| Complementary Beatty Sequences no. 14 | ||||||||||||||
| Casey Mongoven | ||||||||||||||
| October 8, 2005 | ||||||||||||||
| PARAMETERS | GRAPH | SEQUENCE VALUES | ||||||||||||
| description of sequences: spectrum sequences based on Ф and Ф + 1 | ||||||||||||||
| number of members in sequences used: sequence based on Ф : 144 ; | ||||||||||||||
| sequence based on Ф + 1 : 89 | ||||||||||||||
| length: 13.514 seconds | ||||||||||||||
| note value: .058 seconds | ||||||||||||||
| orientation: descending | ||||||||||||||
| temperament: φ^9 + 1 | ||||||||||||||
| waveform: triangle 0° → square 0° | ||||||||||||||
| spatial location: sequence based on Ф : -30° ; sequence based on Ф + 1 : 30° | ||||||||||||||
| highest pitch: 1555 Hertz | ||||||||||||||
| lowest pitch: 74.9656013797 Hertz | ||||||||||||||
| dynamic value: pp → fff | ||||||||||||||
| starting attack: .005 seconds | ||||||||||||||
| attack roll-off: .0000085 seconds | ||||||||||||||
| starting release: .008 seconds | ||||||||||||||
| release roll-off: .0000136 seconds | ||||||||||||||
| # | pitch in Hz | waveform | dynamic | attack | release | |||||||||
| 1 | 1555.0000000000 | triangle 0° | pp | .0050000 | .0080000 | |||||||||
| 2 | 1534.8086445422 | .0049915 | .0079864 | |||||||||||
| 3 | 1514.8794696858 | m | c | .0049830 | .0079728 | |||||||||
| 4 | 1495.2090710697 | o | r | .0049745 | .0079592 | |||||||||
| 5 | 1475.7940885374 | r | e | .0049660 | .0079456 | |||||||||
| 6 | 1456.6312055636 | p | s | .0049575 | .0079320 | |||||||||
| 7 | 1437.7171486874 | h | c | .0049490 | .0079184 | |||||||||
| 8 | 1419.0486869531 | e | .0049405 | .0079048 | ||||||||||
| 9 | 1400.6226313581 | ¦ | n | .0049320 | .0078912 | |||||||||
| 10 | 1382.4358343086 | ¦ | d | .0049235 | .0078776 | |||||||||
| 11 | 1364.4851890815 | ¦ | o | .0049150 | .0078640 | |||||||||
| 12 | 1346.7676292939 | ¦ | .0049065 | .0078504 | ||||||||||
| 13 | 1329.2801283794 | ¦ | ¦ | .0048980 | .0078368 | |||||||||
| 14 | 1312.0196990706 | ¦ | ¦ | .0048895 | .0078232 | |||||||||
| 15 | 1294.9833928895 | ¦ | ¦ | .0048810 | .0078096 | |||||||||
| 16 | 1278.1682996434 | ¦ | ¦ | .0048725 | .0077960 | |||||||||
| 17 | 1261.5715469276 | ¦ | ¦ | .0048640 | .0077824 | |||||||||
| 18 | 1245.1902996354 | ¦ | ¦ | .0048555 | .0077688 | |||||||||
| 19 | 1229.0217594730 | ¦ | ¦ | .0048470 | .0077552 | |||||||||
| 20 | 1213.0631644820 | ¦ | ¦ | .0048385 | .0077416 | |||||||||
| 21 | 1197.3117885677 | ¦ | ¦ | .0048300 | .0077280 | |||||||||
| 22 | 1181.7649410328 | ¦ | ¦ | .0048215 | .0077144 | |||||||||
| 23 | 1166.4199661183 | ¦ | ¦ | .0048130 | .0077008 | |||||||||
| 24 | 1151.2742425498 | ¦ | ¦ | .0048045 | .0076872 | |||||||||
| 25 | 1136.3251830896 | ¦ | ¦ | .0047960 | .0076736 | |||||||||
| 26 | 1121.5702340944 | ¦ | ¦ | .0047875 | .0076600 | |||||||||
| 27 | 1107.0068750800 | ¦ | ¦ | .0047790 | .0076464 | |||||||||
| 28 | 1092.6326182896 | ¦ | ¦ | .0047705 | .0076328 | |||||||||
| 29 | 1078.4450082699 | ¦ | ¦ | .0047620 | .0076192 | |||||||||
| 30 | 1064.4416214508 | ¦ | ¦ | .0047535 | .0076056 | |||||||||
| 31 | 1050.6200657320 | ¦ | ¦ | .0047450 | .0075920 | |||||||||
| 32 | 1036.9779800739 | ¦ | ¦ | .0047365 | .0075784 | |||||||||
| 33 | 1023.5130340948 | ¦ | ¦ | .0047280 | .0075648 | |||||||||
| 34 | 1010.2229276722 | ¦ | ¦ | .0047195 | .0075512 | |||||||||
| 35 | 997.1053905505 | ¦ | ¦ | .0047110 | .0075376 | |||||||||
| 36 | 984.1581819527 | ¦ | ¦ | .0047025 | .0075240 | |||||||||
| 37 | 971.3790901981 | ¦ | ¦ | .0046940 | .0075104 | |||||||||
| 38 | 958.7659323238 | ¦ | ¦ | .0046855 | .0074968 | |||||||||
| 39 | 946.3165537126 | ¦ | ¦ | .0046770 | .0074832 | |||||||||
| 40 | 934.0288277245 | ¦ | ¦ | .0046685 | .0074696 | |||||||||
| 41 | 921.9006553332 | ¦ | ¦ | .0046600 | .0074560 | |||||||||
| 42 | 909.9299647682 | ¦ | ¦ | .0046515 | .0074424 | |||||||||
| 43 | 898.1147111602 | ¦ | ¦ | .0046430 | .0074288 | |||||||||
| 44 | 886.4528761924 | ¦ | ¦ | .0046345 | .0074152 | |||||||||
| 45 | 874.9424677553 | ¦ | ¦ | .0046260 | .0074016 | |||||||||
| 46 | 863.5815196063 | ¦ | ¦ | .0046175 | .0073880 | |||||||||
| 47 | 852.3680910345 | ¦ | ¦ | .0046090 | .0073744 | |||||||||
| 48 | 841.3002665284 | ¦ | ¦ | .0046005 | .0073608 | |||||||||
| 49 | 830.3761554492 | ¦ | ¦ | .0045920 | .0073472 | |||||||||
| 50 | 819.5938917075 | ¦ | ¦ | .0045835 | .0073336 | |||||||||
| 51 | 808.9516334448 | ¦ | ¦ | .0045750 | .0073200 | |||||||||
| 52 | 798.4475627187 | ¦ | ¦ | .0045665 | .0073064 | |||||||||
| 53 | 788.0798851925 | ¦ | ¦ | .0045580 | .0072928 | |||||||||
| 54 | 777.8468298285 | ¦ | ¦ | .0045495 | .0072792 | |||||||||
| 55 | 767.7466485855 | ¦ | ¦ | .0045410 | .0072656 | |||||||||
| 56 | 757.7776161205 | ¦ | ¦ | .0045325 | .0072520 | |||||||||
| 57 | 747.9380294934 | ¦ | ¦ | .0045240 | .0072384 | |||||||||
| 58 | 738.2262078768 | ¦ | ¦ | .0045155 | .0072248 | |||||||||
| 59 | 728.6404922681 | ¦ | ¦ | .0045070 | .0072112 | |||||||||
| 60 | 719.1792452068 | ¦ | ¦ | .0044985 | .0071976 | |||||||||
| 61 | 709.8408504943 | ¦ | ¦ | .0044900 | .0071840 | |||||||||
| 62 | 700.6237129183 | ¦ | ¦ | .0044815 | .0071704 | |||||||||
| 63 | 691.5262579795 | ¦ | ¦ | .0044730 | .0071568 | |||||||||
| 64 | 682.5469316237 | ¦ | ¦ | .0044645 | .0071432 | |||||||||
| 65 | 673.6841999755 | ¦ | ¦ | .0044560 | .0071296 | |||||||||
| 66 | 664.9365490764 | ¦ | ¦ | .0044475 | .0071160 | |||||||||
| 67 | 656.3024846267 | ¦ | ¦ | .0044390 | .0071024 | |||||||||
| 68 | 647.7805317297 | ¦ | ¦ | .0044305 | .0070888 | |||||||||
| 69 | 639.3692346398 | ¦ | ¦ | .0044220 | .0070752 | |||||||||
| 70 | 631.0671565141 | ¦ | ¦ | .0044135 | .0070616 | |||||||||
| 71 | 622.8728791669 | ¦ | ¦ | .0044050 | .0070480 | |||||||||
| 72 | 614.7850028272 | ¦ | ¦ | .0043965 | .0070344 | |||||||||
| 73 | 606.8021458997 | ¦ | ¦ | .0043880 | .0070208 | |||||||||
| 74 | 598.9229447290 | ¦ | ¦ | .0043795 | .0070072 | |||||||||
| 75 | 591.1460533664 | ¦ | ¦ | .0043710 | .0069936 | |||||||||
| 76 | 583.4701433400 | ¦ | ¦ | .0043625 | .0069800 | |||||||||
| 77 | 575.8939034280 | ¦ | ¦ | .0043540 | .0069664 | |||||||||
| 78 | 568.4160394344 | ¦ | ¦ | .0043455 | .0069528 | |||||||||
| 79 | 561.0352739681 | ¦ | ¦ | .0043370 | .0069392 | |||||||||
| 80 | 553.7503462246 | ¦ | ¦ | .0043285 | .0069256 | |||||||||
| 81 | 546.5600117709 | ¦ | ¦ | .0043200 | .0069120 | |||||||||
| 82 | 539.4630423325 | ¦ | ¦ | .0043115 | .0068984 | |||||||||
| 83 | 532.4582255839 | ¦ | ¦ | .0043030 | .0068848 | |||||||||
| 84 | 525.5443649413 | ¦ | ¦ | .0042945 | .0068712 | |||||||||
| 85 | 518.7202793585 | ¦ | ¦ | .0042860 | .0068576 | |||||||||
| 86 | 511.9848031246 | ¦ | ¦ | .0042775 | .0068440 | |||||||||
| 87 | 505.3367856655 | ¦ | ¦ | .0042690 | .0068304 | |||||||||
| 88 | 498.7750913470 | ¦ | ¦ | .0042605 | .0068168 | |||||||||
| 89 | 492.2985992808 | ¦ | ¦ | .0042520 | .0068032 | |||||||||
| 90 | 485.9062031333 | ¦ | ¦ | .0042435 | .0067896 | |||||||||
| 91 | 479.5968109361 | ¦ | ¦ | .0042350 | .0067760 | |||||||||
| 92 | 473.3693449000 | ¦ | ¦ | .0042265 | .0067624 | |||||||||
| 93 | 467.2227412308 | ¦ | ¦ | .0042180 | .0067488 | |||||||||
| 94 | 461.1559499471 | ¦ | ¦ | .0042095 | .0067352 | |||||||||
| 95 | 455.1679347015 | ¦ | ¦ | .0042010 | .0067216 | |||||||||
| 96 | 449.2576726034 | ¦ | ¦ | .0041925 | .0067080 | |||||||||
| 97 | 443.4241540441 | ¦ | ¦ | .0041840 | .0066944 | |||||||||
| 98 | 437.6663825246 | ¦ | ¦ | .0041755 | .0066808 | |||||||||
| 99 | 431.9833744850 | ¦ | ¦ | .0041670 | .0066672 | |||||||||
| 100 | 426.3741591371 | ¦ | ¦ | .0041585 | .0066536 | |||||||||
| 101 | 420.8377782977 | ¦ | ¦ | .0041500 | .0066400 | |||||||||
| 102 | 415.3732862259 | ¦ | ¦ | .0041415 | .0066264 | |||||||||
| 103 | 409.9797494607 | ¦ | ¦ | .0041330 | .0066128 | |||||||||
| 104 | 404.6562466621 | ¦ | ¦ | .0041245 | .0065992 | |||||||||
| 105 | 399.4018684534 | ¦ | ¦ | .0041160 | .0065856 | |||||||||
| 106 | 394.2157172660 | ¦ | ¦ | .0041075 | .0065720 | |||||||||
| 107 | 389.0969071860 | ¦ | ¦ | .0040990 | .0065584 | |||||||||
| 108 | 384.0445638030 | ¦ | ¦ | .0040905 | .0065448 | |||||||||
| 109 | 379.0578240606 | ¦ | ¦ | .0040820 | .0065312 | |||||||||
| 110 | 374.1358361091 | ¦ | ¦ | .0040735 | .0065176 | |||||||||
| 111 | 369.2777591596 | ¦ | ¦ | .0040650 | .0065040 | |||||||||
| 112 | 364.4827633411 | ¦ | ¦ | .0040565 | .0064904 | |||||||||
| 113 | 359.7500295579 | ¦ | ¦ | .0040480 | .0064768 | |||||||||
| 114 | 355.0787493503 | ¦ | ¦ | .0040395 | .0064632 | |||||||||
| 115 | 350.4681247563 | ¦ | ¦ | .0040310 | .0064496 | |||||||||
| 116 | 345.9173681753 | ¦ | ¦ | .0040225 | .0064360 | |||||||||
| 117 | 341.4257022332 | ¦ | ¦ | .0040140 | .0064224 | |||||||||
| 118 | 336.9923596504 | ¦ | ¦ | .0040055 | .0064088 | |||||||||
| 119 | 332.6165831101 | ¦ | ¦ | .0039970 | .0063952 | |||||||||
| 120 | 328.2976251289 | ¦ | ¦ | .0039885 | .0063816 | |||||||||
| 121 | 324.0347479296 | ¦ | ¦ | .0039800 | .0063680 | |||||||||
| 122 | 319.8272233147 | ¦ | ¦ | .0039715 | .0063544 | |||||||||
| 123 | 315.6743325424 | ¦ | ¦ | .0039630 | .0063408 | |||||||||
| 124 | 311.5753662033 | ¦ | ¦ | .0039545 | .0063272 | |||||||||
| 125 | 307.5296240998 | ¦ | ¦ | .0039460 | .0063136 | |||||||||
| 126 | 303.5364151262 | ¦ | ¦ | .0039375 | .0063000 | |||||||||
| 127 | 299.5950571505 | ¦ | ¦ | .0039290 | .0062864 | |||||||||
| 128 | 295.7048768982 | ¦ | ¦ | .0039205 | .0062728 | |||||||||
| 129 | 291.8652098370 | ¦ | ¦ | .0039120 | .0062592 | |||||||||
| 130 | 288.0754000637 | ¦ | ¦ | .0039035 | .0062456 | |||||||||
| 131 | 284.3348001914 | ¦ | ¦ | .0038950 | .0062320 | |||||||||
| 132 | 280.6427712399 | ¦ | ¦ | .0038865 | .0062184 | |||||||||
| 133 | 276.9986825255 | ¦ | ¦ | .0038780 | .0062048 | |||||||||
| 134 | 273.4019115543 | ¦ | ¦ | .0038695 | .0061912 | |||||||||
| 135 | 269.8518439151 | ¦ | ¦ | .0038610 | .0061776 | |||||||||
| 136 | 266.3478731746 | ¦ | ¦ | .0038525 | .0061640 | |||||||||
| 137 | 262.8894007742 | ¦ | ¦ | .0038440 | .0061504 | |||||||||
| 138 | 259.4758359271 | ¦ | ¦ | .0038355 | .0061368 | |||||||||
| 139 | 256.1065955182 | ¦ | ¦ | .0038270 | .0061232 | |||||||||
| 140 | 252.7811040036 | ¦ | ¦ | .0038185 | .0061096 | |||||||||
| 141 | 249.4987933130 | ¦ | ¦ | .0038100 | .0060960 | |||||||||
| 142 | 246.2591027521 | ¦ | ¦ | .0038015 | .0060824 | |||||||||
| 143 | 243.0614789075 | ¦ | ¦ | .0037930 | .0060688 | |||||||||
| 144 | 239.9053755514 | ¦ | ¦ | .0037845 | .0060552 | |||||||||
| 145 | 236.7902535489 | ¦ | ¦ | .0037760 | .0060416 | |||||||||
| 146 | 233.7155807654 | ¦ | ¦ | .0037675 | .0060280 | |||||||||
| 147 | 230.6808319761 | ¦ | ¦ | .0037590 | .0060144 | |||||||||
| 148 | 227.6854887763 | ¦ | ¦ | .0037505 | .0060008 | |||||||||
| 149 | 224.7290394924 | ¦ | ¦ | .0037420 | .0059872 | |||||||||
| 150 | 221.8109790949 | ¦ | ¦ | .0037335 | .0059736 | |||||||||
| 151 | 218.9308091120 | ¦ | ¦ | .0037250 | .0059600 | |||||||||
| 152 | 216.0880375446 | ¦ | ¦ | .0037165 | .0059464 | |||||||||
| 153 | 213.2821787817 | ¦ | ¦ | .0037080 | .0059328 | |||||||||
| 154 | 210.5127535183 | ¦ | ¦ | .0036995 | .0059192 | |||||||||
| 155 | 207.7792886728 | ¦ | ¦ | .0036910 | .0059056 | |||||||||
| 156 | 205.0813173067 | ¦ | ¦ | .0036825 | .0058920 | |||||||||
| 157 | 202.4183785443 | ¦ | ¦ | .0036740 | .0058784 | |||||||||
| 158 | 199.7900174946 | ¦ | ¦ | .0036655 | .0058648 | |||||||||
| 159 | 197.1957851729 | ¦ | ¦ | .0036570 | .0058512 | |||||||||
| 160 | 194.6352384249 | ¦ | ¦ | .0036485 | .0058376 | |||||||||
| 161 | 192.1079398502 | ¦ | ¦ | .0036400 | .0058240 | |||||||||
| 162 | 189.6134577281 | ¦ | ¦ | .0036315 | .0058104 | |||||||||
| 163 | 187.1513659438 | ¦ | ¦ | .0036230 | .0057968 | |||||||||
| 164 | 184.7212439154 | ¦ | ¦ | .0036145 | .0057832 | |||||||||
| 165 | 182.3226765222 | ¦ | ¦ | .0036060 | .0057696 | |||||||||
| 166 | 179.9552540336 | ¦ | ¦ | .0035975 | .0057560 | |||||||||
| 167 | 177.6185720396 | ¦ | ¦ | .0035890 | .0057424 | |||||||||
| 168 | 175.3122313811 | ¦ | ¦ | .0035805 | .0057288 | |||||||||
| 169 | 173.0358380821 | ¦ | ¦ | .0035720 | .0057152 | |||||||||
| 170 | 170.7890032824 | ¦ | ¦ | .0035635 | .0057016 | |||||||||
| 171 | 168.5713431707 | ¦ | ¦ | .0035550 | .0056880 | |||||||||
| 172 | 166.3824789200 | ¦ | ¦ | .0035465 | .0056744 | |||||||||
| 173 | 164.2220366217 | ¦ | ¦ | .0035380 | .0056608 | |||||||||
| 174 | 162.0896472227 | ¦ | ¦ | .0035295 | .0056472 | |||||||||
| 175 | 159.9849464619 | ¦ | ¦ | .0035210 | .0056336 | |||||||||
| 176 | 157.9075748079 | ¦ | ¦ | .0035125 | .0056200 | |||||||||
| 177 | 155.8571773980 | ¦ | ¦ | .0035040 | .0056064 | |||||||||
| 178 | 153.8334039771 | ¦ | ¦ | .0034955 | .0055928 | |||||||||
| 179 | 151.8359088382 | ¦ | ¦ | .0034870 | .0055792 | |||||||||
| 180 | 149.8643507632 | ¦ | ¦ | .0034785 | .0055656 | |||||||||
| 181 | 147.9183929647 | ¦ | ¦ | .0034700 | .0055520 | |||||||||
| 182 | 145.9977030283 | ¦ | ¦ | .0034615 | .0055384 | |||||||||
| 183 | 144.1019528560 | ¦ | ¦ | .0034530 | .0055248 | |||||||||
| 184 | 142.2308186102 | ¦ | ¦ | .0034445 | .0055112 | |||||||||
| 185 | 140.3839806580 | ¦ | ¦ | .0034360 | .0054976 | |||||||||
| 186 | 138.5611235171 | ¦ | ¦ | .0034275 | .0054840 | |||||||||
| 187 | 136.7619358017 | ¦ | ¦ | .0034190 | .0054704 | |||||||||
| 188 | 134.9861101690 | ¦ | ¦ | .0034105 | .0054568 | |||||||||
| 189 | 133.2333432672 | ¦ | ¦ | .0034020 | .0054432 | |||||||||
| 190 | 131.5033356834 | ¦ | ¦ | .0033935 | .0054296 | |||||||||
| 191 | 129.7957918926 | ¦ | ¦ | .0033850 | .0054160 | |||||||||
| 192 | 128.1104202071 | ¦ | ¦ | .0033765 | .0054024 | |||||||||
| 193 | 126.4469327265 | ¦ | ¦ | .0033680 | .0053888 | |||||||||
| 194 | 124.8050452891 | ¦ | ¦ | .0033595 | .0053752 | |||||||||