φ
Signature Sequence no. 1
Casey Mongoven
March 4, 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: 814
orientation:
descending
temperament: φ8
+ 1
highest pitch:
870 Hertz
lowest pitch:
462.4820508108 Hertz
length:
46.5608 seconds
note value:
.0572 seconds
waveform: -saw
180° → triangle 0°
simulated spatial
location: 17° → -17°
dynamic values: p → ff
starting
attack: .005 seconds
attack
roll-off: .00002 seconds
starting
release: .008 seconds
release
roll-off: .000032 seconds
values used:
# pitch in
Hertz waveform pan value
dynamic attack release
1 870.0000000000
-saw 180° 15.00° p
.005000 .008000
2 851.8669586625
13.68°
.004980 .007968
3 834.1118566216 m
12.90° c
.004960 .007936
4 816.7268166489 o
10.26° r
.004940 .007904
5 799.7041256975 r
8.28° e
.004920 .007872
6 783.0362314802 p
7.50° s
.004900 .007840
7 766.7157391190 h
6.72° c
.004880 .007808
8
750.7354078643
6.00° e
.004860 .007776
9 735.0881478823
¦
5.40° n
.004840 .007744
10 719.7670171095
¦
4.80° d
.004820 .007712
11 704.7652181732
¦
3.48° o
.004800 .007680
12 690.0760953750
¦
2.82°
.004780 .007648
13 675.6931317388
¦
2.28°
¦ .004760 .007616
14 661.6099461189
¦
1.32°
¦ .004740 .007584
15 647.8202903691
¦
.60°
¦ .004720 .007552
16 634.3180465708
¦
0°
¦ .004700 .007520
17 621.0972243184
¦
-.60°
¦ .004680 .007488
18 608.1519580618
¦
-1.32°
¦ .004660 .007456
19 595.4765045043
¦
-2.28°
¦ .004640 .007424
20 583.0652400541
¦
-2.82°
¦ .004620 .007392
21 570.9126583295
¦
-3.48°
¦ .004600 .007360
22 559.0133677161
¦
-4.80°
¦ .004580 .007328
23 547.3620889747
¦
-5.40°
¦ .004560 .007296
24 535.9536528989
¦
-6.00°
¦ .004540 .007264
25 524.7829980218
¦
-6.78°
¦ .004520 .007232
26 513.8451683708
¦
-7.62°
¦ .004500 .007200
27 503.1353112684
¦
-8.40°
¦ .004480 .007168
28 492.6486751792
¦
-10.38° ¦
.004460 .007136
29 482.3806076023
¦
-13.08° ¦
.004440 .007104
30
472.3265530068
-13.80°
.004420 .007072
31 462.4820508108 triangle
0° -15.60° ff
.004400 .007040
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
graph:
-Dateien/image002.jpg)
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