Collection VII

Fibonacci Transform B no. 17

Casey Mongoven

May 30, 2008

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Catalogue Entry B939 & 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: 377
number of channels: 2
piece length: 21.866 seconds
note value: .058 seconds
orientation: descending
temperament: phi^11 + 1
lowest frequency: 80.892962 Hz    highest frequency: 529.95 Hz   
number of unique frequencies: 233
synthesis technique: wavetable
wave: blend from wave one to wave two not using pure forms
wave one source in pure form: spoken voiceless labiodental fricative (IPA f)
wave two source in pure form: spoken alveolar lateral approximant (IPA l)
dynamic: ff to mf
simulated spatial location: right to left
delay: .0013 to -.0013
attack: .0063 to .0055 (roll-off .0000021)
release: .0102 to .0089 (roll-off .0000035)
synthesis language used: Csound
integer frequency wave dynamic s.s.l. attack release
1 529.9500 w1*.845+w2*.155 ff right .006300 .010200
2 527.3003 w1*.844+w2*.156 ff right .006297 .010196
4 522.0406 w1*.84+w2*.16 ff right .006293 .010189
6 516.8334 w1*.837+w2*.163 ff right .006289 .010182
7 514.2493 w1*.835+w2*.165 ff right .006287 .010179
9 509.1198 w1*.831+w2*.169 ff right .006282 .010172
11 504.0415 w1*.827+w2*.173 ff right .006278 .010165
12 501.5213 w1*.825+w2*.175 ff right .006276 .010161
14 496.5188 w1*.82+w2*.18 ff right .006272 .010154
15 494.0362 w1*.818+w2*.182 ff right .006270 .010151
17 489.1083 w1*.813+w2*.187 ff right .006265 .010144
19 484.2296 w1*.808+w2*.192 ff right .006261 .010137
20 481.8085 w1*.806+w2*.194 ff right .006259 .010134
22 477.0026 w1*.801+w2*.199 ff right .006255 .010127
23 474.6176 w1*.798+w2*.202 ff right .006253 .010123
25 469.8835 w1*.793+w2*.207 ff right .006248 .010116
27 465.1965 w1*.787+w2*.213 ff right .006244 .010109
28 462.8706 w1*.785+w2*.215 ff right .006242 .010106
30 458.2535 w1*.779+w2*.221 ff right .006238 .010099
32 453.6826 w1*.774+w2*.226 ff right .006233 .010092
33 451.4142 w1*.771+w2*.229 ff right .006231 .010089
35 446.9115 w1*.765+w2*.235 ff right .006227 .010082
36 444.6770 w1*.762+w2*.238 ff right .006225 .010078
38 440.2414 w1*.757+w2*.243 ff right .006221 .010071
40 435.8501 w1*.751+w2*.249 ff right .006216 .010064
41 433.6709 w1*.748+w2*.252 ff right .006214 .010061
43 429.3452 w1*.742+w2*.258 ff right .006210 .010054
44 427.1985 w1*.74+w2*.26 ff right .006208 .010050
46 422.9373 w1*.734+w2*.266 ff right .006204 .010044
48 418.7186 w1*.728+w2*.272 ff middle right .006199 .010037
49 416.6251 w1*.725+w2*.275 ff middle right .006197 .010033
51 412.4693 w1*.719+w2*.281 ff middle right .006193 .010026
53 408.3551 w1*.713+w2*.287 ff middle right .006189 .010019
54 406.3133 w1*.71+w2*.29 ff middle right .006186 .010016
56 402.2605 w1*.704+w2*.296 ff middle right .006182 .010009
57 400.2492 w1*.701+w2*.299 ff middle right .006180 .010005
59 396.2568 w1*.695+w2*.305 ff middle right .006176 .009998
61 392.3043 w1*.689+w2*.311 ff middle right .006172 .009992
62 390.3428 w1*.686+w2*.314 ff middle right .006169 .009988
64 386.4492 w1*.681+w2*.319 ff middle right .006165 .009981
66 382.5945 w1*.675+w2*.325 ff middle right .006161 .009974
67 380.6816 w1*.672+w2*.328 ff middle right .006159 .009971
69 376.8844 w1*.666+w2*.334 ff middle right .006154 .009964
70 375.0000 w1*.664+w2*.336 ff middle right .006152 .009960
72 371.2595 w1*.658+w2*.342 ff middle right .006148 .009953
74 367.5562 w1*.653+w2*.347 ff middle right .006144 .009946
75 365.7185 w1*.65+w2*.35 ff middle right .006142 .009943
77 362.0705 w1*.645+w2*.355 ff middle right .006137 .009936
78 360.2602 w1*.642+w2*.358 ff middle right .006135 .009933
80 356.6667 w1*.636+w2*.364 ff middle right .006131 .009926
82 353.1091 w1*.631+w2*.369 ff middle right .006127 .009919
83 351.3436 w1*.628+w2*.372 ff middle right .006125 .009915
85 347.8390 w1*.623+w2*.377 ff middle right .006120 .009908
87 344.3694 w1*.618+w2*.382 ff middle right .006116 .009901
88 342.6476 w1*.615+w2*.385 ff middle right .006114 .009898
90 339.2298 w1*.609+w2*.391 ff middle right .006110 .009891
91 337.5337 w1*.606+w2*.394 ff middle right .006108 .009888
93 334.1669 w1*.6+w2*.4 ff middle right .006103 .009881
95 330.8336 w1*.594+w2*.406 f middle right .006099 .009874
96 329.1795 w1*.591+w2*.409 f middle right .006097 .009870
98 325.8960 w1*.585+w2*.415 f middle right .006093 .009863
100 322.6453 w1*.578+w2*.422 f middle right .006088 .009856
101 321.0321 w1*.575+w2*.425 f middle right .006086 .009853
103 317.8299 w1*.569+w2*.431 f middle right .006082 .009846
104 316.2408 w1*.565+w2*.435 f middle right .006080 .009842
106 313.0863 w1*.559+w2*.441 f middle right .006076 .009836
108 309.9634 w1*.552+w2*.448 f middle right .006071 .009829
109 308.4136 w1*.549+w2*.451 f middle right .006069 .009825
111 305.3373 w1*.543+w2*.457 f middle right .006065 .009818
112 303.8106 w1*.54+w2*.46 f middle right .006063 .009815
114 300.7802 w1*.534+w2*.466 f middle right .006058 .009808
116 297.7800 w1*.528+w2*.472 f middle right .006054 .009801
117 296.2911 w1*.525+w2*.475 f middle right .006052 .009797
119 293.3357 w1*.52+w2*.48 f middle right .006048 .009790
121 290.4097 w1*.514+w2*.486 f middle right .006044 .009784
122 288.9577 w1*.512+w2*.488 f middle right .006041 .009780
124 286.0754 w1*.507+w2*.493 f middle right .006037 .009773
125 284.6451 w1*.505+w2*.495 f middle right .006035 .009770
127 281.8058 w1*.501+w2*.499 f middle right .006031 .009763
129 278.9949 w1*.497+w2*.503 f middle right .006026 .009756
130 277.6000 w1*.495+w2*.505 f middle right .006024 .009752
132 274.8310 w1*.491+w2*.509 f middle right .006020 .009745
133 273.4568 w1*.49+w2*.51 f middle right .006018 .009742
135 270.7292 w1*.486+w2*.514 f middle right .006014 .009735
137 268.0287 w1*.483+w2*.517 f middle right .006009 .009728
138 266.6886 w1*.481+w2*.519 f middle right .006007 .009725
140 264.0285 w1*.478+w2*.522 f middle right .006003 .009718
142 261.3948 w1*.475+w2*.525 f middle .005999 .009711
143 260.0879 w1*.474+w2*.526 f middle .005997 .009707
145 257.4936 w1*.471+w2*.529 f middle .005992 .009700
146 256.2062 w1*.47+w2*.53 f middle .005990 .009697
148 253.6506 w1*.467+w2*.533 f middle .005986 .009690
150 251.1205 w1*.464+w2*.536 f middle .005982 .009683
151 249.8649 w1*.462+w2*.538 f middle .005980 .009680
153 247.3725 w1*.46+w2*.54 f middle .005975 .009673
155 244.9051 w1*.457+w2*.543 f middle .005971 .009666
156 243.6806 w1*.456+w2*.544 f middle .005969 .009662
158 241.2499 w1*.453+w2*.547 f middle .005965 .009655
159 240.0437 w1*.451+w2*.549 f middle .005962 .009652
161 237.6493 w1*.448+w2*.552 f middle .005958 .009645
163 235.2788 w1*.446+w2*.554 f middle .005954 .009638
164 234.1025 w1*.444+w2*.556 f middle .005952 .009634
166 231.7674 w1*.441+w2*.559 f middle .005948 .009628
167 230.6085 w1*.44+w2*.56 f middle .005945 .009624
169 228.3083 w1*.436+w2*.564 f middle .005941 .009617
171 226.0310 w1*.433+w2*.567 f middle .005937 .009610
172 224.9008 w1*.432+w2*.568 f middle .005935 .009607
174 222.6575 w1*.428+w2*.572 f middle .005930 .009600
176 220.4366 w1*.425+w2*.575 f middle .005926 .009593
177 219.3344 w1*.424+w2*.576 f middle .005924 .009589
179 217.1466 w1*.42+w2*.58 f middle .005920 .009582
180 216.0609 w1*.419+w2*.581 f middle .005918 .009579
182 213.9057 w1*.415+w2*.585 f middle .005913 .009572
184 211.7721 w1*.412+w2*.588 f middle .005909 .009565
185 210.7132 w1*.411+w2*.589 f middle .005907 .009562
187 208.6114 w1*.407+w2*.593 f middle .005903 .009555
189 206.5306 w1*.404+w2*.596 f middle .005898 .009548
190 205.4980 w1*.403+w2*.597 f middle .005896 .009544
192 203.4482 w1*.4+w2*.6 f middle .005892 .009537
193 202.4310 w1*.398+w2*.602 f middle .005890 .009534
195 200.4118 w1*.395+w2*.605 f middle .005886 .009527
197 198.4127 w1*.392+w2*.608 f middle .005881 .009520
198 197.4207 w1*.391+w2*.609 f middle .005879 .009517
200 195.4514 w1*.388+w2*.612 f middle .005875 .009510
201 194.4742 w1*.387+w2*.613 f middle .005873 .009506
203 192.5344 w1*.384+w2*.616 f middle .005869 .009499
205 190.6139 w1*.381+w2*.619 f middle .005864 .009492
206 189.6608 w1*.38+w2*.62 f middle .005862 .009489
208 187.7690 w1*.377+w2*.623 f middle .005858 .009482
210 185.8961 w1*.374+w2*.626 f middle .005854 .009475
211 184.9666 w1*.373+w2*.627 f middle .005852 .009472
213 183.1216 w1*.37+w2*.63 f middle .005847 .009465
214 182.2060 w1*.369+w2*.631 f middle .005845 .009461
216 180.3886 w1*.366+w2*.634 f middle .005841 .009454
218 178.5893 w1*.363+w2*.637 f middle .005837 .009447
219 177.6963 w1*.362+w2*.638 f middle .005834 .009444
221 175.9239 w1*.359+w2*.641 f middle .005830 .009437
222 175.0443 w1*.358+w2*.642 f middle .005828 .009433
224 173.2982 w1*.355+w2*.645 f middle .005824 .009426
226 171.5696 w1*.353+w2*.647 f middle .005820 .009420
227 170.7118 w1*.351+w2*.649 f middle .005817 .009416
229 169.0090 w1*.349+w2*.651 f middle .005813 .009409
231 167.3232 w1*.346+w2*.654 f middle .005809 .009402
232 166.4866 w1*.345+w2*.655 f middle .005807 .009399
234 164.8259 w1*.342+w2*.658 f middle .005802 .009392
235 164.0018 w1*.341+w2*.659 f middle .005800 .009388
237 162.3659 w1*.338+w2*.662 f middle left .005796 .009381
239 160.7464 w1*.335+w2*.665 f middle left .005792 .009374
240 159.9427 w1*.334+w2*.666 f middle left .005790 .009371
242 158.3473 w1*.331+w2*.669 f middle left .005785 .009364
244 156.7678 w1*.329+w2*.671 f middle left .005781 .009357
245 155.9840 w1*.327+w2*.673 f middle left .005779 .009354
247 154.4281 w1*.325+w2*.675 f middle left .005775 .009347
248 153.6560 w1*.323+w2*.677 f middle left .005773 .009343
250 152.1233 w1*.321+w2*.679 f middle left .005768 .009336
252 150.6059 w1*.318+w2*.682 f middle left .005764 .009329
253 149.8529 w1*.317+w2*.683 f middle left .005762 .009326
255 148.3581 w1*.314+w2*.686 f middle left .005758 .009319
256 147.6164 w1*.313+w2*.687 f middle left .005756 .009316
258 146.1439 w1*.31+w2*.69 f middle left .005751 .009309
260 144.6862 w1*.307+w2*.693 f middle left .005747 .009302
261 143.9628 w1*.306+w2*.694 f middle left .005745 .009298
263 142.5268 w1*.304+w2*.696 f middle left .005741 .009291
265 141.1051 w1*.301+w2*.699 f middle left .005736 .009284
266 140.3996 w1*.3+w2*.7 f middle left .005734 .009281
268 138.9991 w1*.297+w2*.703 f middle left .005730 .009274
269 138.3042 w1*.296+w2*.704 f middle left .005728 .009270
271 136.9246 w1*.294+w2*.706 f middle left .005724 .009264
273 135.5588 w1*.291+w2*.709 f middle left .005719 .009257
274 134.8810 w1*.29+w2*.71 f middle left .005717 .009253
276 133.5356 w1*.287+w2*.713 f middle left .005713 .009246
277 132.8680 w1*.286+w2*.714 f middle left .005711 .009243
279 131.5427 w1*.284+w2*.716 f middle left .005706 .009236
281 130.2305 w1*.281+w2*.719 f middle left .005702 .009229
282 129.5794 w1*.28+w2*.72 f middle left .005700 .009225
284 128.2869 w1*.278+w2*.722 mf middle left .005696 .009218
286 127.0073 w1*.276+w2*.724 mf middle left .005692 .009212
287 126.3722 w1*.275+w2*.725 mf middle left .005689 .009208
289 125.1117 w1*.272+w2*.728 mf middle left .005685 .009201
290 124.4862 w1*.271+w2*.729 mf middle left .005683 .009198
292 123.2444 w1*.269+w2*.731 mf middle left .005679 .009191
294 122.0151 w1*.267+w2*.733 mf middle left .005674 .009184
295 121.4051 w1*.266+w2*.734 mf middle left .005672 .009180
297 120.1941 w1*.264+w2*.736 mf middle left .005668 .009173
299 118.9952 w1*.261+w2*.739 mf middle left .005664 .009166
300 118.4002 w1*.26+w2*.74 mf middle left .005662 .009163
302 117.2192 w1*.258+w2*.742 mf middle left .005657 .009156
303 116.6331 w1*.257+w2*.743 mf middle left .005655 .009153
305 115.4697 w1*.255+w2*.745 mf middle left .005651 .009146
307 114.3179 w1*.253+w2*.747 mf middle left .005647 .009139
308 113.7464 w1*.252+w2*.748 mf middle left .005645 .009135
310 112.6118 w1*.25+w2*.75 mf middle left .005640 .009128
311 112.0487 w1*.248+w2*.752 mf middle left .005638 .009125
313 110.9311 w1*.246+w2*.754 mf middle left .005634 .009118
315 109.8246 w1*.244+w2*.756 mf middle left .005630 .009111
316 109.2754 w1*.243+w2*.757 mf middle left .005628 .009108
318 108.1855 w1*.241+w2*.759 mf middle left .005623 .009101
320 107.1063 w1*.239+w2*.761 mf middle left .005619 .009094
321 106.5708 w1*.237+w2*.763 mf middle left .005617 .009090
323 105.5078 w1*.235+w2*.765 mf middle left .005613 .009083
324 104.9803 w1*.234+w2*.766 mf middle left .005610 .009080
326 103.9331 w1*.232+w2*.768 mf middle left .005606 .009073
328 102.8964 w1*.229+w2*.771 mf middle left .005602 .009066
329 102.3819 w1*.228+w2*.772 mf middle left .005600 .009062
331 101.3607 w1*.226+w2*.774 mf left .005596 .009056
333 100.3497 w1*.223+w2*.777 mf left .005591 .009049
334 99.84792 w1*.222+w2*.778 mf left .005589 .009045
336 98.85197 w1*.22+w2*.78 mf left .005585 .009038
337 98.35772 w1*.219+w2*.781 mf left .005583 .009035
339 97.37663 w1*.216+w2*.784 mf left .005578 .009028
341 96.40532 w1*.214+w2*.786 mf left .005574 .009021
342 95.92330 w1*.212+w2*.788 mf left .005572</