| Pisano Periods no. 6 |
|
|
|
|
|
|
|
|
|
|
| Casey
Mongoven |
|
|
|
|
|
| July
23, 2005 |
|
|
|
|
|
|
|
|
|
|
|
|
|
| PARAMETERS |
GRAPH |
|
SEQUENCE
VALUES |
|
|
|
|
|
|
|
|
|
|
| description
of sequence: gives length of period for Fibonacci |
|
| sequence
mod n |
|
|
|
|
|
| number
of members in sequence used: 610 |
|
| length:
26.84 seconds |
|
|
|
|
| note
value: .044 seconds |
|
|
|
|
| orientation:
descending |
|
|
|
|
| temperament:
φ^15 + 1 |
|
|
|
|
| waveform:
triangle 0° |
|
|
|
|
| pan:
mono |
|
|
|
|
|
|
| highest
pitch: 2098 Hertz |
|
|
|
|
| lowest
pitch: 586.5634859620 Hertz |
|
|
|
|
| dynamic
value: p |
|
|
|
|
|
| attack:
.005 seconds |
|
|
|
|
|
| release:
.008 seconds |
|
|
|
|
|
|
|
|
|
|
|
|
|
| # |
|
pitch in Hz |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
|
2098.0000000000 |
|
|
|
|
|
| 3 |
|
2094.9271349805 |
|
|
|
|
|
| 6 |
|
2090.3262742308 |
|
|
|
|
|
|
|
|
| 8 |
|
2087.2646486410 |
|
|
|
|
|
|
|
|
| 10 |
|
2084.2075073039 |
|
|
|
|
|
|
|
|
| 12 |
|
2081.1548436515 |
|
|
|
|
|
|
|
|
| 14 |
|
2078.1066511256 |
|
|
|
|
|
|
|
|
| 16 |
|
2075.0629231776 |
|
|
|
|
|
|
|
| 18 |
|
2072.0236532681 |
|
|
|
|
|
|
|
|
| 20 |
|
2068.9888348679 |
|
|
|
|
|
|
|
|
| 22 |
|
2065.9584614568 |
|
|
|
|
|
|
|
|
| 24 |
|
2062.9325265245 |
|
|
|
|
|
|
|
| 26 |
|
2059.9110235700 |
|
|
|
|
|
|
|
| 28 |
|
2056.8939461021 |
|
|
|
|
|
|
|
| 30 |
|
2053.8812876389 |
|
|
|
|
|
|
|
| 32 |
|
2050.8730417080 |
|
|
|
|
|
|
|
| 36 |
|
2044.8697616011 |
|
|
|
|
|
|
|
| 40 |
|
2038.8840541919 |
|
|
|
|
|
|
|
| 42 |
|
2035.8977741685 |
|
|
|
|
|
|
|
| 44 |
|
2032.9158680420 |
|
|
|
|
|
|
|
| 46 |
|
2029.9383294059 |
|
|
|
|
|
|
|
| 48 |
|
2026.9651518633 |
|
|
|
|
|
|
|
| 50 |
|
2023.9963290268 |
|
|
|
|
|
|
|
| 52 |
|
2021.0318545182 |
|
|
|
|
|
|
|
| 56 |
|
2015.1159250185 |
|
|
|
|
|
|
|
| 58 |
|
2012.1644573177 |
|
|
|
|
|
|
|
| 60 |
|
2009.2173125253 |
|
|
|
|
|
|
|
| 66 |
|
2000.4017523289 |
|
|
|
|
|
|
|
| 70 |
|
1994.5462109075 |
|
|
|
|
|
|
|
| 72 |
|
1991.6248709260 |
|
|
|
|
|
|
|
| 76 |
|
1985.7950210402 |
|
|
|
|
|
|
|
| 78 |
|
1982.8864986111 |
|
|
|
|
|
|
|
| 80 |
|
1979.9822361901 |
|
|
|
|
|
|
|
| 84 |
|
1974.1864664234 |
|
|
|
|
|
|
|
| 88 |
|
1968.4076619337 |
|
|
|
|
|
|
|
| 90 |
|
1965.5246061432 |
|
|
|
|
|
|
|
| 96 |
|
1956.9007502890 |
|
|
|
|
|
|
|
| 100 |
|
1951.1725442487 |
|
|
|
|
|
|
|
| 108 |
|
1939.7663856036 |
|
|
|
|
|
|
|
| 110 |
|
1936.9252796587 |
|
|
|
|
|
|
|
| 112 |
|
1934.0883349793 |
|
|
|
|
|
|
|
| 114 |
|
1931.2555454706 |
|
|
|
|
|
|
|
| 120 |
|
1922.7820471538 |
|
|
|
|
|
|
|
| 124 |
|
1917.1537127914 |
|
|
|
|
|
|
|
| 126 |
|
1914.3457268138 |
|
|
|
|
|
|
|
| 130 |
|
1908.7420871024 |
|
|
|
|
|
|
|
| 132 |
|
1905.9464213299 |
|
|
|
|
|
|
|
| 136 |
|
1900.3673679203 |
|
|
|
|
|
|
|
| 138 |
|
1897.5839682972 |
|
|
|
|
|
|
|
| 140 |
|
1894.8046454193 |
|
|
|
|
|
|
|
| 144 |
|
1889.2582060235 |
|
|
|
|
|
|
|
| 148 |
|
1883.7280020692 |
|
|
|
|
|
|
|
| 150 |
|
1880.9689735259 |
|
|
|
|
|
|
|
| 152 |
|
1878.2139860323 |
|
|
|
|
|
|
|
| 156 |
|
1872.7161105278 |
|
|
|
|
|
|
|
| 160 |
|
1867.2343283094 |
|
|
|
|
|
|
|
| 168 |
|
1856.3188554369 |
|
|
|
|
|
|
|
| 174 |
|
1848.1741462948 |
|
|
|
|
|
|
|
| 176 |
|
1845.4671922032 |
|
|
|
|
|
|
|
| 178 |
|
1842.7642028898 |
|
|
|
|
|
|
|
| 180 |
|
1840.0651725474 |
|
|
|
|
|
|
|
| 184 |
|
1834.6789655901 |
|
|
|
|
|
|
|
| 190 |
|
1826.6292027489 |
|
|
|
|
|
|
|
| 192 |
|
1823.9538047600 |
|
|
|
|
|
|
|
| 196 |
|
1818.6147587199 |
|
|
|
|
|
|
|
| 200 |
|
1813.2913410431 |
|
|
|
|
|
|
|
| 208 |
|
1802.6912079248 |
|
|
|
|
|
|
|
| 210 |
|
1800.0508710546 |
|
|
|
|
|
|
|
| 216 |
|
1792.1530410332 |
|
|
|
|
|
|
|
| 220 |
|
1786.9070816388 |
|
|
|
|
|
|
|
| 228 |
|
1776.4611855456 |
|
|
|
|
|
|
|
| 232 |
|
1771.2611590793 |
|
|
|
|
|
|
|
| 236 |
|
1766.0763540406 |
|
|
|
|
|
|
|
| 238 |
|
1763.4896456277 |
|
|
|
|
|
|
|
| 240 |
|
1760.9067258735 |
|
|
|
|
|
|
|
| 250 |
|
1748.0487630471 |
|
|
|
|
|
|
|
| 252 |
|
1745.4884589973 |
|
|
|
|
|
|
|
| 254 |
|
1742.9319049327 |
|
|
|
|
|
|
|
| 256 |
|
1740.3790953607 |
|
|
|
|
|
|
|
| 264 |
|
1730.2051924309 |
|
|
|
|
|
|
|
| 268 |
|
1725.1405657079 |
|
|
|
|
|
|
|
| 270 |
|
1722.6138144695 |
|
|
|
|
|
|
|
| 272 |
|
1720.0907640726 |
|
|
|
|
|
|
|
| 276 |
|
1715.0557441294 |
|
|
|
|
|
|
|
| 280 |
|
1710.0354626095 |
|
|
|
|
|
|
|
| 296 |
|
1690.1008598140 |
|
|
|
|
|
|
|
| 300 |
|
1685.1536257999 |
|
|
|
|
|
|
|
| 304 |
|
1680.2208732438 |
|
|
|
|
|
|
|
| 310 |
|
1672.8488044491 |
|
|
|
|
|
|
|
| 312 |
|
1670.3986430697 |
|
|
|
|
|
|
|
| 316 |
|
1665.5090810438 |
|
|
|
|
|
|
|
| 328 |
|
1650.9261033546 |
|
|
|
|
|
|
|
| 330 |
|
1648.5080513657 |
|
|
|
|
|
|
|
| 336 |
|
1641.2751244590 |
|
|
|
|
|
|
|
| 342 |
|
1634.0739324484 |
|
|
|
|
|
|
|
| 348 |
|
1626.9043360951 |
|
|
|
|
|
|
|
| 358 |
|
1615.0248451668 |
|
|
|
|
|
|
|
| 360 |
|
1612.6593764574 |
|
|
|
|
|
|
|
| 364 |
|
1607.9388278144 |
|
|
|
|
|
|
|
| 376 |
|
1593.8599276640 |
|
|
|
|
|
|
|
| 378 |
|
1591.5254584468 |
|
|
|
|
|
|
|
| 380 |
|
1589.1944084425 |
|
|
|
|
|
|
|
| 384 |
|
1584.5425460482 |
|
|
|
|
|
|
|
| 388 |
|
1579.9043005051 |
|
|
|
|
|
|
|
| 390 |
|
1577.5902715922 |
|
|
|
|
|
|
|
| 392 |
|
1575.2796319541 |
|
|
|
|
|
|
|
| 396 |
|
1570.6685006529 |
|
|
|
|
|
|
|
| 400 |
|
1566.0708669756 |
|
|
|
|
|
|
|
| 408 |
|
1556.9159345679 |
|
|
|
|
|
|
|
| 418 |
|
1545.5474918694 |
|
|
|
|
|
|
|
| 420 |
|
1543.2837841365 |
|
|
|
|
|
|
|
| 430 |
|
1532.0148820218 |
|
|
|
|
|
|
|
| 432 |
|
1529.7709950149 |
|
|
|
|
|
|
|
| 438 |
|
1523.0590339895 |
|
|
|
|
|
|
|
| 440 |
|
1520.8282642906 |
|
|
|
|
|
|
|
| 444 |
|
1516.3765220914 |
|
|
|
|
|
|
|
| 448 |
|
1511.9378109550 |
|
|
|
|
|
|
|
| 456 |
|
1503.0993294049 |
|
|
|
|
|
|
|
| 464 |
|
1494.3125158240 |
|
|
|
|
|
|
|
| 478 |
|
1479.0590106230 |
|
|
|
|
|
|
|
| 480 |
|
1476.8926861732 |
|
|
|
|
|
|
|
| 490 |
|
1466.1085651415 |
|
|
|
|
|
|
|
| 498 |
|
1457.5379920601 |
|
|
|
|
|
|
|
| 500 |
|
1455.4031886709 |
|
|
|
|
|
|
|
| 504 |
|
1451.1429576218 |
|
|
|
|
|
|
|
| 516 |
|
1438.4369414159 |
|
|
|
|
|
|
|
| 520 |
|
1434.2263736724 |
|
|
|
|
|
|
|
| 528 |
|
1425.8421774109 |
|
|
|
|
|
|
|
| 532 |
|
1421.6684768428 |
|
|
|
|
|
|
|
| 534 |
|
1419.5862102404 |
|
|
|
|
|
|
|
| 540 |
|
1413.3576914971 |
|
|
|
|
|
|
|
| 552 |
|
1400.9825180942 |
|
|
|
|
|
|
|
| 556 |
|
1396.8815862911 |
|
|
|
|
|
|
|
| 560 |
|
1392.7926586646 |
|
|
|
|
|
|
|
| 568 |
|
1384.6506754907 |
|
|
|
|
|
|
|
| 570 |
|
1382.6226275284 |
|
|
|
|
|
|
|
| 580 |
|
1372.5268569311 |
|
|
|
|
|
|
|
| 588 |
|
1364.5033435207 |
|
|
|
|
|
|
|
| 592 |
|
1360.5091929266 |
|
|
|
|
|
|
|
| 598 |
|
1354.5398781027 |
|
|
|
|
|
|
|
| 600 |
|
1352.5559323406 |
|
|
|
|
|
|
|
| 612 |
|
1340.7131311159 |
|
|
|
|
|
|
|
| 616 |
|
1336.7886188202 |
|
|
|
|
|
|
|
| 624 |
|
1328.9740238956 |
|
|
|
|
|
|
|
| 628 |
|
1325.0838741116 |
|
|
|
|
|
|
|
| 632 |
|
1321.2051115067 |
|
|
|
|
|
|
|
| 636 |
|
1317.3377027487 |
|
|
|
|
|
|
|
| 648 |
|
1305.8032676940 |
|
|
|
|
|
|
|
| 676 |
|
1279.2808130229 |
|
|
|
|
|
|
|
| 680 |
|
1275.5361243465 |
|
|
|
|
|
|
|
| 696 |
|
1260.6666631299 |
|
|
|
|
|
|
|
| 700 |
|
1256.9764614713 |
|
|
|
|
|
|
|
| 712 |
|
1245.9705414783 |
|
|
|
|
|
|
|
| 714 |
|
1244.1456133123 |
|
|
|
|
|
|
|
| 720 |
|
1238.6868505997 |
|
|
|
|
|
|
|
| 728 |
|
1231.4457386994 |
|
|
|
|
|
|
|
| 736 |
|
1224.2469568696 |
|
|
|
|
|
|
|
| 740 |
|
1220.6633623454 |
|
|
|
|
|
|
|
| 748 |
|
1213.5276120991 |
|
|
|
|
|
|
|
| 750 |
|
1211.7502019230 |
|
|
|
|
|
|
|
| 760 |
|
1202.9021244966 |
|
|
|
|
|
|
|
| 768 |
|
1195.8702028416 |
|
|
|
|
|
|
|
| 776 |
|
1188.8793883732 |
|
|
|
|
|
|
|
| 780 |
|
1185.3993211840 |
|
|
|
|
|
|
|
| 784 |
|
1181.9294407873 |
|
|
|
|
|
|
|
| 792 |
|
1175.0201211842 |
|
|
|
|
|
|
|
| 796 |
|
1171.5806226022 |
|
|
|
|
|
|
|
| 804 |
|
1164.7318000897 |
|
|
|
|
|
|
|
| 840 |
|
1134.4041877761 |
|
|
|
|
|
|
|
| 868 |
|
1111.3630571606 |
|
|
|
|
|
|
|
| 888 |
|
1095.1921912172 |
|
|
|
|
|
|
|
| 900 |
|
1085.6028329412 |
|
|
|
|
|
|
|
| 912 |
|
1076.0974378207 |
|
|
|
|
|
|
|
| 916 |
|
1072.9475040071 |
|
|
|
|
|
|
|
| 928 |
|
1063.5529172764 |
|
|
|
|
|
|
|
| 936 |
|
1057.3356028017 |
|
|
|
|
|
|
|
| 948 |
|
1048.0777118174 |
|
|
|
|
|
|
|
| 976 |
|
1026.7899770635 |
|
|
|
|
|
|
|
| 980 |
|
1023.7843751964 |
|
|
|
|
|
|
|
| 984 |
|
1020.7875712752 |
|
|
|
|
|
|
|
| 1000 |
|
1008.8878211139 |
|
|
|
|
|
|
|
| 1008 |
|
1002.9900676955 |
|
|
|
|
|
|
|
| 1040 |
|
979.7418151400 |
|
|
|
|
|
|
|
| 1048 |
|
974.0144433565 |
|
|
|
|
|
|
|
| 1080 |
|
951.4378152311 |
|
|
|
|
|
|
|
| 1092 |
|
943.1071512977 |
|
|
|
|
|
|
|
| 1096 |
|
940.3465043513 |
|
|
|
|
|
|
|
| 1104 |
|
934.8494295582 |
|
|
|
|
|
|
|
| 1140 |
|
910.5075586923 |
|
|
|
|
|
|
|
| 1156 |
|
899.8933890322 |
|
|
|
|
|
|
|
| 1164 |
|
894.6327949401 |
|
|
|
|
|
|
|
| 1176 |
|
886.7995082669 |
|
|
|
|
|
|
|
| 1188 |
|
879.0348088179 |
|
|
|
|
|
|
|
| 1200 |
|
871.3380960524 |
|
|
|
|
|
|
|
| 1216 |
|
861.1805412969 |
|
|
|
|
|
|
|
| 1320 |
|
797.9818181264 |
|
|
|
|
|
|
|
| 1344 |
|
784.0689486281 |
|
|
|
|
|
|
|
| 1500 |
|
699.3626532599 |
|
|
|
|
|
|
|
| 1668 |
|
618.3455619218 |
|
|
|
|
|
|
|
| 1680 |
|
612.9314097948 |
|
|
|
|
|
|
|
| 1704 |
|
602.2449072678 |
|
|
|
|
|
|
|
| 1740 |
|
586.5634859620 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|