Collection VII

Fibonacci Transform B no. 16

Casey Mongoven

May 22, 2008

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: 377
number of channels: 2
piece length: 19.981 seconds
note value: .053 seconds
orientation: descending
temperament: phi^12 + 1
lowest frequency: 135.7972469 Hz highest frequency: 434.4 Hz
number of unique frequencies: 233
synthesis technique: stretched samples
wave source: sung close front unrounded vowel (IPA i)
dynamic: ff to p
simulated spatial location: right to left
delay: .0013 to -.0013
attack: .0063
release: .0102
synthesis language used: Csound

integer	frequency	dynamic	s.s.l.

1	434.4000	ff	right
2	433.0551
4	430.3778
6	427.7170
7	426.3928
9	423.7566
11	421.1368
12	419.8329
14	417.2374
15	415.9456
17	413.3740
19	410.8184
20	409.5465
22	407.0145
23	405.7544
25	403.2458
27	400.7528
28	399.5121
30	397.0421
32	394.5874
33	393.3658
35	390.9338
36	389.7235
38	387.3141
40	384.9195
41	383.7278
43	381.3554
44	380.1748
46	377.8244
48	375.4885
49	374.3260
51	372.0117
53	369.7118
54	368.5672
56	366.2885
57	365.1545
59	362.8970
61	360.6534
62	359.5368
64	357.3140
66	355.1049
67	354.0055
69	351.8169
70	350.7277
72	348.5593
74	346.4044
75	345.3319
77	343.1969
78	342.1344
80	340.0192
82	337.9170
83	336.8708
85	334.7881
87	332.7183
88	331.6882
90	329.6376
91	328.6170
93	326.5854
95	324.5663
96	323.5615
98	321.5611
100	319.5730
101	318.5836
103	316.6140
104	315.6338
106	313.6824
108	311.7431
109	310.7779
111	308.8566
112	307.9003
114	305.9968
116	304.1050
117	303.1634
119	301.2892
121	299.4265
122	298.4994
124	296.6540
125	295.7355
127	293.9072
129	292.0901
130	291.1858
132	289.3856
133	288.4896
135	286.7061
137	284.9335
138	284.0514
140	282.2953
142	280.5500
143	279.6814
145	277.9523
146	277.0917
148	275.3787
150	273.6761
151	272.8288
153	271.1421
155	269.4658
156	268.6315
158	266.9707
159	266.1442
161	264.4988
163	262.8635
164	262.0497
166	260.4296
167	259.6233
169	258.0182
171	256.4230
172	255.6291
174	254.0487
176	252.4781
177	251.6964
179	250.1403
180	249.3659
182	247.8242
184	246.2920
185	245.5295
187	244.0116
189	242.5030
190	241.7522
192	240.2576
193	239.5137
195	238.0329
197	236.5613
198	235.8289
200	234.3709
201	233.6453
203	232.2008
205	230.7653
206	230.0508
208	228.6285
210	227.2151
211	226.5116
213	225.1112
214	224.4143
216	223.0268
218	221.6480
219	220.9618
221	219.5957
222	218.9158
224	217.5624
226	216.2173
227	215.5479
229	214.2153
231	212.8909
232	212.2318
234	210.9197
235	210.2667
237	208.9668
239	207.6748
240	207.0319
242	205.7519
244	204.4799
245	203.8468
247	202.5865
248	201.9593
250	200.7107
252	199.4698
253	198.8523
255	197.6229
256	197.0111
258	195.7930
260	194.5826
261	193.9801
263	192.7809
265	191.5890
266	190.9959
268	189.8150
269	189.2274
271	188.0575
273	186.8948
274	186.3162
276	185.1643
277	184.5911
279	183.4498
281	182.3157
282	181.7512
284	180.6276
286	179.5108
287	178.9551
289	177.8487
290	177.2981
292	176.2019
294	175.1126
295	174.5704
297	173.4912
299	172.4186
300	171.8848
302	170.8221
303	170.2932
305	169.2404
307	168.1941
308	167.6734
310	166.6367
311	166.1208
313	165.0938
315	164.0731
316	163.5652
318	162.5539
320	161.5489
321	161.0488
323	160.0531
324	159.5576
326	158.5711
328	157.5908
329	157.1029
331	156.1316
333	155.1663
334	154.6859
336	153.7296
337	153.2537
339	152.3062
341	151.3646
342	150.8959
344	149.9630
345	149.4987
347	148.5745
349	147.6559
350	147.1988
352	146.2887
354	145.3843
355	144.9342
357	144.0382
358	143.5922
360	142.7045
362	141.8222
363	141.3831
365	140.5090
366	140.0740
368	139.2080
370	138.3474
371	137.9191
373	137.0664
375	136.2190
376	135.7972	p	left