φ
Signature Sequence no. 4
Casey Mongoven
May 14, 2005
description of
sequence: Arranging the numbers s + jφ (s,j ≥ 1) in increasing order, the sequence of s’s is the signature sequence of φ.
number of
members in sequence used: 1442
orientation:
ascending
temperament: φ12
+ 1
lowest pitch:
49 Hertz
highest pitch:
55.6428399456 Hertz
length:
128.338 seconds
note value:
.089 seconds
waveform: saw 0° →
square 0°
pan: mono
dynamic value:
ff
starting
attack: .005 seconds
attack
roll-off: .000045 seconds
starting
release: .008 seconds
release
roll-off: .000072 seconds
values used:
# pitch
in Hertz waveform attack release
1 49.0000000000
saw 0° .005000
.008000
2
49.1521753807
.004955 .007928
3 49.3048233604 m
.004910 .007856
4 49.4579454067 o
.004865 .007784
5 49.6115429918 r
.004820 .007712
6 49.7656175927 p
.004775 .007640
7 49.9201706908 h
.004730 .007568
8
50.0752037720
.004685 .007496
9 50.2307183271
¦
.004640 .007424
10 50.3867158514
¦
.004595 .007352
11 50.5431978446
¦
.004550 .007280
12 50.7001658115
¦
.004505 .007208
13 50.8576212612
¦
.004460 .007136
14 51.0155657077
¦
.004415 .007064
15 51.1740006696
¦ .004370
.006992
16 51.3329276704 ¦
.004325 .006920
17 51.4923482380
¦
.004280 .006848
18 51.6522639053
¦
.004235 .006776
19 51.8126762099
¦
.004190 .006704
20 51.9735866942
¦
.004145 .006632
21 52.1349969053
¦
.004100 .006560
22 52.2969083951
¦
.004055 .006488
23 52.4593227206
¦
.004010 .006416
24 52.6222414432
¦
.003965 .006344
25 52.7856661295
¦
.003920 .006272
26 52.9495983507
¦
.003875 .006200
27 53.1140396831
¦
.003830 .006128
28 53.2789917079
¦
.003785 .006056
29 53.4444560109
¦
.003740 .005984
30 53.6104341832
¦ .003695
.005912
31 53.7769278206
¦
.003650 .005840
32 53.9439385240
¦
.003605 .005768
33 54.1114678992
¦
.003560 .005696
34 54.2795175569
¦
.003515 .005624
35 54.4480891131
¦
.003470 .005552
36 54.6171841884
¦
.003425 .005480
37 54.7868044088
¦
.003380 .005408
38 54.9569514051
¦
.003335 .005336
39 55.1276268134
¦
.003290 .005264
40 55.2988322746 ¦
.003245 .005192
41
55.4705694349
.003200 .005120
42 55.6428399456 square
0° .003155 .005048
sequence values:
1 1 2 1 2 1 3 2
1 3 2 4 1 3 2 4 1 3 5 2 4 1 3 5 2 4 1 6 3 5 2 4 1 6 3 5 2 7 4 1 6 3 5 2 7 4 1 6
3 8 5 2 7 4 1 6 3 8 5 2 7 4 9 1 6 3 8 5 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 3 8 5
10 2 7 4 9 1 6 11 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 12 4 9 1 6 11 3 8 5 10 2
7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11
3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 8 13 5
10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5
10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8
13 5 18 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6
19 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7
20 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3
16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7
20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 22 1 14 6
19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13
5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15
7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17
9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6
19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3
16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21
13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5
18 10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18
10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18
10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18
10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5
18 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26
5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21
13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16
29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 32 11
24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 14 27
6 19 32 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9
22 1 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15 28 7 20 33 12
25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15
28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5
18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29
8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6
19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 17
30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15
28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26
5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24
3 37 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22
1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7
20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5
39 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 40 19 32
11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17
30 9 22 1 35 14 27 6 40 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2
36 15 28 7 41 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 40 19 32 11 24 3 37 16
29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 41 20 33 12 25 4 38 17 30 9 22 1
35 14 27 6 40 19 32 11 24 3 37 16 29 8 42 21 34 13 26 5 39 18 31 10 23 2 36 15
28 7 41 20 33 12 25 4 38 17 30 9 22 1
graph:
-Dateien/image002.jpg)
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