Collection XII

φ^3 and Φ^3 Signature Sequences no. 1

Casey Mongoven

January 18, 2012

Parameters  Sequence Values  Graph
classification of work:audio-visual
synthesis engine:Csound  show Csound orchestra
synthesis technique:granular synthesis with resonance filter
description of sequences sonified:
A167969 Arranging the numbers s + jφ^3 in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of φ^3. φ is equal to (-1 + sqrt(5))/2. 969 members used
A167971 Arranging the numbers s + jΦ^3 in increasing order, where s and j are positive integers, the sequence of s's is the signature sequence of Φ^3. Φ is equal to (1 + sqrt(5))/2. 969 members used
global static parameters:
offset:1
frequency orientation:ascending
temperament:phi^7 + 1
number of channels:2
note duration:0.049 seconds
piece duration:47.481 seconds
grain:knuckle fourteen
individual static parameters:
location:
-30°
30°
global dynamic parameters:
A167969 
integer resonance center frequency Hzresonance bandwidth Q factorloudness 
1196.0000009.090909mp
2202.7506039.119171mp
3209.7337109.147609mp
4216.9573289.176225mp
5224.4297409.205021mp
6232.1595179.233998mp
7240.1555219.263158mp
8248.4269229.292503mp
9256.9832069.322034mp
10265.8341849.351753mp
11274.9900069.381663mp
12284.4611719.411765mp
13294.2585419.442060mp
14304.3933519.472551mp
15314.8772229.503240mp
16325.7221789.534128mp
17336.9406539.565217mp
18348.5455149.596510mp
19360.5500679.628009mp
20372.9680809.659715mp
21385.8137929.691630mp
A167971 
integer resonance center frequency Hzresonance bandwidth Q factorloudness 
1196.0000009.090909mp
2202.7506039.119171mp
3209.7337109.147609mp
4216.9573289.176225mp
5224.4297409.205021mp
6232.1595179.233998mp
7240.1555219.263158mp
8248.4269229.292503mp
9256.9832069.322034mp
10265.8341849.351753mp
11274.9900069.381663mp
12284.4611719.411765mp
13294.2585419.442060mp
14304.3933519.472551mp
15314.8772229.503240mp
16325.7221789.534128mp
17336.9406539.565217mp
18348.5455149.596510mp
19360.5500679.628009mp
20372.9680809.659715mp
21385.8137929.691630mp
22399.1019349.723757mp
23412.8477459.756098mf
24427.0669879.788654mf
25441.7759659.821429mf
26456.9915489.854423mf
27472.7311859.887640mf
28489.0129239.921082mf
29505.8554349.954751mf
30523.2780339.988649mf
31541.30069910.022779mf
32559.94409810.057143mf
33579.22961110.091743mf
34599.17935310.126582mf
35619.81620010.161663mf
36641.16381910.196987mf
37663.24669010.232558mf
38686.09013510.268378mf
39709.72035110.304450mf
40734.16443610.340776mf
41759.45042010.377358mf
42785.60730010.414201mf
43812.66507210.451306mf
44840.65476310.488677mf
45869.60847210.526316mf
46899.55940010.564226mf
47930.54189310.602410mf
48962.59148110.640871mf
49995.74491610.679612mf
501030.04021610.718636mf
511065.51671110.757946mf
521102.21508210.797546mf
531140.17741210.837438mf
541179.44723610.877627mf
551220.06958510.918114mf
561262.09104310.958904mf
571305.55979911.000000mf
581350.52569811.041405mf
591397.04030711.083123mf
601445.15696511.125158mf
611494.93085011.167513mf
621546.41903911.210191mf
631599.68057811.253197mf
641654.77654211.296534mf
651711.77011411.340206mf
661770.72665011.384217mf
671831.71375811.428571f
681894.80137511.473272f
691960.06184711.518325f
702027.57001111.563732f
712097.40328011.609499f
722169.64173811.655629f
732244.36822111.702128f
742321.66842311.748999f
752401.63098711.796247f
762484.34761011.843876f
772569.91314711.891892f
782658.42572011.940299f
792749.98683011.989101f
802844.70147412.038304f
812942.67826612.087912f
823044.02956112.137931f
833148.87158212.188366f
843257.32455612.239221f
853369.51285212.290503f
863485.56512112.342216f
873605.61444512.394366f
883729.79849112.446959f
893858.25966512.500000f