Collection VI

Pisano Periods Primes no. 4

Casey Mongoven

March 30, 2008

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Catalogue Entry B832 & 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: 14.912 seconds
note value: .064 seconds
orientation: descending
temperament: phi^18 + 1
lowest frequency: 62.6715886 Hz    highest frequency: 103.61 Hz   
number of unique frequencies: 212
synthesis technique: wavetable
wave: wave one to wave two
wave one source: Sperrhake harpsichord plucked with finger, D2 (A = 415 Hz)
wave two source: large balloon
dynamic: pp to f
simulated spatial location: right to left
delay: .002 to -.002
attack: .0063 to .0055 (roll-off .0000003)
release: .0102 to .0089 (roll-off .0000004)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
3 103.6100 w1*.796+w2*.204 pp right .006300 .010200
8 103.5204 w1*.795+w2*.205 pp right .006298 .010197
10 103.4846 w1*.795+w2*.205 pp right .006298 .010196
14 103.4130 w1*.795+w2*.205 pp right .006296 .010195
16 103.3772 w1*.795+w2*.205 pp right .006296 .010194
18 103.3414 w1*.794+w2*.206 pp right .006295 .010193
20 103.3056 w1*.794+w2*.206 pp right .006295 .010192
22 103.2699 w1*.794+w2*.206 pp right .006294 .010191
26 103.1984 w1*.793+w2*.207 pp right .006293 .010189
28 103.1627 w1*.793+w2*.207 pp right .006293 .010188
30 103.1270 w1*.793+w2*.207 pp right .006292 .010187
32 103.0913 w1*.793+w2*.207 pp right .006292 .010187
36 103.0200 w1*.792+w2*.208 pp right .006290 .010185
40 102.9487 w1*.791+w2*.209 pp right .006289 .010183
42 102.9131 w1*.791+w2*.209 pp right .006289 .010182
44 102.8775 w1*.791+w2*.209 pp right .006288 .010181
46 102.8419 w1*.791+w2*.209 pp right .006288 .010180
48 102.8063 w1*.79+w2*.21 pp right .006287 .010179
50 102.7707 w1*.79+w2*.21 pp right .006287 .010179
52 102.7351 w1*.79+w2*.21 pp right .006286 .010178
56 102.6640 w1*.789+w2*.211 pp right .006285 .010176
58 102.6285 w1*.789+w2*.211 pp right .006284 .010175
60 102.5930 w1*.788+w2*.212 pp right .006284 .010174
70 102.4156 w1*.787+w2*.213 pp right .006281 .010170
72 102.3802 w1*.787+w2*.213 pp right .006281 .010169
76 102.3093 w1*.786+w2*.214 pp right .006279 .010167
78 102.2739 w1*.786+w2*.214 pp right .006279 .010166
84 102.1678 w1*.785+w2*.215 pp right .006277 .010163
88 102.0971 w1*.784+w2*.216 pp right .006276 .010162
90 102.0618 w1*.784+w2*.216 pp right .006276 .010161
96 101.9558 w1*.782+w2*.218 pp right .006274 .010158
102 101.8500 w1*.781+w2*.219 pp right .006272 .010155
108 101.7443 w1*.78+w2*.22 pp right .006271 .010153
110 101.7091 w1*.78+w2*.22 pp right .006270 .010152
114 101.6387 w1*.779+w2*.221 pp right .006269 .010150
118 101.5684 w1*.778+w2*.222 pp right .006268 .010148
124 101.4630 w1*.777+w2*.223 pp right .006266 .010145
126 101.4279 w1*.777+w2*.223 pp right .006266 .010145
128 101.3928 w1*.777+w2*.223 pp right .006265 .010144
130 101.3577 w1*.776+w2*.224 pp right .006265 .010143
136 101.2525 w1*.775+w2*.225 pp right .006263 .010140
138 101.2175 w1*.775+w2*.225 pp right .006262 .010139
148 101.0425 w1*.773+w2*.227 pp right .006260 .010135
168 100.6933 w1*.768+w2*.232 pp right .006254 .010126
174 100.5888 w1*.767+w2*.233 pp right .006252 .010123
176 100.5540 w1*.767+w2*.233 pp right .006252 .010122
178 100.5192 w1*.766+w2*.234 pp right .006251 .010121
190 100.3107 w1*.764+w2*.236 pp right .006248 .010116
192 100.2760 w1*.763+w2*.237 pp right .006247 .010115
196 100.2066 w1*.763+w2*.237 pp right .006246 .010113
198 100.1719 w1*.762+w2*.238 pp right .006246 .010112
200 100.1373 w1*.762+w2*.238 pp right .006245 .010111
202 100.1026 w1*.761+w2*.239 pp right .006245 .010110
206 100.0333 w1*.76+w2*.24 pp right .006244 .010109
208 99.99873 w1*.76+w2*.24 pp right .006243 .010108
212 99.92954 w1*.759+w2*.241 pp right .006242 .010106
220 99.79128 w1*.757+w2*.243 pp right .006240 .010102
228 99.65322 w1*.756+w2*.244 pp right .006238 .010099
230 99.61874 w1*.755+w2*.245 pp right .006237 .010098
232 99.58427 w1*.755+w2*.245 pp right .006236 .010097
236 99.51536 w1*.754+w2*.246 pp right .006235 .010095
238 99.48092 w1*.753+w2*.247 pp right .006235 .010094
240 99.44649 w1*.753+w2*.247 pp right .006234 .010093
250 99.27454 w1*.751+w2*.249 pp right .006231 .010089
254 99.20585 w1*.75+w2*.25 pp right .006230 .010087
256 99.17152 w1*.749+w2*.251 pp right .006230 .010086
262 99.06860 w1*.748+w2*.252 pp right .006228 .010084
268 98.96579 w1*.747+w2*.253 pp right .006227 .010081
270 98.93154 w1*.746+w2*.254 pp right .006226 .010080
276 98.82887 w1*.745+w2*.255 pp right .006224 .010077
310 98.24908 w1*.737+w2*.263 pp right .006215 .010062
316 98.14712 w1*.736+w2*.264 pp right .006213 .010059
322 98.04526 w1*.734+w2*.266 pp right .006212 .010057
328 97.94351 w1*.733+w2*.267 pp right .006210 .010054
336 97.80801 w1*.731+w2*.269 pp right .006208 .010051
348 97.60510 w1*.728+w2*.272 pp right .006204 .010045
356 97.47007 w1*.726+w2*.274 pp right .006202 .010042
358 97.43634 w1*.726+w2*.274 pp right .006202 .010041
376 97.13330 w1*.721+w2*.279 p middle right .006197 .010033
378 97.09968 w1*.721+w2*.279 p middle right .006196 .010032
380 97.06608 w1*.72+w2*.28 p middle right .006196 .010031
388 96.93179 w1*.718+w2*.282 p middle right .006193 .010027
396 96.79769 w1*.717+w2*.283 p middle right .006191 .010024
408 96.59688 w1*.714+w2*.286 p middle right .006188 .010018
410 96.56345 w1*.713+w2*.287 p middle right .006187 .010017
418 96.42986 w1*.711+w2*.289 p middle right .006185 .010014
426 96.29645 w1*.709+w2*.291 p middle right .006183 .010010
430 96.22982 w1*.708+w2*.292 p middle right .006182 .010008
438 96.09668 w1*.706+w2*.294 p middle right .006180 .010005
448 95.93053 w1*.704+w2*.296 p middle right .006177 .010000
452 95.86414 w1*.703+w2*.297 p middle right .006176 .009999
456 95.79781 w1*.702+w2*.298 p middle right .006175 .009997
460 95.73152 w1*.701+w2*.299 p middle right .006174 .009995
470 95.56599 w1*.698+w2*.302 p middle right .006171 .009991
478 95.43378 w1*.697+w2*.303 p middle right .006169 .009987
490 95.23580 w1*.694+w2*.306 p middle right .006165 .009982
496 95.13696 w1*.692+w2*.308 p middle right .006164 .009979
498 95.10404 w1*.692+w2*.308 p middle right .006163 .009978
510 94.90675 w1*.689+w2*.311 p middle right .006160 .009973
516 94.80825 w1*.687+w2*.313 p middle right .006158 .009970
530 94.57883 w1*.684+w2*.316 p middle right .006154 .009964
554 94.18683 w1*.678+w2*.322 p middle right .006148 .009953
556 94.15424 w1*.677+w2*.323 p middle right .006147 .009952
568 93.95891 w1*.674+w2*.326 p middle right .006144 .009947
570 93.92640 w1*.674+w2*.326 p middle right .006143 .009946
588 93.63427 w1*.669+w2*.331 p middle right .006138 .009938
598 93.47238 w1*.667+w2*.333 p middle right .006136 .009933
600 93.44003 w1*.667+w2*.333 p middle right .006135 .009932
614 93.21392 w1*.663+w2*.337 p middle right .006131 .009926
624 93.05275 w1*.661+w2*.339 p middle right .006128 .009922
628 92.98836 w1*.66+w2*.34 p middle right .006127 .009920
630 92.95618 w1*.659+w2*.341 p middle right .006127 .009919
636 92.85971 w1*.658+w2*.342 p middle right .006125 .009916
640 92.79545 w1*.657+w2*.343 p middle right .006124 .009914
652 92.60295 w1*.654+w2*.346 p middle right .006121 .009909
658 92.50684 w1*.652+w2*.348 p middle right .006119 .009906
676 92.21913 w1*.648+w2*.352 p middle right .006114 .009898
680 92.15532 w1*.647+w2*.353 p middle right .006113 .009897
700 91.83691 w1*.642+w2*.358 p middle right .006108 .009888
704 91.77336 w1*.641+w2*.359 p middle right .006106 .009886
718 91.55129 w1*.638+w2*.362 p middle right .006103 .009880
732 91.32975 w1*.634+w2*.366 p middle right .006099 .009873
736 91.26655 w1*.633+w2*.367 p middle right .006098 .009871
738 91.23496 w1*.633+w2*.367 p middle right .006097 .009871
748 91.07721 w1*.63+w2*.37 p middle right .006094 .009866
750 91.04570 w1*.63+w2*.37 p middle right .006094 .009865
768 90.76253 w1*.626+w2*.374 p middle right .006089 .009857
796 90.32380 w1*.619+w2*.381 p middle right .006081 .009845
812 90.07405 w1*.615+w2*.385 p middle right .006077 .009837
816 90.01172 w1*.614+w2*.386 p middle right .006076 .009836
820 89.94943 w1*.613+w2*.387 p middle right .006075 .009834
838 89.66968 w1*.609+w2*.391 p middle right .006070 .009826
852 89.45269 w1*.606+w2*.394 p middle right .006066 .009820
868 89.20535 w1*.602+w2*.398 p middle right .006061 .009812
872 89.14362 w1*.601+w2*.399 p middle right .006060 .009811
888 88.89713 w1*.597+w2*.403 p middle right .006056 .009803
916 88.46742 w1*.591+w2*.409 p middle right .006048 .009791
928 88.28389 w1*.588+w2*.412 p middle right .006045 .009786
936 88.16176 w1*.586+w2*.414 p middle right .006043 .009782
970 87.64455 w1*.578+w2*.422 p middle right .006033 .009767
976 87.55359 w1*.577+w2*.423 p middle right .006032 .009764
1008 87.07008 w1*.57+w2*.43 p middle right .006023 .009750
1018 86.91953 w1*.568+w2*.432 p middle right .006020 .009745
1038 86.61921 w1*.563+w2*.437 p middle right .006014 .009736
1048 86.46944 w1*.561+w2*.439 p middle right .006012 .009732
1050 86.43952 w1*.56+w2*.44 p middle right .006011 .009731
1090 85.84323 w1*.552+w2*.448 p middle right .006000 .009713
1096 85.75414 w1*.55+w2*.45 mp middle .005999 .009710
1128 85.28057 w1*.543+w2*.457 mp middle .005990 .009696
1156 84.86834 w1*.537+w2*.463 mp middle .005982 .009684
1170 84.66297 w1*.534+w2*.466 mp middle .005978 .009677
1176 84.57511 w1*.533+w2*.467 mp middle .005976 .009675
1180 84.51658 w1*.532+w2*.468 mp middle .005975 .009673
1188 84.39966 w1*.53+w2*.47 mp middle .005973 .009669
1200 84.22457 w1*.528+w2*.472 mp middle .005970 .009664
1216 83.99168 w1*.524+w2*.476 mp middle .005965 .009657
1228 83.81744 w1*.522+w2*.478 mp middle .005962 .009651
1236 83.70148 w1*.52+w2*.48 mp middle .005960 .009648
1258 83.38342 w1*.515+w2*.485 mp middle .005954 .009638
1288 82.95164 w1*.509+w2*.491 mp middle .005946 .009624
1296 82.83688 w1*.507+w2*.493 mp middle .005943 .009621
1300 82.77956 w1*.506+w2*.494 mp middle .005942 .009619
1308 82.66503 w1*.505+w2*.495 mp middle .005940 .009616
1318 82.52210 w1*.502+w2*.498 mp middle .005937 .009611
1320 82.49354 w1*.502+w2*.498 mp middle .005937 .009610
1348 82.09478 w1*.496+w2*.504 mp middle .005929 .009598
1368 81.81114 w1*.492+w2*.508 mp middle .005924 .009589
1398 81.38750 w1*.486+w2*.514 mp middle .005915 .009575
1428 80.96606 w1*.48+w2*.52 mp middle .005907 .009562
1438 80.82606 w1*.478+w2*.522 mp middle .005904 .009557
1450 80.65839 w1*.475+w2*.525 mp middle .005901 .009552
1456 80.57468 w1*.474+w2*.526 mp middle .005899 .009549
1458 80.54680 w1*.473+w2*.527 mp middle .005899 .009548
1468 80.40753 w1*.471+w2*.529 mp middle .005896 .009544
1516 79.74238 w1*.462+w2*.538 mp middle .005883 .009522
1548 79.30201 w1*.455+w2*.545 mp middle .005874 .009508
1576 78.91867 w1*.45+w2*.55 mp middle .005866 .009496
1648 77.94145 w1*.435+w2*.565 mp middle .005846 .009463
1656 77.83362 w1*.433+w2*.567 mp middle .005844 .009460
1708 77.13634 w1*.423+w2*.577 mp middle .005830 .009437
1716 77.02963 w1*.421+w2*.579 mp middle .005828 .009433
1728 76.86983 w1*.419+w2*.581 mp middle .005824 .009428
1756 76.49825 w1*.413+w2*.587 mp middle .005817 .009415
1768 76.33956 w1*.411+w2*.589 mp middle .005813 .009410
1776 76.23394 w1*.409+w2*.591 mp middle .005811 .009406
1816 75.70806 w1*.401+w2*.599 mp middle .005800 .009388
1876 74.92602 w1*.389+w2*.611 mf middle left .005784 .009361
1896 74.66715 w1*.385+w2*.615 mf middle left .005778 .009352
1968 73.74257 w1*.37+w2*.63 mf middle left .005758 .009320
1996 73.38611 w1*.364+w2*.636 mf middle left .005751 .009308
2028 72.98084 w1*.357+w2*.643 mf middle left .005742 .009293
2068 72.47739 w1*.349+w2*.651 mf middle left .005731 .009275
2128 71.72873 w1*.336+w2*.664 mf middle left .005714 .009249
2188 70.98780 w1*.323+w2*.677 mf middle left .005698 .009222
2236 70.40057 w1*.312+w2*.688 mf middle left .005685 .009200
2248 70.25452 w1*.309+w2*.691 mf middle left .005681 .009195
2308 69.52882 w1*.296+w2*.704 mf middle left .005665 .009168
2328 69.28859 w1*.291+w2*.709 mf middle left .005659 .009159
2376 68.71542 w1*.28+w2*.72 mf middle left .005646 .009138
2388 68.57287 w1*.277+w2*.723 mf middle left .005643 .009132
2428 68.09983 w1*.268+w2*.732 mf middle left .005632 .009114
2476 67.53649 w1*.257+w2*.743 mf middle left .005618 .009093
2568 66.46975 w1*.237+w2*.763 f left .005593 .009052
2596 66.14845 w1*.231+w2*.769 f left .005585 .009039
2608 66.01122 w1*.228+w2*.772 f left .005582 .009034
2656 65.46516 w1*.218+w2*.782 f left .005569 .009012
2736 64.56508 w1*.201+w2*.799 f left .005547 .008976
2748 64.43114 w1*.199+w2*.801 f left .005544 .008971
2848 63.32572 w1*.182+w2*.818 f left .005516 .008926
2868 63.10692 w1*.179+w2*.821 f left .005511 .008917
2896 62.80187 w1*.175+w2*.825 f left .005503 .008905
2908 62.67159 w1*.174+w2*.826 f left .005500 .008900