Collection VII

Pisano Periods Primes no. 6

Casey Mongoven

May 30, 2008

description of sequence: a(n) = period of Fibonacci sequence mod nth prime
offset: 1
number of members used: 521
number of channels: 2
piece length: 25.008 seconds
note value: .048 seconds
orientation: ascending
temperament: phi^19 + 1
lowest frequency: 100.92 Hz highest frequency: 224.2511288 Hz
number of unique frequencies: 477
synthesis technique: wavetable
wave source: spoken voiceless bilabial plosive (IPA p)
dynamic: ppp to f
simulated spatial location: left to right
delay: -.0015 to .0015
attack: .0063 to .0055 (roll-off .0000001)
release: .0102 to .0089 (roll-off .0000002)
synthesis language used: Csound

integer	frequency	dynamic	s.s.l.	attack	release

3	100.9200	ppp	left	.006300	.010200
8	100.9740			.006299	.010199
10	100.9956			.006299	.010198
14	101.0388			.006298	.010198
16	101.0604			.006298	.010197
18	101.0820			.006298	.010197
20	101.1037			.006298	.010197
22	101.1253			.006297	.010196
26	101.1686			.006297	.010196
28	101.1902			.006297	.010195
30	101.2119			.006297	.010195
32	101.2335			.006296	.010194
34	101.2552			.006296	.010194
36	101.2768			.006296	.010194
40	101.3202			.006296	.010193
42	101.3419			.006295	.010193
44	101.3635			.006295	.010192
46	101.3852			.006295	.010192
48	101.4069			.006295	.010192
50	101.4286			.006294	.010191
52	101.4503			.006294	.010191
56	101.4937			.006294	.010190
58	101.5154			.006294	.010190
60	101.5371			.006293	.010190
64	101.5806			.006293	.010189
68	101.6241			.006293	.010188
70	101.6458			.006292	.010188
72	101.6676			.006292	.010188
76	101.7111			.006292	.010187
78	101.7328			.006291	.010186
80	101.7546			.006291	.010186
84	101.7981			.006291	.010185
88	101.8417			.006290	.010185
90	101.8635			.006290	.010184
96	101.9289			.006290	.010183
100	101.9725			.006289	.010183
102	101.9943			.006289	.010182
108	102.0598			.006288	.010181
110	102.0816			.006288	.010181
114	102.1253			.006288	.010180
118	102.1690			.006287	.010180
120	102.1909			.006287	.010179
124	102.2346			.006287	.010178
126	102.2565			.006286	.010178
128	102.2783			.006286	.010178
130	102.3002			.006286	.010177
136	102.3659			.006285	.010176
138	102.3878			.006285	.010176
148	102.4974			.006284	.010174
160	102.6290			.006283	.010172
162	102.6509			.006282	.010172
164	102.6729			.006282	.010172
168	102.7168			.006282	.010171
174	102.7828			.006281	.010170
176	102.8048			.006281	.010169
178	102.8268			.006281	.010169
190	102.9588			.006279	.010167
192	102.9809			.006279	.010167
194	103.0029			.006279	.010166
196	103.0249			.006279	.010166
198	103.0470			.006279	.010166
200	103.0690			.006278	.010165
202	103.0911			.006278	.010165
206	103.1352			.006278	.010164
208	103.1572			.006278	.010164
212	103.2014			.006277	.010163
220	103.2897			.006276	.010162
228	103.3781			.006275	.010160
230	103.4003			.006275	.010160
232	103.4224			.006275	.010160
236	103.4666			.006275	.010159
238	103.4888			.006274	.010159
240	103.5109			.006274	.010158
250	103.6217			.006273	.010157
254	103.6660			.006273	.010156
256	103.6882			.006272	.010155
262	103.7548			.006272	.010154
268	103.8214			.006271	.010153
270	103.8436			.006271	.010153
276	103.9103			.006270	.010152
302	104.1996			.006267	.010147
310	104.2888			.006267	.010146
316	104.3558			.006266	.010145
322	104.4228			.006265	.010144
324	104.4451			.006265	.010144
328	104.4898			.006265	.010143
336	104.5792			.006264	.010142
348	104.7135			.006263	.010139
356	104.8032			.006262	.010138
358	104.8256			.006261	.010138
374	105.0051			.006260	.010135
376	105.0276			.006260	.010135
378	105.0501			.006259	.010134
380	105.0726			.006259	.010134
388	105.1625			.006258	.010133
390	105.1850			.006258	.010132
396	105.2525			.006257	.010131
398	105.2750			.006257	.010131
408	105.3877			.006256	.010129
410	105.4102			.006256	.010129
416	105.4779			.006255	.010128
418	105.5005			.006255	.010127
424	105.5682			.006254	.010126
426	105.5908			.006254	.010126
430	105.6360			.006254	.010125
438	105.7264			.006253	.010124
448	105.8395			.006252	.010122
452	105.8848			.006251	.010121
456	105.9301			.006251	.010121
460	105.9755			.006251	.010120
470	106.0889			.006249	.010118
478	106.1797			.006249	.010117
490	106.3161			.006247	.010115
496	106.3843			.006247	.010114
498	106.4071			.006246	.010113
510	106.5437			.006245	.010111
516	106.6121			.006245	.010110
518	106.6349			.006244	.010110
520	106.6578			.006244	.010110
526	106.7262			.006243	.010108
530	106.7719			.006243	.010108
532	106.7947			.006243	.010107
554	107.0463			.006240	.010104
556	107.0692			.006240	.010103
566	107.1838			.006239	.010102
568	107.2067			.006239	.010101
570	107.2297			.006239	.010101
588	107.4363			.006237	.010098
598	107.5513			.006236	.010096
600	107.5743			.006236	.010096
614	107.7355			.006234	.010093
624	107.8508			.006233	.010091
628	107.8970			.006233	.010091
630	107.9200			.006232	.010090
636	107.9893			.006232	.010089
640	108.0355			.006231	.010089
650	108.1511			.006230	.010087
652	108.1743			.006230	.010087
658	108.2437			.006229	.010085
666	108.3364			.006228	.010084
676	108.4523			.006227	.010082
680	108.4987			.006227	.010082
682	108.5219			.006227	.010081
700	108.7311			.006225	.010078
704	108.7776			.006224	.010077
718	108.9406			.006223	.010075
732	109.1039			.006221	.010073
736	109.1505			.006221	.010072
738	109.1739			.006221	.010072
746	109.2673			.006220	.010070
748	109.2907			.006220	.010070
750	109.3141			.006219	.010069
760	109.4311			.006218	.010068
762	109.4545			.006218	.010067
768	109.5248			.006218	.010066
774	109.5951			.006217	.010065
790	109.7828			.006215	.010062
796	109.8533			.006215	.010061
810	110.0179			.006213	.010059
812	110.0414			.006213	.010059
816	110.0885			.006212	.010058
820	110.1356			.006212	.010057
834	110.3007			.006210	.010055
838	110.3479			.006210	.010054
852	110.5132			.006209	.010052
854	110.5369			.006208	.010051
864	110.6552			.006207	.010050
868	110.7025			.006207	.010049
870	110.7262			.006207	.010049
872	110.7499			.006206	.010048
886	110.9158			.006205	.010046
888	110.9396			.006205	.010045
894	111.0108			.006204	.010044
896	111.0345			.006204	.010044
916	111.2723			.006202	.010041
928	111.4152			.006200	.010038
930	111.4391			.006200	.010038
936	111.5106			.006200	.010037
970	111.9168			.006196	.010031
976	111.9887			.006195	.010030
1008	112.3726			.006192	.010025
1014	112.4448			.006191	.010023
1016	112.4688			.006191	.010023
1018	112.4929			.006191	.010023
1034	112.6856			.006189	.010020
1036	112.7097			.006189	.010020
1038	112.7338			.006189	.010019
1044	112.8062			.006188	.010018
1048	112.8544			.006188	.010018
1050	112.8786			.006187	.010017
1090	113.3625			.006183	.010010
1096	113.4353			.006182	.010009
1110	113.6053			.006181	.010007
1128	113.8242			.006179	.010004
1130	113.8486			.006179	.010003
1156	114.1656			.006176	.009999
1166	114.2878			.006175	.009997
1170	114.3367			.006174	.009996
1176	114.4101			.006174	.009995
1180	114.4591			.006173	.009995
1188	114.5570			.006173	.009993
1200	114.7042			.006171	.009991
1210	114.8269			.006170	.009989
1216	114.9006			.006170	.009988
1220	114.9498			.006169	.009988
1228	115.0482			.006168	.009986
1236	115.1467			.006167	.009985
1252	115.3439			.006166	.009982
1258	115.4180			.006165	.009981
1276	115.6404			.006163	.009978
1288	115.7889			.006162	.009976
1296	115.8880			.006161	.009974
1300	115.9376			.006161	.009974
1308	116.0368			.006160	.009972
1310	116.0617			.006159	.009972
1316	116.1362			.006159	.009971
1318	116.1610			.006159	.009971
1320	116.1859			.006158	.009970
1348	116.5344			.006155	.009965
1352	116.5842			.006155	.009965
1368	116.7839			.006153	.009962
1398	117.1592			.006150	.009957
1400	117.1843			.006150	.009956
1428	117.5358			.006147	.009951
1430	117.5609			.006147	.009951
1438	117.6615			.006146	.009950
1450	117.8127			.006144	.009948
1456	117.8883			.006144	.009946
1458	117.9135			.006144	.009946
1468	118.0397			.006143	.009944
1480	118.1913			.006141	.009942
1488	118.2925			.006140	.009941
1492	118.3431			.006140	.009940
1496	118.3937			.006140	.009940
1498	118.4191			.006139	.009939
1512	118.5965			.006138	.009937
1516	118.6473			.006137	.009936
1530	118.8251			.006136	.009934
1544	119.0031			.006134	.009931
1548	119.0541			.006134	.009930
1556	119.1560			.006133	.009929
1558	119.1815			.006133	.009929
1570	119.3345			.006132	.009927
1576	119.4111			.006131	.009926
1584	119.5133			.006130	.009924
1608	119.8205			.006128	.009920
1618	119.9488			.006126	.009918
1632	120.1285			.006125	.009916
1648	120.3343			.006123	.009913
1650	120.3600			.006123	.009913
1656	120.4373			.006122	.009912
1694	120.9278			.006118	.009905
1708	121.1090			.006117	.009903
1716	121.2127			.006116	.009901
1728	121.3683			.006115	.009899
1730	121.3943			.006114	.009899
1756	121.7323			.006112	.009894
1758	121.7584			.006111	.009894
1768	121.8887			.006110	.009892
1776	121.9930			.006109	.009891
1790	122.1758			.006108	.009888
1792	122.2020			.006108	.009888
1800	122.3066			.006107	.009887
1810	122.4375			.006106	.009885
1816	122.5161			.006105	.009884
1830	122.6997			.006104	.009881
1836	122.7784			.006103	.009880
1852	122.9887			.006101	.009878
1876	123.3048			.006099	.009873
1878	123.3312			.006099	.009873
1888	123.4632			.006097	.009871
1896	123.5689			.006097	.009870
1900	123.6218			.006096	.009869
1930	124.0191			.006093	.009864
1948	124.2581			.006091	.009861
1968	124.5242			.006089	.009857
1978	124.6574			.006088	.009856
1996	124.8976