Collection VI

Fibonacci Transform B no. 13

Casey Mongoven

March 26, 2008

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Catalogue Entry B819 & 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: 610
number of channels: 2
piece length: 32.94 seconds
note value: .054 seconds
orientation: descending
temperament: phi^13 + 1
lowest frequency: 96.9873959 Hz    highest frequency: 641.21 Hz   
number of unique frequencies: 378
synthesis technique: wavetable
wave source: large balloon
dynamic: f to pp
simulated spatial location: left to right
delay: -.0019 to .0019
attack: .0055 to .0063 (roll-off -.0000008)
release: .0089 to .0102 (roll-off -.0000013)
synthesis language used: Csound
integer frequency dynamic s.s.l. attack release
1 641.2100 f left .005500 .008900
2 639.9816 f left .005500 .008901
4 637.5320 f left .005502 .008903
6 635.0917 f left .005504 .008906
7 633.8750 f left .005504 .008907
9 631.4487 f left .005506 .008910
11 629.0317 f left .005508 .008913
12 627.8266 f left .005508 .008914
14 625.4235 f left .005510 .008917
15 624.2254 f left .005511 .008918
17 621.8360 f left .005512 .008921
19 619.4558 f left .005514 .008923
20 618.2691 f left .005515 .008925
22 615.9025 f left .005517 .008927
23 614.7226 f left .005517 .008929
25 612.3696 f left .005519 .008931
27 610.0256 f left .005521 .008934
28 608.8570 f left .005521 .008935
30 606.5265 f left .005523 .008938
32 604.2049 f left .005525 .008940
33 603.0474 f left .005525 .008942
35 600.7391 f left .005527 .008944
36 599.5882 f left .005528 .008946
38 597.2932 f left .005530 .008948
40 595.0069 f left .005531 .008951
41 593.8670 f left .005532 .008952
43 591.5939 f left .005534 .008955
44 590.4606 f left .005534 .008956
46 588.2004 f left .005536 .008959
48 585.9490 f left .005538 .008962
49 584.8265 f left .005538 .008963
51 582.5879 f left .005540 .008965
53 580.3579 f left .005542 .008968
54 579.2461 f left .005543 .008969
56 577.0289 f left .005544 .008972
57 575.9235 f left .005545 .008973
59 573.7190 f left .005547 .008976
61 571.5230 f left .005548 .008979
62 570.4281 f left .005549 .008980
64 568.2447 f left .005551 .008983
66 566.0696 f left .005552 .008985
67 564.9851 f left .005553 .008987
69 562.8225 f left .005555 .008989
70 561.7443 f left .005556 .008991
72 559.5941 f left .005557 .008993
74 557.4521 f left .005559 .008996
75 556.3842 f left .005560 .008997
77 554.2545 f left .005561 .009000
78 553.1928 f left .005562 .009001
80 551.0753 f left .005564 .009004
82 548.9659 f left .005565 .009006
83 547.9143 f left .005566 .009008
85 545.8170 f left .005568 .009010
87 543.7277 f left .005569 .009013
88 542.6861 f left .005570 .009014
90 540.6089 f left .005572 .009017
91 539.5732 f left .005573 .009018
93 537.5079 f left .005574 .009021
95 535.4504 f left .005576 .009024
96 534.4247 f left .005577 .009025
98 532.3790 f left .005578 .009028
100 530.3412 f left .005580 .009030
101 529.3253 f left .005581 .009031
103 527.2991 f left .005582 .009034
104 526.2890 f left .005583 .009035
106 524.2745 f left .005585 .009038
108 522.2677 f left .005586 .009041
109 521.2672 f left .005587 .009042
111 519.2719 f left .005589 .009045
112 518.2772 f left .005590 .009046
114 516.2933 f left .005591 .009049
116 514.3171 f left .005593 .009051
117 513.3318 f left .005594 .009053
119 511.3669 f left .005595 .009055
121 509.4096 f left .005597 .009058
122 508.4337 f left .005598 .009059
124 506.4875 f left .005599 .009062
125 505.5173 mf middle left .005600 .009063
127 503.5823 mf middle left .005602 .009066
129 501.6547 mf middle left .005603 .009068
130 500.6937 mf middle left .005604 .009070
132 498.7771 mf middle left .005606 .009072
133 497.8216 mf middle left .005607 .009074
135 495.9161 mf middle left .005608 .009076
137 494.0179 mf middle left .005610 .009079
138 493.0715 mf middle left .005611 .009080
140 491.1841 mf middle left .005612 .009083
142 489.3040 mf middle left .005614 .009086
143 488.3667 mf middle left .005615 .009087
145 486.4973 mf middle left .005616 .009090
146 485.5653 mf middle left .005617 .009091
148 483.7067 mf middle left .005619 .009094
150 481.8552 mf middle left .005621 .009096
151 480.9321 mf middle left .005621 .009097
153 479.0912 mf middle left .005623 .009100
155 477.2574 mf middle left .005625 .009103
156 476.3431 mf middle left .005625 .009104
158 474.5198 mf middle left .005627 .009107
159 473.6108 mf middle left .005628 .009108
161 471.7979 mf middle left .005629 .009111
163 469.9920 mf middle left .005631 .009113
164 469.0916 mf middle left .005632 .009115
166 467.2961 mf middle left .005634 .009117
167 466.4009 mf middle left .005634 .009119
169 464.6156 mf middle left .005636 .009121
171 462.8372 mf middle left .005638 .009124
172 461.9505 mf middle left .005638 .009125
174 460.1823 mf middle left .005640 .009128
176 458.4209 mf middle left .005642 .009130
177 457.5427 mf middle left .005642 .009132
179 455.7913 mf middle left .005644 .009134
180 454.9182 mf middle left .005645 .009136
182 453.1768 mf middle left .005647 .009138
184 451.4422 mf middle left .005648 .009141
185 450.5774 mf middle left .005649 .009142
187 448.8527 mf middle left .005651 .009145
189 447.1346 mf middle left .005652 .009148
190 446.2780 mf middle left .005653 .009149
192 444.5698 mf middle left .005655 .009152
193 443.7181 mf middle left .005655 .009153
195 442.0197 mf middle left .005657 .009156
197 440.3278 mf middle left .005659 .009158
198 439.4842 mf middle left .005660 .009160
200 437.8020 mf middle left .005661 .009162
201 436.9633 mf middle left .005662 .009163
203 435.2907 mf middle left .005664 .009166
205 433.6245 mf middle left .005665 .009169
206 432.7938 mf middle left .005666 .009170
208 431.1372 mf middle left .005668 .009173
210 429.4869 mf middle left .005669 .009175
211 428.6642 mf middle left .005670 .009177
213 427.0234 mf middle left .005672 .009179
214 426.2053 mf middle left .005672 .009181
216 424.5739 mf middle left .005674 .009183
218 422.9488 mf middle left .005676 .009186
219 422.1385 mf middle left .005677 .009187
221 420.5227 mf middle left .005678 .009190
222 419.7171 mf middle left .005679 .009191
224 418.1105 mf middle left .005681 .009194
226 416.5101 mf middle left .005682 .009196
227 415.7122 mf middle left .005683 .009198
229 414.1210 mf middle left .005685 .009200
231 412.5358 mf middle left .005686 .009203
232 411.7455 mf middle left .005687 .009204
234 410.1695 mf middle left .005689 .009207
235 409.3837 mf middle left .005690 .009208
237 407.8167 mf middle left .005691 .009211
239 406.2557 mf middle left .005693 .009214
240 405.4774 mf middle left .005694 .009215
242 403.9254 mf middle left .005695 .009218
244 402.3792 mf middle left .005697 .009220
245 401.6084 mf middle left .005698 .009222
247 400.0711 mf middle left .005699 .009224
248 399.3047 mf middle left .005700 .009225
250 397.7763 mf middle left .005702 .009228
252 396.2537 mf middle left .005703 .009231
253 395.4946 mf middle left .005704 .009232
255 393.9808 mf middle left .005706 .009235
256 393.2260 mf middle left .005707 .009236
258 391.7209 mf middle left .005708 .009239
260 390.2214 mf middle left .005710 .009241
261 389.4739 mf middle left .005711 .009243
263 387.9831 mf middle left .005712 .009245
265 386.4980 mf middle left .005714 .009248
266 385.7576 mf middle left .005715 .009249
268 384.2810 mf middle left .005716 .009252
269 383.5448 mf middle left .005717 .009253
271 382.0767 mf middle left .005719 .009256
273 380.6142 mf middle left .005720 .009258
274 379.8851 mf middle left .005721 .009260
276 378.4310 mf middle left .005723 .009262
277 377.7060 mf middle left .005724 .009264
279 376.2603 mf middle left .005725 .009266
281 374.8201 mf middle left .005727 .009269
282 374.1020 mf middle left .005728 .009270
284 372.6701 mf middle left .005729 .009273
286 371.2436 mf middle left .005731 .009276
287 370.5324 mf middle left .005732 .009277
289 369.1141 mf middle left .005733 .009280
290 368.4070 mf middle left .005734 .009281
292 366.9968 mf middle left .005736 .009284
294 365.5920 mf middle left .005737 .009286
295 364.8917 mf middle left .005738 .009288
297 363.4950 mf middle left .005740 .009290
299 362.1036 mf middle left .005742 .009293
300 361.4099 mf middle left .005742 .009294
302 360.0265 mf middle left .005744 .009297
303 359.3368 mf middle left .005745 .009298
305 357.9614 mf middle left .005746 .009301
307 356.5912 mf middle left .005748 .009303
308 355.9081 mf middle left .005749 .009305
310 354.5458 mf middle left .005750 .009307
311 353.8666 mf middle left .005751 .009309
313 352.5121 mf middle left .005753 .009311
315 351.1627 mf middle left .005755 .009314
316 350.4900 mf middle left .005755 .009315
318 349.1484 mf middle left .005757 .009318
320 347.8120 mf middle left .005759 .009321
321 347.1457 mf middle left .005759 .009322
323 345.8169 mf middle left .005761 .009324
324 345.1544 mf middle left .005762 .009326
326 343.8333 mf middle left .005763 .009328
328 342.5172 mf middle left .005765 .009331
329 341.8610 mf middle left .005766 .009332
331 340.5524 mf middle left .005768 .009335
333 339.2489 mf middle left .005769 .009338
334 338.5990 mf middle left .005770 .009339
336 337.3029 mf middle left .005772 .009342
337 336.6568 mf middle left .005772 .009343
339 335.3681 mf middle left .005774 .009346
341 334.0844 mf middle left .005776 .009348
342 333.4444 mf middle left .005776 .009350
344 332.1681 mf middle left .005778 .009352
345 331.5317 mf middle left .005779 .009354
347 330.2627 mf middle left .005781 .009356
349 328.9986 mf middle left .005782 .009359
350 328.3683 mf middle left .005783 .009360
352 327.1114 mf middle left .005785 .009363
354 325.8593 mf middle left .005786 .009365
355 325.2351 mf middle left .005787 .009367
357 323.9901 mf middle left .005789 .009369
358 323.3695 mf middle left .005789 .009371
360 322.1317 mf middle left .005791 .009373
362 320.8987 mf middle left .005793 .009376
363 320.2839 mf middle left .005794 .009377
365 319.0580 mf middle left .005795 .009380
366 318.4467 mf middle left .005796 .009381
368 317.2278 mf middle left .005798 .009384
370 316.0136 mf middle left .005799 .009387
371 315.4082 mp middle .005800 .009388
373 314.2009 mp middle .005802 .009390
375 312.9982 mp middle .005803 .009393
376 312.3986 mp middle .005804 .009394
378 311.2028 mp middle .005806 .009397
379 310.6066 mp middle .005807 .009398
381 309.4177 mp middle .005808 .009401
383 308.2333 mp middle .005810 .009404
384 307.6429 mp middle .005811 .009405
386 306.4653 mp middle .005812 .009408
388 305.2922 mp middle .005814 .009410
389 304.7074 mp middle .005815 .009412
391 303.5410 mp middle .005816 .009414
392 302.9595 mp middle .005817 .009416
394 301.7999 mp middle .005819 .009418
396 300.6447 mp middle .005820 .009421
397 300.0687 mp middle .005821 .009422
399 298.9201 mp middle .005823 .009425
400 298.3475 mp middle .005824 .009426
402 297.2055 mp middle .005825 .009429
404 296.0679 mp middle .005827 .009431
405 295.5007 mp middle .005828 .009433
407 294.3696 mp middle .005829 .009435
409 293.2428 mp middle .005831 .009438
410 292.6811 mp middle .005832 .009439
412 291.5608 mp middle .005833 .009442
413 291.0022 mp middle .005834 .009443
415 289.8883 mp middle .005836 .009446
417 288.7787 mp middle .005837 .009449
418 288.2255 mp middle .005838 .009450
420 287.1223 mp middle .005840 .009452
421 286.5722 mp middle .005841 .009454
423 285.4753 mp middle .005842 .009456
425 284.3826 mp middle .005844 .009459
426 283.8378 mp middle .005845 .009460
428 282.7513 mp middle .005846 .009463
430 281.6690 mp middle .005848 .009466
431 281.1294 mp middle .005849 .009467
433 280.0534 mp middle .005850 .009470
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451 270.5520 mp middle .005865 .009493
452 270.0337 mp middle .005866 .009495
454 269.0001 mp middle .005867 .009497
455 268.4848 mp middle .005868 .009499
457 267.4571 mp middle .005870 .009501
459 266.4334 mp middle .005871 .009504
460 265.9229 mp middle .005872 .009505
462 264.9051 mp middle .005874 .009508
464 263.8911 mp middle .005876 .009511
465 263.3855 mp middle .005876 .009512
467 262.3774 mp middle .005878 .009515
468 261.8747 mp middle .005879 .009516
470 260.8723 mp middle .005880