φ Signature Sequence no. 2

Casey Mongoven

March 15, 2005

 

description of sequence: Arranging the numbers s + (s,j ≥ 1) in increasing order, the sequence of s’s is the signature sequence of φ.

number of members in sequence used: 1278

orientation: ascending

temperament: φ7 + 1

lowest pitch: 53.5 Hertz

highest pitch: 193.7246877000 Hertz

length: 77.958 seconds

note value: .061 seconds

waveform: saw 0°

pan: mono

dynamic value: fff

starting attack: .005 seconds

attack roll-off: .000035 seconds

starting release: .008 seconds

release roll-off: .000056 seconds

 

values used:

 

#    pitch in Hertz     attack    release

 

1    53.5000000000      .005000   .008000

2    55.3426391756      .004965   .007944

3    57.2487422601      .004930   .007888

4    59.2204950683      .004895   .007832

5    61.2601586984      .004860   .007776

6    63.3700721249      .004825   .007720

7    65.5526548811      .004790   .007664

8    67.8104098333      .004755   .007608

9    70.1459260514      .004720   .007552

10   72.5618817775      .004685   .007496

11   75.0610474974      .004650   .007440

12   77.6462891176      .004615   .007384

13   80.3205712515      .004580   .007328

14   83.0869606195      .004545   .007272

15   85.9486295656      .004510   .007216

16   88.9088596950      .004475   .007160

17   91.9710456376      .004440   .007104

18   95.1386989405      .004405   .007048

19   98.4154520953      .004370   .006992

20   101.8050627030     .004335   .006936

21   105.3114177834     .004300   .006880

22   108.9385382328     .004265   .006824

23   112.6905834342     .004230   .006768

24   116.5718560277     .004195   .006712

25   120.5868068442     .004160   .006656

26   124.7400400095     .004125   .006600

27   129.0363182242     .004090   .006544

28   133.4805682247     .004055   .006488

29   138.0778864338     .004020   .006432

30   142.8335448042     .003985   .006376

31   147.7529968648     .003950   .006320

32   152.8418839737     .003915   .006264

33   158.1060417882     .003880   .006208

34   163.5515069563     .003845   .006152

35   169.1845240392     .003810   .006096

36   175.0115526727     .003775   .006040

37   181.0392749742     .003740   .005984

38   187.2746032056     .003705   .005928

39   193.7246877000     .003670   .005872

 

sequence values:

 

1 1 2 1 2 1 3 2 1 3 2 4 1 3 2 4 1 3 5 2 4 1 3 5 2 4 1 6 3 5 2 4 1 6 3 5 2 7 4 1 6 3 5 2 7 4 1 6 3 8 5 2 7 4 1 6 3 8 5 2 7 4 9 1 6 3 8 5 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 4 9 1 6 11 3 8 5 10 2 7 12 4 9 1 6 11 3 8 5 10 2 7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 20 33 12 25 4 38 17 30 9 22 1

 

graph:

 

 

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