4edf

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Revision as of 15:31, 23 December 2017 by Wikispaces>hstraub (**Imported revision 624205517 - Original comment: **)
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author hstraub and made on 2017-12-23 15:31:13 UTC.
The original revision id was 624205517.
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:

=Equal division of the perfect fifth (3/2) into 4 equal parts= 

**4edf** divides the [[Perfect fifth]] into 4 [[equal]] intervals, each 175.489 [[cent]]s in size.
This division is said to be used in traditional scales of [[Georgian|Georgia]]. See the [[https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326|discusision on the Yahoo tuning list]].

==Intervals== 
||~ degree ||~ cents value ||~ octave-reduced cents value ||
|| 0 || 0 ||   ||
|| 1 || 175.489 ||   ||
|| 2 || 350.978 ||   ||
|| 3 || 526.466 ||   ||
|| 4 || 701.955 ||   ||
|| 5 || 877.444 ||   ||
|| 6 || 1052.933 ||   ||
||~ second octave ||~   ||~   ||
|| 7 || 1228.421 || 28.421 ||
|| 8 || 1403.910 || 203.910 ||
|| 9 || 1579.399 || 379.399 ||
|| 10 || 1754.888 || 554.888 ||
|| 11 || 1930.376 || 730.376 ||
|| 12 || 2105.865 || 905.865 ||
|| 13 || 2281.354 || 1081.354 ||
||~ third octave ||~   ||~   ||
|| 14 || 2456.843 || 56.843 ||

==Compositions== 
[[http://www.seraph.it/dep/det/repetitions1.mp3|Repetitions 1]] [[http://www.youtube.com/watch?v=XEklMo0tIW0|Repetitions 1 video]] by [[Carlo Serafini]]

Original HTML content:

<html><head><title>4edf</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Equal division of the perfect fifth (3/2) into 4 equal parts</h1>
 <br />
<strong>4edf</strong> divides the <a class="wiki_link" href="/Perfect%20fifth">Perfect fifth</a> into 4 <a class="wiki_link" href="/equal">equal</a> intervals, each 175.489 <a class="wiki_link" href="/cent">cent</a>s in size.<br />
This division is said to be used in traditional scales of <a class="wiki_link" href="/Georgian">Georgia</a>. See the <a class="wiki_link_ext" href="https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326" rel="nofollow">discusision on the Yahoo tuning list</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
 

<table class="wiki_table">
    <tr>
        <th>degree<br />
</th>
        <th>cents value<br />
</th>
        <th>octave-reduced cents value<br />
</th>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>175.489<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>350.978<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>526.466<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>701.955<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>877.444<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>1052.933<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <th>second octave<br />
</th>
        <th><br />
</th>
        <th><br />
</th>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>1228.421<br />
</td>
        <td>28.421<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>1403.910<br />
</td>
        <td>203.910<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>1579.399<br />
</td>
        <td>379.399<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>1754.888<br />
</td>
        <td>554.888<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>1930.376<br />
</td>
        <td>730.376<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>2105.865<br />
</td>
        <td>905.865<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>2281.354<br />
</td>
        <td>1081.354<br />
</td>
    </tr>
    <tr>
        <th>third octave<br />
</th>
        <th><br />
</th>
        <th><br />
</th>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>2456.843<br />
</td>
        <td>56.843<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 -->Compositions</h2>
 <a class="wiki_link_ext" href="http://www.seraph.it/dep/det/repetitions1.mp3" rel="nofollow">Repetitions 1</a> <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=XEklMo0tIW0" rel="nofollow">Repetitions 1 video</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a></body></html>
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