20edo: Difference between revisions
Wikispaces>guest **Imported revision 150904265 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 204124602 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-02-22 16:54:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>204124602</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> | ||
<h4>Original Wikitext content:</h4> | <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">=<span style="color: #800038; font-size: 111%;">20 tone equal temperament</span>= | <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">=<span style="color: #800038; font-size: 111%;">20 tone equal temperament</span>= | ||
== == | |||
20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 cents each. It contains smaller edos 2, 4, 5, and 10 and is part of the 5n Family of equal divisions of the octave. | |||
=Intervals= | |||
|| degrees of 20edo || cents value || | |||
|| 0 || 0 || | |||
|| 1 || 60 || | |||
|| 2 || 120 || | |||
|| 3 || 180 || | |||
|| 4 || 240 || | |||
|| 5 || 300 || | |||
|| 6 || 360 || | |||
|| 7 || 420 || | |||
|| 8 || 480 || | |||
|| 9 || 540 || | |||
|| 10 || 600 || | |||
|| 11 || 660 || | |||
|| 12 || 720 || | |||
|| 13 || 780 || | |||
|| 14 || 840 || | |||
|| 15 || 900 || | |||
|| 16 || 960 || | |||
|| 17 || 1020 || | |||
|| 18 || 1080 || | |||
|| 19 || 1140 || | |||
= = | |||
=Modes= | =Modes= | ||
| Line 35: | Line 62: | ||
<h4>Original HTML content:</h4> | <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"><html><head><title>20edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x20 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #800038; font-size: 111%;">20 tone equal temperament</span></h1> | <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"><html><head><title>20edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x20 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #800038; font-size: 111%;">20 tone equal temperament</span></h1> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h2> | ||
20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 cents each. It contains smaller edos 2, 4, 5, and 10 and is part of the 5n Family of equal divisions of the octave.<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h1> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>degrees of 20edo<br /> | |||
</td> | |||
<td>cents value<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>60<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>120<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>180<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>240<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>300<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>360<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>420<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>480<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>540<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>600<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>660<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>720<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>780<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>840<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>900<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>960<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>1020<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>1080<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>1140<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h1> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Modes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Modes</h1> | |||
<br /> | <br /> | ||
20 tone equal modes:<br /> | 20 tone equal modes:<br /> | ||
| Line 55: | Line 219: | ||
3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic<br /> | 3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic<br /> | ||
3 4 1 4 3 3 2 Stearns Major<br /> | 3 4 1 4 3 3 2 Stearns Major<br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:10 -->Books</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:151:&lt;a href=&quot;http://www.ronsword.com&quot; target=&quot;_blank&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://ronsword.com/images/20_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 114px; width: 82px;&quot; /&gt;&lt;/a&gt; --><a href="http://www.ronsword.com" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a><!-- ws:end:WikiTextRemoteImageRule:151 --><a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Icosaphonic Scales for Guitar&quot; - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><!-- ws:end:WikiTextHeadingRule:12 --> </h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:14 -->Compositions</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow">Etude in 20-tone equal tuning</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a></li><li><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow">20ET — Prelude &amp; Fugue a3</a> by <a class="wiki_link" href="/Aaron%20Hunt">Aaron Hunt</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow">Etude in 20-tone equal tuning</a> by <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a></li><li><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow">20ET — Prelude &amp; Fugue a3</a> by <a class="wiki_link" href="/Aaron%20Hunt">Aaron Hunt</a></li></ul></body></html></pre></div> | ||