4L 3s: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 386500146 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 529852766 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-11-27 10:27:25 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2014-11-06 14:28:02 UTC</tt>.<br>
: The original revision id was <tt>386500146</tt>.<br>
: The original revision id was <tt>529852766</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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||  ||  || 5\18 ||  ||  ||  ||  || 3 2 3 2 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= Optimum rank range (L/s=3/2) ||
||  ||  || 5\18 ||  ||  ||  ||  || 3 2 3 2 3 2 3 || 333.333 || 666.667 || 1000.000 || 133.333 ||= Optimum rank range (L/s=3/2) ||
||  ||  ||  || 7\25 ||  ||  ||  || 4 3 4 3 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||=  ||
||  ||  ||  || 7\25 ||  ||  ||  || 4 3 4 3 4 3 4 || 336.000 || 672.000 || 1008.000 || 144.000 ||=  ||
||  ||  ||  || || 9\32 ||  ||   || 5 4 5 4 5 4 5 || 337.5 || 675.000 || 1012.500 || 150.000 ||= Sixix ||
||  ||  ||  ||   || 9\32 ||  ||   || 5 4 5 4 5 4 5 || 337.5 || 675.000 || 1012.500 || 150.000 ||= Sixix ||
||  ||  ||  ||  ||  || 11\39 ||  || 6 5 6 5 6 5 6 || 338.462 || 676.923 || 1015.385 || 153.846 ||= Sixix ||
||  ||  ||  ||  ||  || 11\39 ||  || 6 5 6 5 6 5 6 || 338.462 || 676.923 || 1015.385 || 153.846 ||= Sixix ||
||  ||  ||  ||  ||  ||  || 13\46 || 7 6 7 6 7 6 7 || 339.130 || 678.261 || 1017.391 || 156.522 ||= (17/14)^3=9/5 ||
|| 2\7 ||  ||  ||  ||  ||  ||  || 1 1 1 1 1 1 1 || 342.857 || 685.714 || 1028.571 || 171.429 ||=  ||
|| 2\7 ||  ||  ||  ||  ||  ||  || 1 1 1 1 1 1 1 || 342.857 || 685.714 || 1028.571 || 171.429 ||=  ||
There are two notable harmonic entropy minima: [[Kleismic family|hanson/keemun]], in which the generator is 6/5 and 6 of them make a 3/1, and [[Starling temperaments|myna]], in which the generator is also 6/5 but now **10** of them make a 6/1 (so no 4/3's or 3/2's appear in this scale).</pre></div>
There are two notable harmonic entropy minima: [[Kleismic family|hanson/keemun]], in which the generator is 6/5 and 6 of them make a 3/1, and [[Starling temperaments|myna]], in which the generator is also 6/5 but now **10** of them make a 6/1 (so no 4/3's or 3/2's appear in this scale).</pre></div>
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Sixix&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Sixix&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;13\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7 6 7 6 7 6 7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;339.130&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;678.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1017.391&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;156.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;(17/14)^3=9/5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;