Xenharmonic Wiki

5L 3s

Revision as of 11:30, 29 December 2016 by Wikispaces>xenwolf (**Imported revision 602894250 - Original comment: removed tel links**)

IMPORTED REVISION FROM WIKISPACES

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This revision was by author xenwolf and made on 2016-12-29 11:30:16 UTC.
The original revision id was 602894250.
The revision comment was: removed tel links

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Original Wikitext content:

5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
||||||||||~ generator ||~ <span style="display: block; text-align: center;">tetrachord</span> ||~ <span style="display: block; text-align: center;">g in cents</span> ||~ <span style="display: block; text-align: center;">2g</span> ||~ <span style="display: block; text-align: center;">3g</span> ||~ <span style="display: block; text-align: center;">4g</span> ||~ <span style="display: block; text-align: center;">Comments</span> ||
|| 2\5 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">1 0 1</span> ||= 480.000 ||= 960.000 ||= 240.00 ||= <span style="line-height: 15.6000003814697px;">720.000</span> ||=   ||
|| 21\53 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">10 1 10</span> ||= 475.472 ||= 950.943 ||= 226.415 ||= 701.887 ||= <span style="display: block; text-align: center;">Vulture/Buzzard is around here</span> ||
|| 19\48 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">9 1 9</span> ||= 475 ||= 950 ||= 225 ||= 700 ||=   ||
|| 17\43 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">8 1 8</span> ||= 474.419 ||= 948.837 ||= 223.256 ||= 697.674 ||=   ||
|| 15\38 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">7 1 7</span> ||= 473.684 ||= 947.368 ||= 221.053 ||= 694.737 ||=   ||
|| 13\33 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">6 1 6</span> ||= 472.727 ||= 945.455 ||= 218.181 ||= 690.909 ||=   ||
|| 11\28 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">5 1 5</span> ||= 471.429 ||= 942.857 ||= 214.286 ||= 685.714 ||=   ||
|| 9\23 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">4 1 4</span> ||= 469.565 ||= 939.130 ||= 208.696 ||= 678.261 ||= <span style="display: block; text-align: center;">L/s = 4</span> ||
||   ||   ||   ||   ||   ||= pi 1 pi ||= 467.171 ||= 934.3425 ||= 201.514 ||= 668.685 ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
|| 7\18 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">3 1 3</span> ||= 466.667 ||= 933.333 ||= 200.000 ||= 666.667 ||= <span style="display: block; text-align: center;">L/s = 3</span> ||
||   ||   ||   ||   ||   ||= e 1 e ||= 465.535 ||= 931.069 ||= 196.604 ||= 662.139 ||= <span style="display: block; text-align: center;">L/s = e</span> ||
||   || 19\49 ||   ||   ||   ||= 8 3 8 ||= 465.306 ||= 930.612 ||= 195.918 ||= 661.2245 ||   ||
||   ||   || 50\129 ||   ||   ||= 21 8 21 ||= 465.116 ||= 930.233 ||= 195.349 ||= 660.465 ||   ||
||   ||   ||   || 131\338 ||   ||= 55 21 55 ||= 465.089 ||= 930.1775 ||= 195.266 ||= 660.335 ||   ||
||   ||   ||   ||   || 212\547 ||= 89 34 89 ||= 465.082 ||= 930.1645 ||= 195.247 ||= 660.329 ||   ||
||   ||   ||   || 81\209 ||   ||= 34 13 34 ||= 465.072 ||= 930.1435 ||= 195.215 ||= 660.287 ||   ||
||   ||   || 31\80 ||   ||   ||= 13 5 13 ||= 465 ||= 930 ||= 195 ||= 660 ||   ||
||   || 12\31 ||   ||   ||   ||= <span style="display: block; text-align: center;">5 2 5</span> ||= 464.516 ||= 929.032 ||= 193.549 ||= 658.065 ||=   ||
|| 5\13 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">2 1 2</span> ||= 461.538 ||= 923.077 ||= 184.615 ||= 646.154 ||=   ||
||   ||   ||   ||   ||   ||= <span style="background-color: #ffffff;">√3 1 √3</span> ||= 459.417 ||= 918.8345 ||= 178.252 ||= 637.669 ||   ||
||   || 13\34 ||   ||   ||   ||= <span style="display: block; text-align: center;">5 3 5</span> ||= 458.824 ||= 917.647 ||= 176.471 ||= 635.294 ||=   ||
||   ||   || 34\89 ||   ||   ||= <span style="display: block; text-align: center;">13 8 13</span> ||= 458.427 ||= 916.854 ||= 175.281 ||= 633.708 ||=   ||
||   ||   ||   || 89\233 ||   ||= <span style="display: block; text-align: center;">34 21 34</span> ||= <span style="line-height: 15.6000003814697px;">458.369</span> ||= <span style="display: block; text-align: center;">916.738</span> ||= 175.107 ||= <span style="line-height: 15.6000003814697px;">633.473</span> ||=   ||
||   ||   ||   ||   || 233\610 ||= <span style="display: block; text-align: center;">89 55 89</span> ||= 458.361 ||= 916.721 ||= 175.082 ||= 633.443 ||= <span style="display: block; text-align: center;">Golden father</span> ||
||   ||   ||   || 144\377 ||   ||= <span style="display: block; text-align: center;">55 34 55</span> ||= 458.355 ||= 916.711 ||= 175.066 ||= 633.422 ||=   ||
||   ||   || 55\144 ||   ||   ||= <span style="display: block; text-align: center;">21 13 21</span> ||= 458.333 ||= 916.666 ||= 175 ||= 633.333 ||=   ||
||   || 21\55 ||   ||   ||   ||= <span style="display: block; text-align: center;">8 5 8</span> ||= 458.182 ||= 916.364 ||= 174.545 ||= 632.727 ||=   ||
||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">pi 2 pi</span> ||= 457.883 ||= 915.777 ||= 173.665 ||= 631.553 ||   ||
|| 8\21 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">3 2 3</span> ||= 457.143 ||= 914.286 ||= 171.429 ||= 628.571 ||= <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span> ||
|| 11\29 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">4 3 4</span> ||= 455.172 ||= 910.345 ||= 165.517 ||= 620.690 ||=   ||
|| 14\37 ||   ||   ||   ||   ||= 5 4 5 ||= 454.054 ||= 908.108 ||= 162.162 ||= 616.216 ||   ||
|| 17\45 ||   ||   ||   ||   ||= 6 5 6 ||= 453.333 ||= 906.667 ||= 160 ||= 613.333 ||   ||
|| 20\53 ||   ||   ||   ||   ||= 7 6 7 ||= 452.83 ||= 905.66 ||= 158.491 ||= 611.321 ||   ||
|| 23\61 ||   ||   ||   ||   ||= 8 7 8 ||= 452.459 ||= 904.918 ||= 157.377 ||= 609.836 ||   ||
|| 26\69 ||   ||   ||   ||   ||= 9 8 9 ||= 452.174 ||= 904.348 ||= 156.522 ||= 608.696 ||   ||
|| 29\77 ||   ||   ||   ||   ||= 10 9 10 ||= 451.948 ||= 903.896 ||= 155.844 ||= 607.792 ||   ||
|| 3\8 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">1 1 1</span> ||= 450.000 ||= 900.000 ||= 150.000 ||= 600.000 ||=   ||
The only notable harmonic entropy minimum is Vulture/[[Hemifamity temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.

By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.

||||||||||~ generator ||~ tetrachord ||~ g in cents ||~ 2g ||~ 3g ||~ 4g ||~ Comments ||
||= 2\5 ||=   ||=   ||=   ||=   ||= 1 0 1 ||= 760.782 ||= 1521.564 ||= 380.391 ||= 1141.173 ||=   ||
||= 27\68 ||=   ||=   ||=   ||=   ||= 13 1 13 ||= 755.188 ||= 1510.376 ||= 363.609 ||= 1118.797 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= ~6626 515 6626 ||= 755.132 ||= 1510.265 ||= 363.442 ||= 1118.574 ||= <span style="display: block; text-align: center;">2g=12/5 minus quarter comma</span> ||
||= 25\63 ||=   ||=   ||=   ||=   ||= 12 1 12 ||= 754.744 ||= 1509.488 ||= 362.277 ||= 1117.021 ||=   ||
||= 23\58 ||=   ||=   ||=   ||=   ||= 11 1 11 ||= 754.2235 ||= 1508.447 ||= 360.716 ||= 1114.939 ||=   ||
||= 21\53 ||=   ||=   ||=   ||=   ||= 10 1 10 ||= 753.605 ||= 1507.21 ||= 358.859 ||= 1112.464 ||=   ||
||= 19\48 ||=   ||=   ||=   ||=   ||= 9 1 9 ||= 752.857 ||= 1505.714 ||= 356.617 ||= 1109.474 ||=   ||
||= 17\43 ||=   ||=   ||=   ||=   ||= 8 1 8 ||= 751.936 ||= 1503.871 ||= 353.852 ||= 1105.788 ||=   ||
||= 15\38 ||=   ||=   ||=   ||=   ||= 7 1 7 ||= 750.771 ||= 1501.543 ||= 350.36 ||= 1101.132 ||=   ||
||=   ||= 28/71 ||=   ||=   ||=   ||= 13 2 13 ||= 750.067 ||= 1500.1335 ||= 348.245 ||= 1098.312 ||=   ||
||=   ||= 41\104 ||=   ||=   ||=   ||= 19 3 19 ||= 749.809 ||= 1466.618 ||= 347.4725 ||= 1097.282 ||= 3g=11/3 near here ||
||= 13\33 ||=   ||=   ||=   ||=   ||= 6 1 6 ||= 749.255 ||= 1498.51 ||= 345.81 ||= 1095.065 ||=   ||
||=   ||= 24\61 ||=   ||=   ||=   ||= 11 2 11 ||= 748.31 ||= 1496.62 ||= 342.976 ||= 1091.286 ||=   ||
||=   ||= 35\89 ||=   ||=   ||=   ||= 16 3 16 ||= 747.96 ||= 1495.92 ||= 341.924 ||= 1089.884 ||=   ||
||=   ||= 46\117 ||=   ||=   ||=   ||= 21 4 21 ||= 747.777 ||= 1495.554 ||= 341.377 ||= 1089.154 ||=   ||
||=   ||= 57\145 ||=   ||=   ||=   ||= 26 5 26 ||= 747.665 ||= 1495.33 ||= 341.04 ||= 1088.705 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 5+<span style="background-color: #ffffff;">√29 2 5+√29</span> ||= 747.648 ||= 1495.297 ||= 340.99 ||= 1088.638 ||=   ||
||=   ||= 68\173 ||=   ||=   ||=   ||= 31 6 31 ||= 747.589 ||= 1495.178 ||= 340.813 ||= 1088.402 ||=   ||
||=   ||=   ||= 147\374 ||=   ||=   ||= 67 13 67 ||= 747.56 ||= 1495.12 ||= 340.725 ||= 1088.285 ||= 4g=45/8 near here ||
||=   ||= 79\201 ||=   ||=   ||=   ||= 36 7 36 ||= 747.535 ||= 1495.069 ||= 340.649 ||= 1088.183 ||=   ||
||= 11\28 ||=   ||=   ||=   ||=   ||= 5 1 5 ||= 747.197 ||= 1494.393 ||= 339.635 ||= 1086.831 ||=   ||
||=   ||= 20\51 ||=   ||=   ||=   ||= 9 2 9 ||= 745.865 ||= 1491.729 ||= 335.639 ||= 1081.50 ||=   ||
||=   ||= 29\74 ||=   ||=   ||=   ||= 13 3 13 ||= 745.361 ||= 1490.721 ||= 334.127 ||= 1079.488 ||=   ||
||=   ||= 38/97 ||=   ||=   ||=   ||= 17 4 17 ||= 745.096 ||= 1490.192 ||= 333.332 ||= 1078.428 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 2+<span style="background-color: #ffffff;">√5 1 </span>2+<span style="background-color: #ffffff;">√5</span> ||= 754.051 ||= 1490.101 ||= 333.197 ||= 1078.247 ||=   ||
||=   ||= 47\120 ||=   ||=   ||=   ||= 21 5 21 ||= 744.932 ||= 1489.865 ||= 332.842 ||= 1077.7745 ||=   ||
||= 9\23 ||=   ||=   ||=   ||=   ||= 4 1 4 ||= 744.243 ||= 1488.487 ||= 330.775 ||= 1075.018 ||= L/s = 4 ||
||=   ||= 43\110 ||=   ||=   ||=   ||= 19 5 19 ||= 743.4915 ||= 1486.983 ||= 328.5195 ||= 1072.011 ||=   ||
||=   ||=   ||= 77\197 ||=   ||=   ||= 34 9 34 ||= 743.404 ||= 1486.807 ||= 328.256 ||= 1071.66 ||= 4g=39/7 near here ||
||=   ||= 34\87 ||=   ||=   ||=   ||= 15 4 15 ||= 743.293 ||= 1486.586 ||= 327.923 ||= 1071.216 ||=   ||
||=   ||= 25\64 ||=   ||=   ||=   ||= 11 3 11 ||= 742.951 ||= 1485.902 ||= 326.899 ||= 1069.85 ||=   ||
||=   ||= 16\41 ||=   ||=   ||=   ||= 7 2 7 ||= 742.226 ||= 1484.453 ||= 324.724 ||= 1066.95 ||=   ||
||=   ||= 23\59 ||=   ||=   ||=   ||= 10 3 10 ||= 741.44 ||= 1482.88 ||= 322.365 ||= 1063.805 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 3+<span style="background-color: #ffffff;">√13 2 3+√13</span> ||= 741.289 ||= 1482.577 ||= 321.911 ||= 1063.20 ||=   ||
||=   ||= 30\77 ||=   ||=   ||=   ||= 13 4 13 ||= 741.021 ||= 1482.043 ||= 321.109 ||= 1062.131 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= pi 1 pi ||= 740.449 ||= 1480.898 ||= 319.392 ||= 1056.841 ||= L/s = pi ||
||= 7\18 ||=   ||=   ||=   ||=   ||= 3 1 3 ||= 739.649 ||= 1479.298 ||= 316.992 ||= 1056.642 ||= L/s = 3 ||
||=   ||= 89\229 ||=   ||=   ||=   ||= 38 13 38 ||= 739.188 ||= 1478.376 ||= 315.608 ||= 1054.796 ||= 3g=18/5 near here ||
||=   ||= 82\211 ||=   ||=   ||=   ||= 35 12 35 ||= 739.148 ||= 1478.297 ||= 315.49 ||= 1054.639 ||=   ||
||=   ||= 75\193 ||=   ||=   ||=   ||= 32 11 32 ||= 739.102 ||= 1478.203 ||= 315.35 ||= 1054.452 ||=   ||
||=   ||= 68\175 ||=   ||=   ||=   ||= 29 10 29 ||= 739.045 ||= 1478.091 ||= 315.181 ||= 1054.227 ||=   ||
||=   ||= 61/157 ||=   ||=   ||=   ||= 26 9 26 ||= 738.976 ||= 1477.952 ||= 314.973 ||= 1053.949 ||=   ||
||=   ||= 54\139 ||=   ||=   ||=   ||= 23 8 23 ||= 738.889 ||= 1477.778 ||= 314.712 ||= 1053.601 ||=   ||
||=   ||= 47\121 ||=   ||=   ||=   ||= 20 7 20 ||= 738.776 ||= 1477.552 ||= 314.373 ||= 1053.149 ||=   ||
||=   ||= 40\103 ||=   ||=   ||=   ||= 17 6 17 ||= 738.623 ||= 1477.247 ||= 313.915 ||= 1052.538 ||=   ||
||=   ||= 33\85 ||=   ||=   ||=   ||= 14 5 14 ||= 738.406 ||= 1476.812 ||= 313.263 ||= 1051.669 ||=   ||
||=   ||= 26\67 ||=   ||=   ||=   ||= 11 4 11 ||= 738.072 ||= 1476.144 ||= 312.261 ||= 1050.333 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= e 1 e ||= 737.855 ||= 1478.71 ||= 311.61 ||= 1049.465 ||= L/s = e ||
||=   ||= 19\49 ||=   ||=   ||=   ||= 8 3 8 ||= 737.493 ||= 1474.986 ||= 310.523 ||= 1048.016 ||=   ||
||=   ||=   ||=   ||= 164\423 ||=   ||= 69 26 69 ||= 737.401 ||= 1474.802 ||= 310.248 ||= 1047.649 ||= 3g=18/5 minus quarter comma near here ||
||=   ||=   ||=   ||= 145\374 ||=   ||= 61 23 61 ||= 737.389 ||= 1474.778 ||= 310.212 ||= 1047.601 ||=   ||
||=   ||=   ||=   ||= 126\325 ||=   ||= 53 20 53 ||= 737.373 ||= 1474.747 ||= 310.165 ||= 1047.538 ||=   ||
||=   ||=   ||=   ||= 107\276 ||=   ||= 45 17 45 ||= 737.352 ||= 1474.704 ||= 310.101 ||= 1047.453 ||=   ||
||=   ||=   ||=   ||= 88\227 ||=   ||= 37 14 37 ||= 737.322 ||= 1474.644 ||= 310.01 ||= 1047.332 ||=   ||
||=   ||=   ||=   ||= 69\178 ||=   ||= 29 11 29 ||= 737.275 ||= 1474.549 ||= 309.869 ||= 1047.144 ||=   ||
||=   ||=   ||= 50\129 ||=   ||=   ||= 21 8 21 ||= 737.192 ||= 1474.384 ||= 309.621 ||= 1046.812 ||=   ||
||=   ||=   ||=   ||= 131\338 ||=   ||= 55 21 55 ||= 737.148 ||= 1474.296 ||= 309.49 ||= 1046.638 ||=   ||
||=   ||=   ||=   ||=   ||= 212\547 ||= 89 34 89 ||= 737.138 ||= 1474.276 ||= 309.459 ||= 1046.597 ||=   ||
||=   ||=   ||=   ||= 81\209 ||=   ||= 34 13 34 ||= 737.121 ||= 1474.243 ||= 309.409 ||= 1046.53 ||=   ||
||=   ||=   ||= 31\80 ||=   ||=   ||= 13 5 13 ||= 737.008 ||= 1474.015 ||= 309.068 ||= 1046.075 ||=   ||
||=   ||= 12\31 ||=   ||=   ||=   ||= 5 2 5 ||= 736.241 ||= 1472.481 ||= 306.767 ||= 1043.007 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= <span style="background-color: #ffffff;">1+√2 1 1+√2</span> ||= 735.542 ||= 1471.084 ||= 304.6715 ||= 1040.214 ||= Silver false father ||
||=   ||= 17\44 ||=   ||=   ||=   ||= 7 3 7 ||= 734.846 ||= 1469.693 ||= 302.584 ||= 1037.41 ||=   ||
||=   ||= 22\57 ||=   ||=   ||=   ||= 9 4 9 ||= 734.088 ||= 1468.176 ||= 300.309 ||= 1034.397 ||=   ||
||=   ||= 27\70 ||=   ||=   ||=   ||= 11 5 11 ||= 733.611 ||= 1467.222 ||= 298.879 ||= 1032.49 ||=   ||
||=   ||=   ||= 59\153 ||=   ||=   ||= 24 11 24 ||= 733.434 ||= 1466.867 ||= 298.346 ||= 1031.779 ||=   ||
||=   ||= 32\83 ||=   ||=   ||=   ||= 13 6 13 ||= 733.284 ||= 1466.568 ||= 297.897 ||= 1031.181 ||= 2g=7/3 near here ||
||= 5\13 ||=   ||=   ||=   ||=   ||= 2 1 2 ||= 731.521 ||= 1463.042 ||= 292.609 ||= 1024.13 ||=   ||
||=   ||= 53\138 ||=   ||=   ||=   ||= 21 11 21 ||= 730.461 ||= 1460.922 ||= 289.428 ||= 1018.889 ||=   ||
||=   ||=   ||= 101\263 ||=   ||=   ||= 40 21 40 ||= 730.409 ||= 1460.817 ||= 289.271 ||= 1019.679 ||= 3g=39/11 near here ||
||=   ||= 48\125 ||=   ||=   ||=   ||= 19 10 19 ||= 730.35 ||= 1460.701 ||= 289.097 ||= 1019.448 ||=   ||
||=   ||= 43\112 ||=   ||=   ||=   ||= 17 9 17 ||= 730.215 ||= 1460.43 ||= 288.69 ||= 1018.905 ||=   ||
||=   ||= 38\99 ||=   ||=   ||=   ||= 15 8 15 ||= 730.043 ||= 1460.087 ||= 288.175 ||= 1018.218 ||=   ||
||=   ||=   ||= 71\185 ||=   ||=   ||= 28 15 28 ||= 729.9395 ||= 1459.879 ||= 287.8635 ||= 1017.803 ||=   ||
||=   ||=   ||= 104\271 ||=   ||=   ||= 41 22 41 ||= 729.902 ||= 1459.803 ||= 287.75 ||= 1017.651 ||= 4g=27/5 near here ||
||=   ||= 33\86 ||=   ||=   ||=   ||= 13 7 13 ||= 729.82 ||= 1459.64 ||= 287.505 ||= 1017.325 ||=   ||
||=   ||= 28\73 ||=   ||=   ||=   ||= 11 6 11 ||= 729.547 ||= 1459.034 ||= 286.596 ||= 1016.113 ||=   ||
||=   ||= 23\60 ||=   ||=   ||=   ||= 9 5 9 ||= 729.083 ||= 1458.1655 ||= 285.293 ||= 1014.376 ||=   ||
||=   ||=   ||= 41\107 ||=   ||=   ||= 16 9 16 ||= 728.7865 ||= 1457.573 ||= 284.4045 ||= 1013.191 ||= 3g=99/28 near here ||
||=   ||=   ||= 59\154 ||=   ||=   ||= 23 13 23 ||= 728.671 ||= 1457.342 ||= 284.058 ||= 1012.729 ||=   ||
||=   ||=   ||= 77\201 ||=   ||=   ||= 30 17 30 ||= 728.61 ||= 1457.219 ||= 283.874 ||= 1012.483 ||=   ||
||=   ||=   ||= 95\248 ||=   ||=   ||= 37 21 37 ||= 728.5715 ||= 1457.143 ||= 283.7595 ||= 1012.331 ||= Golden BP is index-2 near here ||
||=   ||= 18\47 ||=   ||=   ||=   ||= 7 4 7 ||= 728.408 ||= 1456.817 ||= 283.27 ||= 1011.678 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= <span style="background-color: #ffffff;">√3 1 √3</span> ||= 728.159 ||= 1456.318 ||= 282.522 ||= 1010.6815 ||=   ||
||=   ||=   ||= 49\128 ||=   ||=   ||= 19 11 19 ||= 728.092 ||= 1456.184 ||= 282.321 ||= 1010.413 ||= 4g=27/5 minus third comma near here ||
||=   ||=   ||= 31\81 ||=   ||=   ||= 12 7 12 ||= 727.909 ||= 1455.817 ||= 281.771 ||= 1009.68 ||=   ||
||=   ||= 13\34 ||=   ||=   ||=   ||= 5 3 5 ||= 727.218 ||= 1454.436 ||= 279.699 ||= 1006.917 ||=   ||
||=   ||=   ||= 34\89 ||=   ||=   ||= 13 8 13 ||= 726.59 ||= 1453.179 ||= 277.814 ||= 1004.403 ||=   ||
||=   ||=   ||=   ||= 89\233 ||=   ||= 34 21 34 ||= 726.498 ||= 1452.996 ||= 277.538 ||= 1004.036 ||=   ||
||=   ||=   ||=   ||=   ||= 233\610 ||= 89 55 89 ||= 726.4845 ||= 1452.969 ||= 277.4985 ||= 1003.983 ||= Golden false father ||
||=   ||=   ||=   ||= 144\377 ||=   ||= 55 34 55 ||= 726.476 ||= 1452.952 ||= 277.473 ||= 1003.95 ||=   ||
||=   ||=   ||= 55\144 ||=   ||=   ||= 21 13 21 ||= 726.441 ||= 1452.882 ||= 277.368 ||= 1003.809 ||=   ||
||=   ||= 21\55 ||=   ||=   ||=   ||= 8 5 8 ||= 726.201 ||= 1452.402 ||= 276.468 ||= 1002.849 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= pi 2 pi ||= 725.736 ||= 1451.472 ||= 275.252 ||= 1000.988 ||=   ||
||= 8\21 ||=   ||=   ||=   ||=   ||= 3 2 3 ||= 724.554 ||= 1449.109 ||= 271.708 ||= 996.226 ||= Optimum rank range (L/s=3/2) false father ||
||=   ||=   ||=   ||=   ||=   ||= ~543 361 543 ||= 724.511 ||= 1449.022 ||= 271.579 ||= 996.09 ||= 4g=16/3 ||
||=   ||= 27\71 ||=   ||=   ||=   ||= 10 7 10 ||= 723.279 ||= 1446.557 ||= 267.881 ||= 991.16 ||=   ||
||=   ||=   ||= 46\121 ||=   ||=   ||= 17 12 17 ||= 723.057 ||= 1446.115 ||= 267.217 ||= 990.274 ||=   ||
||=   ||=   ||= 65\171 ||=   ||=   ||= 24 17 24 ||= 722.965 ||= 1445.931 ||= 266.941 ||= 989.907 ||= 3g=7/2 near here ||
||=   ||= 19\50 ||=   ||=   ||=   ||= 7 5 7 ||= 722.743 ||= 1445.486 ||= 266.274 ||= 989.017 ||=   ||
||= 11\29 ||=   ||=   ||=   ||=   ||= 4 3 4 ||= 721.431 ||= 1442.862 ||= 262.338 ||= 983.77 ||=   ||
||=   ||= 25\66 ||=   ||=   ||=   ||= 9 7 9 ||= 720.4375 ||= 1440.875 ||= 259.3575 ||= 979.795 ||=   ||
||=   ||=   ||= 64\169 ||=   ||=   ||= 23 18 23 ||= 720.267 ||= 1440.534 ||= 258.848 ||= 979.113 ||=   ||
||=   ||=   ||=   ||= 167\441 ||=   ||= 60 47 60 ||= 720.2415 ||= 1440.483 ||= 258.7965 ||= 979.001 ||=   ||
||=   ||=   ||=   ||=   ||= 437\1154 ||= 157 123 157 ||= 720.238 ||= 1440.475 ||= 258.758 ||= 978.996 ||=   ||
||=   ||=   ||=   ||= 270\713 ||=   ||= 97 76 97 ||= 720.235 ||= 1440.471 ||= 258.751 ||= 978.987 ||=   ||
||=   ||=   ||= 103\272 ||=   ||=   ||= 37 29 37 ||= 720.226 ||= 1440.451 ||= 258.722 ||= 978.947 ||=   ||
||=   ||= 39\103 ||=   ||=   ||=   ||= 14 11 14 ||= 720.158 ||= 1440.315 ||= 258.518 ||= 978.676 ||=   ||
||= 14\37 ||=   ||=   ||=   ||=   ||= 5 4 5 ||= 719.659 ||= 1439.317 ||= 257.021 ||= 976.679 ||=   ||
||=   ||= 31\82 ||=   ||=   ||=   ||= 11 9 11 ||= 719.032 ||= 1438.064 ||= 255.14 ||= 974.172 ||=   ||
||=   ||=   ||= 79\209 ||=   ||=   ||= 28 23 28 ||= 718.921 ||= 1437.842 ||= 254.807 ||= 973.728 ||=   ||
||=   ||=   ||=   ||= 206\545 ||=   ||= 73 60 73 ||= 718.904 ||= 1437.808 ||= 254.757 ||= 973.661 ||=   ||
||=   ||=   ||=   ||=   ||= 539\1426 ||= 191 117 191 ||= 718.902 ||= 1437.803 ||= 254.75 ||= 973.652 ||=   ||
||=   ||=   ||=   ||= 333\881 ||=   ||= 118 97 118 ||= 718.90 ||= 1437.80 ||= 254.745 ||= 973.6455 ||=   ||
||=   ||=   ||= 127\336 ||=   ||=   ||= 45 37 45 ||= 718.893 ||= 1437.787 ||= 254.726 ||= 973.619 ||=   ||
||=   ||= 48\127 ||=   ||=   ||=   ||= 17 14 17 ||= 718.849 ||= 1437.698 ||= 254.592 ||= 973.441 ||=   ||
||= 17\45 ||=   ||=   ||=   ||=   ||= 6 5 6 ||= 718.516 ||= 1437.032 ||= 253.549 ||= 972.11 ||=   ||
||= 20\53 ||=   ||=   ||=   ||=   ||= 7 6 7 ||= 717.719 ||= 1435.438 ||= 251.202 ||= 968.9205 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= ~401 344 401 ||= 717.695 ||= 1435.3905 ||= 251.131 ||= 968.826 ||= 4g=21/4 ||
||= 23\61 ||=   ||=   ||=   ||=   ||= 8 7 8 ||= 717.131 ||= 1434.261 ||= 249.437 ||= 966.567 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= ~6682 5875 6682 ||= 716.9925 ||= 1433.985 ||= 249.0225 ||= 966.015 ||= 6g=12 ||
||= 26\69 ||=   ||=   ||=   ||=   ||= 9 8 9 ||= 716.679 ||= 1433.357 ||= 248.081 ||= 964.76 ||=   ||
||= 29\77 ||=   ||=   ||=   ||=   ||= 10 9 10 ||= 716.321 ||= 1432.641 ||= 247.007 ||= 963.328 ||=   ||
||= 32\85 ||=   ||=   ||=   ||=   ||= 11 10 11 ||= 716.03 ||= 1432.06 ||= 246.135 ||= 962.1655 ||=   ||
||= 35\93 ||=   ||=   ||=   ||=   ||= 12 11 12 ||= 715.7895 ||= 1431.759 ||= 245.4135 ||= 961.203 ||=   ||
||= 38/101 ||=   ||=   ||=   ||=   ||= 13 12 13 ||= 715.587 ||= 1431.174 ||= 244.806 ||= 960.393 ||= 2g=16\7 near here ||
||= 3\8 ||=   ||=   ||=   ||=   ||= 1 1 1 ||= 713.233 ||= 1426.466 ||= 237.744 ||= 950.9775 ||=   ||
.

Original HTML content:

<html><head><title>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">generator<br />
</th>
        <th><span style="display: block; text-align: center;">tetrachord</span><br />
</th>
        <th><span style="display: block; text-align: center;">g in cents</span><br />
</th>
        <th><span style="display: block; text-align: center;">2g</span><br />
</th>
        <th><span style="display: block; text-align: center;">3g</span><br />
</th>
        <th><span style="display: block; text-align: center;">4g</span><br />
</th>
        <th><span style="display: block; text-align: center;">Comments</span><br />
</th>
    </tr>
    <tr>
        <td>2\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 0 1</span><br />
</td>
        <td style="text-align: center;">480.000<br />
</td>
        <td style="text-align: center;">960.000<br />
</td>
        <td style="text-align: center;">240.00<br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">720.000</span><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>21\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">10 1 10</span><br />
</td>
        <td style="text-align: center;">475.472<br />
</td>
        <td style="text-align: center;">950.943<br />
</td>
        <td style="text-align: center;">226.415<br />
</td>
        <td style="text-align: center;">701.887<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Vulture/Buzzard is around here</span><br />
</td>
    </tr>
    <tr>
        <td>19\48<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">9 1 9</span><br />
</td>
        <td style="text-align: center;">475<br />
</td>
        <td style="text-align: center;">950<br />
</td>
        <td style="text-align: center;">225<br />
</td>
        <td style="text-align: center;">700<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>17\43<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">8 1 8</span><br />
</td>
        <td style="text-align: center;">474.419<br />
</td>
        <td style="text-align: center;">948.837<br />
</td>
        <td style="text-align: center;">223.256<br />
</td>
        <td style="text-align: center;">697.674<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>15\38<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">7 1 7</span><br />
</td>
        <td style="text-align: center;">473.684<br />
</td>
        <td style="text-align: center;">947.368<br />
</td>
        <td style="text-align: center;">221.053<br />
</td>
        <td style="text-align: center;">694.737<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>13\33<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">6 1 6</span><br />
</td>
        <td style="text-align: center;">472.727<br />
</td>
        <td style="text-align: center;">945.455<br />
</td>
        <td style="text-align: center;">218.181<br />
</td>
        <td style="text-align: center;">690.909<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>11\28<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 1 5</span><br />
</td>
        <td style="text-align: center;">471.429<br />
</td>
        <td style="text-align: center;">942.857<br />
</td>
        <td style="text-align: center;">214.286<br />
</td>
        <td style="text-align: center;">685.714<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>9\23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">4 1 4</span><br />
</td>
        <td style="text-align: center;">469.565<br />
</td>
        <td style="text-align: center;">939.130<br />
</td>
        <td style="text-align: center;">208.696<br />
</td>
        <td style="text-align: center;">678.261<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 4</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">pi 1 pi<br />
</td>
        <td style="text-align: center;">467.171<br />
</td>
        <td style="text-align: center;">934.3425<br />
</td>
        <td style="text-align: center;">201.514<br />
</td>
        <td style="text-align: center;">668.685<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
</td>
    </tr>
    <tr>
        <td>7\18<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">3 1 3</span><br />
</td>
        <td style="text-align: center;">466.667<br />
</td>
        <td style="text-align: center;">933.333<br />
</td>
        <td style="text-align: center;">200.000<br />
</td>
        <td style="text-align: center;">666.667<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">e 1 e<br />
</td>
        <td style="text-align: center;">465.535<br />
</td>
        <td style="text-align: center;">931.069<br />
</td>
        <td style="text-align: center;">196.604<br />
</td>
        <td style="text-align: center;">662.139<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>19\49<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">8 3 8<br />
</td>
        <td style="text-align: center;">465.306<br />
</td>
        <td style="text-align: center;">930.612<br />
</td>
        <td style="text-align: center;">195.918<br />
</td>
        <td style="text-align: center;">661.2245<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>50\129<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">21 8 21<br />
</td>
        <td style="text-align: center;">465.116<br />
</td>
        <td style="text-align: center;">930.233<br />
</td>
        <td style="text-align: center;">195.349<br />
</td>
        <td style="text-align: center;">660.465<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>131\338<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">55 21 55<br />
</td>
        <td style="text-align: center;">465.089<br />
</td>
        <td style="text-align: center;">930.1775<br />
</td>
        <td style="text-align: center;">195.266<br />
</td>
        <td style="text-align: center;">660.335<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>212\547<br />
</td>
        <td style="text-align: center;">89 34 89<br />
</td>
        <td style="text-align: center;">465.082<br />
</td>
        <td style="text-align: center;">930.1645<br />
</td>
        <td style="text-align: center;">195.247<br />
</td>
        <td style="text-align: center;">660.329<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>81\209<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">34 13 34<br />
</td>
        <td style="text-align: center;">465.072<br />
</td>
        <td style="text-align: center;">930.1435<br />
</td>
        <td style="text-align: center;">195.215<br />
</td>
        <td style="text-align: center;">660.287<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>31\80<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">13 5 13<br />
</td>
        <td style="text-align: center;">465<br />
</td>
        <td style="text-align: center;">930<br />
</td>
        <td style="text-align: center;">195<br />
</td>
        <td style="text-align: center;">660<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12\31<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 2 5</span><br />
</td>
        <td style="text-align: center;">464.516<br />
</td>
        <td style="text-align: center;">929.032<br />
</td>
        <td style="text-align: center;">193.549<br />
</td>
        <td style="text-align: center;">658.065<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>5\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">2 1 2</span><br />
</td>
        <td style="text-align: center;">461.538<br />
</td>
        <td style="text-align: center;">923.077<br />
</td>
        <td style="text-align: center;">184.615<br />
</td>
        <td style="text-align: center;">646.154<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="background-color: #ffffff;">√3 1 √3</span><br />
</td>
        <td style="text-align: center;">459.417<br />
</td>
        <td style="text-align: center;">918.8345<br />
</td>
        <td style="text-align: center;">178.252<br />
</td>
        <td style="text-align: center;">637.669<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>13\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 3 5</span><br />
</td>
        <td style="text-align: center;">458.824<br />
</td>
        <td style="text-align: center;">917.647<br />
</td>
        <td style="text-align: center;">176.471<br />
</td>
        <td style="text-align: center;">635.294<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>34\89<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">13 8 13</span><br />
</td>
        <td style="text-align: center;">458.427<br />
</td>
        <td style="text-align: center;">916.854<br />
</td>
        <td style="text-align: center;">175.281<br />
</td>
        <td style="text-align: center;">633.708<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>89\233<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">34 21 34</span><br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">458.369</span><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">916.738</span><br />
</td>
        <td style="text-align: center;">175.107<br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">633.473</span><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>233\610<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">89 55 89</span><br />
</td>
        <td style="text-align: center;">458.361<br />
</td>
        <td style="text-align: center;">916.721<br />
</td>
        <td style="text-align: center;">175.082<br />
</td>
        <td style="text-align: center;">633.443<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Golden father</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>144\377<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">55 34 55</span><br />
</td>
        <td style="text-align: center;">458.355<br />
</td>
        <td style="text-align: center;">916.711<br />
</td>
        <td style="text-align: center;">175.066<br />
</td>
        <td style="text-align: center;">633.422<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>55\144<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">21 13 21</span><br />
</td>
        <td style="text-align: center;">458.333<br />
</td>
        <td style="text-align: center;">916.666<br />
</td>
        <td style="text-align: center;">175<br />
</td>
        <td style="text-align: center;">633.333<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>21\55<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">8 5 8</span><br />
</td>
        <td style="text-align: center;">458.182<br />
</td>
        <td style="text-align: center;">916.364<br />
</td>
        <td style="text-align: center;">174.545<br />
</td>
        <td style="text-align: center;">632.727<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">pi 2 pi</span><br />
</td>
        <td style="text-align: center;">457.883<br />
</td>
        <td style="text-align: center;">915.777<br />
</td>
        <td style="text-align: center;">173.665<br />
</td>
        <td style="text-align: center;">631.553<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>8\21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">3 2 3</span><br />
</td>
        <td style="text-align: center;">457.143<br />
</td>
        <td style="text-align: center;">914.286<br />
</td>
        <td style="text-align: center;">171.429<br />
</td>
        <td style="text-align: center;">628.571<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span><br />
</td>
    </tr>
    <tr>
        <td>11\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">4 3 4</span><br />
</td>
        <td style="text-align: center;">455.172<br />
</td>
        <td style="text-align: center;">910.345<br />
</td>
        <td style="text-align: center;">165.517<br />
</td>
        <td style="text-align: center;">620.690<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>14\37<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">5 4 5<br />
</td>
        <td style="text-align: center;">454.054<br />
</td>
        <td style="text-align: center;">908.108<br />
</td>
        <td style="text-align: center;">162.162<br />
</td>
        <td style="text-align: center;">616.216<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>17\45<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">6 5 6<br />
</td>
        <td style="text-align: center;">453.333<br />
</td>
        <td style="text-align: center;">906.667<br />
</td>
        <td style="text-align: center;">160<br />
</td>
        <td style="text-align: center;">613.333<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>20\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">7 6 7<br />
</td>
        <td style="text-align: center;">452.83<br />
</td>
        <td style="text-align: center;">905.66<br />
</td>
        <td style="text-align: center;">158.491<br />
</td>
        <td style="text-align: center;">611.321<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>23\61<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">8 7 8<br />
</td>
        <td style="text-align: center;">452.459<br />
</td>
        <td style="text-align: center;">904.918<br />
</td>
        <td style="text-align: center;">157.377<br />
</td>
        <td style="text-align: center;">609.836<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>26\69<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">9 8 9<br />
</td>
        <td style="text-align: center;">452.174<br />
</td>
        <td style="text-align: center;">904.348<br />
</td>
        <td style="text-align: center;">156.522<br />
</td>
        <td style="text-align: center;">608.696<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>29\77<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">10 9 10<br />
</td>
        <td style="text-align: center;">451.948<br />
</td>
        <td style="text-align: center;">903.896<br />
</td>
        <td style="text-align: center;">155.844<br />
</td>
        <td style="text-align: center;">607.792<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 1 1</span><br />
</td>
        <td style="text-align: center;">450.000<br />
</td>
        <td style="text-align: center;">900.000<br />
</td>
        <td style="text-align: center;">150.000<br />
</td>
        <td style="text-align: center;">600.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

The only notable harmonic entropy minimum is Vulture/<a class="wiki_link" href="/Hemifamity%20temperaments">Buzzard</a>, in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.<br />
<br />
By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.<br />
<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">generator<br />
</th>
        <th>tetrachord<br />
</th>
        <th>g in cents<br />
</th>
        <th>2g<br />
</th>
        <th>3g<br />
</th>
        <th>4g<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">2\5<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">1 0 1<br />
</td>
        <td style="text-align: center;">760.782<br />
</td>
        <td style="text-align: center;">1521.564<br />
</td>
        <td style="text-align: center;">380.391<br />
</td>
        <td style="text-align: center;">1141.173<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">27\68<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 1 13<br />
</td>
        <td style="text-align: center;">755.188<br />
</td>
        <td style="text-align: center;">1510.376<br />
</td>
        <td style="text-align: center;">363.609<br />
</td>
        <td style="text-align: center;">1118.797<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">~6626 515 6626<br />
</td>
        <td style="text-align: center;">755.132<br />
</td>
        <td style="text-align: center;">1510.265<br />
</td>
        <td style="text-align: center;">363.442<br />
</td>
        <td style="text-align: center;">1118.574<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">2g=12/5 minus quarter comma</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">25\63<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">12 1 12<br />
</td>
        <td style="text-align: center;">754.744<br />
</td>
        <td style="text-align: center;">1509.488<br />
</td>
        <td style="text-align: center;">362.277<br />
</td>
        <td style="text-align: center;">1117.021<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23\58<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 1 11<br />
</td>
        <td style="text-align: center;">754.2235<br />
</td>
        <td style="text-align: center;">1508.447<br />
</td>
        <td style="text-align: center;">360.716<br />
</td>
        <td style="text-align: center;">1114.939<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">21\53<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">10 1 10<br />
</td>
        <td style="text-align: center;">753.605<br />
</td>
        <td style="text-align: center;">1507.21<br />
</td>
        <td style="text-align: center;">358.859<br />
</td>
        <td style="text-align: center;">1112.464<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">19\48<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 1 9<br />
</td>
        <td style="text-align: center;">752.857<br />
</td>
        <td style="text-align: center;">1505.714<br />
</td>
        <td style="text-align: center;">356.617<br />
</td>
        <td style="text-align: center;">1109.474<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">17\43<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">8 1 8<br />
</td>
        <td style="text-align: center;">751.936<br />
</td>
        <td style="text-align: center;">1503.871<br />
</td>
        <td style="text-align: center;">353.852<br />
</td>
        <td style="text-align: center;">1105.788<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">15\38<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 1 7<br />
</td>
        <td style="text-align: center;">750.771<br />
</td>
        <td style="text-align: center;">1501.543<br />
</td>
        <td style="text-align: center;">350.36<br />
</td>
        <td style="text-align: center;">1101.132<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">28/71<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 2 13<br />
</td>
        <td style="text-align: center;">750.067<br />
</td>
        <td style="text-align: center;">1500.1335<br />
</td>
        <td style="text-align: center;">348.245<br />
</td>
        <td style="text-align: center;">1098.312<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">41\104<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19 3 19<br />
</td>
        <td style="text-align: center;">749.809<br />
</td>
        <td style="text-align: center;">1466.618<br />
</td>
        <td style="text-align: center;">347.4725<br />
</td>
        <td style="text-align: center;">1097.282<br />
</td>
        <td style="text-align: center;">3g=11/3 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">13\33<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">6 1 6<br />
</td>
        <td style="text-align: center;">749.255<br />
</td>
        <td style="text-align: center;">1498.51<br />
</td>
        <td style="text-align: center;">345.81<br />
</td>
        <td style="text-align: center;">1095.065<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">24\61<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 2 11<br />
</td>
        <td style="text-align: center;">748.31<br />
</td>
        <td style="text-align: center;">1496.62<br />
</td>
        <td style="text-align: center;">342.976<br />
</td>
        <td style="text-align: center;">1091.286<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">35\89<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">16 3 16<br />
</td>
        <td style="text-align: center;">747.96<br />
</td>
        <td style="text-align: center;">1495.92<br />
</td>
        <td style="text-align: center;">341.924<br />
</td>
        <td style="text-align: center;">1089.884<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">46\117<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21 4 21<br />
</td>
        <td style="text-align: center;">747.777<br />
</td>
        <td style="text-align: center;">1495.554<br />
</td>
        <td style="text-align: center;">341.377<br />
</td>
        <td style="text-align: center;">1089.154<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">57\145<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">26 5 26<br />
</td>
        <td style="text-align: center;">747.665<br />
</td>
        <td style="text-align: center;">1495.33<br />
</td>
        <td style="text-align: center;">341.04<br />
</td>
        <td style="text-align: center;">1088.705<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5+<span style="background-color: #ffffff;">√29 2 5+√29</span><br />
</td>
        <td style="text-align: center;">747.648<br />
</td>
        <td style="text-align: center;">1495.297<br />
</td>
        <td style="text-align: center;">340.99<br />
</td>
        <td style="text-align: center;">1088.638<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">68\173<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31 6 31<br />
</td>
        <td style="text-align: center;">747.589<br />
</td>
        <td style="text-align: center;">1495.178<br />
</td>
        <td style="text-align: center;">340.813<br />
</td>
        <td style="text-align: center;">1088.402<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">147\374<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">67 13 67<br />
</td>
        <td style="text-align: center;">747.56<br />
</td>
        <td style="text-align: center;">1495.12<br />
</td>
        <td style="text-align: center;">340.725<br />
</td>
        <td style="text-align: center;">1088.285<br />
</td>
        <td style="text-align: center;">4g=45/8 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">79\201<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">36 7 36<br />
</td>
        <td style="text-align: center;">747.535<br />
</td>
        <td style="text-align: center;">1495.069<br />
</td>
        <td style="text-align: center;">340.649<br />
</td>
        <td style="text-align: center;">1088.183<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11\28<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5 1 5<br />
</td>
        <td style="text-align: center;">747.197<br />
</td>
        <td style="text-align: center;">1494.393<br />
</td>
        <td style="text-align: center;">339.635<br />
</td>
        <td style="text-align: center;">1086.831<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">20\51<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 2 9<br />
</td>
        <td style="text-align: center;">745.865<br />
</td>
        <td style="text-align: center;">1491.729<br />
</td>
        <td style="text-align: center;">335.639<br />
</td>
        <td style="text-align: center;">1081.50<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">29\74<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 3 13<br />
</td>
        <td style="text-align: center;">745.361<br />
</td>
        <td style="text-align: center;">1490.721<br />
</td>
        <td style="text-align: center;">334.127<br />
</td>
        <td style="text-align: center;">1079.488<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">38/97<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17 4 17<br />
</td>
        <td style="text-align: center;">745.096<br />
</td>
        <td style="text-align: center;">1490.192<br />
</td>
        <td style="text-align: center;">333.332<br />
</td>
        <td style="text-align: center;">1078.428<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">2+<span style="background-color: #ffffff;">√5 1 </span>2+<span style="background-color: #ffffff;">√5</span><br />
</td>
        <td style="text-align: center;">754.051<br />
</td>
        <td style="text-align: center;">1490.101<br />
</td>
        <td style="text-align: center;">333.197<br />
</td>
        <td style="text-align: center;">1078.247<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">47\120<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21 5 21<br />
</td>
        <td style="text-align: center;">744.932<br />
</td>
        <td style="text-align: center;">1489.865<br />
</td>
        <td style="text-align: center;">332.842<br />
</td>
        <td style="text-align: center;">1077.7745<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9\23<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">4 1 4<br />
</td>
        <td style="text-align: center;">744.243<br />
</td>
        <td style="text-align: center;">1488.487<br />
</td>
        <td style="text-align: center;">330.775<br />
</td>
        <td style="text-align: center;">1075.018<br />
</td>
        <td style="text-align: center;">L/s = 4<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">43\110<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19 5 19<br />
</td>
        <td style="text-align: center;">743.4915<br />
</td>
        <td style="text-align: center;">1486.983<br />
</td>
        <td style="text-align: center;">328.5195<br />
</td>
        <td style="text-align: center;">1072.011<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">77\197<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34 9 34<br />
</td>
        <td style="text-align: center;">743.404<br />
</td>
        <td style="text-align: center;">1486.807<br />
</td>
        <td style="text-align: center;">328.256<br />
</td>
        <td style="text-align: center;">1071.66<br />
</td>
        <td style="text-align: center;">4g=39/7 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34\87<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">15 4 15<br />
</td>
        <td style="text-align: center;">743.293<br />
</td>
        <td style="text-align: center;">1486.586<br />
</td>
        <td style="text-align: center;">327.923<br />
</td>
        <td style="text-align: center;">1071.216<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">25\64<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 3 11<br />
</td>
        <td style="text-align: center;">742.951<br />
</td>
        <td style="text-align: center;">1485.902<br />
</td>
        <td style="text-align: center;">326.899<br />
</td>
        <td style="text-align: center;">1069.85<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">16\41<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 2 7<br />
</td>
        <td style="text-align: center;">742.226<br />
</td>
        <td style="text-align: center;">1484.453<br />
</td>
        <td style="text-align: center;">324.724<br />
</td>
        <td style="text-align: center;">1066.95<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23\59<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">10 3 10<br />
</td>
        <td style="text-align: center;">741.44<br />
</td>
        <td style="text-align: center;">1482.88<br />
</td>
        <td style="text-align: center;">322.365<br />
</td>
        <td style="text-align: center;">1063.805<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">3+<span style="background-color: #ffffff;">√13 2 3+√13</span><br />
</td>
        <td style="text-align: center;">741.289<br />
</td>
        <td style="text-align: center;">1482.577<br />
</td>
        <td style="text-align: center;">321.911<br />
</td>
        <td style="text-align: center;">1063.20<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">30\77<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 4 13<br />
</td>
        <td style="text-align: center;">741.021<br />
</td>
        <td style="text-align: center;">1482.043<br />
</td>
        <td style="text-align: center;">321.109<br />
</td>
        <td style="text-align: center;">1062.131<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">pi 1 pi<br />
</td>
        <td style="text-align: center;">740.449<br />
</td>
        <td style="text-align: center;">1480.898<br />
</td>
        <td style="text-align: center;">319.392<br />
</td>
        <td style="text-align: center;">1056.841<br />
</td>
        <td style="text-align: center;">L/s = pi<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">7\18<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">3 1 3<br />
</td>
        <td style="text-align: center;">739.649<br />
</td>
        <td style="text-align: center;">1479.298<br />
</td>
        <td style="text-align: center;">316.992<br />
</td>
        <td style="text-align: center;">1056.642<br />
</td>
        <td style="text-align: center;">L/s = 3<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">89\229<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">38 13 38<br />
</td>
        <td style="text-align: center;">739.188<br />
</td>
        <td style="text-align: center;">1478.376<br />
</td>
        <td style="text-align: center;">315.608<br />
</td>
        <td style="text-align: center;">1054.796<br />
</td>
        <td style="text-align: center;">3g=18/5 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">82\211<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">35 12 35<br />
</td>
        <td style="text-align: center;">739.148<br />
</td>
        <td style="text-align: center;">1478.297<br />
</td>
        <td style="text-align: center;">315.49<br />
</td>
        <td style="text-align: center;">1054.639<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">75\193<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">32 11 32<br />
</td>
        <td style="text-align: center;">739.102<br />
</td>
        <td style="text-align: center;">1478.203<br />
</td>
        <td style="text-align: center;">315.35<br />
</td>
        <td style="text-align: center;">1054.452<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">68\175<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">29 10 29<br />
</td>
        <td style="text-align: center;">739.045<br />
</td>
        <td style="text-align: center;">1478.091<br />
</td>
        <td style="text-align: center;">315.181<br />
</td>
        <td style="text-align: center;">1054.227<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">61/157<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">26 9 26<br />
</td>
        <td style="text-align: center;">738.976<br />
</td>
        <td style="text-align: center;">1477.952<br />
</td>
        <td style="text-align: center;">314.973<br />
</td>
        <td style="text-align: center;">1053.949<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">54\139<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23 8 23<br />
</td>
        <td style="text-align: center;">738.889<br />
</td>
        <td style="text-align: center;">1477.778<br />
</td>
        <td style="text-align: center;">314.712<br />
</td>
        <td style="text-align: center;">1053.601<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">47\121<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">20 7 20<br />
</td>
        <td style="text-align: center;">738.776<br />
</td>
        <td style="text-align: center;">1477.552<br />
</td>
        <td style="text-align: center;">314.373<br />
</td>
        <td style="text-align: center;">1053.149<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">40\103<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17 6 17<br />
</td>
        <td style="text-align: center;">738.623<br />
</td>
        <td style="text-align: center;">1477.247<br />
</td>
        <td style="text-align: center;">313.915<br />
</td>
        <td style="text-align: center;">1052.538<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">33\85<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">14 5 14<br />
</td>
        <td style="text-align: center;">738.406<br />
</td>
        <td style="text-align: center;">1476.812<br />
</td>
        <td style="text-align: center;">313.263<br />
</td>
        <td style="text-align: center;">1051.669<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">26\67<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 4 11<br />
</td>
        <td style="text-align: center;">738.072<br />
</td>
        <td style="text-align: center;">1476.144<br />
</td>
        <td style="text-align: center;">312.261<br />
</td>
        <td style="text-align: center;">1050.333<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">e 1 e<br />
</td>
        <td style="text-align: center;">737.855<br />
</td>
        <td style="text-align: center;">1478.71<br />
</td>
        <td style="text-align: center;">311.61<br />
</td>
        <td style="text-align: center;">1049.465<br />
</td>
        <td style="text-align: center;">L/s = e<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19\49<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">8 3 8<br />
</td>
        <td style="text-align: center;">737.493<br />
</td>
        <td style="text-align: center;">1474.986<br />
</td>
        <td style="text-align: center;">310.523<br />
</td>
        <td style="text-align: center;">1048.016<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">164\423<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">69 26 69<br />
</td>
        <td style="text-align: center;">737.401<br />
</td>
        <td style="text-align: center;">1474.802<br />
</td>
        <td style="text-align: center;">310.248<br />
</td>
        <td style="text-align: center;">1047.649<br />
</td>
        <td style="text-align: center;">3g=18/5 minus quarter comma near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">145\374<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">61 23 61<br />
</td>
        <td style="text-align: center;">737.389<br />
</td>
        <td style="text-align: center;">1474.778<br />
</td>
        <td style="text-align: center;">310.212<br />
</td>
        <td style="text-align: center;">1047.601<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">126\325<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">53 20 53<br />
</td>
        <td style="text-align: center;">737.373<br />
</td>
        <td style="text-align: center;">1474.747<br />
</td>
        <td style="text-align: center;">310.165<br />
</td>
        <td style="text-align: center;">1047.538<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">107\276<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">45 17 45<br />
</td>
        <td style="text-align: center;">737.352<br />
</td>
        <td style="text-align: center;">1474.704<br />
</td>
        <td style="text-align: center;">310.101<br />
</td>
        <td style="text-align: center;">1047.453<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">88\227<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">37 14 37<br />
</td>
        <td style="text-align: center;">737.322<br />
</td>
        <td style="text-align: center;">1474.644<br />
</td>
        <td style="text-align: center;">310.01<br />
</td>
        <td style="text-align: center;">1047.332<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">69\178<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">29 11 29<br />
</td>
        <td style="text-align: center;">737.275<br />
</td>
        <td style="text-align: center;">1474.549<br />
</td>
        <td style="text-align: center;">309.869<br />
</td>
        <td style="text-align: center;">1047.144<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">50\129<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21 8 21<br />
</td>
        <td style="text-align: center;">737.192<br />
</td>
        <td style="text-align: center;">1474.384<br />
</td>
        <td style="text-align: center;">309.621<br />
</td>
        <td style="text-align: center;">1046.812<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">131\338<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">55 21 55<br />
</td>
        <td style="text-align: center;">737.148<br />
</td>
        <td style="text-align: center;">1474.296<br />
</td>
        <td style="text-align: center;">309.49<br />
</td>
        <td style="text-align: center;">1046.638<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">212\547<br />
</td>
        <td style="text-align: center;">89 34 89<br />
</td>
        <td style="text-align: center;">737.138<br />
</td>
        <td style="text-align: center;">1474.276<br />
</td>
        <td style="text-align: center;">309.459<br />
</td>
        <td style="text-align: center;">1046.597<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">81\209<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34 13 34<br />
</td>
        <td style="text-align: center;">737.121<br />
</td>
        <td style="text-align: center;">1474.243<br />
</td>
        <td style="text-align: center;">309.409<br />
</td>
        <td style="text-align: center;">1046.53<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\80<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 5 13<br />
</td>
        <td style="text-align: center;">737.008<br />
</td>
        <td style="text-align: center;">1474.015<br />
</td>
        <td style="text-align: center;">309.068<br />
</td>
        <td style="text-align: center;">1046.075<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">12\31<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5 2 5<br />
</td>
        <td style="text-align: center;">736.241<br />
</td>
        <td style="text-align: center;">1472.481<br />
</td>
        <td style="text-align: center;">306.767<br />
</td>
        <td style="text-align: center;">1043.007<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><span style="background-color: #ffffff;">1+√2 1 1+√2</span><br />
</td>
        <td style="text-align: center;">735.542<br />
</td>
        <td style="text-align: center;">1471.084<br />
</td>
        <td style="text-align: center;">304.6715<br />
</td>
        <td style="text-align: center;">1040.214<br />
</td>
        <td style="text-align: center;">Silver false father<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17\44<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 3 7<br />
</td>
        <td style="text-align: center;">734.846<br />
</td>
        <td style="text-align: center;">1469.693<br />
</td>
        <td style="text-align: center;">302.584<br />
</td>
        <td style="text-align: center;">1037.41<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">22\57<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 4 9<br />
</td>
        <td style="text-align: center;">734.088<br />
</td>
        <td style="text-align: center;">1468.176<br />
</td>
        <td style="text-align: center;">300.309<br />
</td>
        <td style="text-align: center;">1034.397<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">27\70<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 5 11<br />
</td>
        <td style="text-align: center;">733.611<br />
</td>
        <td style="text-align: center;">1467.222<br />
</td>
        <td style="text-align: center;">298.879<br />
</td>
        <td style="text-align: center;">1032.49<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">59\153<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">24 11 24<br />
</td>
        <td style="text-align: center;">733.434<br />
</td>
        <td style="text-align: center;">1466.867<br />
</td>
        <td style="text-align: center;">298.346<br />
</td>
        <td style="text-align: center;">1031.779<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">32\83<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 6 13<br />
</td>
        <td style="text-align: center;">733.284<br />
</td>
        <td style="text-align: center;">1466.568<br />
</td>
        <td style="text-align: center;">297.897<br />
</td>
        <td style="text-align: center;">1031.181<br />
</td>
        <td style="text-align: center;">2g=7/3 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5\13<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">2 1 2<br />
</td>
        <td style="text-align: center;">731.521<br />
</td>
        <td style="text-align: center;">1463.042<br />
</td>
        <td style="text-align: center;">292.609<br />
</td>
        <td style="text-align: center;">1024.13<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">53\138<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21 11 21<br />
</td>
        <td style="text-align: center;">730.461<br />
</td>
        <td style="text-align: center;">1460.922<br />
</td>
        <td style="text-align: center;">289.428<br />
</td>
        <td style="text-align: center;">1018.889<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">101\263<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">40 21 40<br />
</td>
        <td style="text-align: center;">730.409<br />
</td>
        <td style="text-align: center;">1460.817<br />
</td>
        <td style="text-align: center;">289.271<br />
</td>
        <td style="text-align: center;">1019.679<br />
</td>
        <td style="text-align: center;">3g=39/11 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">48\125<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19 10 19<br />
</td>
        <td style="text-align: center;">730.35<br />
</td>
        <td style="text-align: center;">1460.701<br />
</td>
        <td style="text-align: center;">289.097<br />
</td>
        <td style="text-align: center;">1019.448<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">43\112<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17 9 17<br />
</td>
        <td style="text-align: center;">730.215<br />
</td>
        <td style="text-align: center;">1460.43<br />
</td>
        <td style="text-align: center;">288.69<br />
</td>
        <td style="text-align: center;">1018.905<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">38\99<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">15 8 15<br />
</td>
        <td style="text-align: center;">730.043<br />
</td>
        <td style="text-align: center;">1460.087<br />
</td>
        <td style="text-align: center;">288.175<br />
</td>
        <td style="text-align: center;">1018.218<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">71\185<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">28 15 28<br />
</td>
        <td style="text-align: center;">729.9395<br />
</td>
        <td style="text-align: center;">1459.879<br />
</td>
        <td style="text-align: center;">287.8635<br />
</td>
        <td style="text-align: center;">1017.803<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">104\271<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">41 22 41<br />
</td>
        <td style="text-align: center;">729.902<br />
</td>
        <td style="text-align: center;">1459.803<br />
</td>
        <td style="text-align: center;">287.75<br />
</td>
        <td style="text-align: center;">1017.651<br />
</td>
        <td style="text-align: center;">4g=27/5 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">33\86<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 7 13<br />
</td>
        <td style="text-align: center;">729.82<br />
</td>
        <td style="text-align: center;">1459.64<br />
</td>
        <td style="text-align: center;">287.505<br />
</td>
        <td style="text-align: center;">1017.325<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">28\73<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 6 11<br />
</td>
        <td style="text-align: center;">729.547<br />
</td>
        <td style="text-align: center;">1459.034<br />
</td>
        <td style="text-align: center;">286.596<br />
</td>
        <td style="text-align: center;">1016.113<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23\60<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 5 9<br />
</td>
        <td style="text-align: center;">729.083<br />
</td>
        <td style="text-align: center;">1458.1655<br />
</td>
        <td style="text-align: center;">285.293<br />
</td>
        <td style="text-align: center;">1014.376<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">41\107<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">16 9 16<br />
</td>
        <td style="text-align: center;">728.7865<br />
</td>
        <td style="text-align: center;">1457.573<br />
</td>
        <td style="text-align: center;">284.4045<br />
</td>
        <td style="text-align: center;">1013.191<br />
</td>
        <td style="text-align: center;">3g=99/28 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">59\154<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23 13 23<br />
</td>
        <td style="text-align: center;">728.671<br />
</td>
        <td style="text-align: center;">1457.342<br />
</td>
        <td style="text-align: center;">284.058<br />
</td>
        <td style="text-align: center;">1012.729<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">77\201<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">30 17 30<br />
</td>
        <td style="text-align: center;">728.61<br />
</td>
        <td style="text-align: center;">1457.219<br />
</td>
        <td style="text-align: center;">283.874<br />
</td>
        <td style="text-align: center;">1012.483<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">95\248<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">37 21 37<br />
</td>
        <td style="text-align: center;">728.5715<br />
</td>
        <td style="text-align: center;">1457.143<br />
</td>
        <td style="text-align: center;">283.7595<br />
</td>
        <td style="text-align: center;">1012.331<br />
</td>
        <td style="text-align: center;">Golden BP is index-2 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">18\47<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 4 7<br />
</td>
        <td style="text-align: center;">728.408<br />
</td>
        <td style="text-align: center;">1456.817<br />
</td>
        <td style="text-align: center;">283.27<br />
</td>
        <td style="text-align: center;">1011.678<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><span style="background-color: #ffffff;">√3 1 √3</span><br />
</td>
        <td style="text-align: center;">728.159<br />
</td>
        <td style="text-align: center;">1456.318<br />
</td>
        <td style="text-align: center;">282.522<br />
</td>
        <td style="text-align: center;">1010.6815<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">49\128<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19 11 19<br />
</td>
        <td style="text-align: center;">728.092<br />
</td>
        <td style="text-align: center;">1456.184<br />
</td>
        <td style="text-align: center;">282.321<br />
</td>
        <td style="text-align: center;">1010.413<br />
</td>
        <td style="text-align: center;">4g=27/5 minus third comma near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\81<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">12 7 12<br />
</td>
        <td style="text-align: center;">727.909<br />
</td>
        <td style="text-align: center;">1455.817<br />
</td>
        <td style="text-align: center;">281.771<br />
</td>
        <td style="text-align: center;">1009.68<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13\34<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5 3 5<br />
</td>
        <td style="text-align: center;">727.218<br />
</td>
        <td style="text-align: center;">1454.436<br />
</td>
        <td style="text-align: center;">279.699<br />
</td>
        <td style="text-align: center;">1006.917<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34\89<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 8 13<br />
</td>
        <td style="text-align: center;">726.59<br />
</td>
        <td style="text-align: center;">1453.179<br />
</td>
        <td style="text-align: center;">277.814<br />
</td>
        <td style="text-align: center;">1004.403<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">89\233<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34 21 34<br />
</td>
        <td style="text-align: center;">726.498<br />
</td>
        <td style="text-align: center;">1452.996<br />
</td>
        <td style="text-align: center;">277.538<br />
</td>
        <td style="text-align: center;">1004.036<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">233\610<br />
</td>
        <td style="text-align: center;">89 55 89<br />
</td>
        <td style="text-align: center;">726.4845<br />
</td>
        <td style="text-align: center;">1452.969<br />
</td>
        <td style="text-align: center;">277.4985<br />
</td>
        <td style="text-align: center;">1003.983<br />
</td>
        <td style="text-align: center;">Golden false father<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">144\377<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">55 34 55<br />
</td>
        <td style="text-align: center;">726.476<br />
</td>
        <td style="text-align: center;">1452.952<br />
</td>
        <td style="text-align: center;">277.473<br />
</td>
        <td style="text-align: center;">1003.95<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">55\144<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21 13 21<br />
</td>
        <td style="text-align: center;">726.441<br />
</td>
        <td style="text-align: center;">1452.882<br />
</td>
        <td style="text-align: center;">277.368<br />
</td>
        <td style="text-align: center;">1003.809<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">21\55<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">8 5 8<br />
</td>
        <td style="text-align: center;">726.201<br />
</td>
        <td style="text-align: center;">1452.402<br />
</td>
        <td style="text-align: center;">276.468<br />
</td>
        <td style="text-align: center;">1002.849<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">pi 2 pi<br />
</td>
        <td style="text-align: center;">725.736<br />
</td>
        <td style="text-align: center;">1451.472<br />
</td>
        <td style="text-align: center;">275.252<br />
</td>
        <td style="text-align: center;">1000.988<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">8\21<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">3 2 3<br />
</td>
        <td style="text-align: center;">724.554<br />
</td>
        <td style="text-align: center;">1449.109<br />
</td>
        <td style="text-align: center;">271.708<br />
</td>
        <td style="text-align: center;">996.226<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=3/2) false father<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">~543 361 543<br />
</td>
        <td style="text-align: center;">724.511<br />
</td>
        <td style="text-align: center;">1449.022<br />
</td>
        <td style="text-align: center;">271.579<br />
</td>
        <td style="text-align: center;">996.09<br />
</td>
        <td style="text-align: center;">4g=16/3<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">27\71<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">10 7 10<br />
</td>
        <td style="text-align: center;">723.279<br />
</td>
        <td style="text-align: center;">1446.557<br />
</td>
        <td style="text-align: center;">267.881<br />
</td>
        <td style="text-align: center;">991.16<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">46\121<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17 12 17<br />
</td>
        <td style="text-align: center;">723.057<br />
</td>
        <td style="text-align: center;">1446.115<br />
</td>
        <td style="text-align: center;">267.217<br />
</td>
        <td style="text-align: center;">990.274<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">65\171<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">24 17 24<br />
</td>
        <td style="text-align: center;">722.965<br />
</td>
        <td style="text-align: center;">1445.931<br />
</td>
        <td style="text-align: center;">266.941<br />
</td>
        <td style="text-align: center;">989.907<br />
</td>
        <td style="text-align: center;">3g=7/2 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19\50<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 5 7<br />
</td>
        <td style="text-align: center;">722.743<br />
</td>
        <td style="text-align: center;">1445.486<br />
</td>
        <td style="text-align: center;">266.274<br />
</td>
        <td style="text-align: center;">989.017<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">11\29<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">4 3 4<br />
</td>
        <td style="text-align: center;">721.431<br />
</td>
        <td style="text-align: center;">1442.862<br />
</td>
        <td style="text-align: center;">262.338<br />
</td>
        <td style="text-align: center;">983.77<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">25\66<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 7 9<br />
</td>
        <td style="text-align: center;">720.4375<br />
</td>
        <td style="text-align: center;">1440.875<br />
</td>
        <td style="text-align: center;">259.3575<br />
</td>
        <td style="text-align: center;">979.795<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">64\169<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23 18 23<br />
</td>
        <td style="text-align: center;">720.267<br />
</td>
        <td style="text-align: center;">1440.534<br />
</td>
        <td style="text-align: center;">258.848<br />
</td>
        <td style="text-align: center;">979.113<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">167\441<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">60 47 60<br />
</td>
        <td style="text-align: center;">720.2415<br />
</td>
        <td style="text-align: center;">1440.483<br />
</td>
        <td style="text-align: center;">258.7965<br />
</td>
        <td style="text-align: center;">979.001<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">437\1154<br />
</td>
        <td style="text-align: center;">157 123 157<br />
</td>
        <td style="text-align: center;">720.238<br />
</td>
        <td style="text-align: center;">1440.475<br />
</td>
        <td style="text-align: center;">258.758<br />
</td>
        <td style="text-align: center;">978.996<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">270\713<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">97 76 97<br />
</td>
        <td style="text-align: center;">720.235<br />
</td>
        <td style="text-align: center;">1440.471<br />
</td>
        <td style="text-align: center;">258.751<br />
</td>
        <td style="text-align: center;">978.987<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">103\272<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">37 29 37<br />
</td>
        <td style="text-align: center;">720.226<br />
</td>
        <td style="text-align: center;">1440.451<br />
</td>
        <td style="text-align: center;">258.722<br />
</td>
        <td style="text-align: center;">978.947<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">39\103<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">14 11 14<br />
</td>
        <td style="text-align: center;">720.158<br />
</td>
        <td style="text-align: center;">1440.315<br />
</td>
        <td style="text-align: center;">258.518<br />
</td>
        <td style="text-align: center;">978.676<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">14\37<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5 4 5<br />
</td>
        <td style="text-align: center;">719.659<br />
</td>
        <td style="text-align: center;">1439.317<br />
</td>
        <td style="text-align: center;">257.021<br />
</td>
        <td style="text-align: center;">976.679<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\82<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 9 11<br />
</td>
        <td style="text-align: center;">719.032<br />
</td>
        <td style="text-align: center;">1438.064<br />
</td>
        <td style="text-align: center;">255.14<br />
</td>
        <td style="text-align: center;">974.172<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">79\209<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">28 23 28<br />
</td>
        <td style="text-align: center;">718.921<br />
</td>
        <td style="text-align: center;">1437.842<br />
</td>
        <td style="text-align: center;">254.807<br />
</td>
        <td style="text-align: center;">973.728<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">206\545<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">73 60 73<br />
</td>
        <td style="text-align: center;">718.904<br />
</td>
        <td style="text-align: center;">1437.808<br />
</td>
        <td style="text-align: center;">254.757<br />
</td>
        <td style="text-align: center;">973.661<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">539\1426<br />
</td>
        <td style="text-align: center;">191 117 191<br />
</td>
        <td style="text-align: center;">718.902<br />
</td>
        <td style="text-align: center;">1437.803<br />
</td>
        <td style="text-align: center;">254.75<br />
</td>
        <td style="text-align: center;">973.652<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">333\881<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">118 97 118<br />
</td>
        <td style="text-align: center;">718.90<br />
</td>
        <td style="text-align: center;">1437.80<br />
</td>
        <td style="text-align: center;">254.745<br />
</td>
        <td style="text-align: center;">973.6455<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">127\336<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">45 37 45<br />
</td>
        <td style="text-align: center;">718.893<br />
</td>
        <td style="text-align: center;">1437.787<br />
</td>
        <td style="text-align: center;">254.726<br />
</td>
        <td style="text-align: center;">973.619<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">48\127<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17 14 17<br />
</td>
        <td style="text-align: center;">718.849<br />
</td>
        <td style="text-align: center;">1437.698<br />
</td>
        <td style="text-align: center;">254.592<br />
</td>
        <td style="text-align: center;">973.441<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">17\45<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">6 5 6<br />
</td>
        <td style="text-align: center;">718.516<br />
</td>
        <td style="text-align: center;">1437.032<br />
</td>
        <td style="text-align: center;">253.549<br />
</td>
        <td style="text-align: center;">972.11<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">20\53<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7 6 7<br />
</td>
        <td style="text-align: center;">717.719<br />
</td>
        <td style="text-align: center;">1435.438<br />
</td>
        <td style="text-align: center;">251.202<br />
</td>
        <td style="text-align: center;">968.9205<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">~401 344 401<br />
</td>
        <td style="text-align: center;">717.695<br />
</td>
        <td style="text-align: center;">1435.3905<br />
</td>
        <td style="text-align: center;">251.131<br />
</td>
        <td style="text-align: center;">968.826<br />
</td>
        <td style="text-align: center;">4g=21/4<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">23\61<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">8 7 8<br />
</td>
        <td style="text-align: center;">717.131<br />
</td>
        <td style="text-align: center;">1434.261<br />
</td>
        <td style="text-align: center;">249.437<br />
</td>
        <td style="text-align: center;">966.567<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">~6682 5875 6682<br />
</td>
        <td style="text-align: center;">716.9925<br />
</td>
        <td style="text-align: center;">1433.985<br />
</td>
        <td style="text-align: center;">249.0225<br />
</td>
        <td style="text-align: center;">966.015<br />
</td>
        <td style="text-align: center;">6g=12<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">26\69<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9 8 9<br />
</td>
        <td style="text-align: center;">716.679<br />
</td>
        <td style="text-align: center;">1433.357<br />
</td>
        <td style="text-align: center;">248.081<br />
</td>
        <td style="text-align: center;">964.76<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">29\77<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">10 9 10<br />
</td>
        <td style="text-align: center;">716.321<br />
</td>
        <td style="text-align: center;">1432.641<br />
</td>
        <td style="text-align: center;">247.007<br />
</td>
        <td style="text-align: center;">963.328<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">32\85<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11 10 11<br />
</td>
        <td style="text-align: center;">716.03<br />
</td>
        <td style="text-align: center;">1432.06<br />
</td>
        <td style="text-align: center;">246.135<br />
</td>
        <td style="text-align: center;">962.1655<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">35\93<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">12 11 12<br />
</td>
        <td style="text-align: center;">715.7895<br />
</td>
        <td style="text-align: center;">1431.759<br />
</td>
        <td style="text-align: center;">245.4135<br />
</td>
        <td style="text-align: center;">961.203<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">38/101<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13 12 13<br />
</td>
        <td style="text-align: center;">715.587<br />
</td>
        <td style="text-align: center;">1431.174<br />
</td>
        <td style="text-align: center;">244.806<br />
</td>
        <td style="text-align: center;">960.393<br />
</td>
        <td style="text-align: center;">2g=16\7 near here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3\8<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">1 1 1<br />
</td>
        <td style="text-align: center;">713.233<br />
</td>
        <td style="text-align: center;">1426.466<br />
</td>
        <td style="text-align: center;">237.744<br />
</td>
        <td style="text-align: center;">950.9775<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

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