W(n) Rep
Sequence no. 1
Casey Mongoven
March 11, 2005
description of
sequence: number of unique representations of n using sums of distinct
elements of the Fibonacci sequence beginning 2,5,7,12,19,…
number of
members in sequence used: 2351
orientation:
descending
temperament: φ6
+ 1
highest pitch:
764 Hertz
lowest pitch:
186.5259903116 Hertz
length:
103.444 seconds
note value:
.044 seconds
waveform: triangle
0° → square 0°
simulated
spatial location: -16° → 16°
dynamic: pp → fff
attack: .0021
seconds
release: .0034
seconds
values used:
# pitch in Hertz waveform pan
value dynamic
0 764.0000000000 triangle
0° -17.28° pp
1
723.6711869620
-14.78°
2 685.4711869620 m
-12.57° c
3 649.2876276139 o
-10.62° r
4 615.0140682658 r
-8.88° e
5 582.5496868851 p
-7.35° s
6 551.7989834718 h
-6.00° c
7
522.6714991275
-4.80° e
8 495.0815499539 ¦
-3.73°
n
9 468.9479749976 ¦
-2.79° d
10 444.1938974999
¦ -1.96°
o
11 420.7464987500
¦ -1.23°
12 398.5368038750
¦ -.58°
¦
13 377.4994789375
¦ 0°
¦
14 357.5726387438
¦ .58°
¦
15 338.6976647969
¦ 1.23°
¦
16 320.8190328597 ¦
1.96° ¦
17 303.8841496198
¦ 2.79°
¦
18 287.8431979769
¦ 3.73°
¦
19 272.6489904959
¦
4.80° ¦
20 258.2568305970
¦
6.00° ¦
21 244.6243810722
¦ 7.35°
¦
22 231.7115395424
¦ 8.88°
¦
23
219.4803204888
¦
10.62° ¦
24 207.8947435116
¦
12.57° ¦
25 196.9207274872
14.78°
26 186.5259903116 square
0° 17.28° fff
sequence
values:
0 1 0 0 1 0 2 0 1 0 0 2 0 2 0 0 1 0 3 0 2 0 0 2 0 3 0
1 0 0 3 0 3 0 0 2 0 4 0 2 0 0 3 0 3 0 0 1 0 4 0 3 0 0 3 0 5 0 2 0 0 4 0 4 0 0 2
0 5 0 3 0 0 3 0 4 0 1 0 0 4 0 4 0 0 3 0 6 0 3 0 0 5 0 5 0 0 2 0 6 0 4 0 0 4 0 6
0 2 0 0 5 0 5 0 0 3 0 6 0 3 0 0 4 0 4 0 0 1 0 5 0 4 0 0 4 0 7 0 3 0 0 6 0 6 0 0
3 0 8 0 5 0 0 5 0 7 0 2 0 0 6 0 6 0 0 4 0 8 0 4 0 0 6 0 6 0 0 2 0 7 0 5 0 0 5 0
8 0 3 0 0 6 0 6 0 0 3 0 7 0 4 0 0 4 0 5 0 1 0 0 5 0 5 0 0 4 0 8 0 4 0 0 7 0 7 0
0 3 0 9 0 6 0 0 6 0 9 0 3 0 0 8 0 8 0 0 5 0 10 0 5 0 0 7 0 7 0 0 2 0 8 0 6 0 0
6 0 10 0 4 0 0 8 0 8 0 0 4 0 10 0 6 0 0 6 0 8 0 2 0 0 7 0 7 0 0 5 0 10 0 5 0 0
8 0 8 0 0 3 0 9 0 6 0 0 6 0 9 0 3 0 0 7 0 7 0 0 4 0 8 0 4 0 0 5 0 5 0 0 1 0 6 0
5 0 0 5 0 9 0 4 0 0 8 0 8 0 0 4 0 11 0 7 0 0 7 0 10 0 3 0 0 9 0 9 0 0 6 0 12 0
6 0 0 9 0 9 0 0 3 0 11 0 8 0 0 8 0 13 0 5 0 0 10 0 10 0 0 5 0 12 0 7 0 0 7 0 9
0 2 0 0 8 0 8 0 0 6 0 12 0 6 0 0 10 0 10 0 0 4 0 12 0 8 0 0 8 0 12 0 4 0 0 10 0
10 0 0 6 0 12 0 6 0 0 8 0 8 0 0 2 0 9 0 7 0 0 7 0 12 0 5 0 0 10 0 10 0 0 5 0 13
0 8 0 0 8 0 11 0 3 0 0 9 0 9 0 0 6 0 12 0 6 0 0 9 0 9 0 0 3 0 10 0 7 0 0 7 0 11
0 4 0 0 8 0 8 0 0 4 0 9 0 5 0 0 5 0 6 0 1 0 0 6 0 6 0 0 5 0 10 0 5 0 0 9 0 9 0
0 4 0 12 0 8 0 0 8 0 12 0 4 0 0 11 0 11 0 0 7 0 14 0 7 0 0 10 0 10 0 0 3 0 12 0
9 0 0 9 0 15 0 6 0 0 12 0 12 0 0 6 0 15 0 9 0 0 9 0 12 0 3 0 0 11 0 11 0 0 8 0
16 0 8 0 0 13 0 13 0 0 5 0 15 0 10 0 0 10 0 15 0 5 0 0 12 0 12 0 0 7 0 14 0 7 0
0 9 0 9 0 0 2 0 10 0 8 0 0 8 0 14 0 6 0 0 12 0 12 0 0 6 0 16 0 10 0 0 10 0 14 0
4 0 0 12 0 12 0 0 8 0 16 0 8 0 0 12 0 12 0 0 4 0 14 0 10 0 0 10 0 16 0 6 0 0 12
0 12 0 0 6 0 14 0 8 0 0 8 0 10 0 2 0 0 9 0 9 0 0 7 0 14 0 7 0 0 12 0 12 0 0 5 0
15 0 10 0 0 10 0 15 0 5 0 0 13 0 13 0 0 8 0 16 0 8 0 0 11 0 11 0 0 3 0 12 0 9 0
0 9 0 15 0 6 0 0 12 0 12 0 0 6 0 15 0 9 0 0 9 0 12 0 3 0 0 10 0 10 0 0 7 0 14 0
7 0 0 11 0 11 0 0 4 0 12 0 8 0 0 8 0 12 0 4 0 0 9 0 9 0 0 5 0 10 0 5 0 0 6 0 6
0 0 1 0 7 0 6 0 0 6 0 11 0 5 0 0 10 0 10 0 0 5 0 14 0 9 0 0 9 0 13 0 4 0 0 12 0
12 0 0 8 0 16 0 8 0 0 12 0 12 0 0 4 0 15 0 11 0 0 11 0 18 0 7 0 0 14 0 14 0 0 7
0 17 0 10 0 0 10 0 13 0 3 0 0 12 0 12 0 0 9 0 18 0 9 0 0 15 0 15 0 0 6 0 18 0
12 0 0 12 0 18 0 6 0 0 15 0 15 0 0 9 0 18 0 9 0 0 12 0 12 0 0 3 0 14 0 11 0 0
11 0 19 0 8 0 0 16 0 16 0 0 8 0 21 0 13 0 0 13 0 18 0 5 0 0 15 0 15 0 0 10 0 20
0 10 0 0 15 0 15 0 0 5 0 17 0 12 0 0 12 0 19 0 7 0 0 14 0 14 0 0 7 0 16 0 9 0 0
9 0 11 0 2 0 0 10 0 10 0 0 8 0 16 0 8 0 0 14 0 14 0 0 6 0 18 0 12 0 0 12 0 18 0
6 0 0 16 0 16 0 0 10 0 20 0 10 0 0 14 0 14 0 0 4 0 16 0 12 0 0 12 0 20 0 8 0 0
16 0 16 0 0 8 0 20 0 12 0 0 12 0 16 0 4 0 0 14 0 14 0 0 10 0 20 0 10 0 0 16 0
16 0 0 6 0 18 0 12 0 0 12 0 18 0 6 0 0 14 0 14 0 0 8 0 16 0 8 0 0 10 0 10 0 0 2
0 11 0 9 0 0 9 0 16 0 7 0 0 14 0 14 0 0 7 0 19 0 12 0 0 12 0 17 0 5 0 0 15 0 15
0 0 10 0 20 0 10 0 0 15 0 15 0 0 5 0 18 0 13 0 0 13 0 21 0 8 0 0 16 0 16 0 0 8
0 19 0 11 0 0 11 0 14 0 3 0 0 12 0 12 0 0 9 0 18 0 9 0 0 15 0 15 0 0 6 0 18 0
12 0 0 12 0 18 0 6 0 0 15 0 15 0 0 9 0 18 0 9 0 0 12 0 12 0 0 3 0 13 0 10 0 0
10 0 17 0 7 0 0 14 0 14 0 0 7 0 18 0 11 0 0 11 0 15 0 4 0 0 12 0 12 0 0 8 0 16
0 8 0 0 12 0 12 0 0 4 0 13 0 9 0 0 9 0 14 0 5 0 0 10 0 10 0 0 5 0 11 0 6 0 0 6
0 7 0 1 0 0 7 0 7 0 0 6 0 12 0 6 0 0 11 0 11 0 0 5 0 15 0 10 0 0 10 0 15 0 5 0
0 14 0 14 0 0 9 0 18 0 9 0 0 13 0 13 0 0 4 0 16 0 12 0 0 12 0 20 0 8 0 0 16 0 16
0 0 8 0 20 0 12 0 0 12 0 16 0 4 0 0 15 0 15 0 0 11 0 22 0 11 0 0 18 0 18 0 0 7
0 21 0 14 0 0 14 0 21 0 7 0 0 17 0 17 0 0 10 0 20 0 10 0 0 13 0 13 0 0 3 0 15 0
12 0 0 12 0 21 0 9 0 0 18 0 18 0 0 9 0 24 0 15 0 0 15 0 21 0 6 0 0 18 0 18 0 0
12 0 24 0 12 0 0 18 0 18 0 0 6 0 21 0 15 0 0 15 0 24 0 9 0 0 18 0 18 0 0 9 0 21
0 12 0 0 12 0 15 0 3 0 0 14 0 14 0 0 11 0 22 0 11 0 0 19 0 19 0 0 8 0 24 0 16 0
0 16 0 24 0 8 0 0 21 0 21 0 0 13 0 26 0 13 0 0 18 0 18 0 0 5 0 20 0 15 0 0 15 0
25 0 10 0 0 20 0 20 0 0 10 0 25 0 15 0 0 15 0 20 0 5 0 0 17 0 17 0 0 12 0 24 0
12 0 0 19 0 19 0 0 7 0 21 0 14 0 0 14 0 21 0 7 0 0 16 0 16 0 0 9 0 18 0 9 0 0
11 0 11 0 0 2 0 12 0 10 0 0 10 0 18 0 8 0 0 16 0 16 0 0 8 0 22 0 14 0 0 14 0 20
0 6 0 0 18 0 18 0 0 12 0 24 0 12 0 0 18 0 18 0 0 6 0 22 0 16 0 0 16 0 26 0 10 0
0 20 0 20 0 0 10 0 24 0 14 0 0 14 0 18 0 4 0 0 16 0 16 0 0 12 0 24 0 12 0 0 20
0 20 0 0 8 0 24 0 16 0 0 16 0 24 0 8 0 0 20 0 20 0 0 12 0 24 0 12 0 0 16 0 16 0
0 4 0 18 0 14 0 0 14 0 24 0 10 0 0 20 0 20 0 0 10 0 26 0 16 0 0 16 0 22 0 6 0 0
18 0 18 0 0 12 0 24 0 12 0 0 18 0 18 0 0 6 0 20 0 14 0 0 14 0 22 0 8 0 0 16 0
16 0 0 8 0 18 0 10 0 0 10 0 12 0 2 0 0 11 0 11 0 0 9 0 18 0 9 0 0 16 0 16 0 0 7
0 21 0 14 0 0 14 0 21 0 7 0 0 19 0 19 0 0 12 0 24 0 12 0 0 17 0 17 0 0 5 0 20 0
15 0 0 15 0 25 0 10 0 0 20 0 20 0 0 10 0 25 0 15 0 0 15 0 20 0 5 0 0 18 0 18 0
0 13 0 26 0 13 0 0 21 0 21 0 0 8 0 24 0 16 0 0 16 0 24 0 8 0 0 19 0 19 0 0 11 0
22 0 11 0 0 14 0 14 0 0 3 0 15 0 12 0 0 12 0 21 0 9 0 0 18 0 18 0 0 9 0 24 0 15
0 0 15 0 21 0 6 0 0 18 0 18 0 0 12 0 24 0 12 0 0 18 0 18 0 0 6 0 21 0 15 0 0 15
0 24 0 9 0 0 18 0 18 0 0 9 0 21 0 12 0 0 12 0 15 0 3 0 0 13 0 13 0 0 10 0 20 0
10 0 0 17 0 17 0 0 7 0 21 0 14 0 0 14 0 21 0 7 0 0 18 0 18 0 0 11 0 22 0 11 0 0
15 0 15 0 0 4 0 16 0 12 0 0 12 0 20 0 8 0 0 16 0 16 0 0 8 0 20 0 12 0 0 12 0 16
0 4 0 0 13 0 13 0 0 9 0 18 0 9 0 0 14 0 14 0 0 5 0 15 0 10 0 0 10 0 15 0 5 0 0
11 0 11 0 0 6 0 12 0 6 0 0 7 0 7 0 0 1 0 8
graph:
%20Rep%20Sequence%20I%20(2)-Dateien/image002.jpg)
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