V(n) Rep
Sequence no. 1
Casey Mongoven
December 10, 2004
description of
sequence: number of unique representations of n using sums of
distinct elements of the Fibonacci sequence beginning 3,1,4,5,9,…
number of
members in sequence used: 1076
orientation:
descending
temperament: φ7
+ 1
highest pitch:
108 Hertz
lowest pitch:
44.7780910020 Hertz
length: 61.87
seconds
note value:
.0575 seconds
waveform: triangle
0° → square 0°
pan
values: 22.94° → -22.94°
dynamic
values: mp → fff
starting
attack: .005 seconds
attack
roll-off: .000075 seconds
starting
release: .008 seconds
release
roll-off: .00012 seconds
values used:
# pitch in Hertz
waveform pan value dynamic attack release
0
108.0000000000 triangle 0°
22.94° mp .005000 .008000
1
104.4041282829
21.18°
.004925 .007880
2
100.9279815048 m
19.41° c
.004850 .007760
3
97.5675734108 o
17.65° r
.004775 .007640
4 94.3190504688
r
15.88° e
.004700 .007520
5 91.1786874506
p
14.12° s
.004625 .007400
6 88.1428831599
h
12.35° c
.004550 .007280
7
85.2081563023
10.59° e
.004475 .007160
8 82.3711414939
¦
8.82° n
.004400 .007040
9 79.6285854013
¦
7.06° d
.004325 .006920
10 76.9773430113
¦
5.29° o
.004250 .006800
11
74.4143740244
¦
3.53°
.004175
.006680
12
71.9367393679
¦
1.76° ¦
.004100 .006560
13 69.5415978261
¦
0° ¦
.004025 .006440
14
67.2262027819
¦
-1.76° ¦
.003950 .006320
15
64.9878990668
¦
-3.53° ¦
.003875 .006200
16
62.8241199167
¦
-5.29° ¦
.003800 .006080
17 60.7323840282
¦
-7.06° ¦
.003725 .005960
18 58.7102927130
¦
-8.82° ¦
.003650 .005840
19 56.7555271476
¦
-10.59° ¦ .003575 .005720
20 54.8658457137
¦
-12.35° ¦ .003500 .005600
21 53.0390814282
¦
-14.12° ¦ .003425 .005480
22 51.2731394578
¦
-15.88° ¦ .003350 .005360
23 49.5659947168
¦
-17.65° ¦ .003275 .005240
24
47.9156895453
¦
-19.41° ¦
.003200 .005120
25 46.3203314634
-21.18°
.003125 .005000
26 44.7780910020
square 0° -22.94° fff .003050
.004880
sequence
values:
1 0 1 2 2 1 1 2 3 2 0 2 3 3 2 1 3 4 3 1 2 3 4
3 0 3 5 4 2 2 4 5 3 0 3 4 4
3 1 4 6 5 2 3 5 6 4 0 4 6 5 3 2 5 6 4 1 3 4 5 4 0 4 7 6 3 3
6 8 5 0 5 7 6 4 2 6 8 6 2 4 6 7 5 0 5 8 6 3 3 6 7 4 0
4 5 5 4 1 5 8 7 3 4 7 9 6 0 6 9 8 5 3 8 10 7 2 5 7 8
6 0 6 10 8 4 4 8 10 6 0 6 8 7 5 2 7 10 8 3 5 8 9 6 0
6 9 7 4 3 7 8 5 1 4 5 6 5 0 5 9 8 4 4 8 11 7 0 7 10 9
6 3 9 12 9 3 6 9 11 8 0 8 13 10 5 5 10 12 7 0 7 9 8 6
2 8 12 10 4 6 10 12 8 0 8 12 10 6 4 10 12 8 2 6 8 9 7 0 7 12 10 5 5 10 13 8 0 8 11 9 6 3 9 12 9 3 6 9 10 7 0 7 11 8 4 4 8 9 5 0 5 6 6 5 1 6 10 9 4 5 9
12 8 0 8 12 11 7 4 11 14 10 3 7 10 12 9 0 9 15 12 6 6
12 15 9 0 9 12 11 8 3 11 16 13 5 8 13 15 10 0 10 15 12 7 5 12 14 9 2 7 9 10 8 0
8 14 12 6 6 12 16 10 0 10 14 12 8 4 12 16 12 4 8 12
14 10 0 10 16 12 6 6 12 14 8 0 8 10 9 7 2 9 14 12 5 7
12 15 10 0 10 15 13 8 5 13 16 11 3 8 11 12 9 0 9 15 12 6 6
12 15 9 0 9 12 10 7 3 10 14 11 4 7 11 12 8 0 8 12 9 5 4 9 10 6 1 5 6 7 6 0 6 11
10 5 5 10 14 9 0 9 13 12 8 4 12 16 12 4 8 12 15 11 0
11 18 14 7 7 14 17 10 0 10 13 12 9 3 12 18 15 6 9 15
18 12 0 12 18 15 9 6 15 18 12 3 9 12 14 11 0 11 19 16 8 8
16 21 13 0 13 18 15 10 5 15 20 15 5 10 15 17 12 0 12 19 14 7 7 14 16 9 0 9 11 10 8 2 10 16 14 6 8 14 18 12 0 12 18 16 10
6 16 20 14 4 10 14 16 12 0 12 20 16 8 8 16 20 12 0 12
16 14 10 4 14 20 16 6 10 16 18 12 0 12 18 14 8 6 14 16 10 2 8 10 11 9 0 9 16 14
7 7 14 19 12 0 12 17 15 10 5 15 20 15 5 10 15 18 13 0
13 21 16 8 8 16 19 11 0 11 14 12 9 3 12 18 15 6 9 15
18 12 0 12 18 15 9 6 15 18 12 3 9 12 13 10 0 10 17 14 7 7
14 18 11 0 11 15 12 8 4 12 16 12 4 8 12 13 9 0 9 14 10 5 5
10 11 6 0 6 7 7 6 1 7 12 11 5 6 11 15 10 0 10 15 14 9
5 14 18 13 4 9 13 16 12 0 12 20 16 8 8 16 20 12 0 12
16 15 11 4 15 22 18 7 11 18 21 14 0 14 21 17 10 7 17 20 13 3 10 13 15 12 0 12
21 18 9 9 18 24 15 0 15 21 18 12 6 18 24 18 6 12 18
21 15 0 15 24 18 9 9 18 21 12 0 12 15 14 11 3 14 22
19 8 11 19 24 16 0 16 24 21 13 8 21 26 18 5 13 18 20 15 0 15 25 20 10 10 20 25 15 0 15 20 17 12 5 17 24 19 7 12 19 21 14 0 14 21
16 9 7 16 18 11 2 9 11 12 10 0 10 18 16 8 8 16 22 14
0 14 20 18 12 6 18 24 18 6 12 18 22 16 0 16 26 20 10 10
20 24 14 0 14 18 16 12 4 16 24 20 8 12 20 24 16 0 16 24 20 12 8 20 24 16 4 12
16 18 14 0 14 24 20 10 10 20 26 16 0 16 22 18 12 6 18
24 18 6 12 18 20 14 0 14 22 16 8 8 16 18 10 0 10 12
11 9 2 11 18 16 7 9 16 21 14 0 14 21 19 12 7 19 24 17 5 12 17 20 15 0 15 25 20
10 10 20 25 15 0 15 20 18 13 5 18 26 21 8 13 21 24 16
0 16 24 19 11 8 19 22 14 3 11 14 15 12 0 12 21 18 9 9
18 24 15 0 15 21 18 12 6 18 24 18 6 12 18 21 15 0 15 24 18 9 9 18 21 12 0 12 15 13 10 3 13 20 17 7 10 17 21 14 0 14 21
18 11 7 18 22 15 4 11 15 16 12 0 12 20 16 8 8 16 20
12 0 12 16 13 9 4 13 18 14 5 9 14 15 10 0 10 15 11 6 5 11 12 7 1 6 7 8
graph:
%20Rep%20Sequence%20I%20(2)-Dateien/image002.jpg)