Collection VI

Φ2 Signature Sequence no. 16

Casey Mongoven

February 15, 2008

<< Previous Work   Next Work >>

 

Catalogue Entry B758 & 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: 1668
number of channels: 2
piece length: 78.396 seconds
note value: .047 seconds
orientation: ascending
temperament: phi^9 + 1
lowest frequency: 143.8 Hz    highest frequency: 472.3774414 Hz   
number of unique frequencies: 92
synthesis technique: wavetable
wave: wave one to wave two
wave one source: .33 liter latte macchiato glass
wave two source: cracked red wine glass
dynamic: mp to f
simulated spatial location: right to left
delay: .0022 to -.0022
attack: .006 to .0055 (roll-off .0000055)
release: .0097 to .0089 (roll-off .0000088)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 143.8000 w1*.819+w2*.181 mp right .006000 .009700
2 145.6918 w1*.814+w2*.186 mp right .005994 .009691
3 147.6084 w1*.809+w2*.191 mp right .005989 .009682
4 149.5503 w1*.802+w2*.198 mp right .005983 .009673
5 151.5178 w1*.795+w2*.205 mp right .005978 .009664
6 153.5111 w1*.788+w2*.212 mp right .005972 .009656
7 155.5306 w1*.78+w2*.22 mp right .005967 .009647
8 157.5767 w1*.771+w2*.229 mp right .005961 .009638
9 159.6497 w1*.763+w2*.237 mp right .005956 .009629
10 161.7500 w1*.755+w2*.245 mp right .005950 .009620
11 163.8779 w1*.746+w2*.254 mp right .005945 .009612
12 166.0338 w1*.737+w2*.263 mp right .005939 .009603
13 168.2181 w1*.728+w2*.272 mp middle right .005934 .009594
14 170.4311 w1*.72+w2*.28 mp middle right .005928 .009585
15 172.6733 w1*.711+w2*.289 mp middle right .005923 .009576
16 174.9449 w1*.702+w2*.298 mp middle right .005917 .009568
17 177.2464 w1*.693+w2*.307 mp middle right .005912 .009559
18 179.5782 w1*.684+w2*.316 mp middle right .005906 .009550
19 181.9406 w1*.676+w2*.324 mp middle right .005901 .009541
20 184.3342 w1*.667+w2*.333 mp middle right .005895 .009532
21 186.7592 w1*.659+w2*.341 mp middle right .005890 .009524
22 189.2161 w1*.65+w2*.35 mp middle right .005884 .009515
23 191.7054 w1*.642+w2*.358 mp middle right .005879 .009506
24 194.2274 w1*.634+w2*.366 mf middle right .005873 .009497
25 196.7826 w1*.626+w2*.374 mf middle right .005868 .009489
26 199.3714 w1*.618+w2*.382 mf middle right .005862 .009480
27 201.9942 w1*.611+w2*.389 mf middle right .005857 .009471
28 204.6516 w1*.603+w2*.397 mf middle right .005851 .009462
29 207.3439 w1*.596+w2*.404 mf middle right .005846 .009453
30 210.0716 w1*.589+w2*.411 mf middle right .005840 .009445
31 212.8353 w1*.582+w2*.418 mf middle right .005835 .009436
32 215.6352 w1*.575+w2*.425 mf middle right .005829 .009427
33 218.4721 w1*.568+w2*.432 mf middle right .005824 .009418
34 221.3462 w1*.561+w2*.439 mf middle right .005818 .009409
35 224.2581 w1*.554+w2*.446 mf middle right .005813 .009401
36 227.2084 w1*.547+w2*.453 mf middle .005807 .009392
37 230.1975 w1*.54+w2*.46 mf middle .005802 .009383
38 233.2259 w1*.534+w2*.466 mf middle .005796 .009374
39 236.2941 w1*.527+w2*.473 mf middle .005791 .009365
40 239.4027 w1*.521+w2*.479 mf middle .005785 .009357
41 242.5522 w1*.514+w2*.486 mf middle .005780 .009348
42 245.7431 w1*.508+w2*.492 mf middle .005774 .009339
43 248.9760 w1*.501+w2*.499 mf middle .005769 .009330
44 252.2514 w1*.495+w2*.505 mf middle .005763 .009321
45 255.5699 w1*.488+w2*.512 mf middle .005758 .009313
46 258.9321 w1*.482+w2*.518 mf middle .005752 .009304
47 262.3385 w1*.476+w2*.524 mf middle .005747 .009295
48 265.7898 w1*.47+w2*.53 mf middle .005741 .009286
49 269.2864 w1*.463+w2*.537 mf middle .005736 .009278
50 272.8290 w1*.457+w2*.543 mf middle .005730 .009269
51 276.4183 w1*.451+w2*.549 mf middle .005725 .009260
52 280.0547 w1*.444+w2*.556 mf middle .005719 .009251
53 283.7390 w1*.437+w2*.563 mf middle .005714 .009242
54 287.4718 w1*.43+w2*.57 mf middle .005708 .009234
55 291.2536 w1*.423+w2*.577 mf middle .005703 .009225
56 295.0853 w1*.416+w2*.584 mf middle .005697 .009216
57 298.9673 w1*.408+w2*.592 mf middle .005692 .009207
58 302.9004 w1*.4+w2*.6 mf middle left .005686 .009198
59 306.8852 w1*.392+w2*.608 mf middle left .005681 .009190
60 310.9225 w1*.384+w2*.616 mf middle left .005675 .009181
61 315.0129 w1*.375+w2*.625 mf middle left .005670 .009172
62 319.1571 w1*.366+w2*.634 mf middle left .005664 .009163
63 323.3558 w1*.357+w2*.643 mf middle left .005659 .009154
64 327.6097 w1*.348+w2*.652 mf middle left .005653 .009146
65 331.9196 w1*.339+w2*.661 mf middle left .005648 .009137
66 336.2862 w1*.331+w2*.669 mf middle left .005642 .009128
67 340.7103 w1*.322+w2*.678 mf middle left .005637 .009119
68 345.1925 w1*.314+w2*.686 mf middle left .005631 .009110
69 349.7337 w1*.305+w2*.695 mf middle left .005626 .009102
70 354.3347 w1*.298+w2*.702 f middle left .005620 .009093
71 358.9962 w1*.29+w2*.71 f middle left .005615 .009084
72 363.7190 w1*.283+w2*.717 f middle left .005609 .009075
73 368.5040 w1*.277+w2*.723 f middle left .005604 .009067
74 373.3519 w1*.27+w2*.73 f middle left .005598 .009058
75 378.2635 w1*.263+w2*.737 f middle left .005593 .009049
76 383.2398 w1*.257+w2*.743 f middle left .005587 .009040
77 388.2816 w1*.251+w2*.749 f middle left .005582 .009031
78 393.3897 w1*.244+w2*.756 f middle left .005576 .009023
79 398.5650 w1*.238+w2*.762 f middle left .005571 .009014
80 403.8083 w1*.231+w2*.769 f middle left .005565 .009005
81 409.1207 w1*.224+w2*.776 f left .005560 .008996
82 414.5029 w1*.218+w2*.782 f left .005554 .008987
83 419.9560 w1*.211+w2*.789 f left .005549 .008979
84 425.4807 w1*.204+w2*.796 f left .005543 .008970
85 431.0782 w1*.196+w2*.804 f left .005538 .008961
86 436.7493 w1*.189+w2*.811 f left .005532 .008952
87 442.4950 w1*.182+w2*.818 f left .005527 .008943
88 448.3163 w1*.176+w2*.824 f left .005521 .008935
89 454.2142 w1*.169+w2*.831 f left .005516 .008926
90 460.1896 w1*.163+w2*.837 f left .005510 .008917
91 466.2437 w1*.158+w2*.842 f left .005505 .008908
92 472.3774 w1*.154+w2*.846 f left .005500 .008900