12L 17s

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Revision as of 17:18, 14 February 2015 by Wikispaces>JosephRuhf (**Imported revision 540983892 - Original comment: **)
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This revision was by author JosephRuhf and made on 2015-02-14 17:18:52 UTC.
The original revision id was 540983892.
The revision comment was:

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Original Wikitext content:

This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
|| 12/29 ||   ||   ||   ||   || 496 16/29 ||
||   ||   ||   ||   || 53/128 || 496.875 ||
||   ||   ||   || 41/99 ||   || 496 32/99 ||
||   ||   ||   ||   || 70/169 || 497 7/169 ||
||   ||   || 29/70 ||   ||   || 497 1/7 ||
||   ||   ||   ||   || 75/181 || 497 43/181 ||
||   ||   ||   || 46/111 ||   || 497 11/37 ||
||   ||   ||   ||   || 63/152 || 497 7/19 ||
||   || 17/41 ||   ||   ||   || 497 23/41 ||
||   ||   ||   ||   || 56/135 || 497 7/9 ||
||   ||   ||   || 39/94 ||   || 497 41/47 ||
||   ||   ||   ||   || 61/147 || 497 47/49 ||
||   ||   ||   ||   ||   || 498.1013435 ||
||   ||   || 22/53 ||   ||   || 498 6/53 ||
||   ||   ||   ||   ||   || 498.125032 ||
||   ||   ||   ||   || 49/118 || 498 18/59 ||
||   ||   ||   || 27/65 ||   || 498 6/13 ||
||   ||   ||   ||   || 32/77 || 498 54/77 ||
|| 5/12 ||   ||   ||   ||   || 500 ||

Original HTML content:

<html><head><title>12L 17s</title></head><body>This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of &quot;practicality&quot; and its harmonic entropy minimum of exactly 4/3.<br />


<table class="wiki_table">
    <tr>
        <td>12/29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>496 16/29<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>53/128<br />
</td>
        <td>496.875<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>41/99<br />
</td>
        <td><br />
</td>
        <td>496 32/99<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>70/169<br />
</td>
        <td>497 7/169<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>29/70<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497 1/7<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75/181<br />
</td>
        <td>497 43/181<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>46/111<br />
</td>
        <td><br />
</td>
        <td>497 11/37<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>63/152<br />
</td>
        <td>497 7/19<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>17/41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497 23/41<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>56/135<br />
</td>
        <td>497 7/9<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>39/94<br />
</td>
        <td><br />
</td>
        <td>497 41/47<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>61/147<br />
</td>
        <td>497 47/49<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>498.1013435<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>498 6/53<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>498.125032<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>49/118<br />
</td>
        <td>498 18/59<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>27/65<br />
</td>
        <td><br />
</td>
        <td>498 6/13<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>32/77<br />
</td>
        <td>498 54/77<br />
</td>
    </tr>
    <tr>
        <td>5/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>500<br />
</td>
    </tr>
</table>

</body></html>
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