U(n) Rep
Sequence no. 2
Casey Mongoven
description of sequence: number of unique
representations of n using sums of distinct elements of the Fibonacci sequence beginning
1,4,5,9,14,…
number of members in sequence used: 2817
orientation: descending
temperament: φ8
+ 1
highest pitch: 138
Hertz
lowest pitch: 67.4318073260
Hertz
length: 152.118 seconds
note value: .054 seconds
waveform: saw 0° →
square 0°
simulated spatial location: 20° →
-20°
dynamic: mf → ff
starting attack: .005 seconds
attack roll-off: .00005 seconds
starting release: .008 seconds
release roll-off: .00008 seconds
values used:
# pitch in Hertz
waveform pan value dynamic attack release
0
138.0000000000 saw 0°
18.59° mf .005000 .008000
1
135.1237244775
16.7°
.004950 .007920
2
132.3073979469 m
14.96° c
.004900 .007840
3
129.5497709167 o
13.34° r
.004850 .007760
4
126.8496199382 r
11.84° e
.004800 .007680
5
124.2057470624 p
10.45° s
.004750 .007600
6
121.6169793085 h
9.17° c
.004700 .007520
7
119.0821681440
7.98° e
.004650 .007440
8
116.6001889744
¦ 6.88°
n
.004600 .007360
9
114.1699406450
¦ 5.86°
d
.004550 .007280
10 111.7903449516
¦ 4.91°
o
.004500 .007200
11 109.4603461629
¦ 4.04°
.004450 .007120
12 107.1789105517
¦
3.23°
¦ .004400 .007040
13 104.9450259361
¦
2.48° ¦
.004350 .006960
14 102.7577012310
¦
1.79°
¦ .004300 .006880
15 100.6159660078
¦
1.15°
¦ .004250 .006800
16
98.5188700643 ¦
.55°
¦ .004200 .006720
17 96.4654830029
¦
0°
¦ .004150 .006640
18
94.4548938179
¦
-.55°
¦ .004100 .006560
19
92.4862104913
¦
-1.14°
¦ .004050 .006480
20
90.5585595971
¦
-1.78° ¦
.004000 .006400
21
88.6710859136
¦
-2.47° ¦
.003950 .006320
22
86.8229520443
¦
-3.21°
¦ .003900 .006240
23
85.0133380460
¦
-4.01°
¦ .003850 .006160
24 83.2414410655
¦
-4.88°
¦ .003800 .006080
25
81.5064749830
¦
-5.81°
¦ .003750 .006000
26
79.8076700633
¦
-6.81° ¦
.003700 .005920
27
78.1442726146
¦ -7.89°
¦ .003650 .005840
28
76.5155446542
¦
-9.05°
¦ .003600 .005760
29
74.9207635804
¦
-10.31° ¦
.003550 .005680
30
73.3592218527
¦
-11.66° ¦
.003500 .005600
31
71.8302266776
¦
-13.12° ¦
.003450 .005520
32
70.3330997011
¦
-14.7°
¦ .003400 .005440
33
68.8671767076
-16.39°
.003350 .005360
34
67.4318073260 square 0°
-18.22° ff
.003300 .005280
sequence values:
1 0 0 1 2 1 0 0 2 2 0 0 1 3 2 0 0 2 3 1 0 0 3 3 0 0
2 4 2 0 0 3 3 0 0 1 4 3 0 0 3 5 2 0 0 4 4 0 0 2 5 3 0 0 3 4 1 0 0 4 4 0 0 3 6 3
0 0 5 5 0 0 2 6 4 0 0 4 6 2 0 0 5 5 0 0 3 6 3 0 0 4 4 0 0 1 5 4 0 0 4 7 3 0 0 6
6 0 0 3 8 5 0 0 5 7 2 0 0 6 6 0 0 4 8 4 0 0 6 6 0 0 2 7 5 0 0 5 8 3 0 0 6 6 0 0
3 7 4 0 0 4 5 1 0 0 5 5 0 0 4 8 4 0 0 7 7 0 0 3 9 6 0 0 6 9 3 0 0 8 8 0 0 5 10
5 0 0 7 7 0 0 2 8 6 0 0 6 10 4 0 0 8 8 0 0 4 10 6 0 0 6 8 2 0 0 7 7 0 0 5 10 5
0 0 8 8 0 0 3 9 6 0 0 6 9 3 0 0 7 7 0 0 4 8 4 0 0 5 5 0 0 1 6 5 0 0 5 9 4 0 0 8
8 0 0 4 11 7 0 0 7 10 3 0 0 9 9 0 0 6 12 6 0 0 9 9 0 0 3 11 8 0 0 8 13 5 0 0 10
10 0 0 5 12 7 0 0 7 9 2 0 0 8 8 0 0 6 12 6 0 0 10 10 0 0 4 12 8 0 0 8 12 4 0 0
10 10 0 0 6 12 6 0 0 8 8 0 0 2 9 7 0 0 7 12 5 0 0 10 10 0 0 5 13 8 0 0 8 11 3 0
0 9 9 0 0 6 12 6 0 0 9 9 0 0 3 10 7 0 0 7 11 4 0 0 8 8 0 0 4 9 5 0 0 5 6 1 0 0
6 6 0 0 5 10 5 0 0 9 9 0 0 4 12 8 0 0 8 12 4 0 0 11 11 0 0 7 14 7 0 0 10 10 0 0
3 12 9 0 0 9 15 6 0 0 12 12 0 0 6 15 9 0 0 9 12 3 0 0 11 11 0 0 8 16 8 0 0 13
13 0 0 5 15 10 0 0 10 15 5 0 0 12 12 0 0 7 14 7 0 0 9 9 0 0 2 10 8 0 0 8 14 6 0
0 12 12 0 0 6 16 10 0 0 10 14 4 0 0 12 12 0 0 8 16 8 0 0 12 12 0 0 4 14 10 0 0
10 16 6 0 0 12 12 0 0 6 14 8 0 0 8 10 2 0 0 9 9 0 0 7 14 7 0 0 12 12 0 0 5 15
10 0 0 10 15 5 0 0 13 13 0 0 8 16 8 0 0 11 11 0 0 3 12 9 0 0 9 15 6 0 0 12 12 0
0 6 15 9 0 0 9 12 3 0 0 10 10 0 0 7 14 7 0 0 11 11 0 0 4 12 8 0 0 8 12 4 0 0 9
9 0 0 5 10 5 0 0 6 6 0 0 1 7 6 0 0 6 11 5 0 0 10 10 0 0 5 14 9 0 0 9 13 4 0 0
12 12 0 0 8 16 8 0 0 12 12 0 0 4 15 11 0 0 11 18 7 0 0 14 14 0 0 7 17 10 0 0 10
13 3 0 0 12 12 0 0 9 18 9 0 0 15 15 0 0 6 18 12 0 0 12 18 6 0 0 15 15 0 0 9 18
9 0 0 12 12 0 0 3 14 11 0 0 11 19 8 0 0 16 16 0 0 8 21 13 0 0 13 18 5 0 0 15 15
0 0 10 20 10 0 0 15 15 0 0 5 17 12 0 0 12 19 7 0 0 14 14 0 0 7 16 9 0 0 9 11 2
0 0 10 10 0 0 8 16 8 0 0 14 14 0 0 6 18 12 0 0 12 18 6 0 0 16 16 0 0 10 20 10 0
0 14 14 0 0 4 16 12 0 0 12 20 8 0 0 16 16 0 0 8 20 12 0 0 12 16 4 0 0 14 14 0 0
10 20 10 0 0 16 16 0 0 6 18 12 0 0 12 18 6 0 0 14 14 0 0 8 16 8 0 0 10 10 0 0 2
11 9 0 0 9 16 7 0 0 14 14 0 0 7 19 12 0 0 12 17 5 0 0 15 15 0 0 10 20 10 0 0 15
15 0 0 5 18 13 0 0 13 21 8 0 0 16 16 0 0 8 19 11 0 0 11 14 3 0 0 12 12 0 0 9 18
9 0 0 15 15 0 0 6 18 12 0 0 12 18 6 0 0 15 15 0 0 9 18 9 0 0 12 12 0 0 3 13 10
0 0 10 17 7 0 0 14 14 0 0 7 18 11 0 0 11 15 4 0 0 12 12 0 0 8 16 8 0 0 12 12 0
0 4 13 9 0 0 9 14 5 0 0 10 10 0 0 5 11 6 0 0 6 7 1 0 0 7 7 0 0 6 12 6 0 0 11 11
0 0 5 15 10 0 0 10 15 5 0 0 14 14 0 0 9 18 9 0 0 13 13 0 0 4 16 12 0 0 12 20 8
0 0 16 16 0 0 8 20 12 0 0 12 16 4 0 0 15 15 0 0 11 22 11 0 0 18 18 0 0 7 21 14
0 0 14 21 7 0 0 17 17 0 0 10 20 10 0 0 13 13 0 0 3 15 12 0 0 12 21 9 0 0 18 18
0 0 9 24 15 0 0 15 21 6 0 0 18 18 0 0 12 24 12 0 0 18 18 0 0 6 21 15 0 0 15 24
9 0 0 18 18 0 0 9 21 12 0 0 12 15 3 0 0 14 14 0 0 11 22 11 0 0 19 19 0 0 8 24
16 0 0 16 24 8 0 0 21 21 0 0 13 26 13 0 0 18 18 0 0 5 20 15 0 0 15 25 10 0 0 20
20 0 0 10 25 15 0 0 15 20 5 0 0 17 17 0 0 12 24 12 0 0 19 19 0 0 7 21 14 0 0 14
21 7 0 0 16 16 0 0 9 18 9 0 0 11 11 0 0 2 12 10 0 0 10 18 8 0 0 16 16 0 0 8 22
14 0 0 14 20 6 0 0 18 18 0 0 12 24 12 0 0 18 18 0 0 6 22 16 0 0 16 26 10 0 0 20
20 0 0 10 24 14 0 0 14 18 4 0 0 16 16 0 0 12 24 12 0 0 20 20 0 0 8 24 16 0 0 16
24 8 0 0 20 20 0 0 12 24 12 0 0 16 16 0 0 4 18 14 0 0 14 24 10 0 0 20 20 0 0 10
26 16 0 0 16 22 6 0 0 18 18 0 0 12 24 12 0 0 18 18 0 0 6 20 14 0 0 14 22 8 0 0
16 16 0 0 8 18 10 0 0 10 12 2 0 0 11 11 0 0 9 18 9 0 0 16 16 0 0 7 21 14 0 0 14
21 7 0 0 19 19 0 0 12 24 12 0 0 17 17 0 0 5 20 15 0 0 15 25 10 0 0 20 20 0 0 10
25 15 0 0 15 20 5 0 0 18 18 0 0 13 26 13 0 0 21 21 0 0 8 24 16 0 0 16 24 8 0 0
19 19 0 0 11 22 11 0 0 14 14 0 0 3 15 12 0 0 12 21 9 0 0 18 18 0 0 9 24 15 0 0
15 21 6 0 0 18 18 0 0 12 24 12 0 0 18 18 0 0 6 21 15 0 0 15 24 9 0 0 18 18 0 0
9 21 12 0 0 12 15 3 0 0 13 13 0 0 10 20 10 0 0 17 17 0 0 7 21 14 0 0 14 21 7 0
0 18 18 0 0 11 22 11 0 0 15 15 0 0 4 16 12 0 0 12 20 8 0 0 16 16 0 0 8 20 12 0
0 12 16 4 0 0 13 13 0 0 9 18 9 0 0 14 14 0 0 5 15 10 0 0 10 15 5 0 0 11 11 0 0
6 12 6 0 0 7 7 0 0 1 8 7 0 0 7 13 6 0 0 12 12 0 0 6 17 11 0 0 11 16 5 0 0 15 15
0 0 10 20 10 0 0 15 15 0 0 5 19 14 0 0 14 23 9 0 0 18 18 0 0 9 22 13 0 0 13 17
4 0 0 16 16 0 0 12 24 12 0 0 20 20 0 0 8 24 16 0 0 16 24 8 0 0 20 20 0 0 12 24
12 0 0 16 16 0 0 4 19 15 0 0 15 26 11 0 0 22 22 0 0 11 29 18 0 0 18 25 7 0 0 21
21 0 0 14 28 14 0 0 21 21 0 0 7 24 17 0 0 17 27 10 0 0 20 20 0 0 10 23 13 0 0
13 16 3 0 0 15 15 0 0 12 24 12 0 0 21 21 0 0 9 27 18 0 0 18 27 9 0 0 24 24 0 0
15 30 15 0 0 21 21 0 0 6 24 18 0 0 18 30 12 0 0 24 24 0 0 12 30 18 0 0 18 24 6
0 0 21 21 0 0 15 30 15 0 0 24 24 0 0 9 27 18 0 0 18 27 9 0 0 21 21 0 0 12 24 12
0 0 15 15 0 0 3 17 14 0 0 14 25 11 0 0 22 22 0 0 11 30 19 0 0 19 27 8 0 0 24 24
0 0 16 32 16 0 0 24 24 0 0 8 29 21 0 0 21 34 13 0 0 26 26 0 0 13 31 18 0 0 18
23 5 0 0 20 20 0 0 15 30 15 0 0 25 25 0 0 10 30 20 0 0 20 30 10 0 0 25 25 0 0
15 30 15 0 0 20 20 0 0 5 22 17 0 0 17 29 12 0 0 24 24 0 0 12 31 19 0 0 19 26 7
0 0 21 21 0 0 14 28 14 0 0 21 21 0 0 7 23 16 0 0 16 25 9 0 0 18 18 0 0 9 20 11
0 0 11 13 2 0 0 12 12 0 0 10 20 10 0 0 18 18 0 0 8 24 16 0 0 16 24 8 0 0 22 22
0 0 14 28 14 0 0 20 20 0 0 6 24 18 0 0 18 30 12 0 0 24 24 0 0 12 30 18 0 0 18
24 6 0 0 22 22 0 0 16 32 16 0 0 26 26 0 0 10 30 20 0 0 20 30 10 0 0 24 24 0 0
14 28 14 0 0 18 18 0 0 4 20 16 0 0 16 28 12 0 0 24 24 0 0 12 32 20 0 0 20 28 8
0 0 24 24 0 0 16 32 16 0 0 24 24 0 0 8 28 20 0 0 20 32 12 0 0 24 24 0 0 12 28
16 0 0 16 20 4 0 0 18 18 0 0 14 28 14 0 0 24 24 0 0 10 30 20 0 0 20 30 10 0 0
26 26 0 0 16 32 16 0 0 22 22 0 0 6 24 18 0 0 18 30 12 0 0 24 24 0 0 12 30 18 0
0 18 24 6 0 0 20 20 0 0 14 28 14 0 0 22 22 0 0 8 24 16 0 0 16 24 8 0 0 18 18 0
0 10 20 10 0 0 12 12 0 0 2 13 11 0 0 11 20 9 0 0 18 18 0 0 9 25 16 0 0 16 23 7
0 0 21 21 0 0 14 28 14 0 0 21 21 0 0 7 26 19 0 0 19 31 12 0 0 24 24 0 0 12 29
17 0 0 17 22 5 0 0 20 20 0 0 15 30 15 0 0 25 25 0 0 10 30 20 0 0 20 30 10 0 0
25 25 0 0 15 30 15 0 0 20 20 0 0 5 23 18 0 0 18 31 13 0 0 26 26 0 0 13 34 21 0
0 21 29 8 0 0 24 24 0 0 16 32 16 0 0 24 24 0 0 8 27 19 0 0 19 30 11 0 0 22 22 0
0 11 25 14 0 0 14 17 3 0 0 15 15 0 0 12 24 12 0 0 21 21 0 0 9 27 18 0 0 18 27 9
0 0 24 24 0 0 15 30 15 0 0 21 21 0 0 6 24 18 0 0 18 30 12 0 0 24 24 0 0 12 30
18 0 0 18 24 6 0 0 21 21 0 0 15 30 15 0 0 24 24 0 0 9 27 18 0 0 18 27 9 0 0 21
21 0 0 12 24 12 0 0 15 15 0 0 3 16 13 0 0 13 23 10 0 0 20 20 0 0 10 27 17 0 0
17 24 7 0 0 21 21 0 0 14 28 14 0 0 21 21 0 0 7 25 18 0 0 18 29 11 0 0 22 22 0 0
11 26 15 0 0 15 19 4 0 0 16 16 0 0 12 24 12 0 0 20 20 0 0 8 24 16 0 0 16 24 8 0
0 20 20 0 0 12 24 12 0 0 16 16 0 0 4 17 13 0 0 13 22 9 0 0 18 18 0 0 9 23 14 0
0 14 19 5 0 0 15 15 0 0 10 20 10 0 0 15 15 0 0 5 16 11 0 0 11 17 6 0 0 12 12 0
0 6 13 7 0 0 7 8 1 0 0 8
graph:
%20Rep%20Sequence%20II%20(2)-Dateien/image004.jpg)
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