List of edo-distinct 34et rank two temperaments

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This revision was by author genewardsmith and made on 2014-02-09 21:06:41 UTC.
The original revision id was 488359696.
The revision comment was:

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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.

|| 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 />


<table class="wiki_table">
    <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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