Mina
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author hearneg and made on 2017-06-11 03:40:52 UTC.
- The original revision id was 614523953.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //mina// is a unit of interval size which has been proposed by [[George Secor]] and [[Dave Keenan]], and which is defined as 1/2460 of an [[octave]], the step size of [[2460edo]]. 2460 is divisible by both 12 and 41, two important systems, and it's been suggested that degrees and minutes can be used to express values in it, so that for instance 3/2, which is 1439 minas, could be denoted by 23°59', meaning very slightly flat of the 24\41 [[41edo]] fifths. This works out since 41 * 60 = 2460; an octave is therefore expressed as if it were an angle of 41 degrees. Below the intervals of the [[27-limit]] [[tonality diamond]] are tabulated, with the sizes listed in both [[cent]]s and minas and expressed as degrees and minutes (rounded to the nearest minute). The value in minas, rounded to the nearest integer, can be found by applying the [[23-limit]] [[patent val]] <2460 3899 5712 6906 8510 9103 10055 10450 11128| for 2460edo; this will not work for [[1200edo]] and cents. ||~ interval ratio ||~ size in cent ||~ size in mina ||~ size as degrees and minutes || || 1 || 0.000 || 0.000 || 0° || || 28/27 || 62.961 || 129.070 || 2°9' || || 27/26 || 65.337 || 133.942 || 2°14' || || 26/25 || 67.900 || 139.195 || 2°19' || || 25/24 || 70.672 || 144.878 || 2°25' || || 24/23 || 73.681 || 151.045 || 2°31' || || 23/22 || 76.956 || 157.761 || 2°38' || || 22/21 || 80.537 || 165.101 || 2°45' || || 21/20 || 84.467 || 173.158 || 2°53' || || 20/19 || 88.801 || 182.041 || 3°2' || || 19/18 || 93.603 || 191.886 || 3°12' || || 18/17 || 98.955 || 202.857 || 3°23' || || 17/16 || 104.955 || 215.159 || 3°35' || || 16/15 || 111.731 || 229.049 || 3°49' || || 15/14 || 119.443 || 244.858 || 4°5' || || 14/13 || 128.298 || 263.011 || 4°23' || || 27/25 || 133.238 || 273.137 || 4°33' || || 13/12 || 138.573 || 284.074 || 4°44' || || 25/23 || 144.353 || 295.924 || 4°56' || || 12/11 || 150.637 || 308.806 || 5°9' || || 23/21 || 157.493 || 322.862 || 5°23' || || 11/10 || 165.004 || 338.259 || 5°38' || || 21/19 || 173.268 || 355.199 || 5°55' || || 10/9 || 182.404 || 373.928 || 6°14' || || 19/17 || 192.558 || 394.743 || 6°35' || || 28/25 || 196.198 || 402.207 || 6°42' || || 9/8 || 203.910 || 418.016 || 6°58' || || 26/23 || 212.253 || 435.119 || 7°15' || || 17/15 || 216.687 || 444.208 || 7°24' || || 25/22 || 221.309 || 453.684 || 7°34' || || 8/7 || 231.174 || 473.907 || 7°54' || || 23/20 || 241.961 || 496.019 || 8°16' || || 15/13 || 247.741 || 507.869 || 8°28' || || 22/19 || 253.805 || 520.300 || 8°40' || || 7/6 || 266.871 || 547.085 || 9°7' || || 27/23 || 277.591 || 569.061 || 9°29' || || 20/17 || 281.358 || 576.785 || 9°37' || || 13/11 || 289.210 || 592.880 || 9°53' || || 32/27 || 294.135 || 602.977 || 10°3' || || 19/16 || 297.513 || 609.902 || 10°10' || || 25/21 || 301.847 || 618.785 || 10°19' || || 6/5 || 315.641 || 647.065 || 10°47' || || 23/19 || 330.761 || 678.061 || 11°18' || || 17/14 || 336.130 || 689.065 || 11°29' || || 28/23 || 340.552 || 698.131 || 11°38' || || 11/9 || 347.408 || 712.186 || 11°52' || || 27/22 || 354.547 || 726.821 || 12°7' || || 16/13 || 359.472 || 736.918 || 12°17' || || 21/17 || 365.825 || 749.942 || 12°30' || || 26/21 || 369.747 || 757.981 || 12°38' || || 5/4 || 386.314 || 791.943 || 13°12' || || 34/27 || 399.090 || 818.135 || 13°38' || || 24/19 || 404.442 || 829.106 || 13°49' || || 19/15 || 409.244 || 838.951 || 13°59' || || 14/11 || 417.508 || 855.891 || 14°15' || || 23/18 || 424.364 || 869.947 || 14°30' || || 32/25 || 427.373 || 876.114 || 14°36' || || 9/7 || 435.084 || 891.922 || 14°52' || || 22/17 || 446.363 || 915.043 || 15°15' || || 13/10 || 454.214 || 931.139 || 15°31' || || 30/23 || 459.994 || 942.988 || 15°43' || || 17/13 || 464.428 || 952.077 || 15°52' || || 21/16 || 470.781 || 965.101 || 16°5' || || 25/19 || 475.114 || 973.985 || 16°14' || || 4/3 || 498.045 || 1020.992 || 17°1' || || 27/20 || 519.551 || 1065.080 || 17°45' || || 23/17 || 523.319 || 1072.804 || 17°53' || || 19/14 || 528.687 || 1083.809 || 18°4' || || 34/25 || 532.328 || 1091.272 || 18°11' || || 15/11 || 536.951 || 1100.749 || 18°21' || || 26/19 || 543.015 || 1113.180 || 18°33' || || 11/8 || 551.318 || 1130.202 || 18°50' || || 18/13 || 563.382 || 1154.934 || 19°15' || || 25/18 || 568.717 || 1165.871 || 19°26' || || 32/23 || 571.726 || 1172.038 || 19°32' || || 7/5 || 582.512 || 1194.150 || 19°54' || || 38/27 || 591.648 || 1212.878 || 20°13' || || 24/17 || 597.000 || 1223.849 || 20°24' || || 17/12 || 603.000 || 1236.151 || 20°36' || || 27/19 || 608.352 || 1247.122 || 20°47' || || 10/7 || 617.488 || 1265.850 || 21°6' || || 23/16 || 628.274 || 1287.962 || 21°28' || || 36/25 || 631.283 || 1294.129 || 21°34' || || 13/9 || 636.618 || 1305.066 || 21°45' || || 16/11 || 648.682 || 1329.798 || 22°10' || || 19/13 || 656.985 || 1346.820 || 22°27' || || 22/15 || 663.049 || 1359.251 || 22°39' || || 25/17 || 667.672 || 1368.728 || 22°49' || || 28/19 || 671.313 || 1376.191 || 22°56' || || 34/23 || 676.681 || 1387.196 || 23°7' || || 40/27 || 680.449 || 1394.920 || 23°15' || || 3/2 || 701.955 || 1439.008 || 23°59' || || 38/25 || 724.886 || 1486.015 || 24°46' || || 32/21 || 729.219 || 1494.899 || 24°55' || || 26/17 || 735.572 || 1507.923 || 25°8' || || 23/15 || 740.006 || 1517.012 || 25°17' || || 20/13 || 745.786 || 1528.861 || 25°29' || || 17/11 || 753.637 || 1544.957 || 25°45' || || 14/9 || 764.916 || 1568.078 || 26°8' || || 25/16 || 772.627 || 1583.886 || 26°24' || || 36/23 || 775.636 || 1590.053 || 26°30' || || 11/7 || 782.492 || 1604.109 || 26°44' || || 30/19 || 790.756 || 1621.049 || 27°1' || || 19/12 || 795.558 || 1630.894 || 27°11' || || 27/17 || 800.910 || 1641.865 || 27°22' || || 8/5 || 813.686 || 1668.057 || 27°48' || || 21/13 || 830.253 || 1702.019 || 28°22' || || 34/21 || 834.175 || 1710.058 || 28°30' || || 13/8 || 840.528 || 1723.082 || 28°43' || || 44/27 || 845.453 || 1733.179 || 28°53' || || 18/11 || 852.592 || 1747.814 || 29°8' || || 23/14 || 859.448 || 1761.869 || 29°22' || || 28/17 || 863.870 || 1770.935 || 29°31' || || 38/23 || 869.239 || 1781.939 || 29°42' || || 5/3 || 884.359 || 1812.935 || 30°13' || || 42/25 || 898.153 || 1841.215 || 30°41' || || 32/19 || 902.487 || 1850.098 || 30°50' || || 27/16 || 905.865 || 1857.023 || 30°57' || || 22/13 || 910.790 || 1867.120 || 31°7' || || 17/10 || 918.642 || 1883.215 || 31°23' || || 46/27 || 922.409 || 1890.939 || 31°31' || || 12/7 || 933.129 || 1912.915 || 31°53' || || 19/11 || 946.195 || 1939.700 || 32°20' || || 26/15 || 952.259 || 1952.131 || 32°32' || || 40/23 || 958.039 || 1963.981 || 32°44' || || 7/4 || 968.826 || 1986.093 || 33°6' || || 44/25 || 978.691 || 2006.316 || 33°26' || || 30/17 || 983.313 || 2015.792 || 33°36' || || 23/13 || 987.747 || 2024.881 || 33°45' || || 16/9 || 996.090 || 2041.984 || 34°2' || || 25/14 || 1003.802 || 2057.793 || 34°18' || || 34/19 || 1007.442 || 2065.257 || 34°25' || || 9/5 || 1017.596 || 2086.072 || 34°46' || || 38/21 || 1026.732 || 2104.801 || 35°4' || || 20/11 || 1034.996 || 2121.741 || 35°22' || || 42/23 || 1042.507 || 2137.138 || 35°37' || || 11/6 || 1049.363 || 2151.194 || 35°51' || || 46/25 || 1055.647 || 2164.076 || 36°4' || || 24/13 || 1061.427 || 2175.926 || 35°16' || || 50/27 || 1066.762 || 2186.863 || 35°27' || || 13/7 || 1071.702 || 2196.989 || 35°37' || || 28/15 || 1080.557 || 2215.142 || 35°55' || || 15/8 || 1088.269 || 2230.951 || 36°11' || || 32/17 || 1095.045 || 2244.841 || 36°23' || || 17/9 || 1101.045 || 2257.143 || 36°37' || || 36/19 || 1106.397 || 2268.114 || 36°48' || || 19/10 || 1111.199 || 2277.959 || 36°58' || || 40/21 || 1115.533 || 2286.842 || 37°7' || || 21/11 || 1119.463 || 2294.899 || 37°15' || || 44/23 || 1123.044 || 2302.239 || 37°22' || || 23/12 || 1126.319 || 2308.955 || 37°29' || || 48/25 || 1129.328 || 2315.122 || 37°35' || || 25/13 || 1132.100 || 2320.805 || 37°41' || || 52/27 || 1134.663 || 2326.058 || 37°46' || || 27/14 || 1137.039 || 2330.930 || 37°51' || || 2 || 1200.000 || 2460.000 || 41° ||
Original HTML content:
<html><head><title>mina</title></head><body>The <em>mina</em> is a unit of interval size which has been proposed by <a class="wiki_link" href="/George%20Secor">George Secor</a> and <a class="wiki_link" href="/Dave%20Keenan">Dave Keenan</a>, and which is defined as 1/2460 of an <a class="wiki_link" href="/octave">octave</a>, the step size of <a class="wiki_link" href="/2460edo">2460edo</a>. 2460 is divisible by both 12 and 41, two important systems, and it's been suggested that degrees and minutes can be used to express values in it, so that for instance 3/2, which is 1439 minas, could be denoted by 23°59', meaning very slightly flat of the 24\41 <a class="wiki_link" href="/41edo">41edo</a> fifths. This works out since 41 * 60 = 2460; an octave is therefore expressed as if it were an angle of 41 degrees.<br />
<br />
Below the intervals of the <a class="wiki_link" href="/27-limit">27-limit</a> <a class="wiki_link" href="/tonality%20diamond">tonality diamond</a> are tabulated, with the sizes listed in both <a class="wiki_link" href="/cent">cent</a>s and minas and expressed as degrees and minutes (rounded to the nearest minute). The value in minas, rounded to the nearest integer, can be found by applying the <a class="wiki_link" href="/23-limit">23-limit</a> <a class="wiki_link" href="/patent%20val">patent val</a> <2460 3899 5712 6906 8510 9103 10055 10450 11128| for 2460edo; this will not work for <a class="wiki_link" href="/1200edo">1200edo</a> and cents.<br />
<table class="wiki_table">
<tr>
<th>interval<br />
ratio<br />
</th>
<th>size<br />
in cent<br />
</th>
<th>size<br />
in mina<br />
</th>
<th>size as degrees<br />
and minutes<br />
</th>
</tr>
<tr>
<td>1<br />
</td>
<td>0.000<br />
</td>
<td>0.000<br />
</td>
<td>0°<br />
</td>
</tr>
<tr>
<td>28/27<br />
</td>
<td>62.961<br />
</td>
<td>129.070<br />
</td>
<td>2°9'<br />
</td>
</tr>
<tr>
<td>27/26<br />
</td>
<td>65.337<br />
</td>
<td>133.942<br />
</td>
<td>2°14'<br />
</td>
</tr>
<tr>
<td>26/25<br />
</td>
<td>67.900<br />
</td>
<td>139.195<br />
</td>
<td>2°19'<br />
</td>
</tr>
<tr>
<td>25/24<br />
</td>
<td>70.672<br />
</td>
<td>144.878<br />
</td>
<td>2°25'<br />
</td>
</tr>
<tr>
<td>24/23<br />
</td>
<td>73.681<br />
</td>
<td>151.045<br />
</td>
<td>2°31'<br />
</td>
</tr>
<tr>
<td>23/22<br />
</td>
<td>76.956<br />
</td>
<td>157.761<br />
</td>
<td>2°38'<br />
</td>
</tr>
<tr>
<td>22/21<br />
</td>
<td>80.537<br />
</td>
<td>165.101<br />
</td>
<td>2°45'<br />
</td>
</tr>
<tr>
<td>21/20<br />
</td>
<td>84.467<br />
</td>
<td>173.158<br />
</td>
<td>2°53'<br />
</td>
</tr>
<tr>
<td>20/19<br />
</td>
<td>88.801<br />
</td>
<td>182.041<br />
</td>
<td>3°2'<br />
</td>
</tr>
<tr>
<td>19/18<br />
</td>
<td>93.603<br />
</td>
<td>191.886<br />
</td>
<td>3°12'<br />
</td>
</tr>
<tr>
<td>18/17<br />
</td>
<td>98.955<br />
</td>
<td>202.857<br />
</td>
<td>3°23'<br />
</td>
</tr>
<tr>
<td>17/16<br />
</td>
<td>104.955<br />
</td>
<td>215.159<br />
</td>
<td>3°35'<br />
</td>
</tr>
<tr>
<td>16/15<br />
</td>
<td>111.731<br />
</td>
<td>229.049<br />
</td>
<td>3°49'<br />
</td>
</tr>
<tr>
<td>15/14<br />
</td>
<td>119.443<br />
</td>
<td>244.858<br />
</td>
<td>4°5'<br />
</td>
</tr>
<tr>
<td>14/13<br />
</td>
<td>128.298<br />
</td>
<td>263.011<br />
</td>
<td>4°23'<br />
</td>
</tr>
<tr>
<td>27/25<br />
</td>
<td>133.238<br />
</td>
<td>273.137<br />
</td>
<td>4°33'<br />
</td>
</tr>
<tr>
<td>13/12<br />
</td>
<td>138.573<br />
</td>
<td>284.074<br />
</td>
<td>4°44'<br />
</td>
</tr>
<tr>
<td>25/23<br />
</td>
<td>144.353<br />
</td>
<td>295.924<br />
</td>
<td>4°56'<br />
</td>
</tr>
<tr>
<td>12/11<br />
</td>
<td>150.637<br />
</td>
<td>308.806<br />
</td>
<td>5°9'<br />
</td>
</tr>
<tr>
<td>23/21<br />
</td>
<td>157.493<br />
</td>
<td>322.862<br />
</td>
<td>5°23'<br />
</td>
</tr>
<tr>
<td>11/10<br />
</td>
<td>165.004<br />
</td>
<td>338.259<br />
</td>
<td>5°38'<br />
</td>
</tr>
<tr>
<td>21/19<br />
</td>
<td>173.268<br />
</td>
<td>355.199<br />
</td>
<td>5°55'<br />
</td>
</tr>
<tr>
<td>10/9<br />
</td>
<td>182.404<br />
</td>
<td>373.928<br />
</td>
<td>6°14'<br />
</td>
</tr>
<tr>
<td>19/17<br />
</td>
<td>192.558<br />
</td>
<td>394.743<br />
</td>
<td>6°35'<br />
</td>
</tr>
<tr>
<td>28/25<br />
</td>
<td>196.198<br />
</td>
<td>402.207<br />
</td>
<td>6°42'<br />
</td>
</tr>
<tr>
<td>9/8<br />
</td>
<td>203.910<br />
</td>
<td>418.016<br />
</td>
<td>6°58'<br />
</td>
</tr>
<tr>
<td>26/23<br />
</td>
<td>212.253<br />
</td>
<td>435.119<br />
</td>
<td>7°15'<br />
</td>
</tr>
<tr>
<td>17/15<br />
</td>
<td>216.687<br />
</td>
<td>444.208<br />
</td>
<td>7°24'<br />
</td>
</tr>
<tr>
<td>25/22<br />
</td>
<td>221.309<br />
</td>
<td>453.684<br />
</td>
<td>7°34'<br />
</td>
</tr>
<tr>
<td>8/7<br />
</td>
<td>231.174<br />
</td>
<td>473.907<br />
</td>
<td>7°54'<br />
</td>
</tr>
<tr>
<td>23/20<br />
</td>
<td>241.961<br />
</td>
<td>496.019<br />
</td>
<td>8°16'<br />
</td>
</tr>
<tr>
<td>15/13<br />
</td>
<td>247.741<br />
</td>
<td>507.869<br />
</td>
<td>8°28'<br />
</td>
</tr>
<tr>
<td>22/19<br />
</td>
<td>253.805<br />
</td>
<td>520.300<br />
</td>
<td>8°40'<br />
</td>
</tr>
<tr>
<td>7/6<br />
</td>
<td>266.871<br />
</td>
<td>547.085<br />
</td>
<td>9°7'<br />
</td>
</tr>
<tr>
<td>27/23<br />
</td>
<td>277.591<br />
</td>
<td>569.061<br />
</td>
<td>9°29'<br />
</td>
</tr>
<tr>
<td>20/17<br />
</td>
<td>281.358<br />
</td>
<td>576.785<br />
</td>
<td>9°37'<br />
</td>
</tr>
<tr>
<td>13/11<br />
</td>
<td>289.210<br />
</td>
<td>592.880<br />
</td>
<td>9°53'<br />
</td>
</tr>
<tr>
<td>32/27<br />
</td>
<td>294.135<br />
</td>
<td>602.977<br />
</td>
<td>10°3'<br />
</td>
</tr>
<tr>
<td>19/16<br />
</td>
<td>297.513<br />
</td>
<td>609.902<br />
</td>
<td>10°10'<br />
</td>
</tr>
<tr>
<td>25/21<br />
</td>
<td>301.847<br />
</td>
<td>618.785<br />
</td>
<td>10°19'<br />
</td>
</tr>
<tr>
<td>6/5<br />
</td>
<td>315.641<br />
</td>
<td>647.065<br />
</td>
<td>10°47'<br />
</td>
</tr>
<tr>
<td>23/19<br />
</td>
<td>330.761<br />
</td>
<td>678.061<br />
</td>
<td>11°18'<br />
</td>
</tr>
<tr>
<td>17/14<br />
</td>
<td>336.130<br />
</td>
<td>689.065<br />
</td>
<td>11°29'<br />
</td>
</tr>
<tr>
<td>28/23<br />
</td>
<td>340.552<br />
</td>
<td>698.131<br />
</td>
<td>11°38'<br />
</td>
</tr>
<tr>
<td>11/9<br />
</td>
<td>347.408<br />
</td>
<td>712.186<br />
</td>
<td>11°52'<br />
</td>
</tr>
<tr>
<td>27/22<br />
</td>
<td>354.547<br />
</td>
<td>726.821<br />
</td>
<td>12°7'<br />
</td>
</tr>
<tr>
<td>16/13<br />
</td>
<td>359.472<br />
</td>
<td>736.918<br />
</td>
<td>12°17'<br />
</td>
</tr>
<tr>
<td>21/17<br />
</td>
<td>365.825<br />
</td>
<td>749.942<br />
</td>
<td>12°30'<br />
</td>
</tr>
<tr>
<td>26/21<br />
</td>
<td>369.747<br />
</td>
<td>757.981<br />
</td>
<td>12°38'<br />
</td>
</tr>
<tr>
<td>5/4<br />
</td>
<td>386.314<br />
</td>
<td>791.943<br />
</td>
<td>13°12'<br />
</td>
</tr>
<tr>
<td>34/27<br />
</td>
<td>399.090<br />
</td>
<td>818.135<br />
</td>
<td>13°38'<br />
</td>
</tr>
<tr>
<td>24/19<br />
</td>
<td>404.442<br />
</td>
<td>829.106<br />
</td>
<td>13°49'<br />
</td>
</tr>
<tr>
<td>19/15<br />
</td>
<td>409.244<br />
</td>
<td>838.951<br />
</td>
<td>13°59'<br />
</td>
</tr>
<tr>
<td>14/11<br />
</td>
<td>417.508<br />
</td>
<td>855.891<br />
</td>
<td>14°15'<br />
</td>
</tr>
<tr>
<td>23/18<br />
</td>
<td>424.364<br />
</td>
<td>869.947<br />
</td>
<td>14°30'<br />
</td>
</tr>
<tr>
<td>32/25<br />
</td>
<td>427.373<br />
</td>
<td>876.114<br />
</td>
<td>14°36'<br />
</td>
</tr>
<tr>
<td>9/7<br />
</td>
<td>435.084<br />
</td>
<td>891.922<br />
</td>
<td>14°52'<br />
</td>
</tr>
<tr>
<td>22/17<br />
</td>
<td>446.363<br />
</td>
<td>915.043<br />
</td>
<td>15°15'<br />
</td>
</tr>
<tr>
<td>13/10<br />
</td>
<td>454.214<br />
</td>
<td>931.139<br />
</td>
<td>15°31'<br />
</td>
</tr>
<tr>
<td>30/23<br />
</td>
<td>459.994<br />
</td>
<td>942.988<br />
</td>
<td>15°43'<br />
</td>
</tr>
<tr>
<td>17/13<br />
</td>
<td>464.428<br />
</td>
<td>952.077<br />
</td>
<td>15°52'<br />
</td>
</tr>
<tr>
<td>21/16<br />
</td>
<td>470.781<br />
</td>
<td>965.101<br />
</td>
<td>16°5'<br />
</td>
</tr>
<tr>
<td>25/19<br />
</td>
<td>475.114<br />
</td>
<td>973.985<br />
</td>
<td>16°14'<br />
</td>
</tr>
<tr>
<td>4/3<br />
</td>
<td>498.045<br />
</td>
<td>1020.992<br />
</td>
<td>17°1'<br />
</td>
</tr>
<tr>
<td>27/20<br />
</td>
<td>519.551<br />
</td>
<td>1065.080<br />
</td>
<td>17°45'<br />
</td>
</tr>
<tr>
<td>23/17<br />
</td>
<td>523.319<br />
</td>
<td>1072.804<br />
</td>
<td>17°53'<br />
</td>
</tr>
<tr>
<td>19/14<br />
</td>
<td>528.687<br />
</td>
<td>1083.809<br />
</td>
<td>18°4'<br />
</td>
</tr>
<tr>
<td>34/25<br />
</td>
<td>532.328<br />
</td>
<td>1091.272<br />
</td>
<td>18°11'<br />
</td>
</tr>
<tr>
<td>15/11<br />
</td>
<td>536.951<br />
</td>
<td>1100.749<br />
</td>
<td>18°21'<br />
</td>
</tr>
<tr>
<td>26/19<br />
</td>
<td>543.015<br />
</td>
<td>1113.180<br />
</td>
<td>18°33'<br />
</td>
</tr>
<tr>
<td>11/8<br />
</td>
<td>551.318<br />
</td>
<td>1130.202<br />
</td>
<td>18°50'<br />
</td>
</tr>
<tr>
<td>18/13<br />
</td>
<td>563.382<br />
</td>
<td>1154.934<br />
</td>
<td>19°15'<br />
</td>
</tr>
<tr>
<td>25/18<br />
</td>
<td>568.717<br />
</td>
<td>1165.871<br />
</td>
<td>19°26'<br />
</td>
</tr>
<tr>
<td>32/23<br />
</td>
<td>571.726<br />
</td>
<td>1172.038<br />
</td>
<td>19°32'<br />
</td>
</tr>
<tr>
<td>7/5<br />
</td>
<td>582.512<br />
</td>
<td>1194.150<br />
</td>
<td>19°54'<br />
</td>
</tr>
<tr>
<td>38/27<br />
</td>
<td>591.648<br />
</td>
<td>1212.878<br />
</td>
<td>20°13'<br />
</td>
</tr>
<tr>
<td>24/17<br />
</td>
<td>597.000<br />
</td>
<td>1223.849<br />
</td>
<td>20°24'<br />
</td>
</tr>
<tr>
<td>17/12<br />
</td>
<td>603.000<br />
</td>
<td>1236.151<br />
</td>
<td>20°36'<br />
</td>
</tr>
<tr>
<td>27/19<br />
</td>
<td>608.352<br />
</td>
<td>1247.122<br />
</td>
<td>20°47'<br />
</td>
</tr>
<tr>
<td>10/7<br />
</td>
<td>617.488<br />
</td>
<td>1265.850<br />
</td>
<td>21°6'<br />
</td>
</tr>
<tr>
<td>23/16<br />
</td>
<td>628.274<br />
</td>
<td>1287.962<br />
</td>
<td>21°28'<br />
</td>
</tr>
<tr>
<td>36/25<br />
</td>
<td>631.283<br />
</td>
<td>1294.129<br />
</td>
<td>21°34'<br />
</td>
</tr>
<tr>
<td>13/9<br />
</td>
<td>636.618<br />
</td>
<td>1305.066<br />
</td>
<td>21°45'<br />
</td>
</tr>
<tr>
<td>16/11<br />
</td>
<td>648.682<br />
</td>
<td>1329.798<br />
</td>
<td>22°10'<br />
</td>
</tr>
<tr>
<td>19/13<br />
</td>
<td>656.985<br />
</td>
<td>1346.820<br />
</td>
<td>22°27'<br />
</td>
</tr>
<tr>
<td>22/15<br />
</td>
<td>663.049<br />
</td>
<td>1359.251<br />
</td>
<td>22°39'<br />
</td>
</tr>
<tr>
<td>25/17<br />
</td>
<td>667.672<br />
</td>
<td>1368.728<br />
</td>
<td>22°49'<br />
</td>
</tr>
<tr>
<td>28/19<br />
</td>
<td>671.313<br />
</td>
<td>1376.191<br />
</td>
<td>22°56'<br />
</td>
</tr>
<tr>
<td>34/23<br />
</td>
<td>676.681<br />
</td>
<td>1387.196<br />
</td>
<td>23°7'<br />
</td>
</tr>
<tr>
<td>40/27<br />
</td>
<td>680.449<br />
</td>
<td>1394.920<br />
</td>
<td>23°15'<br />
</td>
</tr>
<tr>
<td>3/2<br />
</td>
<td>701.955<br />
</td>
<td>1439.008<br />
</td>
<td>23°59'<br />
</td>
</tr>
<tr>
<td>38/25<br />
</td>
<td>724.886<br />
</td>
<td>1486.015<br />
</td>
<td>24°46'<br />
</td>
</tr>
<tr>
<td>32/21<br />
</td>
<td>729.219<br />
</td>
<td>1494.899<br />
</td>
<td>24°55'<br />
</td>
</tr>
<tr>
<td>26/17<br />
</td>
<td>735.572<br />
</td>
<td>1507.923<br />
</td>
<td>25°8'<br />
</td>
</tr>
<tr>
<td>23/15<br />
</td>
<td>740.006<br />
</td>
<td>1517.012<br />
</td>
<td>25°17'<br />
</td>
</tr>
<tr>
<td>20/13<br />
</td>
<td>745.786<br />
</td>
<td>1528.861<br />
</td>
<td>25°29'<br />
</td>
</tr>
<tr>
<td>17/11<br />
</td>
<td>753.637<br />
</td>
<td>1544.957<br />
</td>
<td>25°45'<br />
</td>
</tr>
<tr>
<td>14/9<br />
</td>
<td>764.916<br />
</td>
<td>1568.078<br />
</td>
<td>26°8'<br />
</td>
</tr>
<tr>
<td>25/16<br />
</td>
<td>772.627<br />
</td>
<td>1583.886<br />
</td>
<td>26°24'<br />
</td>
</tr>
<tr>
<td>36/23<br />
</td>
<td>775.636<br />
</td>
<td>1590.053<br />
</td>
<td>26°30'<br />
</td>
</tr>
<tr>
<td>11/7<br />
</td>
<td>782.492<br />
</td>
<td>1604.109<br />
</td>
<td>26°44'<br />
</td>
</tr>
<tr>
<td>30/19<br />
</td>
<td>790.756<br />
</td>
<td>1621.049<br />
</td>
<td>27°1'<br />
</td>
</tr>
<tr>
<td>19/12<br />
</td>
<td>795.558<br />
</td>
<td>1630.894<br />
</td>
<td>27°11'<br />
</td>
</tr>
<tr>
<td>27/17<br />
</td>
<td>800.910<br />
</td>
<td>1641.865<br />
</td>
<td>27°22'<br />
</td>
</tr>
<tr>
<td>8/5<br />
</td>
<td>813.686<br />
</td>
<td>1668.057<br />
</td>
<td>27°48'<br />
</td>
</tr>
<tr>
<td>21/13<br />
</td>
<td>830.253<br />
</td>
<td>1702.019<br />
</td>
<td>28°22'<br />
</td>
</tr>
<tr>
<td>34/21<br />
</td>
<td>834.175<br />
</td>
<td>1710.058<br />
</td>
<td>28°30'<br />
</td>
</tr>
<tr>
<td>13/8<br />
</td>
<td>840.528<br />
</td>
<td>1723.082<br />
</td>
<td>28°43'<br />
</td>
</tr>
<tr>
<td>44/27<br />
</td>
<td>845.453<br />
</td>
<td>1733.179<br />
</td>
<td>28°53'<br />
</td>
</tr>
<tr>
<td>18/11<br />
</td>
<td>852.592<br />
</td>
<td>1747.814<br />
</td>
<td>29°8'<br />
</td>
</tr>
<tr>
<td>23/14<br />
</td>
<td>859.448<br />
</td>
<td>1761.869<br />
</td>
<td>29°22'<br />
</td>
</tr>
<tr>
<td>28/17<br />
</td>
<td>863.870<br />
</td>
<td>1770.935<br />
</td>
<td>29°31'<br />
</td>
</tr>
<tr>
<td>38/23<br />
</td>
<td>869.239<br />
</td>
<td>1781.939<br />
</td>
<td>29°42'<br />
</td>
</tr>
<tr>
<td>5/3<br />
</td>
<td>884.359<br />
</td>
<td>1812.935<br />
</td>
<td>30°13'<br />
</td>
</tr>
<tr>
<td>42/25<br />
</td>
<td>898.153<br />
</td>
<td>1841.215<br />
</td>
<td>30°41'<br />
</td>
</tr>
<tr>
<td>32/19<br />
</td>
<td>902.487<br />
</td>
<td>1850.098<br />
</td>
<td>30°50'<br />
</td>
</tr>
<tr>
<td>27/16<br />
</td>
<td>905.865<br />
</td>
<td>1857.023<br />
</td>
<td>30°57'<br />
</td>
</tr>
<tr>
<td>22/13<br />
</td>
<td>910.790<br />
</td>
<td>1867.120<br />
</td>
<td>31°7'<br />
</td>
</tr>
<tr>
<td>17/10<br />
</td>
<td>918.642<br />
</td>
<td>1883.215<br />
</td>
<td>31°23'<br />
</td>
</tr>
<tr>
<td>46/27<br />
</td>
<td>922.409<br />
</td>
<td>1890.939<br />
</td>
<td>31°31'<br />
</td>
</tr>
<tr>
<td>12/7<br />
</td>
<td>933.129<br />
</td>
<td>1912.915<br />
</td>
<td>31°53'<br />
</td>
</tr>
<tr>
<td>19/11<br />
</td>
<td>946.195<br />
</td>
<td>1939.700<br />
</td>
<td>32°20'<br />
</td>
</tr>
<tr>
<td>26/15<br />
</td>
<td>952.259<br />
</td>
<td>1952.131<br />
</td>
<td>32°32'<br />
</td>
</tr>
<tr>
<td>40/23<br />
</td>
<td>958.039<br />
</td>
<td>1963.981<br />
</td>
<td>32°44'<br />
</td>
</tr>
<tr>
<td>7/4<br />
</td>
<td>968.826<br />
</td>
<td>1986.093<br />
</td>
<td>33°6'<br />
</td>
</tr>
<tr>
<td>44/25<br />
</td>
<td>978.691<br />
</td>
<td>2006.316<br />
</td>
<td>33°26'<br />
</td>
</tr>
<tr>
<td>30/17<br />
</td>
<td>983.313<br />
</td>
<td>2015.792<br />
</td>
<td>33°36'<br />
</td>
</tr>
<tr>
<td>23/13<br />
</td>
<td>987.747<br />
</td>
<td>2024.881<br />
</td>
<td>33°45'<br />
</td>
</tr>
<tr>
<td>16/9<br />
</td>
<td>996.090<br />
</td>
<td>2041.984<br />
</td>
<td>34°2'<br />
</td>
</tr>
<tr>
<td>25/14<br />
</td>
<td>1003.802<br />
</td>
<td>2057.793<br />
</td>
<td>34°18'<br />
</td>
</tr>
<tr>
<td>34/19<br />
</td>
<td>1007.442<br />
</td>
<td>2065.257<br />
</td>
<td>34°25'<br />
</td>
</tr>
<tr>
<td>9/5<br />
</td>
<td>1017.596<br />
</td>
<td>2086.072<br />
</td>
<td>34°46'<br />
</td>
</tr>
<tr>
<td>38/21<br />
</td>
<td>1026.732<br />
</td>
<td>2104.801<br />
</td>
<td>35°4'<br />
</td>
</tr>
<tr>
<td>20/11<br />
</td>
<td>1034.996<br />
</td>
<td>2121.741<br />
</td>
<td>35°22'<br />
</td>
</tr>
<tr>
<td>42/23<br />
</td>
<td>1042.507<br />
</td>
<td>2137.138<br />
</td>
<td>35°37'<br />
</td>
</tr>
<tr>
<td>11/6<br />
</td>
<td>1049.363<br />
</td>
<td>2151.194<br />
</td>
<td>35°51'<br />
</td>
</tr>
<tr>
<td>46/25<br />
</td>
<td>1055.647<br />
</td>
<td>2164.076<br />
</td>
<td>36°4'<br />
</td>
</tr>
<tr>
<td>24/13<br />
</td>
<td>1061.427<br />
</td>
<td>2175.926<br />
</td>
<td>35°16'<br />
</td>
</tr>
<tr>
<td>50/27<br />
</td>
<td>1066.762<br />
</td>
<td>2186.863<br />
</td>
<td>35°27'<br />
</td>
</tr>
<tr>
<td>13/7<br />
</td>
<td>1071.702<br />
</td>
<td>2196.989<br />
</td>
<td>35°37'<br />
</td>
</tr>
<tr>
<td>28/15<br />
</td>
<td>1080.557<br />
</td>
<td>2215.142<br />
</td>
<td>35°55'<br />
</td>
</tr>
<tr>
<td>15/8<br />
</td>
<td>1088.269<br />
</td>
<td>2230.951<br />
</td>
<td>36°11'<br />
</td>
</tr>
<tr>
<td>32/17<br />
</td>
<td>1095.045<br />
</td>
<td>2244.841<br />
</td>
<td>36°23'<br />
</td>
</tr>
<tr>
<td>17/9<br />
</td>
<td>1101.045<br />
</td>
<td>2257.143<br />
</td>
<td>36°37'<br />
</td>
</tr>
<tr>
<td>36/19<br />
</td>
<td>1106.397<br />
</td>
<td>2268.114<br />
</td>
<td>36°48'<br />
</td>
</tr>
<tr>
<td>19/10<br />
</td>
<td>1111.199<br />
</td>
<td>2277.959<br />
</td>
<td>36°58'<br />
</td>
</tr>
<tr>
<td>40/21<br />
</td>
<td>1115.533<br />
</td>
<td>2286.842<br />
</td>
<td>37°7'<br />
</td>
</tr>
<tr>
<td>21/11<br />
</td>
<td>1119.463<br />
</td>
<td>2294.899<br />
</td>
<td>37°15'<br />
</td>
</tr>
<tr>
<td>44/23<br />
</td>
<td>1123.044<br />
</td>
<td>2302.239<br />
</td>
<td>37°22'<br />
</td>
</tr>
<tr>
<td>23/12<br />
</td>
<td>1126.319<br />
</td>
<td>2308.955<br />
</td>
<td>37°29'<br />
</td>
</tr>
<tr>
<td>48/25<br />
</td>
<td>1129.328<br />
</td>
<td>2315.122<br />
</td>
<td>37°35'<br />
</td>
</tr>
<tr>
<td>25/13<br />
</td>
<td>1132.100<br />
</td>
<td>2320.805<br />
</td>
<td>37°41'<br />
</td>
</tr>
<tr>
<td>52/27<br />
</td>
<td>1134.663<br />
</td>
<td>2326.058<br />
</td>
<td>37°46'<br />
</td>
</tr>
<tr>
<td>27/14<br />
</td>
<td>1137.039<br />
</td>
<td>2330.930<br />
</td>
<td>37°51'<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>1200.000<br />
</td>
<td>2460.000<br />
</td>
<td>41°<br />
</td>
</tr>
</table>
</body></html>