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:

 

 

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