .005430 .008774
2532 797.7622 f middle right .005428 .008771
2545 802.4741 f middle right .005425 .008766
2592 819.7428 f middle right .005415 .008749
2608 825.7059 f middle right .005411 .008743
2673 850.3803 ff middle right .005396 .008720
2712 865.5375 ff middle right .005388 .008705
2758 883.7629 ff middle right .005377 .008688
2768 887.7754 ff middle right .005375 .008685
2782 893.4236 ff middle right .005372 .008680
2864 927.2349 ff middle right .005353 .008650
2956 966.6950 ff middle right .005333 .008616
2959 968.0096 ff middle right .005332 .008615
2962 969.3261 ff middle right .005331 .008614
3074 1019.775 ff middle right .005306 .008573
3122 1042.192 ff right .005295 .008555
3155 1057.889 ff right .005288 .008543
3200 1079.675 ff right .005278 .008526
3244 1101.411 ff right .005268 .008510
3394 1178.853 ff right .005234 .008455
3546 1262.885 ff right .005200 .008400