Collection VI

Φ2 Signature Sequence no. 18

Casey Mongoven

March 31, 2008

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Catalogue Entry B836 & Files
Parameters   Sequence Values & Graph
description of sequence: Arranging the numbers s + jΦ^2 in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of Φ^2. Φ^2 is equal to (3 + sqrt(5))/2.
offset: 1
number of members used: 1576
number of channels: 2
piece length: 81.952 seconds
note value: .052 seconds
orientation: ascending
temperament: phi^8 + 1
lowest frequency: 70.55 Hz    highest frequency: 459.8568397 Hz   
number of unique frequencies: 90
synthesis technique: wavetable
wave: wave one to wave two
wave one source: Apoldaer .5 liter beer bottle
wave two source: Sperrhake harpsichord plucked with fingernail, C5 (A = 415 Hz)
dynamic: pp to f
simulated spatial location: right to left
delay: .0018 to -.0018
attack: .006 to .0055 (roll-off .0000056)
release: .0097 to .0089 (roll-off .000009)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 70.55000 w1*.864+w2*.136 pp right .006000 .009700
2 72.05174 w1*.86+w2*.14 pp right .005994 .009691
3 73.58545 w1*.855+w2*.145 pp right .005988 .009682
4 75.15181 w1*.849+w2*.151 pp right .005983 .009673
5 76.75151 w1*.842+w2*.158 pp right .005977 .009664
6 78.38526 w1*.835+w2*.165 pp right .005971 .009655
7 80.05379 w1*.828+w2*.172 pp right .005966 .009646
8 81.75783 w1*.82+w2*.18 pp right .005960 .009637
9 83.49815 w1*.812+w2*.188 pp right .005955 .009628
10 85.27551 w1*.804+w2*.196 pp right .005949 .009619
11 87.09071 w1*.796+w2*.204 pp right .005943 .009610
12 88.94454 w1*.788+w2*.212 pp right .005938 .009601
13 90.83783 w1*.779+w2*.221 p middle right .005932 .009592
14 92.77143 w1*.771+w2*.229 p middle right .005926 .009583
15 94.74618 w1*.762+w2*.238 p middle right .005921 .009574
16 96.76297 w1*.754+w2*.246 p middle right .005915 .009565
17 98.82269 w1*.745+w2*.255 p middle right .005910 .009556
18 100.9263 w1*.737+w2*.263 p middle right .005904 .009547
19 103.0746 w1*.728+w2*.272 p middle right .005898 .009538
20 105.2687 w1*.72+w2*.28 p middle right .005893 .009529
21 107.5094 w1*.711+w2*.289 p middle right .005887 .009520
22 109.7979 w1*.703+w2*.297 p middle right .005882 .009511
23 112.1351 w1*.695+w2*.305 p middle right .005876 .009502
24 114.5220 w1*.686+w2*.314 p middle right .005870 .009493
25 116.9598 w1*.678+w2*.322 p middle right .005865 .009484
26 119.4494 w1*.67+w2*.33 p middle right .005859 .009475
27 121.9920 w1*.662+w2*.338 p middle right .005853 .009466
28 124.5888 w1*.654+w2*.346 p middle right .005848 .009457
29 127.2408 w1*.646+w2*.354 p middle right .005842 .009448
30 129.9493 w1*.638+w2*.362 p middle right .005837 .009439
31 132.7154 w1*.63+w2*.37 p middle right .005831 .009430
32 135.5404 w1*.622+w2*.378 p middle right .005825 .009421
33 138.4256 w1*.615+w2*.385 p middle right .005820 .009412
34 141.3721 w1*.607+w2*.393 p middle right .005814 .009403
35 144.3814 w1*.599+w2*.401 mp middle .005808 .009394
36 147.4548 w1*.592+w2*.408 mp middle .005803 .009385
37 150.5935 w1*.584+w2*.416 mp middle .005797 .009376
38 153.7991 w1*.577+w2*.423 mp middle .005792 .009367
39 157.0729 w1*.569+w2*.431 mp middle .005786 .009358
40 160.4164 w1*.562+w2*.438 mp middle .005780 .009349
41 163.8310 w1*.554+w2*.446 mp middle .005775 .009340
42 167.3184 w1*.547+w2*.453 mp middle .005769 .009331
43 170.8800 w1*.539+w2*.461 mp middle .005764 .009322
44 174.5174 w1*.532+w2*.468 mp middle .005758 .009313
45 178.2322 w1*.525+w2*.475 mp middle .005752 .009304
46 182.0261 w1*.517+w2*.483 mp middle .005747 .009295
47 185.9007 w1*.51+w2*.49 mp middle .005741 .009286
48 189.8578 w1*.503+w2*.497 mp middle .005735 .009277
49 193.8992 w1*.495+w2*.505 mp middle .005730 .009268
50 198.0266 w1*.488+w2*.512 mp middle .005724 .009259
51 202.2418 w1*.48+w2*.52 mp middle .005719 .009250
52 206.5468 w1*.473+w2*.527 mp middle .005713 .009241
53 210.9434 w1*.465+w2*.535 mp middle .005707 .009232
54 215.4336 w1*.458+w2*.542 mp middle .005702 .009223
55 220.0194 w1*.45+w2*.55 mp middle .005696 .009214
56 224.7027 w1*.443+w2*.557 mp middle .005691 .009205
57 229.4858 w1*.435+w2*.565 mf middle left .005685 .009196
58 234.3707 w1*.427+w2*.573 mf middle left .005679 .009187
59 239.3596 w1*.42+w2*.58 mf middle left .005674 .009178
60 244.4546 w1*.412+w2*.588 mf middle left .005668 .009169
61 249.6582 w1*.404+w2*.596 mf middle left .005662 .009160
62 254.9724 w1*.396+w2*.604 mf middle left .005657 .009151
63 260.3998 w1*.388+w2*.612 mf middle left .005651 .009142
64 265.9428 w1*.38+w2*.62 mf middle left .005646 .009133
65 271.6037 w1*.372+w2*.628 mf middle left .005640 .009124
66 277.3851 w1*.363+w2*.637 mf middle left .005634 .009115
67 283.2896 w1*.355+w2*.645 mf middle left .005629 .009106
68 289.3198 w1*.347+w2*.653 mf middle left .005623 .009097
69 295.4783 w1*.339+w2*.661 mf middle left .005617 .009088
70 301.7679 w1*.33+w2*.67 mf middle left .005612 .009079
71 308.1914 w1*.322+w2*.678 mf middle left .005606 .009070
72 314.7517 w1*.313+w2*.687 mf middle left .005601 .009061
73 321.4515 w1*.304+w2*.696 mf middle left .005595 .009052
74 328.2940 w1*.296+w2*.704 mf middle left .005589 .009043
75 335.2822 w1*.287+w2*.713 mf middle left .005584 .009034
76 342.4191 w1*.279+w2*.721 mf middle left .005578 .009025
77 349.7079 w1*.27+w2*.73 mf middle left .005573 .009016
78 357.1518 w1*.262+w2*.738 mf middle left .005567 .009007
79 364.7543 w1*.253+w2*.747 f left .005561 .008998
80 372.5185 w1*.245+w2*.755 f left .005556 .008989
81 380.4480 w1*.237+w2*.763 f left .005550 .008980
82 388.5463 w1*.229+w2*.771 f left .005544 .008971
83 396.8170 w1*.221+w2*.779 f left .005539 .008962
84 405.2638 w1*.214+w2*.786 f left .005533 .008953
85 413.8903 w1*.206+w2*.794 f left .005528 .008944
86 422.7005 w1*.199+w2*.801 f left .005522 .008935
87 431.6982 w1*.192+w2*.808 f left .005516 .008926
88 440.8874 w1*.186+w2*.814 f left .005511 .008917
89 450.2722 w1*.181+w2*.819 f left .005505 .008908
90 459.8568 w1*.177+w2*.823 f left .005500 .008900