1L 9s

Revision as of 23:36, 25 November 2012 by Wikispaces>JosephRuhf (**Imported revision 385932876 - Original comment: **)

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This revision was by author JosephRuhf and made on 2012-11-25 23:36:56 UTC.
The original revision id was 385932876.
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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.
|| 0/1 ||   ||   ||   ||   || 0 ||   ||
||   ||   ||   ||   || 1/14 || 85 5/7 ||   ||
||   ||   ||   || 1/13 ||   || 92 4/13 || L/s=4:
generators smaller than this are "impractical" ||
||   ||   ||   ||   || 2/25 || 96 ||   ||
||   ||   || 1/12 ||   ||   || 100 || L/s=3:
generators smaller than this may be considered "impractical" ||
||   ||   ||   ||   || 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>
        <td>0/1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td><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><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>L/s=4:<br />
generators smaller than this are &quot;impractical&quot;<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><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>L/s=3:<br />
generators smaller than this may be considered &quot;impractical&quot;<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><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><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><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><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><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><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><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><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><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><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><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><br />
</td>
    </tr>
</table>

</body></html>