Collection VI

Unique Residues Primes no. 1

Casey Mongoven

February 10, 2008

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: 22.997 seconds
note value: .061 seconds
orientation: descending
temperament: phi^14 + 1
lowest frequency: 70.5624243 Hz highest frequency: 693 Hz
number of unique frequencies: 318
synthesis technique: stretched samples
wave source: Sperrhake harpsichord buff stop fingernail pluck, F#5 (A = 415 Hz)
dynamic: f to p
simulated spatial location: right to left
delay: .0022 to -.0022
attack: .0055 to .006 (roll-off -.0000003)
release: .0089 to .0097 (roll-off -.0000004)
synthesis language used: Csound
comment: combination natural/artificial attack

integer	frequency	dynamic	s.s.l.	attack	release

2	693.0000	f	right	.005500	.008900
3	692.1789			.005500	.008900
5	690.5396			.005500	.008901
7	688.9043			.005501	.008902
9	687.2728			.005501	.008902
10	686.4584			.005502	.008903
12	684.8327			.005502	.008904
13	684.0213			.005502	.008904
15	682.4014			.005503	.008905
16	681.5928			.005503	.008905
17	680.7853			.005503	.008906
19	679.1730			.005504	.008907
21	677.5645			.005504	.008907
25	674.3590			.005505	.008909
27	672.7619			.005506	.008910
29	671.1687			.005507	.008911
30	670.3734			.005507	.008911
31	669.5792			.005507	.008912
33	667.9934			.005508	.008912
34	667.2020			.005508	.008913
35	666.4114			.005508	.008913
37	664.8332			.005509	.008914
39	663.2587			.005509	.008915
43	660.1209			.005510	.008917
44	659.3387			.005510	.008917
45	658.5575			.005511	.008917
49	655.4419			.005512	.008919
51	653.8897			.005512	.008920
52	653.1149			.005512	.008920
57	649.2549			.005514	.008922
61	646.1833			.005515	.008924
62	645.4177			.005515	.008924
63	644.6530			.005515	.008925
65	643.1263			.005516	.008926
69	640.0837			.005517	.008927
74	636.3007			.005518	.008929
78	633.2904			.005519	.008931
79	632.5401			.005519	.008931
80	631.7906			.005520	.008932
81	631.0420			.005520	.008932
82	630.2944			.005520	.008933
85	628.0566			.005521	.008934
87	626.5692			.005522	.008935
92	622.8661			.005523	.008937
93	622.1281			.005523	.008937
97	619.1849			.005524	.008939
100	616.9866			.005525	.008940
103	614.7961			.005526	.008941
105	613.3401			.005526	.008942
107	611.8875			.005527	.008943
109	610.4384			.005527	.008944
112	608.2712			.005528	.008945
113	607.5505			.005528	.008946
119	603.2442			.005530	.008948
120	602.5294			.005530	.008948
123	600.3903			.005531	.008950
127	597.5499			.005532	.008951
129	596.1347			.005532	.008952
137	590.5075			.005535	.008956
142	587.0175			.005536	.008958
144	585.6273			.005536	.008958
145	584.9334			.005537	.008959
148	582.8567			.005537	.008960
149	582.1661			.005538	.008961
153	579.4120			.005539	.008962
157	576.6708			.005540	.008964
165	571.2273			.005542	.008967
169	568.5249			.005543	.008969
171	567.1785			.005543	.008970
173	565.8352			.005544	.008970
175	564.4952			.005544	.008971
179	561.8246			.005545	.008973
185	557.8424			.005547	.008975
189	555.2033			.005548	.008977
192	553.2322			.005549	.008978
193	552.5767			.005549	.008979
194	551.9220			.005549	.008979
195	551.2680			.005550	.008980
197	549.9625			.005550	.008980
203	546.0643			.005552	.008983
213	539.6288			.005554	.008987
217	537.0758			.005555	.008989
221	534.5350			.005556	.008990
224	532.6372			.005557	.008992
227	530.7462			.005558	.008993
229	529.4892			.005558	.008994
233	526.9842			.005559	.008995
234	526.3599			.005560	.008996
237	524.4911			.005560	.008997
249	517.0823			.005564	.009002
251	515.8577			.005564	.009003
262	509.1741			.005567	.009007
263	508.5708			.005567	.009008
269	504.9661			.005569	.009010
274	501.9817			.005570	.009012
277	500.1995			.005571	.009014
283	496.6541			.005572	.009016
288	493.7188			.005574	.009018
289	493.1338			.005574	.009019
293	490.8008			.005575	.009020
295	489.6385			.005576	.009021
299	487.3220			.005577	.009023
303	485.0165			.005578	.009024
305	483.8679			.005578	.009025
307	482.7220			.005579	.009026
308	482.1500			.005579	.009027
312	479.8690			.005580	.009028
317	477.0329			.005581	.009030
319	475.9032			.005582	.009031
322	474.2136			.005583	.009032
331	469.1807			.005585	.009036
333	468.0695			.005585	.009037
345	461.4577			.005589	.009042
349	459.2746			.005590	.009044
351	458.1869			.005590	.009044
352	457.6440			.005590	.009045
353	457.1018			.005591	.009045
357	454.9393			.005592	.009047
365	450.6449			.005594	.009050
367	449.5776			.005594	.009051
371	447.4507			.005595	.009053
374	445.8621			.005596	.009054
377	444.2792			.005597	.009055
379	443.2270			.005597	.009056
380	442.7019			.005598	.009056
381	442.1773			.005598	.009057
393	435.9312			.005601	.009062
394	435.4147			.005601	.009062
400	432.3285			.005603	.009065
401	431.8163			.005603	.009065
403	430.7936			.005604	.009066
411	426.7272			.005606	.009069
412	426.2216			.005606	.009070
425	419.7030			.005609	.009075
433	415.7412			.005611	.009078
441	411.8168			.005613	.009082
449	407.9295			.005615	.009085
457	404.0789			.005618	.009088
459	403.1219			.005618	.009089
462	401.6907			.005619	.009090
469	398.3710			.005621	.009093
471	397.4275			.005621	.009094
473	396.4863			.005622	.009095
481	392.7437			.005624	.009098
483	391.8136			.005624	.009099
487	389.9599			.005625	.009101
491	388.1150			.005626	.009103
493	387.1959			.005627	.009103
497	385.3641			.005628	.009105
509	379.9205			.005631	.009110
513	378.1232			.005632	.009112
517	376.3343			.005633	.009113
524	373.2241			.005635	.009116
529	371.0183			.005636	.009118
530	370.5787			.005637	.009119
531	370.1396			.005637	.009119
533	369.2630			.005637	.009120
535	368.3885			.005638	.009121
537	367.5161			.005638	.009122
547	363.1847			.005641	.009126
558	358.4792			.005644	.009130
560	357.6303			.005644	.009131
565	355.5166			.005646	.009133
573	352.1607			.005648	.009137
575	351.3267			.005648	.009137
577	350.4947			.005649	.009138
579	349.6646			.005649	.009139
581	348.8365			.005650	.009140
589	345.5437			.005652	.009143
590	345.1343			.005652	.009144
591	344.7253			.005652	.009144
597	342.2819			.005654	.009147
601	340.6626			.005655	.009148
607	338.2480			.005656	.009151
613	335.8505			.005658	.009153
615	335.0551			.005659	.009154
619	333.4700			.005660	.009156
621	332.6802			.005660	.009156
629	329.5399			.005662	.009160
633	327.9809			.005663	.009161
637	326.4292			.005664	.009163
642	324.5000			.005666	.009165
643	324.1155			.005666	.009166
649	321.8182			.005667	.009168
655	319.5371			.005669	.009171
657	318.7804			.005669	.009171
663	316.5209			.005671	.009174
667	315.0234			.005672	.009176
673	312.7906			.005674	.009178
681	309.8380			.005676	.009181
682	309.4709			.005676	.009182
683	309.1042			.005676	.009182
693	305.4613			.005679	.009186
695	304.7379			.005679	.009187
697	304.0162			.005680	.009188
703	301.8613			.005681	.009191
709	299.7217			.005683	.009193
710	299.3666			.005683	.009193
711	299.0119			.005683	.009194
713	298.3038			.005684	.009195
732	291.6595			.005689	.009203
733	291.3139			.005689	.009203
739	289.2491			.005691	.009205
745	287.1989			.005692	.009208
749	285.8402			.005693	.009210
777	276.5075			.005701	.009221
783	274.5476			.005702	.009224
787	273.2487			.005703	.009225
799	269.3889			.005706	.009230
824	261.5218			.005713	.009241
829	259.9761			.005714	.009243
837	257.5221			.005716	.009246
841	256.3038			.005717	.009248
843	255.6968			.005718	.009249
849	253.8844			.005719	.009251
857	251.4879			.005721	.009254
873	246.7625			.005726	.009261
874	246.4701			.005726	.009262
889	242.1258			.005730	.009268
891	241.5524			.005730	.009269
897	239.8403			.005732	.009271
899	239.2723			.005732	.009272
907	237.0137			.005734	.009275
912	235.6129			.005736	.009277
925	232.0095			.005739	.009283
929	230.9118			.005740	.009284
933	229.8194			.005741	.009286
937	228.7322			.005742	.009288
957	223.3725			.005747	.009296
963	221.7893			.005749	.009298
973	219.1754			.005751	.009303
974	218.9157			.005752	.009303
979	217.6219			.005753	.009305
982	216.8493			.005754	.009306
997	213.0271			.005758	.009313
1005	211.0162			.005760	.009316
1012	209.2723			.005762	.009319
1025	206.0717			.005765	.009324
1027	205.5837			.005765	.009325
1049	200.2910			.005771	.009334
1053	199.3435			.005772	.009336
1057	198.4004			.005773	.009337
1069	195.5978			.005776	.009342
1087	191.4681			.005781	.009350
1089	191.0146			.005782	.009351
1099	188.7634			.005784	.009355
1117	184.7780			.005789	.009362
1129	182.1678			.005792	.009367
1132	181.5211			.005793	.009369
1144	178.9570			.005796	.009374
1159	175.8027			.005800	.009380
1174	172.7040			.005804	.009386
1177	172.0909			.005804	.009387
1189	169.6599			.005807	.009392
1207	166.0778			.005812	.009400
1213	164.9006			.005814	.009402
1217	164.1205			.005815	.009404
1221	163.3441			.005816	.009406
1237	160.2749			.005820	.009412
1249	158.0109			.005823	.009417
1251	157.6367			.005824	.009418
1253	157.2633			.005824	.009419
1257	156.5193			.005825	.009421
1274	153.3964			.005830	.009428
1289	150.6926			.005833	.009434
1293	149.9797			.005834	.009435
1311	146.8131			.005839	.009443
1312	146.6392			.005839	.009443
1319	145.4273			.005841	.009446
1329	143.7134			.005844	.009450
1332	143.2031			.005845	.009452
1339	142.0196			.005846	.009455
1341	141.6833			.005847	.009455
1353	139.6819			.005850	.009460
1387	134.1635			.005859	.009474
1389	133.8458			.005859	.009475
1401	131.9551			.005863	.009480
1431	127.3445			.005870	.009493
1444	125.3969			.005874	.009498
1457	123.4791			.005877	.009504
1462	122.7493			.005878	.009506
1469	121.7349			.005880	.009509
1491	118.6008			.005886	.009518
1499	117.4813			.005888	.009521
1503	116.9255			.005889	.009523
1507	116.3723			.005890	.009524
1509	116.0967			.005891	.009525
1513	115.5475			.005892	.009527
1517	115.0009			.005893	.009528
1537	112.3062			.005898	.009537
1549	110.7198			.005901	.009542
1563	108.8972			.005905	.009548
1567	108.3821			.005906	.009549
1569	108.1254			.005906	.009550
1582	106.4717			.005909	.009555
1587	105.8425			.005911	.009558
1589	105.5918			.005911	.009558
1594	104.9677			.005913	.009560
1597	104.5951			.005913	.009562
1609	103.1176			.005916	.009567
1612	102.7515			.005917	.009568
1637	99.75079			.005924	.009578
1653	97.87649			.005928	.009585
1709	91.58946			.005942	.009608
1717	90.72490			.005944	.009611
1729	89.44335			.005948	.009616
1733	89.02020			.005949	.009618
1761	86.11367			.005956	.009630
1773	84.89725			.005959	.009635
1777	84.49561			.005960	.009636
1789	83.30205			.005963	.009641
1819	80.39138			.005971	.009654
1849	77.58242			.005979	.009666
1851	77.39868			.005979	.009667
1853	77.21538			.005980	.009668
1879	74.87160			.005987	.009679
1909	72.25551			.005994	.009691
1929	70.56242	p	left	.006000	.009700