Collection VI

Pisano Periods Primes no. 3

Casey Mongoven

March 21, 2008

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Catalogue Entry B803 & 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: 19.981 seconds
note value: .053 seconds
orientation: ascending
temperament: phi^18 + 1
lowest frequency: 99.7 Hz    highest frequency: 241.5308986 Hz   
number of unique frequencies: 346
synthesis technique: wavetable
wave: wave one to wave two
wave one source: Sperrhake harpsichord plucked with finger, D4 (A = 415 Hz)
wave two source: pitch pipe, D4 (A = 440 Hz)
dynamic: mp to f
simulated spatial location: right to left
delay: .002 to -.002
attack: .006 to .0055 (roll-off .0000001)
release: .0097 to .0089 (roll-off .0000002)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
3 99.70000 w1*.814+w2*.186 mp right .006000 .009700
8 99.78631 w1*.814+w2*.186 mp right .005999 .009699
10 99.82085 w1*.814+w2*.186 mp right .005999 .009698
14 99.88997 w1*.813+w2*.187 mp right .005998 .009698
16 99.92455 w1*.813+w2*.187 mp right .005998 .009697
18 99.95914 w1*.813+w2*.187 mp right .005998 .009697
20 99.99374 w1*.813+w2*.187 mp right .005998 .009697
22 100.0284 w1*.813+w2*.187 mp right .005998 .009697
26 100.0976 w1*.812+w2*.188 mp right .005997 .009696
28 100.1323 w1*.812+w2*.188 mp right .005997 .009696
30 100.1669 w1*.812+w2*.188 mp right .005997 .009695
32 100.2016 w1*.812+w2*.188 mp right .005997 .009695
36 100.2710 w1*.812+w2*.188 mp right .005996 .009694
40 100.3404 w1*.811+w2*.189 mp right .005996 .009694
42 100.3752 w1*.811+w2*.189 mp right .005996 .009693
44 100.4099 w1*.811+w2*.189 mp right .005995 .009693
46 100.4447 w1*.811+w2*.189 mp right .005995 .009693
48 100.4794 w1*.811+w2*.189 mp right .005995 .009692
50 100.5142 w1*.811+w2*.189 mp right .005995 .009692
52 100.5490 w1*.81+w2*.19 mp right .005995 .009692
56 100.6186 w1*.81+w2*.19 mp right .005994 .009691
58 100.6535 w1*.81+w2*.19 mp right .005994 .009691
60 100.6883 w1*.81+w2*.19 mp right .005994 .009691
64 100.7580 w1*.809+w2*.191 mp right .005994 .009690
68 100.8278 w1*.809+w2*.191 mp right .005993 .009689
70 100.8627 w1*.809+w2*.191 mp right .005993 .009689
72 100.8976 w1*.809+w2*.191 mp right .005993 .009689
76 100.9675 w1*.808+w2*.192 mp right .005992 .009688
78 101.0025 w1*.808+w2*.192 mp right .005992 .009688
80 101.0374 w1*.808+w2*.192 mp right .005992 .009687
84 101.1074 w1*.808+w2*.192 mp right .005992 .009687
88 101.1774 w1*.807+w2*.193 mp right .005991 .009686
90 101.2124 w1*.807+w2*.193 mp right .005991 .009686
96 101.3176 w1*.806+w2*.194 mp right .005990 .009685
102 101.4228 w1*.806+w2*.194 mp right .005990 .009684
108 101.5282 w1*.805+w2*.195 mp right .005989 .009683
110 101.5633 w1*.805+w2*.195 mp right .005989 .009683
114 101.6337 w1*.805+w2*.195 mp right .005989 .009682
118 101.7040 w1*.804+w2*.196 mp right .005988 .009682
120 101.7392 w1*.804+w2*.196 mp right .005988 .009681
124 101.8097 w1*.804+w2*.196 mp right .005988 .009681
126 101.8449 w1*.804+w2*.196 mp right .005987 .009680
128 101.8802 w1*.803+w2*.197 mp right .005987 .009680
130 101.9155 w1*.803+w2*.197 mp right .005987 .009680
136 102.0213 w1*.802+w2*.198 mp right .005986 .009679
138 102.0567 w1*.802+w2*.198 mp right .005986 .009678
148 102.2334 w1*.801+w2*.199 mp right .005985 .009677
160 102.4460 w1*.8+w2*.2 mp right .005984 .009675
168 102.5879 w1*.799+w2*.201 mp right .005983 .009674
174 102.6945 w1*.798+w2*.202 mp right .005983 .009673
176 102.7300 w1*.798+w2*.202 mp right .005983 .009672
178 102.7656 w1*.798+w2*.202 mp right .005982 .009672
190 102.9792 w1*.797+w2*.203 mp right .005981 .009670
192 103.0148 w1*.796+w2*.204 mp right .005981 .009670
196 103.0862 w1*.796+w2*.204 mp right .005981 .009669
198 103.1219 w1*.796+w2*.204 mp right .005980 .009669
200 103.1576 w1*.795+w2*.205 mp right .005980 .009669
202 103.1933 w1*.795+w2*.205 mp right .005980 .009668
206 103.2647 w1*.795+w2*.205 mp right .005980 .009668
208 103.3005 w1*.794+w2*.206 mp right .005979 .009667
212 103.3720 w1*.794+w2*.206 mp right .005979 .009667
220 103.5152 w1*.793+w2*.207 mp right .005978 .009666
228 103.6586 w1*.792+w2*.208 mp right .005978 .009664
230 103.6945 w1*.792+w2*.208 mp right .005977 .009664
232 103.7304 w1*.792+w2*.208 mp right .005977 .009664
236 103.8022 w1*.791+w2*.209 mp right .005977 .009663
238 103.8382 w1*.791+w2*.209 mp right .005977 .009663
240 103.8741 w1*.791+w2*.209 mp right .005976 .009662
250 104.0540 w1*.789+w2*.211 mp right .005975 .009661
254 104.1261 w1*.789+w2*.211 mp right .005975 .009660
256 104.1621 w1*.789+w2*.211 mp right .005975 .009660
262 104.2703 w1*.788+w2*.212 mp right .005974 .009659
268 104.3787 w1*.787+w2*.213 mp right .005974 .009658
270 104.4148 w1*.787+w2*.213 mp right .005973 .009658
276 104.5233 w1*.786+w2*.214 mp right .005973 .009657
302 104.9946 w1*.783+w2*.217 mp right .005970 .009653
310 105.1401 w1*.782+w2*.218 mp right .005969 .009651
316 105.2493 w1*.781+w2*.219 mp right .005969 .009651
322 105.3587 w1*.78+w2*.22 mp right .005968 .009650
324 105.3951 w1*.78+w2*.22 mp right .005968 .009649
328 105.4681 w1*.779+w2*.221 mp right .005968 .009649
336 105.6142 w1*.778+w2*.222 mp right .005967 .009647
348 105.8338 w1*.777+w2*.223 mp right .005966 .009646
356 105.9804 w1*.775+w2*.225 mp right .005965 .009644
358 106.0171 w1*.775+w2*.225 mp right .005965 .009644
374 106.3110 w1*.773+w2*.227 mp right .005963 .009641
376 106.3478 w1*.773+w2*.227 mp right .005963 .009641
378 106.3847 w1*.772+w2*.228 mp right .005963 .009641
380 106.4215 w1*.772+w2*.228 mp right .005963 .009641
388 106.5689 w1*.771+w2*.229 mp right .005962 .009639
390 106.6058 w1*.771+w2*.229 mp right .005962 .009639
396 106.7166 w1*.77+w2*.23 mp right .005961 .009638
398 106.7535 w1*.77+w2*.23 mp right .005961 .009638
408 106.9384 w1*.768+w2*.232 mp right .005960 .009636
410 106.9754 w1*.768+w2*.232 mp right .005960 .009636
418 107.1236 w1*.767+w2*.233 mp right .005959 .009635
424 107.2349 w1*.766+w2*.234 mp right .005958 .009634
426 107.2720 w1*.766+w2*.234 mp right .005958 .009633
430 107.3463 w1*.765+w2*.235 mp right .005958 .009633
438 107.4950 w1*.764+w2*.236 mp right .005957 .009631
448 107.6812 w1*.763+w2*.237 mp right .005956 .009630
452 107.7558 w1*.762+w2*.238 mp right .005956 .009629
456 107.8304 w1*.762+w2*.238 mp right .005955 .009629
460 107.9051 w1*.761+w2*.239 mp right .005955 .009628
470 108.0920 w1*.76+w2*.24 mp right .005954 .009626
478 108.2417 w1*.759+w2*.241 mp right .005953 .009625
490 108.4667 w1*.757+w2*.243 mp right .005952 .009623
496 108.5794 w1*.756+w2*.244 mp right .005951 .009622
498 108.6170 w1*.756+w2*.244 mp right .005951 .009622
510 108.8428 w1*.754+w2*.246 mp right .005950 .009620
516 108.9559 w1*.753+w2*.247 mp right .005949 .009619
518 108.9936 w1*.753+w2*.247 mp right .005949 .009619
526 109.1446 w1*.752+w2*.248 mp right .005948 .009618
530 109.2202 w1*.751+w2*.249 mp right .005948 .009617
554 109.6747 w1*.748+w2*.252 mp right .005946 .009613
556 109.7127 w1*.747+w2*.253 mp right .005945 .009613
566 109.9027 w1*.746+w2*.254 mp right .005944 .009611
568 109.9408 w1*.745+w2*.255 mp right .005944 .009611
570 109.9788 w1*.745+w2*.255 mp right .005944 .009611
588 110.3220 w1*.743+w2*.257 mp right .005942 .009608
598 110.5130 w1*.741+w2*.259 mp right .005941 .009606
600 110.5513 w1*.741+w2*.259 mp right .005941 .009606
614 110.8195 w1*.739+w2*.261 mp right .005940 .009604
624 111.0114 w1*.737+w2*.263 mp right .005939 .009602
628 111.0883 w1*.737+w2*.263 mp right .005938 .009602
630 111.1267 w1*.736+w2*.264 mp right .005938 .009601
636 111.2422 w1*.735+w2*.265 mp right .005938 .009600
640 111.3192 w1*.735+w2*.265 mp right .005937 .009600
652 111.5506 w1*.733+w2*.267 mp middle right .005936 .009598
658 111.6665 w1*.732+w2*.268 mp middle right .005935 .009597
666 111.8212 w1*.731+w2*.269 mp middle right .005935 .009596
676 112.0149 w1*.729+w2*.271 mp middle right .005934 .009594
680 112.0925 w1*.729+w2*.271 mp middle right .005933 .009594
700 112.4811 w1*.726+w2*.274 mp middle right .005931 .009590
704 112.5590 w1*.725+w2*.275 mp middle right .005931 .009590
718 112.8320 w1*.723+w2*.277 mp middle right .005930 .009588
732 113.1057 w1*.721+w2*.279 mp middle right .005928 .009585
736 113.1840 w1*.72+w2*.28 mp middle right .005928 .009585
738 113.2232 w1*.72+w2*.28 mp middle right .005928 .009585
746 113.3801 w1*.719+w2*.281 mp middle right .005927 .009583
748 113.4193 w1*.719+w2*.281 mp middle right .005927 .009583
750 113.4586 w1*.718+w2*.282 mp middle right .005926 .009583
760 113.6551 w1*.717+w2*.283 mp middle right .005925 .009581
768 113.8126 w1*.715+w2*.285 mp middle right .005925 .009580
774 113.9308 w1*.715+w2*.285 mp middle right .005924 .009579
790 114.2467 w1*.712+w2*.288 mp middle right .005923 .009576
796 114.3654 w1*.711+w2*.289 mp middle right .005922 .009575
810 114.6428 w1*.709+w2*.291 mp middle right .005921 .009573
812 114.6825 w1*.709+w2*.291 mp middle right .005920 .009573
816 114.7619 w1*.708+w2*.292 mp middle right .005920 .009572
820 114.8414 w1*.708+w2*.292 mp middle right .005920 .009572
834 115.1200 w1*.705+w2*.295 mp middle right .005918 .009569
838 115.1997 w1*.705+w2*.295 mp middle right .005918 .009569
852 115.4791 w1*.703+w2*.297 mp middle right .005916 .009567
854 115.5191 w1*.702+w2*.298 mp middle right .005916 .009566
868 115.7993 w1*.7+w2*.3 mp middle right .005915 .009564
870 115.8394 w1*.7+w2*.3 mp middle right .005915 .009564
872 115.8795 w1*.7+w2*.3 mp middle right .005915 .009564
888 116.2008 w1*.697+w2*.303 mp middle right .005913 .009561
894 116.3215 w1*.696+w2*.304 mp middle right .005912 .009560
916 116.7652 w1*.693+w2*.307 mp middle right .005910 .009557
928 117.0079 w1*.691+w2*.309 mp middle right .005909 .009555
930 117.0484 w1*.691+w2*.309 mp middle right .005909 .009554
936 117.1700 w1*.69+w2*.31 mp middle right .005908 .009554
970 117.8615 w1*.684+w2*.316 mp middle right .005905 .009548
976 117.9839 w1*.683+w2*.317 mp middle right .005904 .009547
1008 118.6391 w1*.679+w2*.321 mp middle right .005901 .009542
1014 118.7624 w1*.678+w2*.322 mp middle right .005901 .009541
1016 118.8035 w1*.677+w2*.323 mp middle right .005900 .009541
1018 118.8446 w1*.677+w2*.323 mp middle right .005900 .009541
1034 119.1741 w1*.674+w2*.326 mp middle right .005899 .009538
1036 119.2154 w1*.674+w2*.326 mp middle right .005898 .009538
1038 119.2567 w1*.674+w2*.326 mp middle right .005898 .009538
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1048 119.4632 w1*.672+w2*.328 mp middle right .005897 .009536
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