4L 4s

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Revision as of 03:07, 28 August 2011 by Wikispaces>guest (**Imported revision 248869257 - Original comment: **)
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Original Wikitext content:

The minimum harmonic entropy scale with this [[MOSScales|MOS]] pattern is [[Jubilismic clan|diminished]][8], basically the familiar [[Octatonic scale|octatonic scale]] of 12edo.

There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)
||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\4 ||   ||   ||   ||   || 0 ||   ||
||   ||   || 1\16 ||   ||   || 75 ||   ||
||   || 1\12 ||   ||   ||   || 100 || Diminished is around here ||
||   ||   ||   || 3\32 ||   || 112.5 ||   ||
||   ||   ||   ||   || 5\52 || 115.38 || Golden diminished ||
||   ||   || 2\20 ||   ||   || 120 ||   ||
|| 1\8 ||   ||   ||   ||   || 150 ||   ||

Original HTML content:

<html><head><title>4L 4s</title></head><body>The minimum harmonic entropy scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/Jubilismic%20clan">diminished</a>[8], basically the familiar <a class="wiki_link" href="/Octatonic%20scale">octatonic scale</a> of 12edo.<br />
<br />
There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>0\4<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>1\16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1\12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
        <td>Diminished is around here<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\52<br />
</td>
        <td>115.38<br />
</td>
        <td>Golden diminished<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\20<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>150<br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>