Collection VI

φ Signature Sequence no. 20

Casey Mongoven

December 17, 2007

<< Previous Work   Next Work >>

 

Catalogue Entry B678 & 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: 2749
number of channels: 2
piece length: 131.952 seconds
note value: .048 seconds
orientation: ascending
temperament: phi^8 + 1
lowest frequency: 84.9 Hz    highest frequency: 282.0421353 Hz   
number of unique frequencies: 58
synthesis technique: wavetable
wave: wave one to wave two
wave one source: tuning fork on paper, E4
wave two source: pitch pipe, D4
dynamic: pp to ff
simulated spatial location: far left to far right
delay: -.0083 to .0083
attack: .0063 to .0055 (roll-off .000014)
release: .0102 to .0089 (roll-off .0000228)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 84.90000 w1*.89+w2*.11 pp far left .006300 .010200
2 86.70720 w1*.881+w2*.119 pp far left .006285 .010177
3 88.55287 w1*.87+w2*.13 pp far left .006271 .010154
4 90.43783 w1*.857+w2*.143 pp far left .006257 .010131
5 92.36291 w1*.843+w2*.157 pp far left .006243 .010108
6 94.32897 w1*.829+w2*.171 pp left .006229 .010086
7 96.33688 w1*.813+w2*.187 p left .006215 .010063
8 98.38753 w1*.798+w2*.202 p left .006201 .010040
9 100.4818 w1*.782+w2*.218 p left .006187 .010017
10 102.6207 w1*.766+w2*.234 p left .006173 .009994
11 104.8051 w1*.75+w2*.25 p left .006159 .009971
12 107.0360 w1*.734+w2*.266 p left .006145 .009949
13 109.3144 w1*.717+w2*.283 p left .006131 .009926
14 111.6413 w1*.701+w2*.299 p left .006117 .009903
15 114.0177 w1*.685+w2*.315 p left .006103 .009880
16 116.4447 w1*.67+w2*.33 p middle left .006089 .009857
17 118.9234 w1*.654+w2*.346 p middle left .006075 .009835
18 121.4548 w1*.639+w2*.361 p middle left .006061 .009812
19 124.0402 w1*.624+w2*.376 mp middle left .006047 .009789
20 126.6805 w1*.609+w2*.391 mp middle left .006033 .009766
21 129.3771 w1*.594+w2*.406 mp middle left .006019 .009743
22 132.1310 w1*.58+w2*.42 mp middle left .006005 .009721
23 134.9436 w1*.566+w2*.434 mp middle left .005991 .009698
24 137.8160 w1*.552+w2*.448 mp middle left .005977 .009675
25 140.7496 w1*.538+w2*.462 mp middle .005963 .009652
26 143.7456 w1*.524+w2*.476 mp middle .005949 .009629
27 146.8054 w1*.511+w2*.489 mp middle .005935 .009607
28 149.9304 w1*.497+w2*.503 mp middle .005921 .009584
29 153.1218 w1*.484+w2*.516 mp middle .005907 .009561
30 156.3812 w1*.47+w2*.53 mf middle .005892 .009538
31 159.7100 w1*.457+w2*.543 mf middle .005878 .009515
32 163.1096 w1*.444+w2*.556 mf middle .005864 .009492
33 166.5816 w1*.431+w2*.569 mf middle .005850 .009470
34 170.1275 w1*.418+w2*.582 mf middle .005836 .009447
35 173.7489 w1*.404+w2*.596 mf middle right .005822 .009424
36 177.4473 w1*.391+w2*.609 mf middle right .005808 .009401
37 181.2245 w1*.378+w2*.622 mf middle right .005794 .009378
38 185.0821 w1*.364+w2*.636 mf middle right .005780 .009356
39 189.0218 w1*.35+w2*.65 mf middle right .005766 .009333
40 193.0454 w1*.337+w2*.663 mf middle right .005752 .009310
41 197.1546 w1*.323+w2*.677 f middle right .005738 .009287
42 201.3512 w1*.308+w2*.692 f middle right .005724 .009264
43 205.6373 w1*.294+w2*.706 f middle right .005710 .009242
44 210.0145 w1*.279+w2*.721 f right .005696 .009219
45 214.4849 w1*.264+w2*.736 f right .005682 .009196
46 219.0505 w1*.249+w2*.751 f right .005668 .009173
47 223.7133 w1*.234+w2*.766 f right .005654 .009150
48 228.4753 w1*.219+w2*.781 f right .005640 .009128
49 233.3387 w1*.204+w2*.796 f right .005626 .009105
50 238.3056 w1*.189+w2*.811 f right .005612 .009082
51 243.3782 w1*.174+w2*.826 f right .005598 .009059
52 248.5588 w1*.159+w2*.841 f right .005584 .009036
53 253.8497 w1*.145+w2*.855 ff right .005570 .009014
54 259.2532 w1*.131+w2*.869 ff far right .005556 .008991
55 264.7717 w1*.118+w2*.882 ff far right .005542 .008968
56 270.4077 w1*.106+w2*.894 ff far right .005528 .008945
57 276.1637 w1*.095+w2*.905 ff far right .005514 .008922
58 282.0421 w1*.087+w2*.913 ff far right .005500 .008900