Φ Signature Sequence no. 4

Casey Mongoven

April 20, 2005

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

number of members in sequence used: 925

orientation: ascending

temperament: φ⁵ + 1

lowest pitch: 31.2 Hertz

highest pitch: 3029.3358147212 Hertz

length: 98.05 seconds

note value: .106 seconds

waveform: square 0° → triangle 0°

pan: mono

dynamic values: ff → fff

attack: .005 seconds

release: .008 seconds

values used:

#    pitch in Hertz   waveform    dynamic

1   31.2000000000    square 0°   ff

2   34.0133022450          

3    37.0802797951    m c

4    40.4238065385    o r

5    44.0688189002    r e

6    48.0425018215    p s

7    52.3744915084    h c

8    57.0970964616                e

9    62.2455384378    ¦           n

10   67.8582151374    ¦           d

11   73.9769865793    ¦           o

12   80.6474872979    ¦          

13   87.9194666911    ¦           ¦

14   95.8471600571    ¦           ¦

15   104.4896930880   ¦           ¦

16   113.9115228361   ¦           ¦

17   124.1829184427   ¦           ¦

18   135.3804852133   ¦           ¦

19   147.5877359497   ¦           ¦

20   160.8957137984   ¦           ¦

21   175.4036712612   ¦           ¦

22   191.2198104322   ¦           ¦

23   208.4620899827   ¦           ¦

24   227.2591049103   ¦           ¦

25   247.7510456167   ¦           ¦

26   270.0907434638   ¦           ¦

27   294.4448106092   ¦           ¦

28   320.9948826191   ¦           ¦

29   349.9389731288   ¦           ¦

30   381.4929506515   ¦           ¦

31   415.8921485526   ¦           ¦

32   453.3931201934   ¦           ¦

33   494.2755523377   ¦           ¦

34   538.8443510887   ¦           ¦

35   587.4319159161   ¦           ¦

36   640.4006187309   ¦           ¦

37   698.1455064990   ¦           ¦

38   761.0972475490   ¦           ¦

39   829.7253435483   ¦           ¦

40   904.5416311036   ¦           ¦

41   986.1040990993   ¦           ¦

42   1075.0210502462  ¦           ¦

43   1171.9556378764  ¦           ¦

44   1277.6308118206  ¦           ¦

45   1392.8347102550  ¦           ¦

46   1518.4265377310  ¦           ¦

47   1655.3429732259  ¦           ¦

48   1804.6051560078  ¦           ¦

49   1967.3263014150  ¦           ¦

50   2144.7200033505  ¦           ¦

51   2338.1092854110  ¦           ¦

52   2548.9364681566  ¦           ¦

53   2778.7739261113          

54   3029.3358147212  triangle 0° fff

sequence values:

1 2 1 3 2 4 1 3 5 2 4 1 6 3 5 2 7 4 1 6 3 8 5 2 7 4 9 1 6 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 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 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 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 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 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 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 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 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 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 40 19 32 11 24 3 37 16 29 8 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 41 20 33 12 25 4 38 17 30 9 22 1 35 14 27 6 40 19 32 11 24 3 37 16 29 8 42 21 34 13 26 5 39 18 31 10 23 2 36 15 28 7 41 20 33 12 25 4 38 17 30 9 43 22 1 35 14 27 6 40 19 32 11 24 3 37 16 29 8 42 21 34 13 26 5 39 18 31 10 44 23 2 36 15 28 7 41 20 33 12 25 4 38 17 30 9 43 22 1 35 14 27 6 40 19 32 11 45 24 3 37 16 29 8 42 21 34 13 26 5 39 18 31 10 44 23 2 36 15 28 7 41 20 33 12 46 25 4 38 17 30 9 43 22 1 35 14 27 6 40 19 32 11 45 24 3 37 16 29 8 42 21 34 13 47 26 5 39 18 31 10 44 23 2 36 15 28 7 41 20 33 12 46 25 4 38 17 30 9 43 22 1 35 14 48 27 6 40 19 32 11 45 24 3 37 16 29 8 42 21 34 13 47 26 5 39 18 31 10 44 23 2 36 15 49 28 7 41 20 33 12 46 25 4 38 17 30 9 43 22 1 35 14 48 27 6 40 19 32 11 45 24 3 37 16 50 29 8 42 21 34 13 47 26 5 39 18 31 10 44 23 2 36 15 49 28 7 41 20 33 12 46 25 4 38 17 51 30 9 43 22 1 35 14 48 27 6 40 19 32 11 45 24 3 37 16 50 29 8 42 21 34 13 47 26 5 39 18 52 31 10 44 23 2 36 15 49 28 7 41 20 33 12 46 25 4 38 17 51 30 9 43 22 1 35 14 48 27 6 40 19 53 32 11 45 24 3 37 16 50 29 8 42 21 34 13 47 26 5 39 18 52 31 10 44 23 2 36 15 49 28 7 41 20 54 33 12 46 25 4 38 17 51 30 9 43 22 1

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