Collection XII

Fibonacci and Lucas Transforms A no. 1

Casey Mongoven

January 10, 2012

Parameters  Sequence Values  Graph
classification of work:audio-visual
synthesis engine:Csound  show Csound orchestra
synthesis technique:wavetable with FFT resynthesis
description of sequences sonified:
A105774 define a(1) = 1, then if F(n) < k <= F(n + 1) a(k) = F(n + 1) - a(k - F(n)) where F(n) is the Fibonacci sequence 610 members used
A118287 define a(1) = 1, then if L(n) < k <= L(n + 1) a(k) = L(n + 1) - a(k - L(n)) where L(n) is the Lucas sequence 843 members used
global static parameters:
offset:1
frequency orientation:ascending
temperament:phi^12 + 1
number of channels:2
note duration:0.052 seconds
piece duration:43.836 seconds
wavetable:glottal rattle ten
individual static parameters:
location:
-30°
30°
global dynamic parameters:
A105774 
integer frequency Hzloudness attack srelease s
1204.000000mp0.0055000.008900
2204.633546mp0.0054980.008896
4205.906548mp0.0054930.008888
6207.187469mp0.0054880.008880
7207.830915mp0.0054850.008876
9209.123807mp0.0054800.008868
11210.424742mp0.0054750.008860
12211.078241mp0.0054730.008856
14212.391335mp0.0054680.008847
15213.050942mp0.0054650.008843
17214.376307mp0.0054600.008835
19215.709917mp0.0054550.008827
20216.379830mp0.0054530.008823
22217.725904mp0.0054480.008815
23218.402078mp0.0054450.008811
25219.760732mp0.0054400.008803
27221.127839mp0.0054350.008795
28221.814578mp0.0054330.008791
30223.194461mp0.0054280.008783
32224.582928mp0.0054230.008775
33225.280397mp0.0054200.008771
35226.681840mp0.0054150.008763
36227.385828mp0.0054130.008759
38228.800369mp0.0054080.008750
40230.223710mp0.0054030.008742
41230.938697mp0.0054000.008738
43232.375340mp0.0053950.008730
44233.097010mp0.0053930.008726
46234.547079mp0.0053880.008718
48236.006170mp0.0053830.008710
49236.739115mp0.0053800.008706
51238.211842mp0.0053750.008698
53239.693731mp0.0053700.008690
54240.438128mp0.0053680.008686
56241.933866mp0.0053630.008678
57242.685221mp0.0053600.008674
59244.194938mp0.0053550.008666
61245.714046mp0.0053500.008657
62246.477141mp0.0053480.008653
64248.010447mp0.0053430.008645
66249.553291mp0.0053380.008637
67250.328309mp0.0053350.008633
69251.885572mp0.0053300.008625
70252.667833mp0.0053280.008621
72254.239651mp0.0053230.008613
74255.821246mp0.0053180.008605
75256.615730mp0.0053150.008601
77258.212107mp0.0053100.008593
78259.014016mp0.0053080.008589
80260.625312mp0.0053030.008581
82262.246632mp0.0052980.008573
83263.061070mp0.0052950.008568
85264.697543mp0.0052900.008560
87266.344196mp0.0052850.008552
88267.171360mp0.0052830.008548
90268.833402mp0.0052780.008540
91269.668297mp0.0052750.008536
93271.345872mp0.0052700.008528
95273.033883mp0.0052650.008520
96273.881823mp0.0052630.008516
98275.585610mp0.0052580.008508
100277.299997mp0.0052530.008500
101278.161185mp0.0052500.008496
103279.891594mp0.0052450.008488
104280.760831mp0.0052430.008484
106282.507411mp0.0052380.008476
108284.264858mp0.0052330.008467
109285.147676mp0.0052300.008463
111286.921547mp0.0052250.008455
112287.812616mp0.0052230.008451
114289.603065mp0.0052180.008443
116291.404653mp0.0052130.008435
117292.309645mp0.0052100.008431
119294.128070mp0.0052050.008423
121295.957806mp0.0052000.008415
122296.876939mp0.0051980.008411
124298.723776mp0.0051930.008403
125299.651499mp0.0051900.008399
127301.515596mp0.0051850.008391
129303.391290mp0.0051800.008383
130304.333508mp0.0051780.008378
132306.226732mp0.0051730.008370
133307.177756mp0.0051700.008366
135309.088673mp0.0051650.008358
137311.011478mp0.0051600.008350
138311.977362mp0.0051580.008346
140313.918137mp0.0051530.008338
142315.870986mf0.0051480.008330
143316.851961mf0.0051450.008326
145318.823060mf0.0051400.008318
146319.813204mf0.0051380.008314
148321.802725mf0.0051330.008306
150323.804623mf0.0051280.008298
151324.810237mf0.0051250.008294
153326.830844mf0.0051200.008285
155328.864021mf0.0051150.008277
156329.885348mf0.0051130.008273
158331.937526mf0.0051080.008265
159332.968398mf0.0051050.008261
161335.039756mf0.0051000.008253
163337.124000mf0.0050950.008245
164338.170979mf0.0050930.008241
166340.274702mf0.0050880.008233
167341.331466mf0.0050850.008229
169343.454849mf0.0050800.008221
171345.591443mf0.0050760.008213
172346.664718mf0.0050730.008209
174348.821280mf0.0050680.008201
176350.991257mf0.0050630.008193
177352.081302mf0.0050610.008188
179354.271559mf0.0050560.008180
180355.371792mf0.0050530.008176
182357.582519mf0.0050480.008168
184359.806999mf0.0050430.008160
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187363.169692mf0.0050360.008148
189365.428929mf0.0050310.008140
190366.563812mf0.0050280.008136
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193369.989653mf0.0050210.008124
195372.291316mf0.0050160.008116
197374.607298mf0.0050110.008108
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232417.550934mf0.0049230.007966
234420.148471mf0.0049180.007958
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240428.038436mf0.0049030.007934
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244433.380557mf0.0048930.007918
245434.726472mf0.0048910.007914
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266463.976540mf0.0048380.007829
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269468.312784mf0.0048310.007817
271471.226104mf0.0048260.007808
273474.157547mf0.0048210.007800
274475.630100mf0.0048180.007796
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279483.061749mf0.0048060.007776
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342587.276275mf0.0046490.007521
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373646.530516mf0.0045710.007396
375650.552507mf0.0045660.007388
376652.572876mf0.0045640.007384
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379658.671708mf0.0045560.007372
381662.769229mf0.0045510.007364
383666.892240mf0.0045460.007356
384668.963354mf0.0045440.007352
386673.124898mf0.0045390.007344
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389679.415805mf0.0045310.007331
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421750.289521mf0.0044510.007202
423754.956986f0.0044460.007194
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430771.522957f0.0044290.007166
431773.919014f0.0044260.007162
433778.733475f0.0044210.007154
434781.151926f0.0044190.007149
436786.011382f0.0044140.007141
438790.901068f0.0044090.007133
439793.357306f0.0044060.007129
441798.292691f0.0044010.007121
443803.258778f0.0043960.007113
444805.753394f0.0043940.007109
446810.765894f0.0043890.007101
447813.283824f0.0043860.007097
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451823.433988f0.0043760.007081
452825.991261f0.0043740.007077
454831.129658f0.0043690.007069
455833.710831f0.0043660.007065
457838.897250f0.0043610.007056
459844.115933f0.0043560.007048
460846.737436f0.0043540.007044
462852.004892f0.0043490.007036
464857.305117f0.0043440.007028
465859.967581f0.0043410.007024
467865.317340f0.0043360.007016
468868.004687f0.0043340.007012
470873.404444f0.0043290.007004
472878.837793f0.0043240.006996
473881.567129f0.0043210.006992
475887.051257f0.0043160.006984
477892.569500f0.0043110.006976
478895.341482f0.0043090.006972
480900.911298f0.0043040.006963
481903.709187f0.0043010.006959
483909.331057f0.0042960.006951
485914.987901f0.0042910.006943
486917.829506f0.0042890.006939
488923.539218f0.0042840.006931
489926.407380f0.0042810.006927
491932.170453f0.0042760.006919
493937.969378f0.0042710.006911
494940.882355f0.0042690.006907
496946.735476f0.0042640.006899
498952.625008f0.0042590.006891
499955.583499f0.0042560.006887
501961.528074f0.0042510.006879
502964.514215f0.0042490.006875
504970.514347f0.0042440.006866
506976.551805f0.0042390.006858
507979.584604f0.0042370.006854
509985.678487f0.0042320.006846
510988.739630f0.0042290.006842
512994.890465f0.0042240.006834
5141001.079564f0.0042190.006826
5151004.188537f0.0042170.006822
5171010.435478f0.0042120.006814
5191016.721281f0.0042070.006806
5201019.878831f0.0042040.006802
5221026.223380f0.0041990.006794
5231029.410440f0.0041970.006790
5251035.814284f0.0041920.006782
5271042.257965f0.0041870.006773
5281045.494822f0.0041840.006769
5301051.998725f0.0041790.006761
5321058.543088f0.0041740.006753
5331061.830521f0.0041720.006749
5351068.436046f0.0041670.006741
5361071.754203f0.0041640.006737
5381078.421462f0.0041590.006729
5401085.130198f0.0041540.006721
5411088.500200f0.0041520.006717
5431095.271635f0.0041470.006709
5441098.673132f0.0041440.006705
5461105.507851f0.0041390.006697
5481112.385088f0.0041340.006689
5491115.839734f0.0041320.006685
5511122.781244f0.0041270.006676
5531129.765937f0.0041220.006668
5541133.274561f0.0041190.006664
5561140.324532f0.0041140.006656
5571143.865946f0.0041120.006652
5591150.981805f0.0041070.006644
5611158.141930f0.0041020.006636
5621161.738679f0.0040990.006632
5641168.965721f0.0040940.006624
5661176.237723f0.0040890.006616
5671179.890670f0.0040870.006612
5691187.230634f0.0040820.006604
5701190.917721f0.0040790.006600
5721198.326283f0.0040740.006592
5741205.780933f0.0040690.006583
5751209.525631f0.0040670.006579
5771217.049950f0.0040620.006571
5781220.829645f0.0040590.006567
5801228.424286f0.0040540.006559
5821236.066172f0.0040490.006551
5831239.904924f0.0040470.006547
5851247.618230f0.0040420.006539
5871255.379519f0.0040370.006531
5881259.278251f0.0040340.006527
5901267.112076f0.0040290.006519
5911271.047244f0.0040270.006515
5931278.954283f0.0040220.006507
5951286.910510f0.0040170.006499
5961290.907166f0.0040140.006495
5981298.937750f0.0040090.006486
5991302.971757f0.0040070.006482
6011311.077395f0.0040020.006474
6031319.233456f0.0039970.006466
6041323.330494f0.0039940.006462
6061331.562781f0.0039890.006454
6081339.846280f0.0039840.006446
6091344.007333f0.0039820.006442
A118287 
integer frequency Hzloudness attack srelease s
1204.000000mp0.0055000.008900
2204.633546mp0.0054980.008896
3205.269061mp0.0054950.008892
5206.546016mp0.0054900.008884
6207.187469mp0.0054880.008880
8208.476359mp0.0054830.008872
9209.123807mp0.0054800.008868
10209.773266mp0.0054780.008864
12211.078241mp0.0054730.008856
13211.733770mp0.0054700.008851
15213.050942mp0.0054650.008843
16213.712597mp0.0054630.008839
17214.376307mp0.0054600.008835
19215.709917mp0.0054550.008827
20216.379830mp0.0054530.008823
21217.051824mp0.0054500.008819
23218.402078mp0.0054450.008811
24219.080352mp0.0054430.008807
26220.443226mp0.0054380.008799
27221.127839mp0.0054350.008795
28221.814578mp0.0054330.008791
30223.194461mp0.0054280.008783
31223.887618mp0.0054250.008779
32224.582928mp0.0054230.008775
34225.980032mp0.0054180.008767
35226.681840mp0.0054150.008763
37228.092002mp0.0054100.008754
38228.800369mp0.0054080.008750
39229.510936mp0.0054050.008746
41230.938697mp0.0054000.008738
42231.655905mp0.0053980.008734
44233.097010mp0.0053930.008726
45233.820921mp0.0053900.008722
46234.547079mp0.0053880.008718
48236.006170mp0.0053830.008710
49236.739115mp0.0053800.008706
50237.474337mp0.0053780.008702
52238.951638mp0.0053730.008694
53239.693731mp0.0053700.008690
55241.184838mp0.0053650.008682
56241.933866mp0.0053630.008678
57242.685221mp0.0053600.008674
59244.194938mp0.0053550.008666
60244.953314mp0.0053530.008661
61245.714046mp0.0053500.008657
63247.242605mp0.0053450.008649
64248.010447mp0.0053430.008645
66249.553291mp0.0053380.008637
67250.328309mp0.0053350.008633
68251.105733mp0.0053330.008629
70252.667833mp0.0053280.008621
71253.452524mp0.0053250.008617
73255.029222mp0.0053200.008609
74255.821246mp0.0053180.008605
75256.615730mp0.0053150.008601
77258.212107mp0.0053100.008593
78259.014016mp0.0053080.008589
79259.818415mp0.0053050.008585
81261.434715mp0.0053000.008577
82262.246632mp0.0052980.008573
84263.878038mp0.0052930.008564
85264.697543mp0.0052900.008560
86265.519593mp0.0052880.008556
88267.171360mp0.0052830.008548
89268.001093mp0.0052800.008544
91269.668297mp0.0052750.008536
92270.505784mp0.0052730.008532
93271.345872mp0.0052700.008528
95273.033883mp0.0052650.008520
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