Collection XI

Entry Points and Pisano Periods no. 2

Casey Mongoven

November 3, 2011

Parameters  Sequence Values  Graph
classification of work:audio
synthesis engine:Csound  show Csound orchestra
synthesis technique:granular synthesis with resonance filter
description of sequences sonified:
A001177 index of lowest Fibonacci number that n divides 610 members used
A001175 period of Fibonacci sequence mod n 610 members used
global static parameters:
offset:1
pitch orientation:ascending
temperament:phi^15 + 1
number of channels:2
note value:0.17 seconds
piece length:103.7 seconds
grain:cutting board four
filter bandwidth:11% of resonance frequency
global and individual dynamic parameters:
A001177
integer resonance center frequency Hzdynamic simulated location degrees
1211.000000ppp-1.013
3211.309497ppp-1.046
4211.464416ppp-1.062
5211.619449ppp-1.078
6211.774595ppp-1.094
7211.929855ppp-1.110
8212.085229ppp-1.127
9212.240716ppp-1.143
10212.396318ppp-1.159
11212.552033ppp-1.175
12212.707863ppp-1.192
13212.863807ppp-1.208
14213.019866ppp-1.224
15213.176039ppp-1.240
16213.332326ppp-1.256
18213.645244ppp-1.289
19213.801876ppp-1.305
20213.958622ppp-1.321
21214.115483ppp-1.337
22214.272459ppp-1.354
24214.586757ppp-1.386
25214.744078ppp-1.402
26214.901515ppp-1.419
27215.059067ppp-1.435
28215.216735ppp-1.451
30215.532418ppp-1.483
31215.690433ppp-1.500
33216.006810ppp-1.532
35216.323652ppp-1.564
36216.482247ppp-1.581
37216.640958ppp-1.597
39216.958729ppp-1.629
40217.117790ppp-1.646
42217.436261ppp-1.678
44217.755199ppp-1.710
45217.914844ppp-1.727
46218.074605ppp-1.743
48218.394480ppp-1.775
49218.554593ppp-1.791
50218.714824ppp-1.808
54219.356921ppp-1.873
55219.517740ppp-1.889
56219.678677ppp-1.905
57219.839731ppp-1.921
58220.000904ppp-1.937
59220.162195ppp-1.954
60220.323604ppp-1.970
63220.808542ppp-2.018
66221.294547ppp-2.067
67221.456787ppp-2.083
68221.619145ppp-2.100
69221.781622ppp-2.116
70221.944218ppp-2.132
72222.269769ppp-2.164
75222.758990ppp-2.213
76222.922303ppp-2.229
78223.249289ppp-2.262
79223.412961ppp-2.278
80223.576753ppp-2.294
84224.233125ppp-2.359
87224.726667ppp-2.408
88224.891423ppp-2.424
90225.221296ppp-2.456
91225.386415ppp-2.472
92225.551654ppp-2.489
95226.048099ppp-2.537
96226.213823ppp-2.554
97226.379669ppp-2.570
99226.711725ppp-2.602
100226.877936ppp-2.618
104227.543999ppp-2.683
105227.710820ppp-2.699
108228.212017ppp-2.748
110228.546762ppp-2.781
111228.714318ppp-2.797
114229.217724ppp-2.845
116229.553943ppp-2.878
120230.227862ppp-2.943
125231.073044ppp-3.024
126231.242452ppp-3.040
128231.581641ppp-3.072
129231.751423ppp-3.089
130231.921328ppp-3.105
132232.261513ppp-3.137
133232.431793ppp-3.153
135232.772727ppp-3.186
136232.943381ppp-3.202
138233.285065ppp-3.235
139233.456095ppp-3.251
140233.627251ppp-3.267
147234.828857ppp-3.381
148235.001019ppp-3.397
150235.345721ppp-3.429
152235.690929ppp-3.462
153235.863723ppp-3.478
156236.382865ppp-3.526
157236.556166ppp-3.543
159236.903150ppp-3.575
164237.772837ppp-3.656
168238.470885ppp-3.721
169238.645717ppp-3.737
174239.521801ppp-3.818
175239.697403pp-3.835
178240.224983pp-3.883
180240.577348pp-3.916
185241.460524pp-3.997
187241.814701pp-4.029
188241.991984pp-4.045
190242.346941pp-4.078
192242.702419pp-4.110
196243.414939pp-4.175
199243.950701pp-4.224
200244.129550pp-4.240
201244.308531pp-4.256
204244.846260pp-4.305
210245.925272pp-4.402
216247.009039pp-4.499
217247.190130pp-4.516
220247.734202pp-4.564
222248.097582pp-4.597
224248.461494pp-4.629
225248.643651pp-4.645
228249.190922pp-4.694
229249.373613pp-4.710
232249.922490pp-4.759
237250.839972pp-4.840
238251.023873pp-4.856
240251.392077pp-4.888
245252.314954pp-4.970
250253.241219pp-5.051
252253.612677pp-5.083
254253.984679pp-5.115
260255.103963pp-5.213
264255.852891pp-5.278
270256.980407pp-5.375
273257.546028pp-5.424
276258.112893pp-5.472
280258.870655pp-5.537
284259.630641pp-5.602
285259.820986pp-5.618
289260.583762pp-5.683
290260.774806pp-5.699
291260.965990pp-5.715
294261.540383pp-5.764
296261.924013pp-5.796
297262.116040pp-5.813
300262.692964pp-5.861
308264.237643pp-5.991
310264.625230pp-6.023
312265.013386pp-6.056
316265.791406pp-6.121
324267.354305pp-6.250
330268.532507pp-6.348
340270.507727pp-6.510
342270.904511pp-6.542
348272.098359pp-6.640
356273.698344pp-6.769
358274.099808pp-6.802
360274.501861pp-6.834
364275.307737pp-6.899
368276.115979pp-6.964
375277.536116pp-7.077
378278.146980pp-7.126
380278.554970pp-7.159
384279.372745pp-7.223
388280.192920pp-7.288
390280.603911pp-7.321
392281.015504pp-7.353
396281.840503pp-7.418
417286.211648pp-7.758
418286.421480pp-7.775
420286.841607pp-7.807
430288.951501pp-7.969
438290.650586pp-8.099
444291.931452pp-8.196
450293.217963pp-8.294
456294.510144pp-8.391
464296.241914pp-8.521
468297.111614pp-8.585
478299.297051pp-8.748
488301.498563pp-8.910
490301.940805pp-8.942
492302.383695pp-8.975
498303.716268pp-9.072
500304.161763pp-9.104
504305.054714pp-9.169
520308.652810pp-9.429
524309.558945p-9.493
534311.835940p-9.656
540313.210168p-9.753
548315.051897p-9.883
552315.976819p-9.947
570320.172686p-10.239
588324.424269p-10.531
598326.810607p-10.693
600327.289977p-10.726
608329.214498p-10.855
660342.002719p-11.699
672345.023701p-11.893
714355.808834p-12.574
750365.321169p-13.158
840390.229519p-14.617
852393.676498p-14.812
870398.904141p-15.104
A001175
integer resonance center frequency Hzdynamic simulated location degrees
1211.000000ppp29.210
3211.309497ppp29.178
6211.774595ppp29.129
8212.085229ppp29.097
10212.396318ppp29.065
12212.707863ppp29.032
14213.019866ppp29.000
16213.332326ppp28.967
18213.645244ppp28.935
20213.958622ppp28.902
22214.272459ppp28.870
24214.586757ppp28.838
26214.901515ppp28.805
28215.216735ppp28.773
30215.532418ppp28.740
32215.848564ppp28.708
36216.482247ppp28.643
40217.117790ppp28.578
42217.436261ppp28.546
44217.755199ppp28.513
46218.074605ppp28.481
48218.394480ppp28.448
50218.714824ppp28.416
52219.035637ppp28.383
56219.678677ppp28.319
58220.000904ppp28.286
60220.323604ppp28.254
66221.294547ppp28.156
70221.944218ppp28.092
72222.269769ppp28.059
76222.922303ppp27.994
78223.249289ppp27.962
80223.576753ppp27.929
84224.233125ppp27.865
88224.891423ppp27.800
90225.221296ppp27.767
96226.213823ppp27.670
100226.877936ppp27.605
108228.212017ppp27.475
110228.546762ppp27.443
112228.881997ppp27.411
114229.217724ppp27.378
120230.227862ppp27.281
124230.903760ppp27.216
126231.242452ppp27.184
130231.921328ppp27.119
132232.261513ppp27.086
136232.943381ppp27.021
138233.285065ppp26.989
140233.627251ppp26.957
144234.313128ppp26.892
148235.001019ppp26.827
150235.345721ppp26.794
152235.690929ppp26.762
156236.382865ppp26.697
160237.076832ppp26.632
168238.470885ppp26.503
174239.521801ppp26.405
176239.873134pp26.373
178240.224983pp26.340
180240.577348pp26.308
184241.283630pp26.243
190242.346941pp26.146
192242.702419pp26.113
196243.414939pp26.049
200244.129550pp25.984
208245.565074pp25.854
210245.925272pp25.822
216247.009039pp25.724
220247.734202pp25.659
228249.190922pp25.530
232249.922490pp25.465
236250.656207pp25.400
238251.023873pp25.368
240251.392077pp25.335
250253.241219pp25.173
252253.612677pp25.141
254253.984679pp25.108
256254.357227pp25.076
264255.852891pp24.946
268256.604018pp24.881
270256.980407pp24.849
272257.357350pp24.816
276258.112893pp24.751
280258.870655pp24.687
296261.924013pp24.427
300262.692964pp24.362
304263.464171pp24.297
310264.625230pp24.200
312265.013386pp24.168
316265.791406pp24.103
328268.139197pp23.908
330268.532507pp23.876
336269.715902pp23.779
342270.904511pp23.681
348272.098359pp23.584
358274.099808pp23.422
360274.501861pp23.389
364275.307737pp23.325
376277.739588pp23.130
378278.146980pp23.098
380278.554970pp23.065
384279.372745pp23.000
388280.192920pp22.935
390280.603911pp22.903
392281.015504pp22.871
396281.840503pp22.806
400282.667923pp22.741
408284.330059pp22.611
418286.421480pp22.449
420286.841607pp22.417
430288.951501pp22.254
432289.375339pp22.222
438290.650586pp22.125
440291.076915pp22.092
444291.931452pp22.027
448292.788498pp21.962
456294.510144pp21.833
464296.241914pp21.703
478299.297051pp21.476
480299.736064pp21.444
490301.940805pp21.281
498303.716268pp21.152
500304.161763pp21.119
504305.054714pp21.054
516307.749327pp20.860
520308.652810pp20.795
528310.467741p20.665
532311.379205p20.600
534311.835940p20.568
540313.210168p20.471
552315.976819p20.276
556316.904457p20.211
560317.834817p20.146
568319.703740p20.017
570320.172686p19.984
580322.527751p19.822
588324.424269p19.692
592325.376706p19.628
598326.810607p19.530
600327.289977p19.498
612330.180998p19.303
616331.150336p19.238
624333.097556p19.109
628334.075456p19.044
632335.056227p18.979
636336.039877p18.914
648339.008188p18.720
676346.036613p18.266
680347.052499p18.201
696351.145956p17.941
700352.176841p17.876
712355.287694p17.682
714355.808834p17.649
720357.376846p17.552
728359.478283p17.422
736361.592077p17.293
740362.653631p17.228
748364.786096p17.098
750365.321169p17.066
760368.008328p16.904
768370.172280p16.774
776372.348957p16.644
780373.442090p16.579
784374.538432p16.514
792376.740783p16.385
796377.846809p16.320
804380.068613p16.190
840390.229519p15.606
868398.319880p15.152
888404.201202mp14.828
900407.771596mp14.633
912411.373528mp14.439
916412.581229mp14.374
928416.225646mp14.179
936418.673124mp14.050
948422.371352mp13.855
976431.128088mp13.401
980432.393784mp13.336
984433.663195mp13.271
1000438.778218mp13.012
1008441.358309mp12.882
1040451.831282mp12.363
1048454.488127mp12.234
1080465.272657mp11.715
1092469.382508mp11.520
1096470.760510mp11.455
1104473.528662mp11.326
1140486.188166mp10.742
1156491.922716mp10.483
1164494.815306mp10.353
1176499.186114mp10.158
1188503.595530mp9.964
1200508.043895mp9.769
1216514.036231mp9.510
1320554.746975mf7.823
1344564.590653mf7.434
1500632.973462mf4.905
1668715.907136f2.181
1680722.230894f1.986
1704735.046481f1.597
1740754.697506f1.013