X(n) Rep Sequence no. 2

Casey Mongoven

April 17, 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: 3804

orientation: ascending

temperament: φ¹⁰ + 1

lowest pitch: 5020 Hertz

highest pitch: 7053.5790490373 Hertz

length: 79.884 seconds

note value: .021 seconds

waveform: sine 0°

simulated spatial location: 17° → -17°

dynamic value: p → f

attack: .0045 seconds

release: .0072 seconds

values used:

#   pitch in Hertz     pan value   dynamic

0   5020.0000000000    19.32°    p

1    5060.8157061540    17.62°   

2    5101.9632692541    16.04°      c

3    5143.4453875024    14.57°      r

4    5185.2647810393    13.19°      e

5    5227.4241921218    11.91°      s

6    5269.9263853027    10.72°      c

7    5312.7741476126    9.60°       e

8    5355.9702887424    8.56°       n

9    5399.5176412275    7.59°       d

10   5443.4190606334    6.69°       o

11   5487.6774257434    5.85°    

12   5532.2956387468    5.06°       ¦

13   5577.2766254298    4.33°       ¦

14   5622.6233353667    3.65°       ¦

15   5668.3387421139    3.01°       ¦

16   5714.4258434047    2.42°       ¦

17   5760.8876613456    1.86°       ¦

18   5807.7272426149    1.35°       ¦

19   5854.9476586622    .87°        ¦

20   5902.5520059098    .42°        ¦

21   5950.5434059561    0°          ¦

22   5998.9250057796    -.42°       ¦

23   6047.6999779462    -.87°       ¦

24   6096.8715208162    -1.34°      ¦

25   6146.4428587550    -1.86°      ¦

26   6196.4172423437    -2.41°      ¦

27   6246.7979485930    -3.00°      ¦

28   6297.5882811574    -3.63°      ¦

29   6348.7915705524    -4.30°      ¦

30   6400.4111743724    -5.02°      ¦

31   6452.4504775115    -5.80°      ¦

32   6504.9128923847    -6.63°      ¦

33   6557.8018591523    -7.52°      ¦

34   6611.1208459450    -8.47°      ¦

35   6664.8733490918    -9.49°      ¦

36   6719.0628933489    -10.58°     ¦

37   6773.6930321308    -11.75°     ¦

38   6828.7673477438    -13.00°     ¦

39   6884.2894516202    -14.34°     ¦

40   6940.2629845558    -15.77°     ¦

41   6996.6916169481    -17.31°    

42   7053.5790490373    -18.96°     f

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 1 7 8 0 14 0 13 7 6 13 0 18 0 12 12 0 18 0 17 6 11 17 0 22 0 16 11 5 16 0 20 0 15 15 0 25 0 20 10 10 20 0 25 0 15 15 0 20 0 19 5 14 19 0 28 0 23 14 9 23 0 27 0 18 18 0 27 0 22 9 13 22 0 26 0 17 13 4 17 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 19 4 15 19 0 30 0 26 15 11 26 0 33 0 22 22 0 33 0 29 11 18 29 0 36 0 25 18 7 25 0 28 0 21 21 0 35 0 28 14 14 28 0 35 0 21 21 0 28 0 24 7 17 24 0 34 0 27 17 10 27 0 30 0 20 20 0 30 0 23 10 13 23 0 26 0 16 13 3 16 0 18 0 15 15 0 27 0 24 12 12 24 0 33 0 21 21 0 30 0 27 9 18 27 0 36 0 27 18 9 27 0 33 0 24 24 0 39 0 30 15 15 30 0 36 0 21 21 0 27 0 24 6 18 24 0 36 0 30 18 12 30 0 36 0 24 24 0 36 0 30 12 18 30 0 36 0 24 18 6 24 0 27 0 21 21 0 36 0 30 15 15 30 0 39 0 24 24 0 33 0 27 9 18 27 0 36 0 27 18 9 27 0 30 0 21 21 0 33 0 24 12 12 24 0 27 0 15 15 0 18 0 17 3 14 17 0 28 0 25 14 11 25 0 33 0 22 22 0 33 0 30 11 19 30 0 38 0 27 19 8 27 0 32 0 24 24 0 40 0 32 16 16 32 0 40 0 24 24 0 32 0 29 8 21 29 0 42 0 34 21 13 34 0 39 0 26 26 0 39 0 31 13 18 31 0 36 0 23 18 5 23 0 25 0 20 20 0 35 0 30 15 15 30 0 40 0 25 25 0 35 0 30 10 20 30 0 40 0 30 20 10 30 0 35 0 25 25 0 40 0 30 15 15 30 0 35 0 20 20 0 25 0 22 5 17 22 0 34 0 29 17 12 29 0 36 0 24 24 0 36 0 31 12 19 31 0 38 0 26 19 7 26 0 28 0 21 21 0 35 0 28 14 14 28 0 35 0 21 21 0 28 0 23 7 16 23 0 32 0 25 16 9 25 0 27 0 18 18 0 27 0 20 9 11 20 0 22 0 13 11 2 13 0 14 0 12 12 0 22 0 20 10 10 20 0 28 0 18 18 0 26 0 24 8 16 24 0 32 0 24 16 8 24 0 30 0 22 22 0 36 0 28 14 14 28 0 34 0 20 20 0 26 0 24 6 18 24 0 36 0 30 18 12 30 0 36 0 24 24 0 36 0 30 12 18 30 0 36 0 24 18 6 24 0 28 0 22 22 0 38 0 32 16 16 32 0 42 0 26 26 0 36 0 30 10 20 30 0 40 0 30 20 10 30 0 34 0 24 24 0 38 0 28 14 14 28 0 32 0 18 18 0 22 0 20 4 16 20 0 32 0 28 16 12 28 0 36 0 24 24 0 36 0 32 12 20 32 0 40 0 28 20 8 28 0 32 0 24 24 0 40 0 32 16 16 32 0 40 0 24 24 0 32 0 28 8 20 28 0 40 0 32 20 12 32 0 36 0 24 24 0 36 0 28 12 16 28 0 32 0 20 16 4 20 0 22 0 18 18 0 32 0 28 14 14 28 0 38 0 24 24 0 34 0 30 10 20 30 0 40 0 30 20 10 30 0 36 0 26 26 0 42 0 32 16 16 32 0 38 0 22 22 0 28 0 24 6 18 24 0 36 0 30 18 12 30 0 36 0 24 24 0 36 0 30 12 18 30 0 36 0 24 18 6 24 0 26 0 20 20 0 34 0 28 14 14 28 0 36 0 22 22 0 30 0 24 8 16 24 0 32 0 24 16 8 24 0 26 0 18 18 0 28 0 20 10 10 20 0 22 0 12 12 0 14 0 13 2 11 13 0 22 0 20 11 9 20 0 27 0 18 18 0 27 0 25 9 16 25 0 32 0 23 16 7 23 0 28 0 21 21 0 35 0 28 14 14 28 0 35 0 21 21 0 28 0 26 7 19 26 0 38 0 31 19 12 31 0 36 0 24 24 0 36 0 29 12 17 29 0 34 0 22 17 5 22 0 25 0 20 20 0 35 0 30 15 15 30 0 40 0 25 25 0 35 0 30 10 20 30 0 40 0 30 20 10 30 0 35 0 25 25 0 40 0 30 15 15 30 0 35 0 20 20 0 25 0 23 5 18 23 0 36 0 31 18 13 31 0 39 0 26 26 0 39 0 34 13 21 34 0 42 0 29 21 8 29 0 32 0 24 24 0 40 0 32 16 16 32 0 40 0 24 24 0 32 0 27 8 19 27 0 38 0 30 19 11 30 0 33 0 22 22 0 33 0 25 11 14 25 0 28 0 17 14 3 17 0 18 0 15 15 0 27 0 24 12 12 24 0 33 0 21 21 0 30 0 27 9 18 27 0 36 0 27 18 9 27 0 33 0 24 24 0 39 0 30 15 15 30 0 36 0 21 21 0 27 0 24 6 18 24 0 36 0 30 18 12 30 0 36 0 24 24 0 36 0 30 12 18 30 0 36 0 24 18 6 24 0 27 0 21 21 0 36 0 30 15 15 30 0 39 0 24 24 0 33 0 27 9 18 27 0 36 0 27 18 9 27 0 30 0 21 21 0 33 0 24 12 12 24 0 27 0 15 15 0 18 0 16 3 13 16 0 26 0 23 13 10 23 0 30 0 20 20 0 30 0 27 10 17 27 0 34 0 24 17 7 24 0 28 0 21 21 0 35 0 28 14 14 28 0 35 0 21 21 0 28 0 25 7 18 25 0 36 0 29 18 11 29 0 33 0 22 22 0 33 0 26 11 15 26 0 30 0 19 15 4 19 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 17 4 13 17 0 26 0 22 13 9 22 0 27 0 18 18 0 27 0 23 9 14 23 0 28 0 19 14 5 19 0 20 0 15 15 0 25 0 20 10 10 20 0 25 0 15 15 0 20 0 16 5 11 16 0 22 0 17 11 6 17 0 18 0 12 12 0 18 0 13 6 7 13 0 14 0 8 7 1 8 0 9

graph:

letzte Partitur nächste Partitur

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