List of edo-distinct 34et rank two temperaments

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Revision as of 21:08, 9 February 2014 by Wikispaces>genewardsmith (**Imported revision 488360228 - Original comment: **)
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Original Wikitext content:

The temperaments listed are 34edo-distinct, meaning that they are all different even if tuned in 34edo. The ordering is by increasing complexity of 5. The temperament of lowest TE complexity supported by the patent val was chosen as the representative for each class of edo-distinctness.

=5-limit temperaments= 
|| Period generator || Wedgie || Name || Complexity || Commas ||
|| 34 11 || <<8 1 -17]] || Würschmidt || 3.958 || 393216/390625 ||
|| 17 6 || <<18 -2 -45]] || || 9.648 || 35184372088832/34332275390625 ||
|| 34 15 || <<10 -3 -28]] || Mabila || 5.755 || 268435456/263671875 ||
|| 17 3 || <<2 -4 -11]] || Srutal || 2.121 || 2048/2025 ||
|| 34 9 || <<6 5 -6]] || Hanson || 2.685 || 15625/15552 ||
|| 17 2 || <<14 6 -23]] || Vishnu || 6.423 || 6115295232/6103515625 ||
|| 34 13 || <<12 -7 -39]] || || 7.718 || 549755813888/533935546875 ||
|| 17 7 || <<30 8 -57]] || || 14.26 || 945539748965690376192/931322574615478515625 ||
|| 34 5 || <<4 9 5]] || Tetracot || 2.783 || 20000/19683 ||
|| 17 8 || <<22 24 -13]] || || 10.198 || 2384185791015625/2313662762852352 ||
|| 34 1 || <<14 23 4]] || || 7.688 || 97656250000/94143178827 ||
|| 17 1 || <<6 22 21]] || || 6.749 || 32768000000/31381059609 ||
|| 34 7 || <<2 13 16]] || Immunity || 4.157 || 1638400/1594323 ||
|| 17 4 || <<10 14 -1]] || Fifive || 5.041 || 9765625/9565938 ||
|| 34 3 || <<16 19 -7]] || || 7.583 || 152587890625/148769467776 ||
|| 17 5 || <<26 16 -35]] || Quatracot || 11.648 || 1490116119384765625/1479074071160291328 ||
|| 2 1 || <<0 17 27]] || || 5.984 || 134217728/129140163 ||

Original HTML content:

<html><head><title>List of edo-distinct 34et rank two temperaments</title></head><body>The temperaments listed are 34edo-distinct, meaning that they are all different even if tuned in 34edo. The ordering is by increasing complexity of 5. The temperament of lowest TE complexity supported by the patent val was chosen as the representative for each class of edo-distinctness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit temperaments</h1>
 

<table class="wiki_table">
    <tr>
        <td>Period generator<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Complexity<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>34 11<br />
</td>
        <td>&lt;&lt;8 1 -17]]<br />
</td>
        <td>Würschmidt<br />
</td>
        <td>3.958<br />
</td>
        <td>393216/390625<br />
</td>
    </tr>
    <tr>
        <td>17 6<br />
</td>
        <td>&lt;&lt;18 -2 -45]]<br />
</td>
        <td><br />
</td>
        <td>9.648<br />
</td>
        <td>35184372088832/34332275390625<br />
</td>
    </tr>
    <tr>
        <td>34 15<br />
</td>
        <td>&lt;&lt;10 -3 -28]]<br />
</td>
        <td>Mabila<br />
</td>
        <td>5.755<br />
</td>
        <td>268435456/263671875<br />
</td>
    </tr>
    <tr>
        <td>17 3<br />
</td>
        <td>&lt;&lt;2 -4 -11]]<br />
</td>
        <td>Srutal<br />
</td>
        <td>2.121<br />
</td>
        <td>2048/2025<br />
</td>
    </tr>
    <tr>
        <td>34 9<br />
</td>
        <td>&lt;&lt;6 5 -6]]<br />
</td>
        <td>Hanson<br />
</td>
        <td>2.685<br />
</td>
        <td>15625/15552<br />
</td>
    </tr>
    <tr>
        <td>17 2<br />
</td>
        <td>&lt;&lt;14 6 -23]]<br />
</td>
        <td>Vishnu<br />
</td>
        <td>6.423<br />
</td>
        <td>6115295232/6103515625<br />
</td>
    </tr>
    <tr>
        <td>34 13<br />
</td>
        <td>&lt;&lt;12 -7 -39]]<br />
</td>
        <td><br />
</td>
        <td>7.718<br />
</td>
        <td>549755813888/533935546875<br />
</td>
    </tr>
    <tr>
        <td>17 7<br />
</td>
        <td>&lt;&lt;30 8 -57]]<br />
</td>
        <td><br />
</td>
        <td>14.26<br />
</td>
        <td>945539748965690376192/931322574615478515625<br />
</td>
    </tr>
    <tr>
        <td>34 5<br />
</td>
        <td>&lt;&lt;4 9 5]]<br />
</td>
        <td>Tetracot<br />
</td>
        <td>2.783<br />
</td>
        <td>20000/19683<br />
</td>
    </tr>
    <tr>
        <td>17 8<br />
</td>
        <td>&lt;&lt;22 24 -13]]<br />
</td>
        <td><br />
</td>
        <td>10.198<br />
</td>
        <td>2384185791015625/2313662762852352<br />
</td>
    </tr>
    <tr>
        <td>34 1<br />
</td>
        <td>&lt;&lt;14 23 4]]<br />
</td>
        <td><br />
</td>
        <td>7.688<br />
</td>
        <td>97656250000/94143178827<br />
</td>
    </tr>
    <tr>
        <td>17 1<br />
</td>
        <td>&lt;&lt;6 22 21]]<br />
</td>
        <td><br />
</td>
        <td>6.749<br />
</td>
        <td>32768000000/31381059609<br />
</td>
    </tr>
    <tr>
        <td>34 7<br />
</td>
        <td>&lt;&lt;2 13 16]]<br />
</td>
        <td>Immunity<br />
</td>
        <td>4.157<br />
</td>
        <td>1638400/1594323<br />
</td>
    </tr>
    <tr>
        <td>17 4<br />
</td>
        <td>&lt;&lt;10 14 -1]]<br />
</td>
        <td>Fifive<br />
</td>
        <td>5.041<br />
</td>
        <td>9765625/9565938<br />
</td>
    </tr>
    <tr>
        <td>34 3<br />
</td>
        <td>&lt;&lt;16 19 -7]]<br />
</td>
        <td><br />
</td>
        <td>7.583<br />
</td>
        <td>152587890625/148769467776<br />
</td>
    </tr>
    <tr>
        <td>17 5<br />
</td>
        <td>&lt;&lt;26 16 -35]]<br />
</td>
        <td>Quatracot<br />
</td>
        <td>11.648<br />
</td>
        <td>1490116119384765625/1479074071160291328<br />
</td>
    </tr>
    <tr>
        <td>2 1<br />
</td>
        <td>&lt;&lt;0 17 27]]<br />
</td>
        <td><br />
</td>
        <td>5.984<br />
</td>
        <td>134217728/129140163<br />
</td>
    </tr>
</table>

</body></html>