10L 2s: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 551977726 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 565973661 - Original comment: **
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<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>2015-05-23 17:41:58 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-10 18:26:17 UTC</tt>.<br>
: The original revision id was <tt>551977726</tt>.<br>
: The original revision id was <tt>565973661</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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||  ||  ||  || 4\46 ||  ||  || 104.35 ||=  ||
||  ||  ||  || 4\46 ||  ||  || 104.35 ||=  ||
||  ||  || 3\34 ||  ||  ||  || 105.88 ||= Srutal/pajara is around here ||
||  ||  || 3\34 ||  ||  ||  || 105.88 ||= Srutal/pajara is around here ||
||  ||  ||  ||  ||  ||  || 106.45 ||  ||
||  ||  ||  ||  || 8\90 ||  || 106.67 ||  ||
||  ||  ||  ||  ||  ||  || 106.8 ||  ||
||  ||  ||  || 5\56 ||  ||  || 107.14 ||=  ||
||  ||  ||  || 5\56 ||  ||  || 107.14 ||=  ||
||  ||  ||  ||  ||  ||  || 107.58 ||  ||
||  || 2\22 ||  ||  ||  ||  || 109.09 ||= Boundary of propriety for near-MOS
||  || 2\22 ||  ||  ||  ||  || 109.09 ||= Boundary of propriety for near-MOS
Optimal rank range (L/s=2/1) for MOS ||
Optimal rank range (L/s=2/1) for MOS ||
||  ||  ||  || 5\54 ||  ||  || 111.11 ||=  ||
||  ||  ||  || 5\54 ||  ||  || 111.11 ||=  ||
||  ||  ||  ||  ||  ||  || 111.48 ||  ||
||  ||  ||  ||  || 8\86 ||  || 111.63 ||  ||
||  ||  ||  ||  ||  ||  || 111.78 ||  ||
||  ||  ||  ||  ||  ||  || 111.78 ||  ||
||  ||  || 3\32 ||  ||  ||  || 112.5 ||=  ||
||  ||  || 3\32 ||  ||  ||  || 112.5 ||=  ||
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Srutal/pajara is around here&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Srutal/pajara is around here&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;8\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;106.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
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        &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;107.58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;111.48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
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        &lt;td&gt;&lt;br /&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;111.63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 18:26, 10 November 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 2015-11-10 18:26:17 UTC.
The original revision id was 565973661.
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:

The only significant harmonic entropy minimum with this MOS pattern is [[Diaschismic family|srutal/pajara]][12], which is simply [[2L 8s|decatonic]] with two more notes added in.

All scales with this MOS pattern are [[Rothenberg propriety|proper]], because there is only one small step per period.

||||||||~ Generator ||~   ||~   ||~ Cents ||~ Comments ||
|| 1\12 ||   ||   ||   ||   ||   || 100 ||=   ||
||   ||   ||   ||   ||   || 6\70 || 102.86 ||   ||
||   ||   ||   ||   || 5\58 ||   || 103.45 ||   ||
||   ||   ||   || 4\46 ||   ||   || 104.35 ||=   ||
||   ||   || 3\34 ||   ||   ||   || 105.88 ||= Srutal/pajara is around here ||
||   ||   ||   ||   ||   ||   || 106.45 ||   ||
||   ||   ||   ||   || 8\90 ||   || 106.67 ||   ||
||   ||   ||   ||   ||   ||   || 106.8 ||   ||
||   ||   ||   || 5\56 ||   ||   || 107.14 ||=   ||
||   ||   ||   ||   ||   ||   || 107.58 ||   ||
||   || 2\22 ||   ||   ||   ||   || 109.09 ||= Boundary of propriety for near-MOS
Optimal rank range (L/s=2/1) for MOS ||
||   ||   ||   || 5\54 ||   ||   || 111.11 ||=   ||
||   ||   ||   ||   ||   ||   || 111.48 ||   ||
||   ||   ||   ||   || 8\86 ||   || 111.63 ||   ||
||   ||   ||   ||   ||   ||   || 111.78 ||   ||
||   ||   || 3\32 ||   ||   ||   || 112.5 ||=   ||
||   ||   ||   ||   ||   ||   || 112.82 ||   ||
||   ||   ||   || 4\42 ||   ||   || 114.29 ||=   ||
||   ||   ||   ||   || 5\52 ||   || 115.385 ||   ||
||   ||   ||   ||   ||   || 6\62 || 116.13 ||   ||
|| 1\10 ||   ||   ||   ||   ||   || 120 ||=   ||

Original HTML content:

<html><head><title>10L 2s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>[12], which is simply <a class="wiki_link" href="/2L%208s">decatonic</a> with two more notes added in.<br />
<br />
All scales with this MOS pattern are <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>, because there is only one small step per period.<br />
<br />


<table class="wiki_table">
    <tr>
        <th colspan="4">Generator<br />
</th>
        <th><br />
</th>
        <th><br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\70<br />
</td>
        <td>102.86<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\58<br />
</td>
        <td><br />
</td>
        <td>103.45<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\46<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>104.35<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>105.88<br />
</td>
        <td style="text-align: center;">Srutal/pajara is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>106.45<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\90<br />
</td>
        <td><br />
</td>
        <td>106.67<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>106.8<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\56<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>107.14<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>107.58<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109.09<br />
</td>
        <td style="text-align: center;">Boundary of propriety for near-MOS<br />
Optimal rank range (L/s=2/1) for MOS<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\54<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>111.11<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>111.48<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\86<br />
</td>
        <td><br />
</td>
        <td>111.63<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>111.78<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\32<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>112.5<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>112.82<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\42<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>114.29<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\52<br />
</td>
        <td><br />
</td>
        <td>115.385<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\62<br />
</td>
        <td>116.13<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>