Collection VI

Unique Residues Primes no. 4

Casey Mongoven

April 17, 2008

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Catalogue Entry B861 & Files
Parameters   Sequence Values & Graph
description of sequence: a(n) = period of Fibonacci sequence mod nth prime
offset: 1
number of members used: 233
number of channels: 2
piece length: 17.009 seconds
note value: .073 seconds
orientation: ascending
temperament: phi^16 + 1
lowest frequency: 434.04 Hz    highest frequency: 710.2017157 Hz   
number of unique frequencies: 191
synthesis technique: wavetable
wave: wave one to wave two
wave one source: .5 liter Apoldaer beer bottle
wave two source: tuning fork on paper, D4
dynamic: ppp to ff
simulated spatial location: right to left
delay: .0016 to -.0016
attack: .0063 to .0055 (roll-off .0000007)
release: .0102 to .0089 (roll-off .0000012)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
2 434.0400 w1*.826+w2*.174 ppp right .006300 .010200
3 434.2367 w1*.826+w2*.174 ppp right .006299 .010198
5 434.6303 w1*.825+w2*.175 ppp right .006297 .010196
7 435.0242 w1*.824+w2*.176 ppp right .006296 .010194
9 435.4185 w1*.824+w2*.176 ppp right .006294 .010191
10 435.6158 w1*.823+w2*.177 ppp right .006294 .010190
12 436.0107 w1*.823+w2*.177 ppp right .006292 .010188
13 436.2082 w1*.822+w2*.178 ppp right .006291 .010186
15 436.6036 w1*.821+w2*.179 ppp right .006290 .010184
16 436.8014 w1*.821+w2*.179 ppp right .006289 .010183
17 436.9994 w1*.821+w2*.179 ppp right .006288 .010182
19 437.3955 w1*.82+w2*.18 ppp right .006287 .010179
21 437.7919 w1*.819+w2*.181 ppp right .006286 .010177
25 438.5859 w1*.817+w2*.183 ppp right .006283 .010172
27 438.9835 w1*.816+w2*.184 ppp right .006281 .010170
29 439.3814 w1*.815+w2*.185 ppp right .006280 .010167
30 439.5804 w1*.815+w2*.185 ppp right .006279 .010166
33 440.1782 w1*.813+w2*.187 ppp right .006277 .010162
34 440.3777 w1*.813+w2*.187 ppp right .006276 .010161
35 440.5772 w1*.812+w2*.188 ppp right .006275 .010160
37 440.9766 w1*.811+w2*.189 ppp right .006274 .010158
43 442.1768 w1*.808+w2*.192 ppp right .006269 .010151
44 442.3771 w1*.808+w2*.192 ppp right .006269 .010149
45 442.5776 w1*.807+w2*.193 ppp right .006268 .010148
49 443.3802 w1*.805+w2*.195 ppp right .006265 .010143
51 443.7821 w1*.804+w2*.196 ppp right .006263 .010141
52 443.9832 w1*.803+w2*.197 ppp right .006263 .010140
57 444.9900 w1*.8+w2*.2 ppp right .006259 .010134
61 445.7970 w1*.798+w2*.202 ppp right .006256 .010129
62 445.9990 w1*.797+w2*.203 ppp right .006255 .010128
63 446.2011 w1*.797+w2*.203 ppp right .006255 .010127
65 446.6056 w1*.796+w2*.204 ppp right .006253 .010124
69 447.4155 w1*.793+w2*.207 ppp right .006250 .010119
74 448.4301 w1*.79+w2*.21 ppp right .006247 .010113
78 449.2434 w1*.788+w2*.212 ppp right .006244 .010109
79 449.4469 w1*.787+w2*.213 ppp right .006243 .010107
80 449.6506 w1*.787+w2*.213 ppp right .006242 .010106
81 449.8543 w1*.786+w2*.214 ppp right .006241 .010105
82 450.0581 w1*.785+w2*.215 ppp right .006241 .010104
85 450.6702 w1*.783+w2*.217 ppp right .006238 .010100
87 451.0787 w1*.782+w2*.218 ppp right .006237 .010098
92 452.1015 w1*.779+w2*.221 ppp right .006233 .010092
93 452.3064 w1*.778+w2*.222 pp right .006233 .010091
97 453.1267 w1*.776+w2*.224 pp right .006230 .010086
100 453.7429 w1*.774+w2*.226 pp right .006227 .010082
103 454.3600 w1*.772+w2*.228 pp right .006225 .010079
105 454.7718 w1*.771+w2*.229 pp right .006224 .010076
107 455.1840 w1*.769+w2*.231 pp right .006222 .010074
109 455.5966 w1*.768+w2*.232 pp right .006221 .010072
112 456.2162 w1*.766+w2*.234 pp right .006219 .010068
113 456.4229 w1*.766+w2*.234 pp right .006218 .010067
119 457.6652 w1*.762+w2*.238 pp right .006213 .010060
120 457.8725 w1*.761+w2*.239 pp right .006213 .010058
123 458.4952 w1*.759+w2*.241 pp right .006210 .010055
127 459.3268 w1*.756+w2*.244 pp right .006208 .010050
129 459.7431 w1*.755+w2*.245 pp right .006206 .010048
137 461.4122 w1*.75+w2*.25 pp right .006200 .010038
142 462.4585 w1*.747+w2*.253 pp middle right .006196 .010032
145 463.0874 w1*.745+w2*.255 pp middle right .006194 .010029
148 463.7172 w1*.743+w2*.257 pp middle right .006192 .010025
149 463.9273 w1*.742+w2*.258 pp middle right .006191 .010024
157 465.6116 w1*.737+w2*.263 pp middle right .006185 .010014
165 467.3021 w1*.731+w2*.269 pp middle right .006180 .010005
169 468.1496 w1*.729+w2*.271 pp middle right .006177 .010000
171 468.5739 w1*.727+w2*.273 pp middle right .006175 .009997
173 468.9987 w1*.726+w2*.274 pp middle right .006174 .009995
175 469.4238 w1*.725+w2*.275 pp middle right .006172 .009993
179 470.2751 w1*.722+w2*.278 pp middle right .006169 .009988
185 471.5551 w1*.718+w2*.282 pp middle right .006165 .009981
189 472.4103 w1*.715+w2*.285 pp middle right .006162 .009976
192 473.0528 w1*.713+w2*.287 pp middle right .006160 .009972
193 473.2671 w1*.713+w2*.287 pp middle right .006159 .009971
194 473.4815 w1*.712+w2*.288 pp middle right .006158 .009970
195 473.6961 w1*.711+w2*.289 pp middle right .006157 .009969
197 474.1254 w1*.71+w2*.29 pp middle right .006156 .009966
213 477.5744 w1*.7+w2*.3 pp middle right .006144 .009947
217 478.4406 w1*.697+w2*.303 pp middle right .006141 .009942
224 479.9601 w1*.692+w2*.308 pp middle right .006136 .009934
227 480.6128 w1*.691+w2*.309 pp middle right .006134 .009930
229 481.0484 w1*.689+w2*.311 pp middle right .006132 .009928
233 481.9209 w1*.687+w2*.313 pp middle right .006129 .009923
234 482.1393 w1*.686+w2*.314 pp middle right .006129 .009922
237 482.7949 w1*.684+w2*.316 pp middle right .006127 .009918
249 485.4266 w1*.677+w2*.323 pp middle right .006118 .009904
251 485.8666 w1*.675+w2*.325 pp middle right .006116 .009902
262 488.2937 w1*.669+w2*.331 pp middle right .006108 .009889
263 488.5149 w1*.668+w2*.332 pp middle right .006107 .009887
269 489.8445 w1*.664+w2*.336 pp middle right .006103 .009880
274 490.9553 w1*.661+w2*.339 p middle right .006099 .009874
277 491.6229 w1*.66+w2*.34 p middle right .006097 .009871
283 492.9610 w1*.656+w2*.344 p middle right .006093 .009863
288 494.0788 w1*.653+w2*.347 p middle right .006089 .009857
289 494.3027 w1*.652+w2*.348 p middle right .006088 .009856
295 495.6480 w1*.649+w2*.351 p middle right .006084 .009849
299 496.5470 w1*.647+w2*.353 p middle right .006081 .009844
303 497.4475 w1*.644+w2*.356 p middle right .006078 .009840
305 497.8984 w1*.643+w2*.357 p middle right .006077 .009837
307 498.3497 w1*.642+w2*.358 p middle right .006075 .009835
312 499.4798 w1*.639+w2*.361 p middle right .006071 .009829
317 500.6124 w1*.637+w2*.363 p middle right .006068 .009823
319 501.0661 w1*.635+w2*.365 p middle right .006066 .009820
322 501.7475 w1*.634+w2*.366 p middle right .006064 .009817
331 503.7973 w1*.629+w2*.371 p middle right .006057 .009806
333 504.2540 w1*.628+w2*.372 p middle right .006056 .009804
345 507.0026 w1*.621+w2*.379 p middle right .006047 .009789
349 507.9221 w1*.619+w2*.381 p middle right .006044 .009785
351 508.3825 w1*.618+w2*.382 p middle right .006043 .009782
352 508.6129 w1*.618+w2*.382 p middle right .006042 .009781
353 508.8433 w1*.617+w2*.383 p middle right .006041 .009780
357 509.7662 w1*.615+w2*.385 p middle right .006038 .009775
367 512.0807 w1*.61+w2*.39 p middle right .006031 .009763
371 513.0094 w1*.607+w2*.393 p middle right .006028 .009758
374 513.7070 w1*.606+w2*.394 p middle right .006026 .009755
379 514.8719 w1*.603+w2*.397 p middle right .006022 .009749
380 515.1052 w1*.603+w2*.397 p middle right .006021 .009747
381 515.3386 w1*.602+w2*.398 p middle right .006021 .009746
393 518.1476 w1*.596+w2*.404 p middle right .006012 .009732
394 518.3824 w1*.596+w2*.404 p middle right .006011 .009731
401 520.0288 w1*.592+w2*.408 p middle right .006006 .009722
403 520.5002 w1*.591+w2*.409 p middle right .006004 .009720
411 522.3899 w1*.587+w2*.413 p middle .005998 .009710
412 522.6266 w1*.586+w2*.414 p middle .005998 .009709
425 525.7134 w1*.58+w2*.42 p middle .005988 .009694
433 527.6221 w1*.576+w2*.424 p middle .005982 .009684
441 529.5376 w1*.572+w2*.428 p middle .005976 .009674
449 531.4602 w1*.568+w2*.432 p middle .005971 .009665
457 533.3897 w1*.564+w2*.436 mp middle .005965 .009655
462 534.5992 w1*.561+w2*.439 mp middle .005961 .009649
469 536.2971 w1*.557+w2*.443 mp middle .005956 .009641
473 537.2697 w1*.555+w2*.445 mp middle .005953 .009636
483 539.7091 w1*.55+w2*.45 mp middle .005946 .009624
487 540.6879 w1*.548+w2*.452 mp middle .005943 .009619
491 541.6686 w1*.546+w2*.454 mp middle .005940 .009615
497 543.1428 w1*.543+w2*.457 mp middle .005935 .009608
509 546.1034 w1*.537+w2*.463 mp middle .005926 .009593
513 547.0938 w1*.535+w2*.465 mp middle .005923 .009588
517 548.0861 w1*.532+w2*.468 mp middle .005920 .009584
524 549.8268 w1*.529+w2*.471 mp middle .005915 .009575
529 551.0736 w1*.526+w2*.474 mp middle .005912 .009569
537 553.0743 w1*.522+w2*.478 mp middle .005906 .009560
547 555.5854 w1*.516+w2*.484 mp middle .005898 .009548
573 562.1678 w1*.501+w2*.499 mp middle .005879 .009517
579 563.6979 w1*.498+w2*.502 mp middle .005875 .009509
581 564.2088 w1*.497+w2*.503 mp middle .005873 .009507
589 566.2572 w1*.492+w2*.508 mp middle .005867 .009497
591 566.7705 w1*.491+w2*.509 mp middle .005866 .009495
607 570.8934 w1*.481+w2*.519 mp middle .005854 .009476
619 574.0052 w1*.474+w2*.526 mp middle .005845 .009462
621 574.5255 w1*.473+w2*.527 mp middle .005844 .009459
629 576.6113 w1*.468+w2*.532 mp middle .005838 .009450
633 577.6571 w1*.465+w2*.535 mp middle .005835 .009445
637 578.7048 w1*.463+w2*.537 mf middle .005832 .009440
649 581.8592 w1*.455+w2*.545 mf middle .005823 .009426
657 583.9717 w1*.45+w2*.55 mf middle .005817 .009416
663 585.5611 w1*.446+w2*.554 mf middle .005813 .009409
667 586.6231 w1*.444+w2*.556 mf middle .005810 .009404
673 588.2197 w1*.44+w2*.56 mf middle .005806 .009397
681 590.3553 w1*.435+w2*.565 mf middle .005800 .009387
682 590.6228 w1*.434+w2*.566 mf middle left .005799 .009386
711 598.4330 w1*.415+w2*.585 mf middle left .005778 .009352
713 598.9754 w1*.413+w2*.587 mf middle left .005776 .009349
732 604.1531 w1*.4+w2*.6 mf middle left .005762 .009326
733 604.4268 w1*.4+w2*.6 mf middle left .005762 .009325
739 606.0719 w1*.395+w2*.605 mf middle left .005757 .009318
749 608.8236 w1*.388+w2*.612 mf middle left .005750 .009306
777 616.5952 w1*.369+w2*.631 mf middle left .005729 .009273
787 619.3947 w1*.362+w2*.638 mf middle left .005722 .009261
799 622.7709 w1*.353+w2*.647 mf middle left .005713 .009246
824 629.8639 w1*.335+w2*.665 f middle left .005695 .009216
837 633.5841 w1*.326+w2*.674 f middle left .005685 .009201
843 635.3085 w1*.321+w2*.679 f middle left .005681 .009194
849 637.0376 w1*.317+w2*.683 f middle left .005676 .009187
873 644.0013 w1*.3+w2*.7 f middle left .005658 .009158
874 644.2931 w1*.299+w2*.701 f middle left .005658 .009157
889 648.6860 w1*.288+w2*.712 f middle left .005647 .009139
891 649.2740 w1*.286+w2*.714 f middle left .005645 .009136
897 651.0411 w1*.282+w2*.718 f middle left .005641 .009129
899 651.6312 w1*.281+w2*.719 f middle left .005639 .009127
907 653.9970 w1*.275+w2*.725 f middle left .005633 .009117
912 655.4800 w1*.271+w2*.729 f middle left .005630 .009111
933 661.7454 w1*.256+w2*.744 f middle left .005614 .009086
963 670.7999 w1*.235+w2*.765 f left .005592 .009050
973 673.8455 w1*.228+w2*.772 f left .005585 .009038
979 675.6795 w1*.224+w2*.776 f left .005580 .009031
997 681.2116 w1*.212+w2*.788 f left .005567 .009010
1027 690.5324 w1*.193+w2*.807 ff left .005545 .008974
1049 697.4487 w1*.18+w2*.82 ff left .005529 .008947
1057 699.9809 w1*.176+w2*.824 ff left .005523 .008938
1069 703.7963 w1*.171+w2*.829 ff left .005514 .008923
1087 709.5586 w1*.164+w2*.836 ff left .005501 .008902
1089 710.2017 w1*.163+w2*.837 ff left .005500 .008900