X(n) Rep
Sequence no. 1
Casey Mongoven
March 8, 2005
description of
sequence: number of unique representations of n using sums of
distinct elements of the Fibonacci sequence beginning 3,2,5,7,12,…
number of
members in sequence used: 2351
orientation: descending
temperament: φ5
+ 1
highest pitch:
1750 Hertz
lowest pitch:
92.9469416296 Hertz
length:
136.358 seconds
note value:
.058 seconds
waveform: sine 0°
→ square 0°
simulated
spatial location: 15° → -15°
dynamic value:
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 attack decay
0 1750.0000000000
sine 0° 15.96° .005000
.008000
1
1605.2543092329
13.57° .004950 .007920
2 1472.4807984633
m 11.51°
.004900 .007840
3 1350.6892268547
o 9.73°
.004850 .007760
4 1238.9712581960
r 8.19°
.004800 .007680
5 1136.4936864199
p 6.87°
.004750 .007600
6 1042.4922214523
h 5.73°
.004700 .007520
7
956.2657890446
4.75° .004650 .007440
8 877.1713020776 ¦
3.9°
.004600 .007360
9 804.6188643403 ¦
3.17°
.004550 .007280
10 738.0673710127 ¦
2.54°
.004500 .007200
11 677.0204730413 ¦
2°
.004450 .007120
12 621.0228753077 ¦
1.53°
.004400 .007040
13 569.6569409828 ¦
1.13°
.004350 .006960
14 522.5395767412 ¦
.78°
.004300 .006880
15 479.3193756048 ¦
.48°
.004250 .006800
16 439.6739961077 ¦
.22°
.004200 .006720
17 403.3077582340 ¦
0°
.004150 .006640
18 369.9494382013 ¦ -.22°
.004100 .006560
19 339.3502456405
¦ -.48°
.004050 .006480
20 311.2819680878
¦ -.78°
.004000 .006400
21 285.5352689482 ¦
-1.13°
.003950 .006320
22 261.9181262384 ¦
-1.53°
.003900 .006240
23 240.2544004630 ¦
-2°
.003850 .006160
24 220.3825209460 ¦
-2.54°
.003800 .006080
25 202.1542808161 ¦
-3.17°
.003750 .006000
26 185.4337316628 ¦
-3.9°
.003700 .005920
27 170.0961696165
¦ -4.75°
.003650 .005840
28 156.0272052919 ¦
-5.73°
.003600 .005760
29 143.1219106585 ¦
-6.87°
.003550 .005680
30 131.2840364744 ¦
-8.19°
.003500 .005600
31 120.4252944480 ¦
-9.73°
.003450 .005520
32 110.4646987733
¦ -11.51°
.003400 .005440
33 101.3279621280 -13.57°
.003350 .005360
34 92.9469416296 square
0° -15.96° .003300
.005280
sequence values:
0 1 1 0 2 0 2 1 1 2 0 3 0 2 2 0 3 0 3 1 2 3 0 4 0 3 2 1 3 0 4 0 3 3 0 5 0 4 2 2 4 0 5 0 3 3 0 4 0 4 1 3 4 0 6 0 5 3 2 5 0 6 0 4 4 0 6 0 5 2 3 5 0 6 0 4 3 1 4 0 5 0 4 4 0 7 0 6 3 3 6 0 8 0 5 5 0 7 0 6 2 4 6 0 8 0 6 4 2 6 0 7 0 5 5 0 8 0 6 3 3 6 0 7 0 4 4 0 5 0 5 1 4 5 0 8 0 7 4 3 7 0 9 0 6 6 0 9 0 8 3 5 8 0 10 0 7 5 2 7 0 8 0 6 6 0 10 0 8 4 4 8 0 10 0 6 6 0 8 0 7 2 5 7 0 10 0 8 5 3 8 0 9 0 6 6 0 9 0 7 3 4 7 0 8 0 5 4 1 5 0 6 0 5 5 0 9 0 8 4 4 8 0 11 0 7 7 0 10 0 9 3 6 9 0 12 0 9 6 3 9 0 11 0 8 8 0 13 0 10 5 5 10 0 12 0 7 7 0 9 0 8 2 6 8 0 12 0 10 6 4 10 0 12 0 8 8 0 12 0 10 4 6 10 0 12 0 8 6 2 8 0 9 0 7 7 0 12 0 10 5 5 10 0 13 0 8 8 0 11 0 9 3 6 9 0 12 0 9 6 3 9 0 10 0 7 7 0 11 0 8 4 4 8 0 9 0 5 5 0 6 0 6 1 5 6 0 10 0 9 5 4 9 0 12 0 8 8 0 12 0 11 4 7 11 0 14 0 10 7 3 10 0 12 0 9 9 0 15 0 12 6 6 12 0 15 0 9 9 0 12 0 11 3 8 11 0 16 0 13 8 5 13 0 15 0 10 10 0 15 0 12 5 7 12 0 14 0 9 7 2 9 0 10 0 8 8 0 14 0 12 6 6 12 0 16 0 10 10 0 14 0 12 4 8 12 0 16 0 12 8 4 12 0 14 0 10 10 0 16 0 12 6 6 12 0 14 0 8 8 0 10 0 9 2 7 9 0 14 0 12 7 5 12 0 15 0 10 10 0 15 0 13 5 8 13 0 16 0 11 8 3 11 0 12 0 9 9 0 15 0 12 6 6 12 0 15 0 9 9 0 12 0 10 3 7 10 0 14 0 11 7 4 11 0 12 0 8 8 0 12 0 9 4 5 9 0 10 0 6 5 1 6 0 7 0 6 6 0 11 0 10 5 5 10 0 14 0 9 9 0 13 0 12 4 8 12 0 16 0 12 8 4 12 0 15 0 11 11 0 18 0 14 7 7 14 0 17 0 10 10 0 13 0 12 3 9 12 0 18 0 15 9 6 15 0 18 0 12 12 0 18 0 15 6 9 15 0 18 0 12 9 3 12 0 14 0 11 11 0 19 0 16 8 8 16 0 21 0 13 13 0 18 0 15 5 10 15 0 20 0 15 10 5 15 0 17 0 12 12 0 19 0 14 7 7 14 0 16 0 9 9 0 11 0 10 2 8 10 0 16 0 14 8 6 14 0 18 0 12 12 0 18 0 16 6 10 16 0 20 0 14 10 4 14 0 16 0 12 12 0 20 0 16 8 8 16 0 20 0 12 12 0 16 0 14 4 10 14 0 20 0 16 10 6 16 0 18 0 12 12 0 18 0 14 6 8 14 0 16 0 10 8 2 10 0 11 0 9 9 0 16 0 14 7 7 14 0 19 0 12 12 0 17 0 15 5 10 15 0 20 0 15 10 5 15 0 18 0 13 13 0 21 0 16 8 8 16 0 19 0 11 11 0 14 0 12 3 9 12 0 18 0 15 9 6 15 0 18 0 12 12 0 18 0 15 6 9 15 0 18 0 12 9 3 12 0 13 0 10 10 0 17 0 14 7 7 14 0 18 0 11 11 0 15 0 12 4 8 12 0 16 0 12 8 4 12 0 13 0 9 9 0 14 0 10 5 5 10 0 11 0 6 6 0 7 0 7 1 6 7 0 12 0 11 6 5 11 0 15 0 10 10 0 15 0 14 5 9 14 0 18 0 13 9 4 13 0 16 0 12 12 0 20 0 16 8 8 16 0 20 0 12 12 0 16 0 15 4 11 15 0 22 0 18 11 7 18 0 21 0 14 14 0 21 0 17 7 10 17 0 20 0 13 10 3 13 0 15 0 12 12 0 21 0 18 9 9 18 0 24 0 15 15 0 21 0 18 6 12 18 0 24 0 18 12 6 18 0 21 0 15 15 0 24 0 18 9 9 18 0 21 0 12 12 0 15 0 14 3 11 14 0 22 0 19 11 8 19 0 24 0 16 16 0 24 0 21 8 13 21 0 26 0 18 13 5 18 0 20 0 15 15 0 25 0 20 10 10 20 0 25 0 15 15 0 20 0 17 5 12 17 0 24 0 19 12 7 19 0 21 0 14 14 0 21 0 16 7 9 16 0 18 0 11 9 2 11 0 12 0 10 10 0 18 0 16 8 8 16 0 22 0 14 14 0 20 0 18 6 12 18 0 24 0 18 12 6 18 0 22 0 16 16 0 26 0 20 10 10 20 0 24 0 14 14 0 18 0 16 4 12 16 0 24 0 20 12 8 20 0 24 0 16 16 0 24 0 20 8 12 20 0 24 0 16 12 4 16 0 18 0 14 14 0 24 0 20 10 10 20 0 26 0 16 16 0 22 0 18 6 12 18 0 24 0 18 12 6 18 0 20 0 14 14 0 22 0 16 8 8 16 0 18 0 10 10 0 12 0 11 2 9 11 0 18 0 16 9 7 16 0 21 0 14 14 0 21 0 19 7 12 19 0 24 0 17 12 5 17 0 20 0 15 15 0 25 0 20 10 10 20 0 25 0 15 15 0 20 0 18 5 13 18 0 26 0 21 13 8 21 0 24 0 16 16 0 24 0 19 8 11 19 0 22 0 14 11 3 14 0 15 0 12 12 0 21 0 18 9 9 18 0 24 0 15 15 0 21 0 18 6 12 18 0 24 0 18 12 6 18 0 21 0 15 15 0 24 0 18 9 9 18 0 21 0 12 12 0 15 0 13 3 10 13 0 20 0 17 10 7 17 0 21 0 14 14 0 21 0 18 7 11 18 0 22 0 15 11 4 15 0 16 0 12 12 0 20 0 16 8 8 16 0 20 0 12 12 0 16 0 13 4 9 13 0 18 0 14 9 5 14 0 15 0 10 10 0 15 0 11 5 6 11 0 12 0 7 6 1 7 0 8 0 7 7 0 13 0 12 6 6 12 0 17 0 11 11 0 16 0 15 5 10 15 0 20 0 15 10 5 15 0 19 0 14 14 0 23 0 18 9 9 18 0 22 0 13 13 0 17 0 16 4 12 16 0 24 0 20 12 8 20 0 24 0 16 16 0 24 0 20 8 12 20 0 24 0 16 12 4 16 0 19 0 15 15 0 26 0 22 11 11 22 0 29 0 18 18 0 25 0 21 7 14 21 0 28 0 21 14 7 21 0 24 0 17 17 0 27 0 20 10 10 20 0 23 0 13 13 0 16 0 15 3 12 15 0 24 0 21 12 9 21 0 27 0 18 18 0 27 0 24 9 15 24 0 30 0 21 15 6 21 0 24 0 18 18 0 30 0 24 12 12 24 0 30 0 18 18 0 24 0 21 6 15 21 0 30 0 24 15 9 24 0 27 0 18 18 0 27 0 21 9 12 21 0 24 0 15 12 3 15 0 17 0 14 14 0 25 0 22 11 11 22 0 30 0 19 19 0 27 0 24 8 16 24 0 32 0 24 16 8 24 0 29 0 21 21 0 34 0 26 13 13 26 0 31 0 18 18 0 23 0 20 5 15 20 0 30 0 25 15 10 25 0 30 0 20 20 0 30 0 25 10 15 25 0 30 0 20 15 5 20 0 22 0 17 17 0 29 0 24 12 12 24 0 31 0 19 19 0 26 0 21 7 14 21 0 28 0 21 14 7 21 0 23 0 16 16 0 25 0 18 9 9 18 0 20 0 11 11 0 13 0 12 2 10 12 0 20 0 18 10 8 18 0 24 0 16 16 0 24 0 22 8 14 22 0 28 0 20 14 6 20 0 24 0 18 18 0 30 0 24 12 12 24 0 30 0 18 18 0 24 0 22 6 16 22 0 32 0 26 16 10 26 0 30 0 20 20 0 30 0 24 10 14 24 0 28 0 18 14 4 18 0 20 0 16 16 0 28 0 24 12 12 24 0 32 0 20 20 0 28 0 24 8 16 24 0 32 0 24 16 8 24 0 28 0 20 20 0 32 0 24 12 12 24 0 28 0 16 16 0 20 0 18 4 14 18 0 28 0 24 14 10 24 0 30 0 20 20 0 30 0 26 10 16 26 0 32 0 22 16 6 22 0 24 0 18 18 0 30 0 24 12 12 24 0 30 0 18 18 0 24 0 20 6 14 20 0 28 0 22 14 8 22 0 24 0 16 16 0 24 0 18 8 10 18 0 20 0 12 10 2 12 0 13 0 11 11 0 20 0 18 9 9 18 0 25 0 16 16 0 23 0 21 7 14 21 0 28 0 21 14 7 21 0 26 0 19 19 0 31 0 24 12 12 24 0 29 0 17 17 0 22 0 20 5 15 20 0 30 0 25 15 10 25 0 30 0 20 20 0 30 0 25 10 15 25 0 30 0 20 15 5 20 0 23 0 18 18 0 31 0 26 13 13 26 0 34 0 21 21 0 29 0 24 8 16 24 0 32 0 24 16 8 24 0 27 0 19 19 0 30 0 22 11 11 22 0 25 0 14 14 0 17 0 15 3 12 15 0 24 0 21 12 9 21 0 27 0 18 18 0 27 0 24 9 15 24 0 30 0 21 15 6 21 0 24 0 18 18 0 30 0 24 12 12 24 0 30 0 18 18 0 24 0 21 6 15 21 0 30 0 24 15 9 24 0 27 0 18 18 0 27 0 21 9 12 21 0 24 0 15 12 3 15 0 16 0 13 13 0 23 0 20 10 10 20 0 27 0 17 17 0 24 0 21 7 14 21 0 28 0 21 14 7 21 0 25 0 18 18 0 29 0 22 11 11 22 0 26 0 15 15 0 19 0 16 4 12 16 0 24 0 20 12 8 20 0 24 0 16 16 0 24 0 20 8 12 20 0 24 0 16 12 4 16 0 17 0 13 13 0 22 0 18 9 9 18 0 23 0 14 14 0 19 0 15 5 10 15 0 20 0 15 10 5 15 0 16 0 11 11 0 17 0 12 6 6 12 0 13 0 7 7 0 8 0 8
graph:
-Rep-I/X(n)-Rep-Sequence-I-(1).jpg)
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