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Middle Path table of 5-limit rank-2 temperaments

Revision as of 22:19, 14 October 2011 by Wikispaces>keenanpepper (**Imported revision 264957616 - Original comment: **)

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|| Vanishing Interval's Ratio || V.I. Vector || V.I. cents || Horagram name || TOP per. || TOP gen. || Mapp. of 2 || Mapp. of 3 || Mapp. of 5 ||
|| TWO EXOTEMPERAMENTS: ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 15:16 || [4, -1, -1> || 111.7 || [[Father]] || 1185.9 || 447.4 || 1, 0 || 2, -1 || 2, 1 ||
|| 27:25 || [0, 3, -2> || 133.2 || [[Bug]] || 1200.0 || 260.3 || 1, 0 || 2, -2 || 3, -3 ||
|| MAIN SEQUENCE ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 25:24 || [-3, -1, 2> || 70.7 || [[Dicot]] || 1207.66 || 353.22 || 1, 0 || 1, 2 || 2, 1 ||
|| 81:80 || [-4, 4, -1> || 21.5 || [[Meantone]] || 1201.70 || 504.13 || 1, 0 || 2, -1 || 4, -4 ||
|| 128:125 || [7, 0, -3> || 41.1 || [[Augmented]] || 399.02 || 93.15 || 3, 0 || 5, -1 || 7, 0 ||
|| 135:128 || [-7, 3, 1> || 92.2 || [[Mavila]] || 1206.55 || 685.03 || 1, 0 || 2, -1 || 1, 3 ||
|| 250:243 || [1, -5, 3> || 49.2 || [[Porcupine]] || 1196.91 || 1034.59 || 1, 0 || 2, -3 || 3, -5 ||
|| 256:243 || [8, -5, 0> || 90.2 || [[Blackwood]] || 238.87 || 158.78 || 5, 0 || 8, 0 || 12, -1 ||
|| 648:625 || [3, 4, -4> || 62.6 || [[Dimipent]] || 299.16 || 197.49 || 4, 0 || 6, 1 || 9, 1 ||
|| 2048:2025 || [11, -4, -2> || 19.6 || [[Srutal]] || 599.56 || 494.86 || 2, 0 || 3, 1 || 5, -2 ||
|| 3125:3072 || [-10, -1, 5> || 29.6 || [[Magic]] || 1201.28 || 380.80 || 1, 0 || 0, 5 || 2, 1 ||
|| 6561:6250 || [-1, 8, -5> || 84.1 || [[Ripple]] || 1203.32 || 101.99 || 1, 0 || 2, -5 || 3, -8 ||
|| 15625:15552 || [-6, -5, 6> || 8.11 || [[Hanson]] || 1200.29 || 317.07 || 1, 0 || 0, 6 || 1, 5 ||
|| 16875:16384 || [-14, 3, 4> || 51.1 || [[Negripent]] || 1201.82 || 1075.68 || 1, 0 || 2, -4 || 2, 3 ||
|| 20000:19683 || [5, -9, 4> || 27.7 || [[Tetracot]] || 1199.03 || 176.11 || 1, 0 || 1, 4 || 1, 9 ||
|| 20480:19683 || [12, -9, 1> || 68.7 || [[Superpyth]] || 1197.60 || 708.17 || 1, 0 || 2, -1 || 6, -9 ||
|| 32805:32768 || [-15, 8, 1> || 1.95 || [[Helmholtz]] || 1200.07 || 701.79 || 1, 0 || 2, -1 || -1, 8 ||
|| 78732:78125 ||   ||   || [[Sensipent]] || 1199.59 || 756.60 || 1, 0 ||   ||   ||
|| 262144:253125 ||   ||   || [[Passion]] || 1198.31 || 98.40 || 1, 0 ||   ||   ||
|| 393216:390625 ||   ||   || [[Würschmidt]] || 1199.69 || 812.05 || 1, 0 ||   ||   ||
|| 531441:524288 ||   ||   || [[Compton]] || 100.05 || 15.13 || 12, 0 ||   ||   ||
|| 1600000:1594323 ||   ||   || [[Amity]] || 1199.85 || 860.38 || 1, 0 ||   ||   ||
|| 2109375:2097152 ||   ||   || [[Orson]] || 1200.24 || 271.65 || 1, 0 ||   ||   ||
|| TWO BONUS TEMPS ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 6115295232:6103515625 ||   ||   || [[Vishnu]] || 599.97 || 71.15 || 2, 0 ||   ||   ||
|| 274877906944:274658203125 ||   ||   || [[Luna]] || 1199.98 || 193.196 || 1, 0 ||   ||   ||

Original HTML content:

<html><head><title>Middle Path table of five-limit rank two temperaments</title></head><body>

<table class="wiki_table">
    <tr>
        <td>Vanishing Interval's Ratio<br />
</td>
        <td>V.I. Vector<br />
</td>
        <td>V.I. cents<br />
</td>
        <td>Horagram name<br />
</td>
        <td>TOP per.<br />
</td>
        <td>TOP gen.<br />
</td>
        <td>Mapp. of 2<br />
</td>
        <td>Mapp. of 3<br />
</td>
        <td>Mapp. of 5<br />
</td>
    </tr>
    <tr>
        <td>TWO EXOTEMPERAMENTS:<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>15:16<br />
</td>
        <td>[4, -1, -1&gt;<br />
</td>
        <td>111.7<br />
</td>
        <td><a class="wiki_link" href="/Father">Father</a><br />
</td>
        <td>1185.9<br />
</td>
        <td>447.4<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -1<br />
</td>
        <td>2, 1<br />
</td>
    </tr>
    <tr>
        <td>27:25<br />
</td>
        <td>[0, 3, -2&gt;<br />
</td>
        <td>133.2<br />
</td>
        <td><a class="wiki_link" href="/Bug">Bug</a><br />
</td>
        <td>1200.0<br />
</td>
        <td>260.3<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -2<br />
</td>
        <td>3, -3<br />
</td>
    </tr>
    <tr>
        <td>MAIN SEQUENCE<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>25:24<br />
</td>
        <td>[-3, -1, 2&gt;<br />
</td>
        <td>70.7<br />
</td>
        <td><a class="wiki_link" href="/Dicot">Dicot</a><br />
</td>
        <td>1207.66<br />
</td>
        <td>353.22<br />
</td>
        <td>1, 0<br />
</td>
        <td>1, 2<br />
</td>
        <td>2, 1<br />
</td>
    </tr>
    <tr>
        <td>81:80<br />
</td>
        <td>[-4, 4, -1&gt;<br />
</td>
        <td>21.5<br />
</td>
        <td><a class="wiki_link" href="/Meantone">Meantone</a><br />
</td>
        <td>1201.70<br />
</td>
        <td>504.13<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -1<br />
</td>
        <td>4, -4<br />
</td>
    </tr>
    <tr>
        <td>128:125<br />
</td>
        <td>[7, 0, -3&gt;<br />
</td>
        <td>41.1<br />
</td>
        <td><a class="wiki_link" href="/Augmented">Augmented</a><br />
</td>
        <td>399.02<br />
</td>
        <td>93.15<br />
</td>
        <td>3, 0<br />
</td>
        <td>5, -1<br />
</td>
        <td>7, 0<br />
</td>
    </tr>
    <tr>
        <td>135:128<br />
</td>
        <td>[-7, 3, 1&gt;<br />
</td>
        <td>92.2<br />
</td>
        <td><a class="wiki_link" href="/Mavila">Mavila</a><br />
</td>
        <td>1206.55<br />
</td>
        <td>685.03<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -1<br />
</td>
        <td>1, 3<br />
</td>
    </tr>
    <tr>
        <td>250:243<br />
</td>
        <td>[1, -5, 3&gt;<br />
</td>
        <td>49.2<br />
</td>
        <td><a class="wiki_link" href="/Porcupine">Porcupine</a><br />
</td>
        <td>1196.91<br />
</td>
        <td>1034.59<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -3<br />
</td>
        <td>3, -5<br />
</td>
    </tr>
    <tr>
        <td>256:243<br />
</td>
        <td>[8, -5, 0&gt;<br />
</td>
        <td>90.2<br />
</td>
        <td><a class="wiki_link" href="/Blackwood">Blackwood</a><br />
</td>
        <td>238.87<br />
</td>
        <td>158.78<br />
</td>
        <td>5, 0<br />
</td>
        <td>8, 0<br />
</td>
        <td>12, -1<br />
</td>
    </tr>
    <tr>
        <td>648:625<br />
</td>
        <td>[3, 4, -4&gt;<br />
</td>
        <td>62.6<br />
</td>
        <td><a class="wiki_link" href="/Dimipent">Dimipent</a><br />
</td>
        <td>299.16<br />
</td>
        <td>197.49<br />
</td>
        <td>4, 0<br />
</td>
        <td>6, 1<br />
</td>
        <td>9, 1<br />
</td>
    </tr>
    <tr>
        <td>2048:2025<br />
</td>
        <td>[11, -4, -2&gt;<br />
</td>
        <td>19.6<br />
</td>
        <td><a class="wiki_link" href="/Srutal">Srutal</a><br />
</td>
        <td>599.56<br />
</td>
        <td>494.86<br />
</td>
        <td>2, 0<br />
</td>
        <td>3, 1<br />
</td>
        <td>5, -2<br />
</td>
    </tr>
    <tr>
        <td>3125:3072<br />
</td>
        <td>[-10, -1, 5&gt;<br />
</td>
        <td>29.6<br />
</td>
        <td><a class="wiki_link" href="/Magic">Magic</a><br />
</td>
        <td>1201.28<br />
</td>
        <td>380.80<br />
</td>
        <td>1, 0<br />
</td>
        <td>0, 5<br />
</td>
        <td>2, 1<br />
</td>
    </tr>
    <tr>
        <td>6561:6250<br />
</td>
        <td>[-1, 8, -5&gt;<br />
</td>
        <td>84.1<br />
</td>
        <td><a class="wiki_link" href="/Ripple">Ripple</a><br />
</td>
        <td>1203.32<br />
</td>
        <td>101.99<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -5<br />
</td>
        <td>3, -8<br />
</td>
    </tr>
    <tr>
        <td>15625:15552<br />
</td>
        <td>[-6, -5, 6&gt;<br />
</td>
        <td>8.11<br />
</td>
        <td><a class="wiki_link" href="/Hanson">Hanson</a><br />
</td>
        <td>1200.29<br />
</td>
        <td>317.07<br />
</td>
        <td>1, 0<br />
</td>
        <td>0, 6<br />
</td>
        <td>1, 5<br />
</td>
    </tr>
    <tr>
        <td>16875:16384<br />
</td>
        <td>[-14, 3, 4&gt;<br />
</td>
        <td>51.1<br />
</td>
        <td><a class="wiki_link" href="/Negripent">Negripent</a><br />
</td>
        <td>1201.82<br />
</td>
        <td>1075.68<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -4<br />
</td>
        <td>2, 3<br />
</td>
    </tr>
    <tr>
        <td>20000:19683<br />
</td>
        <td>[5, -9, 4&gt;<br />
</td>
        <td>27.7<br />
</td>
        <td><a class="wiki_link" href="/Tetracot">Tetracot</a><br />
</td>
        <td>1199.03<br />
</td>
        <td>176.11<br />
</td>
        <td>1, 0<br />
</td>
        <td>1, 4<br />
</td>
        <td>1, 9<br />
</td>
    </tr>
    <tr>
        <td>20480:19683<br />
</td>
        <td>[12, -9, 1&gt;<br />
</td>
        <td>68.7<br />
</td>
        <td><a class="wiki_link" href="/Superpyth">Superpyth</a><br />
</td>
        <td>1197.60<br />
</td>
        <td>708.17<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -1<br />
</td>
        <td>6, -9<br />
</td>
    </tr>
    <tr>
        <td>32805:32768<br />
</td>
        <td>[-15, 8, 1&gt;<br />
</td>
        <td>1.95<br />
</td>
        <td><a class="wiki_link" href="/Helmholtz">Helmholtz</a><br />
</td>
        <td>1200.07<br />
</td>
        <td>701.79<br />
</td>
        <td>1, 0<br />
</td>
        <td>2, -1<br />
</td>
        <td>-1, 8<br />
</td>
    </tr>
    <tr>
        <td>78732:78125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Sensipent">Sensipent</a><br />
</td>
        <td>1199.59<br />
</td>
        <td>756.60<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>262144:253125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Passion">Passion</a><br />
</td>
        <td>1198.31<br />
</td>
        <td>98.40<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>393216:390625<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/W%C3%BCrschmidt">Würschmidt</a><br />
</td>
        <td>1199.69<br />
</td>
        <td>812.05<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>531441:524288<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Compton">Compton</a><br />
</td>
        <td>100.05<br />
</td>
        <td>15.13<br />
</td>
        <td>12, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1600000:1594323<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Amity">Amity</a><br />
</td>
        <td>1199.85<br />
</td>
        <td>860.38<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2109375:2097152<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Orson">Orson</a><br />
</td>
        <td>1200.24<br />
</td>
        <td>271.65<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>TWO BONUS TEMPS<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6115295232:6103515625<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Vishnu">Vishnu</a><br />
</td>
        <td>599.97<br />
</td>
        <td>71.15<br />
</td>
        <td>2, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>274877906944:274658203125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/Luna">Luna</a><br />
</td>
        <td>1199.98<br />
</td>
        <td>193.196<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>
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