List of edo-distinct 34d rank two temperaments

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This revision was by author genewardsmith and made on 2014-02-09 21:11:48 UTC.
The original revision id was 488361552.
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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 34d val,  <<34 54 79 96 118 126||, 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 34d 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 34d val,  &lt;&lt;34 54 79 96 118 126||, 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>
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