1L 9s: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 385932876 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 399959628 - 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>2012-11-25 23:36:56 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2013-01-20 16:18:56 UTC</tt>.<br>
: The original revision id was <tt>385932876</tt>.<br>
: The original revision id was <tt>399959628</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
<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 MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
<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 MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
|| 0/1 ||  ||  ||  ||  || 0 ||  ||
||||||||||~ Generator
||  ||  ||  ||  || 1/14 || 85 5/7 ||  ||
(octave fraction) ||~ Generator
||  ||  ||  || 1/13 ||  || 92 4/13 || L/s=4:
(cents) ||~ Comments ||
generators smaller than this are "impractical" ||
|| 0/1 ||  ||  ||  ||  || 0 ||=   ||
||  ||  ||  ||  || 2/25 || 96 ||  ||
||  ||  ||  ||  || 1/14 || 85 5/7 ||=   ||
||  ||  || 1/12 ||  ||  || 100 || L/s=3:
||  ||  ||  || 1/13 ||  || 92 4/13 ||= L/s = 4 ||
generators smaller than this may be considered "impractical" ||
||  ||  ||  ||  || 2/25 || 96 ||=   ||
||  ||  ||  ||  || 3/35 || 102 6/7 ||  ||
||  ||  || 1/12 ||  ||  || 100 ||= L/s = 3 ||
||  ||  ||  || 2/23 ||  || 104.347826 ||  ||
||  ||  ||  ||  || 3/35 || 102 6/7 ||=   ||
||  ||  ||  ||  || 3/34 || 105.882353 ||  ||
||  ||  ||  || 2/23 ||  || 104.347826 ||=   ||
||  || 1/11 ||  ||  ||  || 109 1/11 ||  ||
||  ||  ||  ||  || 3/34 || 105.882353 ||=   ||
||  ||  ||  ||  || 4/43 || 111.627907 ||  ||
||  || 1/11 ||  ||  ||  || 109 1/11 ||=   ||
||  ||  ||  || 3/32 ||  || 112.5 ||  ||
||  ||  ||  ||  || 4/43 || 111.627907 ||=   ||
||  ||  ||  ||  || 5/53 || 113.207547 ||  ||
||  ||  ||  || 3/32 ||  || 112.5 ||=   ||
||  ||  || 2/21 ||  ||  || 114 2/7 ||  ||
||  ||  ||  ||  || 5/53 || 113.207547 ||=   ||
||  ||  ||  ||  || 5/52 || 115 5/13 ||  ||
||  ||  || 2/21 ||  ||  || 114 2/7 ||=   ||
||  ||  ||  || 3/31 ||  || 116.129032 ||  ||
||  ||  ||  ||  || 5/52 || 115 5/13 ||=   ||
||  ||  ||  ||  || 4/41 || 117 3/41 ||  ||
||  ||  ||  || 3/31 ||  || 116.129032 ||=   ||
|| 1/10 ||  ||  ||  ||  || 120 ||  ||</pre></div>
||  ||  ||  ||  || 4/41 || 117 3/41 ||=   ||
|| 1/10 ||  ||  ||  ||  || 120 ||=   ||</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;1L 9s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the &amp;quot;Happy&amp;quot; decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.&lt;br /&gt;
<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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;1L 9s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the &amp;quot;Happy&amp;quot; decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.&lt;br /&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th colspan="5"&gt;Generator&lt;br /&gt;
(octave fraction)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator&lt;br /&gt;
(cents)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Comments&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;0/1&lt;br /&gt;
         &lt;td&gt;0/1&lt;br /&gt;
Line 44: Line 55:
         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 60: Line 71:
         &lt;td&gt;85 5/7&lt;br /&gt;
         &lt;td&gt;85 5/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 76: Line 87:
         &lt;td&gt;92 4/13&lt;br /&gt;
         &lt;td&gt;92 4/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;L/s=4:&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
generators smaller than this are &amp;quot;impractical&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 93: Line 103:
         &lt;td&gt;96&lt;br /&gt;
         &lt;td&gt;96&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;100&lt;br /&gt;
         &lt;td&gt;100&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;L/s=3:&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;L/s = 3&lt;br /&gt;
generators smaller than this may be considered &amp;quot;impractical&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;102 6/7&lt;br /&gt;
         &lt;td&gt;102 6/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 142: Line 151:
         &lt;td&gt;104.347826&lt;br /&gt;
         &lt;td&gt;104.347826&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 158: Line 167:
         &lt;td&gt;105.882353&lt;br /&gt;
         &lt;td&gt;105.882353&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 174: Line 183:
         &lt;td&gt;109 1/11&lt;br /&gt;
         &lt;td&gt;109 1/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;111.627907&lt;br /&gt;
         &lt;td&gt;111.627907&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;112.5&lt;br /&gt;
         &lt;td&gt;112.5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;113.207547&lt;br /&gt;
         &lt;td&gt;113.207547&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 238: Line 247:
         &lt;td&gt;114 2/7&lt;br /&gt;
         &lt;td&gt;114 2/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;115 5/13&lt;br /&gt;
         &lt;td&gt;115 5/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 270: Line 279:
         &lt;td&gt;116.129032&lt;br /&gt;
         &lt;td&gt;116.129032&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 286: Line 295:
         &lt;td&gt;117 3/41&lt;br /&gt;
         &lt;td&gt;117 3/41&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 302: Line 311:
         &lt;td&gt;120&lt;br /&gt;
         &lt;td&gt;120&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 16:18, 20 January 2013

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author keenanpepper and made on 2013-01-20 16:18:56 UTC.
The original revision id was 399959628.
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 MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
||||||||||~ Generator
(octave fraction) ||~ Generator
(cents) ||~ Comments ||
|| 0/1 ||   ||   ||   ||   || 0 ||=   ||
||   ||   ||   ||   || 1/14 || 85 5/7 ||=   ||
||   ||   ||   || 1/13 ||   || 92 4/13 ||= L/s = 4 ||
||   ||   ||   ||   || 2/25 || 96 ||=   ||
||   ||   || 1/12 ||   ||   || 100 ||= L/s = 3 ||
||   ||   ||   ||   || 3/35 || 102 6/7 ||=   ||
||   ||   ||   || 2/23 ||   || 104.347826 ||=   ||
||   ||   ||   ||   || 3/34 || 105.882353 ||=   ||
||   || 1/11 ||   ||   ||   || 109 1/11 ||=   ||
||   ||   ||   ||   || 4/43 || 111.627907 ||=   ||
||   ||   ||   || 3/32 ||   || 112.5 ||=   ||
||   ||   ||   ||   || 5/53 || 113.207547 ||=   ||
||   ||   || 2/21 ||   ||   || 114 2/7 ||=   ||
||   ||   ||   ||   || 5/52 || 115 5/13 ||=   ||
||   ||   ||   || 3/31 ||   || 116.129032 ||=   ||
||   ||   ||   ||   || 4/41 || 117 3/41 ||=   ||
|| 1/10 ||   ||   ||   ||   || 120 ||=   ||

Original HTML content:

<html><head><title>1L 9s</title></head><body>This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the &quot;Happy&quot; decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">Generator<br />
(octave fraction)<br />
</th>
        <th>Generator<br />
(cents)<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>0/1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/14<br />
</td>
        <td>85 5/7<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/13<br />
</td>
        <td><br />
</td>
        <td>92 4/13<br />
</td>
        <td style="text-align: center;">L/s = 4<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/25<br />
</td>
        <td>96<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
        <td style="text-align: center;">L/s = 3<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/35<br />
</td>
        <td>102 6/7<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/23<br />
</td>
        <td><br />
</td>
        <td>104.347826<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/34<br />
</td>
        <td>105.882353<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1/11<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109 1/11<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/43<br />
</td>
        <td>111.627907<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/32<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>5/53<br />
</td>
        <td>113.207547<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>114 2/7<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>115 5/13<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/31<br />
</td>
        <td><br />
</td>
        <td>116.129032<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/41<br />
</td>
        <td>117 3/41<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>1/10<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>