10edo: Difference between revisions

Revision as of 04:01, 31 March 2011

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This revision was by author xenwolf and made on 2011-03-31 04:01:32 UTC.

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10edo, or 10-tone equal temperament, is a tuning system which divides the [[octave]] into 10 equal parts of exactly 120 [[cent]]s. It can be thought of as two circles of [[5edo]] separated by 120 cents (or 5 circles of [[2edo]]). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic [[MOSScales|moment of symmetry scale]] of the form 1 2 1 2 1 2 1.
=== === 
===Intervals=== 
|| degrees of 10edo || cents value ||
|| 0 || 0 ||
|| 1 || 120 ||
|| 2 || 240 ||
|| 3 || 360 ||
|| 4 || 480 ||
|| 5 || 600 ||
|| 6 || 720 ||
|| 7 || 840 ||
|| 8 || 960 ||
|| 9 || 1080 ||


===Music=== 
[[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Ten Fingers]] by Bill Sethares (synth guitar)
[[http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html|Circle of Thirds]] by Bill Sethares (synth ens.)
[[http://www.akjmusic.com/works.html|10_fantasy]] by Aaron K. Johnson (synth monody)
[[http://www.ziaspace.com/ZIA/mp3s/Future.html|Future]] and [[http://www.ziaspace.com/ZIA/mp3s/Sol.html|Sol]] by ZIA (synths and voice in 10)
[[http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3|Prelude]] by Rick McGowan (Rhino synthesizer)
[[http://soundclick.com/share?songid=5683815|Ideas on the Waterfall of Expression]] by Iglashion Jones (synth)

Original HTML content:

<html><head><title>10edo</title></head><body>10edo, or 10-tone equal temperament, is a tuning system which divides the <a class="wiki_link" href="/octave">octave</a> into 10 equal parts of exactly 120 <a class="wiki_link" href="/cent">cent</a>s. It can be thought of as two circles of <a class="wiki_link" href="/5edo">5edo</a> separated by 120 cents (or 5 circles of <a class="wiki_link" href="/2edo">2edo</a>). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic <a class="wiki_link" href="/MOSScales">moment of symmetry scale</a> of the form 1 2 1 2 1 2 1.<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><!-- ws:end:WikiTextHeadingRule:0 --> </h3>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h3>
 

<table class="wiki_table">
    <tr>
        <td>degrees of 10edo<br />
</td>
        <td>cents value<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>120<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>240<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>360<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>480<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>600<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>720<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>840<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>960<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>1080<br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x--Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h3>
 <a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Ten Fingers</a> by Bill Sethares (synth guitar)<br />
<a class="wiki_link_ext" href="http://eceserv0.ece.wisc.edu/%7Esethares/xentone.html" rel="nofollow">Circle of Thirds</a> by Bill Sethares (synth ens.)<br />
<a class="wiki_link_ext" href="http://www.akjmusic.com/works.html" rel="nofollow">10_fantasy</a> by Aaron K. Johnson (synth monody)<br />
<a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Future.html" rel="nofollow">Future</a> and <a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/mp3s/Sol.html" rel="nofollow">Sol</a> by ZIA (synths and voice in 10)<br />
<a class="wiki_link_ext" href="http://azuma-asobi.com/Music/RhinoPrelude-2003-02-22.mp3" rel="nofollow">Prelude</a> by Rick McGowan (Rhino synthesizer)<br />
<a class="wiki_link_ext" href="http://soundclick.com/share?songid=5683815" rel="nofollow">Ideas on the Waterfall of Expression</a> by Iglashion Jones (synth)</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-03-30 14:49:37 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-03-31 04:01:32 UTC</tt>.<br>
-: The original revision id was <tt>215554736</tt>.<br>
+: The original revision id was <tt>215743416</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>
 <h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">10edo, or 10-tone equal temperament, is a tuning system which divides the octave into 10 equal parts of exactly 120 cents. It can be thought of as two circles of [[5edo]] separated by 120 cents. It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic [[MOSScales|moment of symmetry scale]] of the form 1 2 1 2 1 2 1.
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">10edo, or 10-tone equal temperament, is a tuning system which divides the [[octave]] into 10 equal parts of exactly 120 [[cent]]s. It can be thought of as two circles of [[5edo]] separated by 120 cents (or 5 circles of [[2edo]]). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic [[MOSScales|moment of symmetry scale]] of the form 1 2 1 2 1 2 1.
 === ===
 ===Intervals===
@@ Line 30: / Line 30: @@
 [[http://soundclick.com/share?songid=5683815|Ideas on the Waterfall of Expression]] by Iglashion Jones (synth)</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;10edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;10edo, or 10-tone equal temperament, is a tuning system which divides the octave into 10 equal parts of exactly 120 cents. It can be thought of as two circles of &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; separated by 120 cents. It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic &lt;a class="wiki_link" href="/MOSScales"&gt;moment of symmetry scale&lt;/a&gt; of the form 1 2 1 2 1 2 1.&lt;br /&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;10edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;10edo, or 10-tone equal temperament, is a tuning system which divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 10 equal parts of exactly 120 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. It can be thought of as two circles of &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; separated by 120 cents (or 5 circles of &lt;a class="wiki_link" href="/2edo"&gt;2edo&lt;/a&gt;). It adds to 5edo a small neutral second and its inversion a large neutral seventh; an excellent approximation of 13/8 and its inversion 16/13; and the droll 600-cent tritone that appears in every even-numbered EDO. Taking the the 360 cent large neutral third as a generator produces a heptatonic &lt;a class="wiki_link" href="/MOSScales"&gt;moment of symmetry scale&lt;/a&gt; of the form 1 2 1 2 1 2 1.&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; &lt;/h3&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h3&gt;

10edo: Difference between revisions

Revision as of 04:01, 31 March 2011

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