V(n) Rep
Sequence no. 2
Casey Mongoven
March 19, 2005
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: 2817
orientation:
descending
temperament: φ5
+ 1
highest pitch:
2216 Hertz
lowest pitch:
58.9947245147 Hertz
length:
118.314 seconds
note value:
.042 seconds
waveform: saw 0° →
square 0°
simulated
spatial location: -18° → 18°
dynamic
values: p → 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 pan value
dynamic attack
release
0 2216.0000000000 saw
0° -16.71°
p .005000
.008000
1
2032.7105995772
-15.27°
.004955 .007928
2 1864.5813996541 m
-13.92° c
.004910 .007856
3 1710.3584724058 o
-12.66° r
.004865 .007784
4 1568.8916046642 r
-11.48° e
.004820 .007712
5 1439.1257194894 p
-10.38° s
.004775 .007640
6 1320.0930072790 h
-9.36° c
.004730 .007568
7
1210.9057077273
-8.40° e
.004685 .007496
8 1110.7494888022
¦
-7.50° n
.004640 .007424
9 1018.8773733589
¦
-6.66° d
.004595 .007352
10 934.6041680938
¦
-5.88° o
.004550 .007280
11 857.3013532912
¦
-5.14°
.004505 .007208
12 786.3923952468
¦
-4.46° ¦
.004460 .007136
13 721.3484464102
¦
-3.82° ¦
.004415 .007064
14 661.6844011762
¦
-3.22° ¦
.004370 .006992
15 606.9552779088
¦
-2.66° ¦
.004325 .006920
16 556.7529002141
¦
-2.14° ¦
.004280 .006848
17 510.7028527123
¦
-1.65° ¦
.004235 .006776
18 468.4616886023
¦
-1.20° ¦
.004190 .006704
19 429.7143681939
¦
-.77° ¦
.004145 .006632
20 394.1719093043
¦
-.37° ¦
.004100 .006560
21 361.5692319939
¦
0°
¦ .004055 .006488
22 331.6631815681
¦
.37° ¦
.004010 .006416
23 304.2307151006
¦
.78° ¦
.003965 .006344
24 279.0672379522
¦
1.21° ¦
.003920 .006272
25 255.9850778791
¦
1.67° ¦
.003875 .006200
26 234.8120853513
¦
2.17° ¦
.003830 .006128
27 215.3903496400
¦
2.71° ¦
.003785 .006056
28 197.5750211011
¦
3.29° ¦
.003740 .005984
29 181.2332308681
¦
3.91° ¦
.003695 .005912
30 166.2430999013
¦
4.58° ¦
.003650 .005840
31 152.4928299982
¦
5.29° ¦
.003605 .005768
32 139.8798699895
¦
6.06° ¦
.003560 .005696
33 128.3101509004
¦
6.89° ¦
.003515 .005624
34 117.6973843721
¦
7.78° ¦
.003470 .005552
35 107.9624191135
¦
8.74° ¦
.003425 .005480
36
99.0326505813
¦
9.77° ¦
.003380 .005408
37
90.8414794859
¦
10.88°
¦ .003335
.005336
38
83.3278150868
¦
12.07° ¦ .003290
.005264
39
76.4356195697
¦
13.35° ¦
.003245 .005192
40
70.1134901104
¦
14.72° ¦
.003200 .005120
41
64.3142755057
16.20°
.003155 .005048
42
58.9947245147 square 0°
17.79° ff
.003110 .004976
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 7 0 7 13
12 6 6 12 17 11 0 11 16 15 10 5 15 20 15 5 10 15 19
14 0 14 23 18 9 9 18 22 13 0 13 17 16 12 4 16 24 20 8
12 20 24 16 0 16 24 20 12 8 20 24 16 4 12 16 19 15 0 15 26 22 11 11 22 29 18 0 18 25 21 14 7 21 28 21 7 14 21 24 17 0 17 27
20 10 10 20 23 13 0 13 16 15 12 3 15 24 21 9 12 21 27
18 0 18 27 24 15 9 24 30 21 6 15 21 24 18 0 18 30 24 12 12
24 30 18 0 18 24 21 15 6 21 30 24 9 15 24 27 18 0 18 27 21 12 9 21 24 15 3 12
15 17 14 0 14 25 22 11 11 22 30 19 0 19 27 24 16 8 24
32 24 8 16 24 29 21 0 21 34 26 13 13 26 31 18 0 18 23
20 15 5 20 30 25 10 15 25 30 20 0 20 30 25 15 10 25 30 20 5 15 20 22 17 0 17 29
24 12 12 24 31 19 0 19 26 21 14 7 21 28 21 7 14 21 23
16 0 16 25 18 9 9 18 20 11 0 11 13 12 10 2 12 20 18 8
10 18 24 16 0 16 24 22 14 8 22 28 20 6 14 20 24 18 0 18 30 24 12 12 24 30 18 0 18 24 22 16 6 22 32 26 10 16 26 30 20 0 20 30
24 14 10 24 28 18 4 14 18 20 16 0 16 28 24 12 12 24
32 20 0 20 28 24 16 8 24 32 24 8 16 24 28 20 0 20 32 24 12 12
24 28 16 0 16 20 18 14 4 18 28 24 10 14 24 30 20 0 20 30 26 16 10 26 32 22 6 16
22 24 18 0 18 30 24 12 12 24 30 18 0 18 24 20 14 6 20
28 22 8 14 22 24 16 0 16 24 18 10 8 18 20 12 2 10 12 13 11 0 11 20 18 9 9 18 25 16 0 16 23 21 14 7 21 28 21 7 14 21 26 19 0 19 31
24 12 12 24 29 17 0 17 22 20 15 5 20 30 25 10 15 25
30 20 0 20 30 25 15 10 25 30 20 5 15 20 23 18 0 18 31 26 13 13
26 34 21 0 21 29 24 16 8 24 32 24 8 16 24 27 19 0 19 30 22 11 11 22 25 14 0 14 17 15 12 3 15 24 21 9 12 21 27 18 0 18 27
24 15 9 24 30 21 6 15 21 24 18 0 18 30 24 12 12 24 30
18 0 18 24 21 15 6 21 30 24 9 15 24 27 18 0 18 27 21 12 9 21 24 15 3 12 15 16
13 0 13 23 20 10 10 20 27 17 0 17 24 21 14 7 21 28 21
7 14 21 25 18 0 18 29 22 11 11 22 26 15 0 15 19 16 12
4 16 24 20 8 12 20 24 16 0 16 24 20 12 8 20 24 16 4 12 16 17 13 0 13 22 18 9 9 18 23 14 0 14 19 15 10 5 15 20 15 5 10 15 16 11 0 11 17
12 6 6 12 13 7 0 7 8 8 7 1
8 14 13 6 7 13 18 12 0 12 18 17 11 6 17 22 16 5 11 16 20 15 0 15 25 20 10 10 20 25 15 0 15 20 19 14 5 19 28 23 9 14 23 27 18 0 18 27
22 13 9 22 26 17 4 13 17 20 16 0 16 28 24 12 12 24 32
20 0 20 28 24 16 8 24 32 24 8 16 24 28 20 0 20 32 24 12 12
24 28 16 0 16 20 19 15 4 19 30 26 11 15 26 33 22 0 22 33 29 18 11 29 36 25 7 18
25 28 21 0 21 35 28 14 14 28 35 21 0 21 28 24 17 7 24
34 27 10 17 27 30 20 0 20 30 23 13 10 23 26 16 3 13 16 18 15 0 15 27 24 12 12 24 33 21 0 21 30 27 18 9 27 36 27 9 18 27 33 24 0 24 39
30 15 15 30 36 21 0 21 27 24 18 6 24 36 30 12 18 30
36 24 0 24 36 30 18 12 30 36 24 6 18 24 27 21 0 21 36 30 15 15
30 39 24 0 24 33 27 18 9 27 36 27 9 18 27 30 21 0 21 33 24 12 12 24 27 15 0 15 18 17 14 3 17 28 25 11 14 25 33 22 0 22 33
30 19 11 30 38 27 8 19 27 32 24 0 24 40 32 16 16 32
40 24 0 24 32 29 21 8 29 42 34 13 21 34 39 26 0 26 39 31 18 13 31 36 23 5 18 23
25 20 0 20 35 30 15 15 30 40 25 0 25 35 30 20 10 30
40 30 10 20 30 35 25 0 25 40 30 15 15 30 35 20 0 20
25 22 17 5 22 34 29 12 17 29 36 24 0 24 36 31 19 12 31 38 26 7 19 26 28 21 0 21
35 28 14 14 28 35 21 0 21 28 23 16 7 23 32 25 9 16 25
27 18 0 18 27 20 11 9 20 22 13 2 11 13 14 12 0 12 22 20 10 10
20 28 18 0 18 26 24 16 8 24 32 24 8 16 24 30 22 0 22 36 28 14 14 28 34 20 0 20 26 24 18 6 24 36 30 12 18 30 36 24 0 24 36
30 18 12 30 36 24 6 18 24 28 22 0 22 38 32 16 16 32
42 26 0 26 36 30 20 10 30 40 30 10 20 30 34 24 0 24 38 28 14 14 28 32 18 0 18 22 20 16 4 20 32 28 12 16 28 36 24 0 24 36
32 20 12 32 40 28 8 20 28 32 24 0 24 40 32 16 16 32
40 24 0 24 32 28 20 8 28 40 32 12 20 32 36 24 0 24 36 28 16 12 28 32 20 4 16 20
22 18 0 18 32 28 14 14 28 38 24 0 24 34 30 20 10 30
40 30 10 20 30 36 26 0 26 42 32 16 16 32 38 22 0 22
28 24 18 6 24 36 30 12 18 30 36 24 0 24 36 30 18 12 30 36 24 6 18 24 26 20 0 20
34 28 14 14 28 36 22 0 22 30 24 16 8 24 32 24 8 16 24
26 18 0 18 28 20 10 10 20 22 12 0 12 14 13 11 2 13 22
20 9 11 20 27 18 0 18 27 25 16 9 25 32 23 7 16 23 28 21 0 21 35 28 14 14 28 35 21 0 21 28 26 19 7 26 38 31 12 19 31 36 24 0 24 36
29 17 12 29 34 22 5 17 22 25 20 0 20 35 30 15 15 30
40 25 0 25 35 30 20 10 30 40 30 10 20 30 35 25 0 25 40 30 15 15 30 35 20 0 20 25 23 18 5 23 36 31 13 18 31 39 26 0 26 39
34 21 13 34 42 29 8 21 29 32 24 0 24 40 32 16 16 32
40 24 0 24 32 27 19 8 27 38 30 11 19 30 33 22 0 22 33 25 14 11 25 28 17 3 14 17
18 15 0 15 27 24 12 12 24 33 21 0 21 30 27 18 9 27 36
27 9 18 27 33 24 0 24 39 30 15 15 30 36 21 0 21 27 24
18 6 24 36 30 12 18 30 36 24 0 24 36 30 18 12 30 36 24 6 18 24 27 21 0 21 36 30
15 15 30 39 24 0 24 33 27 18 9 27 36 27 9 18 27 30 21
0 21 33 24 12 12 24 27 15 0 15 18 16 13 3 16 26 23 10
13 23 30 20 0 20 30 27 17 10 27 34 24 7 17 24 28 21 0 21 35 28 14 14 28 35 21 0 21 28 25 18 7 25 36 29 11 18 29 33 22 0 22 33
26 15 11 26 30 19 4 15 19 20 16 0 16 28 24 12 12 24
32 20 0 20 28 24 16 8 24 32 24 8 16 24 28 20 0 20 32 24 12 12
24 28 16 0 16 20 17 13 4 17 26 22 9 13 22 27 18 0 18 27 23 14 9 23 28 19 5 14
19 20 15 0 15 25 20 10 10 20 25 15 0 15 20 16 11 5 16
22 17 6 11 17 18 12 0 12 18 13 7 6 13 14 8 1 7 8 9
graph:
%20Rep%20Sequence%20II%20(2)-Dateien/image002.jpg){kind=small}
letzte
Partitur nächste Partitur
Verzeichniseintrag zu diesem Werk