5edt

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Revision as of 13:20, 16 August 2011 by Wikispaces>Sarzadoce (**Imported revision 246265831 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

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

This revision was by author Sarzadoce and made on 2011-08-16 13:20:15 UTC.
The original revision id was 246265831.
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:

=5 Equal Divisions of the Tritave= 

|| Degrees || Cents || Approximate Ratios ||
|| 0 || 0 || [[1_1|1/1]] ||
|| 1 || 380.391 || [[5_4|5/4]] ||
|| 2 || 760.782 || [[14_9|14/9]] ||
|| 3 || 1141.173 || [[27_14|27/14]] ||
|| 4 || 1521.564 || 12/5 (tritave-inversion of [[6_5|6/5]]) ||
|| 5 || 1901.955 || 3/1 ||

<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;">5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.</span>

5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to [[6edt]], which contains the same chords but with the major thirds transposed an octave higher, and vice versa.


==Other 5n-edts:== 
[[10edt]]
[[15edt]]
[[20edt]]
[[25edt]]
[[30edt]]
...

Original HTML content:

<html><head><title>5edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5 Equal Divisions of the Tritave"></a><!-- ws:end:WikiTextHeadingRule:0 -->5 Equal Divisions of the Tritave</h1>
 <br />


<table class="wiki_table">
    <tr>
        <td>Degrees<br />
</td>
        <td>Cents<br />
</td>
        <td>Approximate Ratios<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
        <td><a class="wiki_link" href="/1_1">1/1</a><br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>380.391<br />
</td>
        <td><a class="wiki_link" href="/5_4">5/4</a><br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>760.782<br />
</td>
        <td><a class="wiki_link" href="/14_9">14/9</a><br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>1141.173<br />
</td>
        <td><a class="wiki_link" href="/27_14">27/14</a><br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>1521.564<br />
</td>
        <td>12/5 (tritave-inversion of <a class="wiki_link" href="/6_5">6/5</a>)<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>1901.955<br />
</td>
        <td>3/1<br />
</td>
    </tr>
</table>

<br />
<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse; line-height: normal;">5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.</span><br />
<br />
5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to <a class="wiki_link" href="/6edt">6edt</a>, which contains the same chords but with the major thirds transposed an octave higher, and vice versa.<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x5 Equal Divisions of the Tritave-Other 5n-edts:"></a><!-- ws:end:WikiTextHeadingRule:2 -->Other 5n-edts:</h2>
 <a class="wiki_link" href="/10edt">10edt</a><br />
<a class="wiki_link" href="/15edt">15edt</a><br />
<a class="wiki_link" href="/20edt">20edt</a><br />
<a class="wiki_link" href="/25edt">25edt</a><br />
<a class="wiki_link" href="/30edt">30edt</a><br />
...</body></html>