Middle Path table of 5-limit rank-2 temperaments

Revision as of 14:09, 31 August 2011 by Wikispaces>guest (**Imported revision 249764416 - 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 || Cmplx. || TOP Dmg. ||
|| 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 ||   ||   || Dicot || 1207.66 || 353.22 || 1, 0 || 1, 2 || 2, 1 ||   ||   ||
|| 81:80 ||   ||   || Meantone || 1201.70 || 504.13 || 1, 0 || 2, -1 || 4, -4 ||   ||   ||
|| 128:125 ||   ||   || Augmented || 399.02 || 93.15 || 3, 0 || 5, -1 || 7, 0 ||   ||   ||
|| 135:128 ||   ||   || Mavila || 1206.55 || 685.03 || 1, 0 || 1, 1 ||   ||   ||   ||
|| 250:243 ||   ||   || Porcupine || 1196.91 || 1034.59 || 1, 0 ||   ||   ||   ||   ||
|| 256:243 ||   ||   || Blackwood || 238.87 || 158.78 || 5, 0 ||   ||   ||   ||   ||
|| 648:625 ||   ||   || Dimipent || 299.16 || 197.49 || 4, 0 ||   ||   ||   ||   ||
|| 2048:2025 ||   ||   || Srutal || 599.56 || 494.86 || 2, 0 ||   ||   ||   ||   ||
|| 3125:3072 ||   ||   || Magic || 1201.28 || 380.80 || 1, 0 ||   ||   ||   ||   ||
|| 6561:6250 ||   ||   || Ripple || 1203.32 || 101.99 || 1, 0 ||   ||   ||   ||   ||
|| 15625:15552 ||   ||   || Hanson || 1200.29 || 317.07 || 1, 0 ||   ||   ||   ||   ||
|| 16875:16384 ||   ||   || Negripent || 1201.82 || 1075.68 || 1, 0 ||   ||   ||   ||   ||
|| 20000:19683 ||   ||   || Tetracot || 1199.03 || 176.11 || 1, 0 ||   ||   ||   ||   ||
|| 20480:19683 ||   ||   || Superpyth || 1197.60 || 708.17 || 1, 0 ||   ||   ||   ||   ||
|| 32805:32768 ||   ||   || Helmholtz || 1200.07 || 701.79 || 1, 0 ||   ||   ||   ||   ||
|| 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>
        <td>Cmplx.<br />
</td>
        <td>TOP Dmg.<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>
        <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>Father<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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>27:25<br />
</td>
        <td>[0, 3, -2&gt;<br />
</td>
        <td>133.2<br />
</td>
        <td>Bug<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>
        <td><br />
</td>
        <td><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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>25:24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Dicot<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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>81:80<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Meantone<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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>128:125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Augmented<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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>135:128<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Mavila<br />
</td>
        <td>1206.55<br />
</td>
        <td>685.03<br />
</td>
        <td>1, 0<br />
</td>
        <td>1, 1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>250:243<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Porcupine<br />
</td>
        <td>1196.91<br />
</td>
        <td>1034.59<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>256:243<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Blackwood<br />
</td>
        <td>238.87<br />
</td>
        <td>158.78<br />
</td>
        <td>5, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>648:625<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Dimipent<br />
</td>
        <td>299.16<br />
</td>
        <td>197.49<br />
</td>
        <td>4, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2048:2025<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Srutal<br />
</td>
        <td>599.56<br />
</td>
        <td>494.86<br />
</td>
        <td>2, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3125:3072<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Magic<br />
</td>
        <td>1201.28<br />
</td>
        <td>380.80<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6561:6250<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Ripple<br />
</td>
        <td>1203.32<br />
</td>
        <td>101.99<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>15625:15552<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Hanson<br />
</td>
        <td>1200.29<br />
</td>
        <td>317.07<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>16875:16384<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Negripent<br />
</td>
        <td>1201.82<br />
</td>
        <td>1075.68<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>20000:19683<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Tetracot<br />
</td>
        <td>1199.03<br />
</td>
        <td>176.11<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>20480:19683<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Superpyth<br />
</td>
        <td>1197.60<br />
</td>
        <td>708.17<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>32805:32768<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Helmholtz<br />
</td>
        <td>1200.07<br />
</td>
        <td>701.79<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>78732:78125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Sensipent<br />
</td>
        <td>1199.59<br />
</td>
        <td>756.60<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>262144:253125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Passion<br />
</td>
        <td>1198.31<br />
</td>
        <td>98.40<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>393216:390625<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Würschmidt<br />
</td>
        <td>1199.69<br />
</td>
        <td>812.05<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>531441:524288<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Compton<br />
</td>
        <td>100.05<br />
</td>
        <td>15.13<br />
</td>
        <td>12, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1600000:1594323<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Amity<br />
</td>
        <td>1199.85<br />
</td>
        <td>860.38<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2109375:2097152<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Orson<br />
</td>
        <td>1200.24<br />
</td>
        <td>271.65<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><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>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6115295232:6103515625<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Vishnu<br />
</td>
        <td>599.97<br />
</td>
        <td>71.15<br />
</td>
        <td>2, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>274877906944:274658203125<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>Luna<br />
</td>
        <td>1199.98<br />
</td>
        <td>193.196<br />
</td>
        <td>1, 0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>