Collection VIIIFibonacci Transform B no. 20Casey MongovenJuly 21, 2008 |
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| Parameters Sequence Values & Graph |
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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: 233 number of channels: 2 piece length: 12.349 seconds note value: .053 seconds orientation: descending temperament: phi^11 + 1 lowest frequency: 189.8874322 Hz highest frequency: 1244 Hz number of unique frequencies: 145 synthesis technique: wavetable wave source: Manuel Contreras guitar, harmonic dynamic: mp to f simulated spatial location: left to right delay: -.001 to .001 attack: .0063 to .0055 (roll-off .0000021) release: .0102 to .0089 (roll-off .0000035) synthesis language used: Csound |
| integer | frequency | dynamic | s.s.l. | attack | release | ||||||
| 1 | 1244.000 | mp | left | .006300 | .010200 | ||||||
| 2 | 1237.780 | .006297 | .010196 | ||||||||
| 4 | 1225.434 | .006293 | .010189 | ||||||||
| 6 | 1213.210 | .006289 | .010182 | ||||||||
| 7 | 1207.144 | .006287 | .010179 | ||||||||
| 9 | 1195.103 | .006282 | .010172 | ||||||||
| 11 | 1183.182 | .006278 | .010165 | ||||||||
| 12 | 1177.267 | .006276 | .010161 | ||||||||
| 14 | 1165.524 | .006272 | .010154 | ||||||||
| 15 | 1159.696 | .006270 | .010151 | ||||||||
| 17 | 1148.129 | .006265 | .010144 | ||||||||
| 19 | 1136.676 | .006261 | .010137 | ||||||||
| 20 | 1130.993 | .006259 | .010134 | ||||||||
| 22 | 1119.712 | .006255 | .010127 | ||||||||
| 23 | 1114.113 | .006253 | .010123 | ||||||||
| 25 | 1103.000 | .006248 | .010116 | ||||||||
| 27 | 1091.998 | .006244 | .010109 | ||||||||
| 28 | 1086.538 | .006242 | .010106 | ||||||||
| 30 | 1075.700 | .006238 | .010099 | ||||||||
| 32 | 1064.971 | .006233 | .010092 | ||||||||
| 33 | 1059.646 | .006231 | .010089 | ||||||||
| 35 | 1049.076 | .006227 | .010082 | ||||||||
| 36 | 1043.831 | .006225 | .010078 | ||||||||
| 38 | 1033.419 | .006221 | .010071 | ||||||||
| 40 | 1023.111 | .006216 | .010064 | ||||||||
| 41 | 1017.995 | .006214 | .010061 | ||||||||
| 43 | 1007.841 | .006210 | .010054 | ||||||||
| 44 | 1002.802 | .006208 | .010050 | ||||||||
| 46 | 992.7993 | .006204 | .010044 | ||||||||
| 48 | 982.8964 | .006199 | .010037 | ||||||||
| 49 | 977.9821 | .006197 | .010033 | ||||||||
| 51 | 968.2269 | .006193 | .010026 | ||||||||
| 53 | 958.5691 | .006189 | .010019 | ||||||||
| 54 | 953.7764 | .006186 | .010016 | ||||||||
| 56 | 944.2627 | .006182 | .010009 | ||||||||
| 57 | 939.5415 | .006180 | .010005 | ||||||||
| 59 | 930.1698 | .006176 | .009998 | ||||||||
| 61 | 920.8916 | .006172 | .009992 | ||||||||
| 62 | 916.2873 | .006169 | .009988 | ||||||||
| 64 | 907.1475 | .006165 | .009981 | ||||||||
| 66 | 898.0990 | .006161 | .009974 | ||||||||
| 67 | 893.6086 | .006159 | .009971 | ||||||||
| 69 | 884.6951 | .006154 | .009964 | ||||||||
| 70 | 880.2717 | .006152 | .009960 | ||||||||
| 72 | 871.4912 | .006148 | .009953 | ||||||||
| 74 | 862.7983 | .006144 | .009946 | ||||||||
| 75 | 858.4844 | .006142 | .009943 | ||||||||
| 77 | 849.9212 | .006137 | .009936 | ||||||||
| 78 | 845.6717 | .006135 | .009933 | ||||||||
| 80 | 837.2364 | .006131 | .009926 | ||||||||
| 82 | 828.8852 | .006127 | .009919 | ||||||||
| 83 | 824.7408 | .006125 | .009915 | ||||||||
| 85 | 816.5143 | .006120 | .009908 | ||||||||
| 87 | 808.3697 | .006116 | .009901 | ||||||||
| 88 | 804.3280 | .006114 | .009898 | ||||||||
| 90 | 796.3050 | .006110 | .009891 | ||||||||
| 91 | 792.3236 | .006108 | .009888 | ||||||||
| 93 | 784.4204 | .006103 | .009881 | ||||||||
| 95 | 776.5960 | .006099 | .009874 | ||||||||
| 96 | 772.7131 | .006097 | .009870 | ||||||||
| 98 | 765.0055 | .006093 | .009863 | ||||||||
| 100 | 757.3747 | .006088 | .009856 | ||||||||
| 101 | 753.5879 | .006086 | .009853 | ||||||||
| 103 | 746.0711 | .006082 | .009846 | ||||||||
| 104 | 742.3408 | .006080 | .009842 | ||||||||
| 106 | 734.9362 | .006076 | .009836 | ||||||||
| 108 | 727.6054 | .006071 | .009829 | ||||||||
| 109 | 723.9674 | .006069 | .009825 | ||||||||
| 111 | 716.7460 | .006065 | .009818 | ||||||||
| 112 | 713.1624 | .006063 | .009815 | ||||||||
| 114 | 706.0488 | .006058 | .009808 | ||||||||
| 116 | 699.0061 | .006054 | .009801 | ||||||||
| 117 | 695.5112 | .006052 | .009797 | ||||||||
| 119 | 688.5736 | .006048 | .009790 | ||||||||
| 121 | 681.7053 | .006044 | .009784 | ||||||||
| 122 | 678.2968 | .006041 | .009780 | ||||||||
| 124 | 671.5310 | .006037 | .009773 | ||||||||
| 125 | 668.1734 | .006035 | .009770 | ||||||||
| 127 | 661.5086 | .006031 | .009763 | ||||||||
| 129 | 654.9102 | .006026 | .009756 | ||||||||
| 130 | 651.6357 | .006024 | .009752 | ||||||||
| 132 | 645.1358 | .006020 | .009745 | ||||||||
| 133 | 641.9102 | .006018 | .009742 | ||||||||
| 135 | 635.5073 | .006014 | .009735 | ||||||||
| 137 | 629.1683 | .006009 | .009728 | ||||||||
| 138 | 626.0225 | .006007 | .009725 | ||||||||
| 140 | 619.7781 | .006003 | .009718 | ||||||||
| 142 | 613.5960 | .005999 | .009711 | ||||||||
| 143 | 610.5281 | .005997 | .009707 | ||||||||
| 145 | 604.4382 | .005992 | .009700 | ||||||||
| 146 | 601.4161 | .005990 | .009697 | ||||||||
| 148 | 595.4171 | .005986 | .009690 | ||||||||
| 150 | 589.4780 | .005982 | .009683 | ||||||||
| 151 | 586.5307 | .005980 | .009680 | ||||||||
| 153 | 580.6802 | .005975 | .009673 | ||||||||
| 155 | 574.8880 | .005971 | .009666 | ||||||||
| 156 | 572.0137 | .005969 | .009662 | ||||||||
| 158 | 566.3080 | .005965 | .009655 | ||||||||
| 159 | 563.4765 | .005962 | .009652 | ||||||||
| 161 | 557.8560 | .005958 | .009645 | ||||||||
| 163 | 552.2915 | .005954 | .009638 | ||||||||
| 164 | 549.5301 | .005952 | .009634 | ||||||||
| 166 | 544.0487 | .005948 | .009628 | ||||||||
| 167 | 541.3285 | .005945 | .009624 | ||||||||
| 169 | 535.9289 | .005941 | .009617 | ||||||||
| 171 | 530.5831 | .005937 | .009610 | ||||||||
| 172 | 527.9303 | .005935 | .009607 | ||||||||
| 174 | 522.6643 | .005930 | .009600 | ||||||||
| 176 | 517.4509 | .005926 | .009593 | ||||||||
| 177 | 514.8637 | .005924 | .009589 | ||||||||
| 179 | 509.7280 | .005920 | .009582 | ||||||||
| 180 | 507.1795 | .005918 | .009579 | ||||||||
| 182 | 502.1205 | .005913 | .009572 | ||||||||
| 184 | 497.1119 | .005909 | .009565 | ||||||||
| 185 | 494.6264 | .005907 | .009562 | ||||||||
| 187 | 489.6927 | .005903 | .009555 | ||||||||
| 189 | 484.8081 | .005898 | .009548 | ||||||||
| 190 | 482.3841 | .005896 | .009544 | ||||||||
| 192 | 477.5725 | .005892 | .009537 | ||||||||
| 193 | 475.1847 | .005890 | .009534 | ||||||||
| 195 | 470.4448 | .005886 | .009527 | ||||||||
| 197 | 465.7522 | .005881 | .009520 | ||||||||
| 198 | 463.4235 | .005879 | .009517 | ||||||||
| 200 | 458.8010 | .005875 | .009510 | ||||||||
| 201 | 456.5071 | .005873 | .009506 | ||||||||
| 203 | 451.9535 | .005869 | .009499 | ||||||||
| 205 | 447.4454 | .005864 | .009492 | ||||||||
| 206 | 445.2082 | .005862 | .009489 | ||||||||
| 208 | 440.7674 | .005858 | .009482 | ||||||||
| 210 | 436.3708 | .005854 | .009475 | ||||||||
| 211 | 434.1890 | .005852 | .009472 | ||||||||
| 213 | 429.8581 | .005847 | .009465 | ||||||||
| 214 | 427.7089 | .005845 | .009461 | ||||||||
| 216 | 423.4426 | .005841 | .009454 | ||||||||
| 218 | 419.2188 | .005837 | .009447 | ||||||||
| 219 | 417.1228 | .005834 | .009444 | ||||||||
| 221 | 412.9621 | .005830 | .009437 | ||||||||
| 222 | 410.8974 | .005828 | .009433 | ||||||||
| 224 | 406.7988 | .005824 | .009426 | ||||||||
| 226 | 402.7410 | .005820 | .009420 | ||||||||
| 227 | 400.7274 | .005817 | .009416 | ||||||||
| 229 | 396.7302 | .005813 | .009409 | ||||||||
| 231 | 392.7729 | .005809 | .009402 | ||||||||
| 232 | 390.8091 | .005807 | .009399 | ||||||||
| 376 | 189.8874 | f | right | .005500 | .008900 | ||||||