Collection IV

Fibonacci Transform B no. 4

Casey Mongoven

December 3, 2006

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 Catalogue Entry B468 & Files
Parameters   Sequence Values & Graph
description of sequence: define a(1) = 1, a(n) = F(floor(log(sqrt(5)*n)/log(Φ))+1)-a(n-F(floor(log(sqrt(5)*n)/log(Φ))))) where Φ = (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: 89
piece length: 4.984 seconds
note value: .056 seconds
orientation: ascending
temperament: phi^8 + 1
lowest frequency: 130.0000 Hz    highest frequency: 2587.530 Hz
number of unique frequencies: 56
wave: saw to square
dynamic: mf to ff
simulated spatial location: -21° to 21°
attack: .006
release: .0097
integer      frequency      wave      dynamic      s.s.l.      n.o.     
1      130.0000      saw      mf      -21°      1     
2      132.7672      saw*.99296,square*.00704      mf+      -20.70°      2     
4      138.4796      saw*.97887,square*.02113      mf+      -20.11°      1     
6      144.4378      saw*.96479,square*.03521      mf+      -19.52°      2     
7      147.5123      saw*.95775,square*.04225      mf+      -19.23°      2     
9      153.8591      saw*.94366,square*.05634      mf+      -18.63°      1     
11      160.4790      saw*.92958,square*.07042      mf+      -18.04°      2     
12      163.8950      saw*.92254,square*.07746      mf+      -17.75°      1     
14      170.9466      saw*.90845,square*.09155      mf+      -17.15°      2     
15      174.5855      saw*.90141,square*.09859      mf+      -16.86°      2     
17      182.0971      saw*.88732,square*.11268      mf+      -16.27°      1     
19      189.9319      saw*.87324,square*.12676      mf+      -15.68°      2     
20      193.9749      saw*.86620,square*.13380      mf+      -15.38°      2     
22      202.3207      saw*.85211,square*.14789      mf+      -14.79°      1     
23      206.6274      saw*.84507,square*.15493      mf+      -14.49°      2     
25      215.5177      saw*.83099,square*.16901      mf+      -13.90°      1     
27      224.7904      saw*.81690,square*.18310      mf+      -13.31°      2     
28      229.5754      saw*.80986,square*.19014      mf+      -13.01°      2     
30      239.4530      saw*.79577,square*.20423      mf+      -12.42°      1     
32      249.7556      saw*.78169,square*.21831      mf+      -11.83°      2     
33      255.0719      saw*.77465,square*.22535      mf+      -11.54°      1     
35      266.0466      saw*.76056,square*.23944      mf+      -10.94°      2     
36      271.7097      saw*.75352,square*.24648      mf+      -10.65°      2     
38      283.4002      saw*.73944,square*.26056      f-      -10.06°      1     
40      295.5936      saw*.72535,square*.27465      f-      -9.46°      2     
41      301.8857      saw*.71831,square*.28169      f-      -9.17°      2     
43      314.8745      saw*.70423,square*.29577      f-      -8.58°      1     
44      321.5770      saw*.69718,square*.30282      f-      -8.28°      2     
46      335.4130      saw*.68310,square*.31690      f-      -7.69°      1     
48      349.8444      saw*.66901,square*.33099      f-      -7.10°      2     
49      357.2912      saw*.66197,square*.33803      f-      -6.80°      2     
51      372.6639      saw*.64789,square*.35211      f-      -6.21°      1     
53      388.6980      saw*.63380,square*.36620      f-      -5.62°      2     
54      396.9719      saw*.62676,square*.37324      f-      -5.32°      2     
56      414.0518      saw*.61268,square*.38732      f-      -4.73°      1     
57      422.8654      saw*.60563,square*.39437      f-      -4.44°      2     
59      441.0595      saw*.59155,square*.40845      f-      -3.85°      1     
61      460.0363      saw*.57746,square*.42254      f-      -3.25°      2     
62      469.8287      saw*.57042,square*.42958      f-      -2.96°      2     
64      490.0434      saw*.55634,square*.44366      f-      -2.37°      1     
66      511.1278      saw*.54225,square*.45775      f-      -1.77°      2     
67      522.0078      saw*.53521,square*.46479      f-      -1.48°      1     
69      544.4675      saw*.52113,square*.47887      f-      -.89°      2     
70      556.0571      saw*.51408,square*.48592      f-      -.59°      2     
72      579.9818      saw*.50000,square*.50000      f      .00°      1     
74      604.9358      saw*.48592,square*.51408      f+      .59°      2     
75      617.8127      saw*.47887,square*.52113      f+      .89°      2     
77      644.3944      saw*.46479,square*.53521      f+      1.48°      1     
78      658.1111      saw*.45775,square*.54225      f+      1.77°      2     
80      686.4267      saw*.44366,square*.55634      f+      2.37°      1     
82      715.9606      saw*.42958,square*.57042      f+      2.96°      2     
83      731.2008      saw*.42254,square*.57746      f+      3.25°      2     
85      762.6611      saw*.40845,square*.59155      f+      3.85°      1     
87      795.4750      saw*.39437,square*.60563      f+      4.44°      2     
88      812.4077      saw*.38732,square*.61268      f+      4.73°      1     
143      2587.530      square      ff      21°      1