Collection VII

Φ Signature Sequence no. 25

Casey Mongoven

May 7, 2008

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Catalogue Entry B886 & Files
Parameters   Sequence Values & Graph
description of sequence: Arranging the numbers s + jΦ in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of Φ. Φ is equal to (1 + sqrt(5))/2.
offset: 1
number of members used: 819
number of channels: 1
piece length: 40.95 seconds
note value: .05 seconds
orientation: ascending
temperament: phi^7 + 1
lowest frequency: 211.5 Hz    highest frequency: 1149.7795121 Hz   
number of unique frequencies: 51
synthesis technique: wavetable
wave: blend from wave one to wave two not using pure forms
wave one source in pure form: spoken voiceless palato-alveolar fricative (IPA ʃ)
wave two source in pure form: sung close front unrounded vowel (IPA i)
dynamic: mp to f
simulated spatial location: middle
attack: .0063 to .0055 (roll-off .000016)
release: .0102 to .0089 (roll-off .000026)
synthesis language used: Csound
dedication: to Richard Dawkins
integer frequency wave dynamic attack release
1 211.5000 w1*.75+w2*.25 mp .006300 .010200
2 218.7845 w1*.744+w2*.256 mp .006284 .010174
3 226.3198 w1*.736+w2*.264 mp .006268 .010148
4 234.1147 w1*.727+w2*.273 mp .006252 .010122
5 242.1780 w1*.717+w2*.283 mp .006236 .010096
6 250.5191 w1*.706+w2*.294 mp .006220 .010070
7 259.1474 w1*.695+w2*.305 mp .006204 .010044
8 268.0729 w1*.684+w2*.316 mp .006188 .010018
9 277.3059 w1*.672+w2*.328 mp .006172 .009992
10 286.8568 w1*.66+w2*.34 mp .006156 .009966
11 296.7367 w1*.647+w2*.353 mp .006140 .009940
12 306.9568 w1*.635+w2*.365 mp .006124 .009914
13 317.5290 w1*.622+w2*.378 mp .006108 .009888
14 328.4653 w1*.608+w2*.392 mf .006092 .009862
15 339.7782 w1*.595+w2*.405 mf .006076 .009836
16 351.4808 w1*.581+w2*.419 mf .006060 .009810
17 363.5865 w1*.568+w2*.432 mf .006044 .009784
18 376.1091 w1*.555+w2*.445 mf .006028 .009758
19 389.0630 w1*.542+w2*.458 mf .006012 .009732
20 402.4630 w1*.53+w2*.47 mf .005996 .009706
21 416.3246 w1*.519+w2*.481 mf .005980 .009680
22 430.6636 w1*.508+w2*.492 mf .005964 .009654
23 445.4964 w1*.497+w2*.503 mf .005948 .009628
24 460.8401 w1*.488+w2*.512 mf .005932 .009602
25 476.7123 w1*.479+w2*.521 mf .005916 .009576
26 493.1312 w1*.47+w2*.53 mf .005900 .009550
27 510.1155 w1*.462+w2*.538 mf .005884 .009524
28 527.6849 w1*.454+w2*.546 mf .005868 .009498
29 545.8593 w1*.448+w2*.552 mf .005852 .009472
30 564.6597 w1*.442+w2*.558 mf .005836 .009446
31 584.1076 w1*.438+w2*.562 mf .005820 .009420
32 604.2254 w1*.435+w2*.565 mf .005804 .009394
33 625.0360 w1*.433+w2*.567 mf .005788 .009368
34 646.5634 w1*.433+w2*.567 mf .005772 .009342
35 668.8323 w1*.432+w2*.568 mf .005756 .009316
36 691.8681 w1*.432+w2*.568 mf .005740 .009290
37 715.6973 w1*.432+w2*.568 mf .005724 .009264
38 740.3473 w1*.427+w2*.573 mf .005708 .009238
39 765.8462 w1*.415+w2*.585 f .005692 .009212
40 792.2234 w1*.397+w2*.603 f .005676 .009186
41 819.5090 w1*.379+w2*.621 f .005660 .009160
42 847.7344 w1*.364+w2*.636 f .005644 .009134
43 876.9320 w1*.355+w2*.645 f .005628 .009108
44 907.1351 w1*.349+w2*.651 f .005612 .009082
45 938.3785 w1*.341+w2*.659 f .005596 .009056
46 970.6980 w1*.329+w2*.671 f .005580 .009030
47 1004.131 w1*.315+w2*.685 f .005564 .009004
48 1038.715 w1*.302+w2*.698 f .005548 .008978
49 1074.490 w1*.29+w2*.71 f .005532 .008952
50 1111.497 w1*.281+w2*.719 f .005516 .008926
51 1149.780 w1*.275+w2*.725 f .005500 .008900