7L 17s: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 552017526 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 564491463 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 14:40:36 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-30 12:37:06 UTC</tt>.<br>
: The original revision id was <tt>552017526</tt>.<br>
: The original revision id was <tt>564491463</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This is the MOS where the large steps divide the small steps into groups of 3-2-3-2-3-2-2. Its generator is a neutral third of up to 7/24edo (350 cents), which serves as an approxiamte 11/9; with 38edo (the low estimate for the boundary of "practicality") giving this ratio almost exactly.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This is the MOS where the large steps divide the small steps into groups of 3-2-3-2-3-2-2. Its generator is a neutral third of up to 7/24edo (350 cents), which serves as an approxiamte 11/9; with 38edo (the low estimate for the boundary of "practicality") giving this ratio almost exactly.
|| 7/24 ||  ||  ||  ||  || 350 ||
|| 7/24 ||  ||  ||  ||  || 350 ||
||  ||  ||  ||  || 30/103 || 349.514563 ||
||  ||  ||  ||  || 30/103 || 349.515 ||
||  ||  ||  || 23/79 ||  || 349.367089 ||
||  ||  ||  || 23/79 ||  || 349.367 ||
||  ||  ||  ||  || 39/134 || 349.235731 ||
||  ||  ||  ||  || 39/134 || 349.236 ||
||  ||  || 16/55 ||  ||  || 349 1/11 ||
||  ||  || 16/55 ||  ||  || 349.091 ||
||  ||  ||  ||  || 41/141 || 348.93617 ||
||  ||  ||  ||  ||  || 348.981 ||
||  ||  ||  || 25/86 ||  || 348.837209 ||
||  ||  ||  ||  || 41/141 || 348.936 ||
||  ||  ||  ||  || 34/117 || 348 28/39 ||
||  ||  ||  ||  ||  || 348.909 ||
||  || 9/31 ||  ||  ||  || 348.387097 ||
||  ||  ||  || 25/86 ||  || 348.837 ||
||  ||  ||  ||  || 34/117 || 348.72 ||
||  || 9/31 ||  ||  ||  || 348.387 ||
||  ||  ||  ||  || 29/100 || 348 ||
||  ||  ||  ||  || 29/100 || 348 ||
||  ||  ||  || 20/69 ||  || 347.826087 ||
||  ||  ||  || 20/69 ||  || 347.826 ||
||  ||  ||  ||  || 31/107 || 347.663551 ||
||  ||  ||  ||  ||  || 347.71 ||
||  ||  ||  ||  ||  || 347.61535 ||
||  ||  ||  ||  || 31/107 || 347.664 ||
||  ||  || 11/38 ||  ||  || 347.368421 ||
||  ||  ||  ||  ||  || 347.615 ||
||  ||  ||  ||  ||  || 347.253745 ||
||  ||  || 11/38 ||  ||  || 347.368 ||
||  ||  ||  ||  || 24/83 || 346.987952 ||
||  ||  ||  ||  ||  || 347.254 ||
||  ||  ||  ||  || 24/83 || 346.988 ||
||  ||  ||  || 13/45 ||  || 346 2/3 ||
||  ||  ||  || 13/45 ||  || 346 2/3 ||
||  ||  ||  ||  || 15/52 || 346 2/13 ||
||  ||  ||  ||  || 15/52 || 346 2/13 ||
Line 56: Line 59:
         &lt;td&gt;30/103&lt;br /&gt;
         &lt;td&gt;30/103&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;349.514563&lt;br /&gt;
         &lt;td&gt;349.515&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;349.367089&lt;br /&gt;
         &lt;td&gt;349.367&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;39/134&lt;br /&gt;
         &lt;td&gt;39/134&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;349.235731&lt;br /&gt;
         &lt;td&gt;349.236&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;349 1/11&lt;br /&gt;
         &lt;td&gt;349.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;348.981&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;41/141&lt;br /&gt;
         &lt;td&gt;41/141&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;348.93617&lt;br /&gt;
         &lt;td&gt;348.936&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;348.909&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;348.837209&lt;br /&gt;
         &lt;td&gt;348.837&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;34/117&lt;br /&gt;
         &lt;td&gt;34/117&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;348 28/39&lt;br /&gt;
         &lt;td&gt;348.72&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;348.387097&lt;br /&gt;
         &lt;td&gt;348.387&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;347.826087&lt;br /&gt;
         &lt;td&gt;347.826&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;347.71&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;31/107&lt;br /&gt;
         &lt;td&gt;31/107&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;347.663551&lt;br /&gt;
         &lt;td&gt;347.664&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;347.61535&lt;br /&gt;
         &lt;td&gt;347.615&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;347.368421&lt;br /&gt;
         &lt;td&gt;347.368&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;347.253745&lt;br /&gt;
         &lt;td&gt;347.254&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;24/83&lt;br /&gt;
         &lt;td&gt;24/83&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;346.987952&lt;br /&gt;
         &lt;td&gt;346.988&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 12:37, 30 October 2015

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2015-10-30 12:37:06 UTC.
The original revision id was 564491463.
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 large steps divide the small steps into groups of 3-2-3-2-3-2-2. Its generator is a neutral third of up to 7/24edo (350 cents), which serves as an approxiamte 11/9; with 38edo (the low estimate for the boundary of "practicality") giving this ratio almost exactly.
|| 7/24 ||   ||   ||   ||   || 350 ||
||   ||   ||   ||   || 30/103 || 349.515 ||
||   ||   ||   || 23/79 ||   || 349.367 ||
||   ||   ||   ||   || 39/134 || 349.236 ||
||   ||   || 16/55 ||   ||   || 349.091 ||
||   ||   ||   ||   ||   || 348.981 ||
||   ||   ||   ||   || 41/141 || 348.936 ||
||   ||   ||   ||   ||   || 348.909 ||
||   ||   ||   || 25/86 ||   || 348.837 ||
||   ||   ||   ||   || 34/117 || 348.72 ||
||   || 9/31 ||   ||   ||   || 348.387 ||
||   ||   ||   ||   || 29/100 || 348 ||
||   ||   ||   || 20/69 ||   || 347.826 ||
||   ||   ||   ||   ||   || 347.71 ||
||   ||   ||   ||   || 31/107 || 347.664 ||
||   ||   ||   ||   ||   || 347.615 ||
||   ||   || 11/38 ||   ||   || 347.368 ||
||   ||   ||   ||   ||   || 347.254 ||
||   ||   ||   ||   || 24/83 || 346.988 ||
||   ||   ||   || 13/45 ||   || 346 2/3 ||
||   ||   ||   ||   || 15/52 || 346 2/13 ||
|| 2/7 ||   ||   ||   ||   || 342 6/7 ||

Original HTML content:

<html><head><title>7L 17s</title></head><body>This is the MOS where the large steps divide the small steps into groups of 3-2-3-2-3-2-2. Its generator is a neutral third of up to 7/24edo (350 cents), which serves as an approxiamte 11/9; with 38edo (the low estimate for the boundary of &quot;practicality&quot;) giving this ratio almost exactly.<br />


<table class="wiki_table">
    <tr>
        <td>7/24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>350<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>30/103<br />
</td>
        <td>349.515<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/79<br />
</td>
        <td><br />
</td>
        <td>349.367<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>39/134<br />
</td>
        <td>349.236<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>16/55<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>349.091<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>348.981<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>41/141<br />
</td>
        <td>348.936<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>348.909<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>25/86<br />
</td>
        <td><br />
</td>
        <td>348.837<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>34/117<br />
</td>
        <td>348.72<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/31<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>348.387<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>29/100<br />
</td>
        <td>348<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>20/69<br />
</td>
        <td><br />
</td>
        <td>347.826<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>347.71<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>31/107<br />
</td>
        <td>347.664<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>347.615<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/38<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>347.368<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>347.254<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>24/83<br />
</td>
        <td>346.988<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/45<br />
</td>
        <td><br />
</td>
        <td>346 2/3<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>15/52<br />
</td>
        <td>346 2/13<br />
</td>
    </tr>
    <tr>
        <td>2/7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>342 6/7<br />
</td>
    </tr>
</table>

</body></html>