1L 9s

Revision as of 16:18, 20 January 2013 by Wikispaces>keenanpepper (**Imported revision 399959628 - Original comment: **)

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This revision was by author keenanpepper and made on 2013-01-20 16:18:56 UTC.
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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.
||||||||||~ 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>