Generalized Fibonacci Sequence no. 7

Casey Mongoven

February 8, 2005

description of sequence: a Fibonacci series beginning 3,1,4,5,9,14,23,37,60,…

number of members in sequence used: 9

orientation: descending

temperament: φ⁶ + 1

highest pitch: 1823.8265761991 Hertz

lowest pitch: 74.3722622410 Hertz

length: 12.48 seconds

waveform: square 0°

pan: mono

dynamic values: mf → ff

attack: .003 seconds

release: .004 seconds

values used:

#   pitch in Hertz   note length   dynamic

1    1823.8265761991  .08 seconds   mf

2    1727.5533288100  .16     

3    1636.3620000000  .24           c

4    1549.9843335595  .32           r

5    1468.1662335595  .4            e

6    1390.6670168815  .48           s

7    1317.2587052036  .56           c

8    1247.7253543595  .64           e

9    1181.8624190993  .72           n

10   1119.4761513813  .8            d

11   1060.3830304264  .88           o

12   1004.4092228573  .96   

13   951.3900713360   1.04          ¦

14   901.1696101931   1.12          ¦

15   853.6001066263   1.2           ¦

16   808.5416261167   1.28          ¦

17   765.8616207853   1.36          ¦

18   725.4345394795   1.44          ¦

19   687.1414584402   1.52          ¦

20   650.8697314663   1.6           ¦

21   616.5126585443   1.68          ¦

22   583.9691719709   1.76          ¦

23   553.1435390437   1.84          ¦

24   523.9450804452   1.92          ¦

25   496.2879034930   2             ¦

26   470.0906494707   2.08          ¦

27   445.2762542961   2.16          ¦

28   421.7717218225   2.24          ¦

29   399.5079091077   2.32          ¦

30   378.4193230166   2.4           ¦

31   358.4439275612   2.48          ¦

32   339.5229614104   2.56          ¦

33   321.6007650323   2.64          ¦

34   304.6246169618   2.72          ¦

35   288.5445787102   2.8           ¦

36   273.3133478621   2.88          ¦

37   258.8861189266   2.96          ¦

38   245.2204515335   3.04          ¦

39   232.2761455872   3.12          ¦

40   220.0151230105   3.2           ¦

41   208.4013157311   3.28          ¦

42   197.4005595806   3.36          ¦

43   186.9804937941   3.44          ¦

44   177.1104658150   3.52          ¦

45   167.7614411253   3.6           ¦

46   158.9059178346   3.68          ¦

47   150.5178457783   3.76          ¦

48   142.5725498866   3.84          ¦

49   135.0466575977   3.92          ¦

50   127.9180301033   4             ¦

51   121.1656972234   4.08          ¦

52   114.7697957183   4.16          ¦

53   108.7115108571   4.24          ¦

54   102.9730210712   4.32          ¦

55   97.5374455283    4.4           ¦

56   92.3887944748    4.48          ¦

57   87.5119221984    4.56          ¦

58   82.8924824746    4.64          ¦

59   78.5168863647    4.72       

60   74.3722622410    4.8           ff

sequence values:

3 1 4 5 9 14 23 37 60

graph:

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