Collection V

Φ2 Signature Sequence no. 9

Casey Mongoven

October 28, 2007

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Catalogue Entry B565 & 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: 1078
number of channels: 2
piece length: 45.276 seconds
note value: .042 seconds
orientation: ascending
temperament: phi^8 + 1
lowest frequency: 1785 Hz    highest frequency: 8306.2345121 Hz   
number of unique frequencies: 74
synthesis technique: classic waveforms
wave: square to triangle
dynamic: p to mf
simulated spatial location: left to right
delay: -.0033 to .0033
attack: .0055 to .006 (roll-off -.0000068)
release: .0089 to .0097 (roll-off -.000011)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 1785.000 sq*.963+tr*.037 p left .005500 .008900
2 1822.996 sq*.956+tr*.044 p left .005506 .008910
3 1861.801 sq*.947+tr*.053 p left .005513 .008921
4 1901.431 sq*.937+tr*.063 p left .005520 .008932
5 1941.906 sq*.926+tr*.074 p left .005527 .008943
6 1983.242 sq*.915+tr*.085 p left .005534 .008954
7 2025.457 sq*.902+tr*.098 p left .005541 .008965
8 2068.572 sq*.89+tr*.11 p left .005547 .008976
9 2112.604 sq*.877+tr*.123 p left .005554 .008987
10 2157.573 sq*.864+tr*.136 p left .005561 .008998
11 2203.500 sq*.851+tr*.149 p middle left .005568 .009009
12 2250.404 sq*.837+tr*.163 p middle left .005575 .009020
13 2298.307 sq*.823+tr*.177 p middle left .005582 .009031
14 2347.229 sq*.81+tr*.19 p middle left .005589 .009042
15 2397.193 sq*.796+tr*.204 p middle left .005595 .009053
16 2448.220 sq*.782+tr*.218 p middle left .005602 .009064
17 2500.333 sq*.769+tr*.231 p middle left .005609 .009075
18 2553.556 sq*.755+tr*.245 p middle left .005616 .009086
19 2607.911 sq*.742+tr*.258 p middle left .005623 .009097
20 2663.424 sq*.728+tr*.272 mp middle left .005630 .009108
21 2720.118 sq*.715+tr*.285 mp middle left .005636 .009119
22 2778.019 sq*.702+tr*.298 mp middle left .005643 .009130
23 2837.153 sq*.689+tr*.311 mp middle left .005650 .009141
24 2897.545 sq*.676+tr*.324 mp middle left .005657 .009152
25 2959.223 sq*.663+tr*.337 mp middle left .005664 .009163
26 3022.214 sq*.651+tr*.349 mp middle left .005671 .009173
27 3086.545 sq*.638+tr*.362 mp middle left .005678 .009184
28 3152.246 sq*.626+tr*.374 mp middle left .005684 .009195
29 3219.346 sq*.613+tr*.387 mp middle .005691 .009206
30 3287.874 sq*.601+tr*.399 mp middle .005698 .009217
31 3357.860 sq*.588+tr*.412 mp middle .005705 .009228
32 3429.336 sq*.576+tr*.424 mp middle .005712 .009239
33 3502.334 sq*.564+tr*.436 mp middle .005719 .009250
34 3576.885 sq*.552+tr*.448 mp middle .005726 .009261
35 3653.024 sq*.54+tr*.46 mp middle .005732 .009272
36 3730.783 sq*.528+tr*.472 mp middle .005739 .009283
37 3810.197 sq*.516+tr*.484 mp middle .005746 .009294
38 3891.302 sq*.504+tr*.496 mp middle .005753 .009305
39 3974.133 sq*.492+tr*.508 mp middle .005760 .009316
40 4058.728 sq*.48+tr*.52 mp middle .005767 .009327
41 4145.123 sq*.468+tr*.532 mp middle .005773 .009338
42 4233.357 sq*.456+tr*.544 mp middle .005780 .009349
43 4323.469 sq*.444+tr*.556 mp middle .005787 .009360
44 4415.499 sq*.432+tr*.568 mp middle .005794 .009371
45 4509.489 sq*.419+tr*.581 mp middle .005801 .009382
46 4605.479 sq*.407+tr*.593 mp middle .005808 .009393
47 4703.512 sq*.395+tr*.605 mp middle right .005815 .009404
48 4803.632 sq*.382+tr*.618 mp middle right .005821 .009415
49 4905.883 sq*.37+tr*.63 mp middle right .005828 .009426
50 5010.311 sq*.357+tr*.643 mp middle right .005835 .009436
51 5116.962 sq*.344+tr*.656 mp middle right .005842 .009447
52 5225.883 sq*.331+tr*.669 mp middle right .005849 .009458
53 5337.122 sq*.318+tr*.682 mp middle right .005856 .009469
54 5450.729 sq*.305+tr*.695 mp middle right .005863 .009480
55 5566.755 sq*.291+tr*.709 mp middle right .005869 .009491
56 5685.250 sq*.278+tr*.722 mf middle right .005876 .009502
57 5806.268 sq*.264+tr*.736 mf middle right .005883 .009513
58 5929.861 sq*.25+tr*.75 mf middle right .005890 .009524
59 6056.086 sq*.236+tr*.764 mf middle right .005897 .009535
60 6184.997 sq*.222+tr*.778 mf middle right .005904 .009546
61 6316.652 sq*.208+tr*.792 mf middle right .005910 .009557
62 6451.110 sq*.194+tr*.806 mf middle right .005917 .009568
63 6588.430 sq*.18+tr*.82 mf middle right .005924 .009579
64 6728.673 sq*.166+tr*.834 mf middle right .005931 .009590
65 6871.901 sq*.153+tr*.847 mf right .005938 .009601
66 7018.178 sq*.139+tr*.861 mf right .005945 .009612
67 7167.568 sq*.126+tr*.874 mf right .005952 .009623
68 7320.139 sq*.113+tr*.887 mf right .005958 .009634
69 7475.957 sq*.1+tr*.9 mf right .005965 .009645
70 7635.092 sq*.088+tr*.912 mf right .005972 .009656
71 7797.614 sq*.077+tr*.923 mf right .005979 .009667
72 7963.596 sq*.066+tr*.934 mf right .005986 .009678
73 8133.111 sq*.057+tr*.943 mf right .005993 .009689
74 8306.235 sq*.05+tr*.95 mf right .006000 .009700