Collection VIII

Fibonacci Transform B no. 21

Casey Mongoven

August 25, 2008

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Catalogue Entry B1025 & Files
Parameters   Sequence Values & Graph
description of sequence: define a(1) = 1, a(n) = F(floor(log(sqrt(5) * n)/log(F)) + 1) - a(n - F(floor(log(sqrt(5) * n)/log(F))))) where F = (1 + sqrt(5))/2 and F(n) is the Fibonacci sequence; a(F(n)) = F(2n + 1) - F(n + 1)^2 + F(n)F(n - 1) if F(n) is even else a(F(n)) = F(2n) - 1
offset: 1
number of members used: 144
number of channels: 2
piece length: 18.72 seconds
note value: .13 seconds
orientation: descending
temperament: phi^10 + 1
lowest frequency: 67.7937644 Hz    highest frequency: 214.08 Hz   
number of unique frequencies: 89
synthesis technique: wavetable with FFT resynthesis
wave source: Sperrhake harpsichord
dynamic: mf to pp
simulated spatial location: left to right
delay: -.001 to .001
attack: .0063 to .0058 (roll-off .0000035)
release: .0102 to .0094 (roll-off .0000056)
synthesis language used: Csound
integer frequency dynamic s.s.l. attack release
1 214.0800 mf left .006300 .010200
2 212.3534 mf left .006296 .010194
4 208.9420 mf left .006289 .010183
6 205.5853 mf left .006282 .010171
7 203.9273 mf left .006278 .010166
9 200.6512 mf left .006271 .010154
11 197.4277 mf left .006264 .010143
12 195.8354 mf left .006261 .010138
14 192.6893 mf left .006254 .010126
15 191.1353 mf left .006250 .010121
17 188.0647 mf left .006243 .010109
19 185.0434 mf middle left .006236 .010098
20 183.5510 mf middle left .006233 .010093
22 180.6023 mf middle left .006226 .010081
23 179.1457 mf middle left .006222 .010076
25 176.2677 mp middle left .006215 .010064
27 173.4360 mp middle left .006208 .010053
28 172.0372 mp middle left .006204 .010047
30 169.2734 mp middle left .006197 .010036
32 166.5540 mp middle left .006190 .010025
33 165.2108 mp middle left .006187 .010019
35 162.5566 mp middle left .006180 .010008
36 161.2456 mp middle left .006176 .010002
38 158.6552 mp middle left .006169 .009991
40 156.1064 mp middle left .006162 .009980
41 154.8474 mp middle left .006159 .009974
43 152.3598 mp middle left .006152 .009963
44 151.1310 mp middle left .006148 .009957
46 148.7030 mp middle left .006141 .009946
48 146.3141 mp middle left .006134 .009935
49 145.1341 mp middle left .006130 .009929
51 142.8025 mp middle left .006123 .009918
53 140.5084 mp middle left .006116 .009907
54 139.3752 mp middle left .006113 .009901
56 137.1361 mp middle .006106 .009890
57 136.0301 mp middle .006102 .009884
59 133.8448 mp middle .006095 .009873
61 131.6945 mp middle .006088 .009861
62 130.6324 mp middle .006085 .009856
64 128.5338 mp middle .006078 .009845
66 126.4689 mp middle .006071 .009833
67 125.4489 mp middle .006067 .009828
69 123.4336 mp middle .006060 .009816
70 122.4381 mp middle .006057 .009811
72 120.4711 mp middle .006050 .009800
74 118.5357 p middle .006042 .009788
75 117.5797 p middle .006039 .009783
77 115.6908 p middle .006032 .009771
78 114.7578 p middle .006028 .009766
80 112.9142 p middle .006021 .009754
82 111.1002 p middle .006014 .009743
83 110.2042 p middle .006011 .009738
85 108.4337 p middle .006004 .009726
87 106.6918 p middle .005997 .009715
88 105.8313 p middle .005993 .009709
90 104.1311 p middle right .005986 .009698
91 103.2913 p middle right .005983 .009692
93 101.6319 p middle right .005976 .009681
95 99.99917 p middle right .005969 .009670
96 99.19267 p middle right .005965 .009664
98 97.59914 p middle right .005958 .009653
100 96.03120 p middle right .005951 .009642
101 95.25671 p middle right .005947 .009636
103 93.72641 p middle right .005940 .009625
104 92.97050 p middle right .005937 .009619
106 91.47692 p middle right .005930 .009608
108 90.00734 p middle right .005923 .009597
109 89.28143 p middle right .005919 .009591
111 87.84712 p middle right .005912 .009580
112 87.13863 p middle right .005909 .009574
114 85.73874 p middle right .005902 .009563
116 84.36134 p middle right .005895 .009552
117 83.68097 p middle right .005891 .009546
119 82.33663 p middle right .005884 .009535
121 81.01389 pp middle right .005877 .009523
122 80.36051 pp middle right .005873 .009518
124 79.06951 pp middle right .005866 .009507
125 78.43181 pp middle right .005863 .009501
127 77.17180 pp right .005856 .009490
129 75.93203 pp right .005849 .009478
130 75.31964 pp right .005845 .009473
132 74.10962 pp right .005838 .009461
133 73.51193 pp right .005835 .009456
135 72.33095 pp right .005828 .009445
137 71.16895 pp right .005821 .009433
138 70.59497 pp right .005817 .009428
140 69.46086 pp right .005810 .009416
142 68.34497 pp right .005803 .009405
143 67.79376 pp right .005800 .009400