2L 19s

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Revision as of 16:12, 28 October 2015 by Wikispaces>JosephRuhf (**Imported revision 564250443 - Original comment: **)
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2015-10-28 16:12:32 UTC.
The original revision id was 564250443.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).
|| 1/2 ||   ||   ||   ||   || 600 ||
||   ||   ||   ||   || 14/29 || 579.31 ||
||   ||   ||   || 13/27 ||   || 577.778 ||
||   ||   ||   ||   || 25/52 || 576.923 ||
||   ||   ||   ||   ||   || 576.269 ||
||   ||   || 12/25 ||   ||   || 576 ||
||   ||   ||   ||   ||   || 575.447 ||
||   ||   ||   ||   || 35/73 || 575.3425 ||
||   ||   ||   ||   ||   || 575.2435 ||
||   ||   ||   || 23/48 ||   || 575 ||
||   ||   ||   ||   || 34/71 || 574.648 ||
||   || 11/23 ||   ||   ||   || 573.913 ||
||   ||   ||   ||   || 43/90 || 573.333 ||
||   ||   ||   || 32/67 ||   || 573.134 ||
||   ||   ||   ||   ||   || 573.017 ||
||   ||   ||   ||   || 53/111 || 572.973 ||
||   ||   ||   ||   ||   || 572.902 ||
||   ||   || 21/44 ||   ||   || 572.727 ||
||   ||   ||   ||   || 52/109 || 572.477 ||
||   ||   ||   || 31/65 ||   || 572.308 ||
||   ||   ||   ||   || 41/86 || 572.093 ||
|| 10/21 ||   ||   ||   ||   || 571.429 ||

Original HTML content:

<html><head><title>2L 19s</title></head><body>This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).<br />


<table class="wiki_table">
    <tr>
        <td>1/2<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>14/29<br />
</td>
        <td>579.31<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/27<br />
</td>
        <td><br />
</td>
        <td>577.778<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>25/52<br />
</td>
        <td>576.923<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>576.269<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>12/25<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>576<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>575.447<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>35/73<br />
</td>
        <td>575.3425<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>575.2435<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/48<br />
</td>
        <td><br />
</td>
        <td>575<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>34/71<br />
</td>
        <td>574.648<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11/23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>573.913<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>43/90<br />
</td>
        <td>573.333<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>32/67<br />
</td>
        <td><br />
</td>
        <td>573.134<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>573.017<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>53/111<br />
</td>
        <td>572.973<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>572.902<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>21/44<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>572.727<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>52/109<br />
</td>
        <td>572.477<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>31/65<br />
</td>
        <td><br />
</td>
        <td>572.308<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>41/86<br />
</td>
        <td>572.093<br />
</td>
    </tr>
    <tr>
        <td>10/21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>571.429<br />
</td>
    </tr>
</table>

</body></html>