Collection IX

φ Signature Sequence no. 36

Casey Mongoven

June 27, 2009

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Catalogue Entry B1136 & 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: 2431
number of channels: 2
piece length: 119.119 seconds
note value: .049 seconds
orientation: ascending
temperament: phi^7 + 1
lowest frequency: 191.55 Hz    highest frequency: 1192.3690258 Hz   
number of unique frequencies: 55
synthesis technique: wavetable with FFT resynthesis
wave: blend from wave one to wave two not using pure forms
wave one source in pure form: tuning fork on paper
wave two source in pure form: water swished around in 1 liter beer glass
dynamic: pp to f
simulated spatial location: left to right
delay: -.0003 to .0003
attack: .0076 to .0055 (roll-off .0000389)
release: .0123 to .0089 (roll-off .000063)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 191.5500 w1*.885+w2*.115 pp left .007600 .012300
2 198.1473 w1*.875+w2*.125 pp left .007561 .012237
3 204.9719 w1*.864+w2*.136 pp left .007522 .012174
4 212.0315 w1*.852+w2*.148 pp left .007483 .012111
5 219.3343 w1*.839+w2*.161 pp left .007444 .012048
6 226.8885 w1*.826+w2*.174 pp left .007405 .011985
7 234.7030 w1*.813+w2*.187 pp left .007366 .011922
8 242.7866 w1*.801+w2*.199 p middle left .007327 .011859
9 251.1486 w1*.79+w2*.21 p middle left .007288 .011796
10 259.7987 w1*.779+w2*.221 p middle left .007250 .011733
11 268.7466 w1*.768+w2*.232 p middle left .007211 .011670
12 278.0027 w1*.757+w2*.243 p middle left .007172 .011607
13 287.5777 w1*.745+w2*.255 p middle left .007133 .011544
14 297.4824 w1*.732+w2*.268 p middle left .007094 .011481
15 307.7282 w1*.717+w2*.283 p middle left .007055 .011418
16 318.3270 w1*.701+w2*.299 p middle left .007016 .011355
17 329.2907 w1*.684+w2*.316 p middle left .006977 .011292
18 340.6321 w1*.667+w2*.333 p middle left .006938 .011229
19 352.3641 w1*.649+w2*.351 p middle left .006900 .011166
20 364.5002 w1*.631+w2*.369 p middle left .006861 .011103
21 377.0542 w1*.615+w2*.385 p middle left .006822 .011040
22 390.0407 w1*.599+w2*.401 mp middle .006783 .010977
23 403.4744 w1*.585+w2*.415 mp middle .006744 .010914
24 417.3708 w1*.572+w2*.428 mp middle .006705 .010851
25 431.7458 w1*.56+w2*.44 mp middle .006666 .010788
26 446.6160 w1*.548+w2*.452 mp middle .006627 .010725
27 461.9983 w1*.536+w2*.464 mp middle .006588 .010663
28 477.9103 w1*.525+w2*.475 mp middle .006550 .010600
29 494.3705 w1*.513+w2*.487 mp middle .006511 .010537
30 511.3975 w1*.502+w2*.498 mp middle .006472 .010474
31 529.0110 w1*.49+w2*.51 mp middle .006433 .010411
32 547.2311 w1*.478+w2*.522 mp middle .006394 .010348
33 566.0787 w1*.466+w2*.534 mp middle .006355 .010285
34 585.5755 w1*.454+w2*.546 mp middle .006316 .010222
35 605.7438 w1*.442+w2*.558 mf middle right .006277 .010159
36 626.6068 w1*.43+w2*.57 mf middle right .006238 .010096
37 648.1883 w1*.418+w2*.582 mf middle right .006200 .010033
38 670.5131 w1*.406+w2*.594 mf middle right .006161 .009970
39 693.6068 w1*.394+w2*.606 mf middle right .006122 .009907
40 717.4959 w1*.381+w2*.619 mf middle right .006083 .009844
41 742.2078 w1*.369+w2*.631 mf middle right .006044 .009781
42 767.7708 w1*.356+w2*.644 mf middle right .006005 .009718
43 794.2143 w1*.343+w2*.657 mf middle right .005966 .009655
44 821.5685 w1*.33+w2*.67 mf middle right .005927 .009592
45 849.8648 w1*.317+w2*.683 mf middle right .005888 .009529
46 879.1357 w1*.303+w2*.697 mf middle right .005850 .009466
47 909.4148 w1*.29+w2*.71 mf middle right .005811 .009403
48 940.7367 w1*.277+w2*.723 mf middle right .005772 .009340
49 973.1374 w1*.264+w2*.736 f right .005733 .009277
50 1006.654 w1*.251+w2*.749 f right .005694 .009214
51 1041.325 w1*.239+w2*.761 f right .005655 .009151
52 1077.190 w1*.227+w2*.773 f right .005616 .009088
53 1114.291 w1*.217+w2*.783 f right .005577 .009025
54 1152.669 w1*.208+w2*.792 f right .005538 .008962
55 1192.369 w1*.2+w2*.8 f right .005500 .008900