U(n) Rep
Sequence no. 1
Casey
Mongoven
December 14,
2004
description of
sequence: number of possible representations of n using
distinct elements of the Fibonacci sequence beginning 1,4,5,9,14,…
number of members
in sequence used: 1741
orientation:
ascending
temperament: φ9
+ 1
lowest pitch: 83
Hertz
highest pitch: 115.0752722180
Hertz
length: 90.532
seconds
note value: .052
seconds
waveform: saw 0° → square 0°
pan values: -19.23° → 19.23°
dynamic values: mp → ffff
starting attack: .004 seconds
attack roll-off: .00004 seconds
starting release: .007 seconds
release roll-off: .00007 seconds
note: 0s in the sequence rendered as silence
values used:
#
pitch in Hertz waveform pan
value dynamic attack
release
1 83.0000000000 saw 0° -19.23° mp .004000 .007000
2 84.0919162522 -17.69° .003960 .006930
3 85.1981973370 m -16.15° c .003920 .006860
4 86.3190322325 o -14.62° r .003880 .006790
5 87.4546124032 r -13.08° e .003840 .006720
6 88.6051318323 p -11.54° s .003800 .006650
7 89.7707870549 h -10.00° c .003760 .006580
8 90.9517771917 -8.46° e .003720 .006510
9 92.1483039831 ¦ -6.92° n .003680 .006440
10 93.3605718232 ¦ -5.38° d .003640 .006370
11 94.5887877954 ¦ -3.85° o .003600 .006300
12 95.8331617071 ¦ -2.31° .003560 .006230
13 97.0939061260 ¦ -.77° ¦ .003520 .006160
14 98.3712364162 ¦ .77° ¦ .003480 .006090
15 99.6653707752 ¦ 2.31° ¦ .003440 .006020
16 100.9765302707 ¦ 3.85° ¦ .003400 .005950
17 102.3049388791 ¦ 5.38° ¦ .003360 .005880
18 103.6508235230 ¦ 6.92° ¦ .003320 .005810
19 105.0144141104 ¦ 8.46° ¦ .003280 .005740
20 106.3959435741 ¦ 10.00° ¦ .003240 .005670
21 107.7956479109 ¦ 11.54° ¦ .003200 .005600
22 109.2137662226 ¦ 13.08° ¦ .003160 .005530
23 110.6505407564 ¦ 14.62° ¦ .003120 .005460
24 112.1062169463 ¦ 16.15° ¦ .003080 .005390
25 113.5810434554 17.69° .003040 .005320
26 115.0752722180 square 0° 19.23° ffff .003000 .005250
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
graph: