Beatty Sequence no. 9b

Casey Mongoven

April 21, 2005

description of sequence: a spectrum sequence based on Ф + 1

number of members in sequence used: 55

orientation: descending

temperament: φ⁷ + 1

highest pitch: 4282.0483238842 Hertz

lowest pitch: 36.1487876887 Hertz

length: 5.28 seconds

note value: .096 seconds

waveform: sine 0°* → square 0°*

spatial location: 30°

dynamic values: fff → mp

starting attack: .005 seconds

attack roll-off: .00001 seconds

starting release: .008 seconds

release roll-off: .000016 seconds

*note: The number 2 is represented by a wave with the two components of the following strengths: (142/143 sine 0°, 1/143 square 0°), 143 by (142/143 square 0°, 1/144 sine 0°); see Beatty Sequence no. 9a, the complement of this work.

values used:

#   pitch in Hertz   waveform    dynamic  attack    release

2    4282.0483238842  sine 0°*  fff     .004990   .007984

5    3868.4172610096                       .004960   .007936

7    3615.1069052963  m d        .004940   .007904

10   3265.9000775026  o e        .004910   .007856

13   2950.4254218887  r c        .004880   .007808

15   2757.2266889968  p r        .004860   .007776

18   2490.8881239706  h e        .004830   .007728

20   2327.7806528390              s        .004810   .007696

23   2102.9250900930  ¦           c        .004780   .007648

26   1899.7897972685  ¦           e        .004750   .007600

28   1775.3884214973  ¦           n        .004730   .007568

31   1603.8920383988  ¦ d        .004700   .007520

34   1448.9616129576  ¦ o        .004670   .007472

36   1354.0812117939  ¦                    .004650   .007440

39   1223.2816484801  ¦           ¦        .004620   .007392

41   1143.1791443792  ¦           ¦        .004600   .007360

44   1032.7519915822  ¦           ¦        .004570   .007312

47   932.9917199427   ¦           ¦        .004540   .007264

49   871.8978801343   ¦           ¦        .004520   .007232

52   787.6755595065   ¦           ¦        .004490   .007184

54   736.0972620523   ¦           ¦        .004470   .007152

57   664.9928115996   ¦           ¦        .004440   .007104

60   600.7568052164   ¦           ¦        .004410   .007056

62   561.4182567200   ¦           ¦        .004390   .007024

65   507.1871942285   ¦           ¦        .004360   .006976

68   458.1946648694   ¦           ¦        .004330   .006928

70   428.1913209401   ¦           ¦        .004310   .006896

73   386.8295198118   ¦           ¦        .004280   .006848

75   361.4992835285   ¦           ¦        .004260   .006816

78   326.5797026260   ¦           ¦        .004230   .006768

81   295.0332325040   ¦           ¦        .004200   .006720

83   275.7139688283   ¦           ¦        .004180   .006688

86   249.0809527225   ¦           ¦        .004150   .006640

89   225.0205938887   ¦           ¦        .004120   .006592

91   210.2858735018   ¦           ¦        .004100   .006560

94   189.9729851865   ¦           ¦        .004070   .006512

96   177.5332401417   ¦           ¦        .004050   .006480

99   160.3841429665   ¦           ¦        .004020   .006432

102  144.8915892853   ¦           ¦        .003990   .006384

104  135.4038485517   ¦           ¦        .003970   .006352

107  122.3243049414   ¦           ¦        .003940   .006304

109  114.3143072843   ¦           ¦        .003920   .006272

112  103.2719404432   ¦           ¦        .003890   .006224

115  93.2962280599    ¦           ¦        .003860   .006176

117  87.1870368527    ¦           ¦        .003840   .006144

120  78.7650705425    ¦           ¦        .003810   .006096

123  71.1566370589    ¦           ¦        .003780   .006048

125  66.4971828614    ¦           ¦        .003760   .006016

128  60.0737849114    ¦           ¦        .003730   .005968

130  56.1400541895    ¦           ¦        .003710   .005936

133  50.7171190594    ¦           ¦        .003680   .005888

136  45.8180207131    ¦           ¦        .003650   .005840

138  42.8177809918    ¦           ¦        .003630   .005808

141  38.6817313908                         .003600   .005760

143  36.1487876887    square 0°*  mp       .003580   .005728

sequence values:

2 5 7 10 13 15 18 20 23 26 28 31 34 36 39 41 44 47 49 52 54 57 60 62 65 68 70 73 75 78 81 83 86 89 91 94 96 99 102 104 107 109 112 115 117 120 123 125 128 130 133 136 138 141 143

graph:

letzte Partitur nächste Partitur

Verzeichniseintrag zu diesem Werk

zum Hauptmenü