20edo
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=<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= 20 tone equal modes: 3 1 3 1 3 1 3 1 3 1 Blackwood Major Decatonic (bi-equal decatonic, according to the [[MOSNamingScheme|MOS naming scheme]]) 1 3 1 3 1 3 1 3 1 3 Blackwood Minor Decatonic (<span class="wiki_link_new">also bi-equal decatonic)</span> 2 3 2 2 2 3 2 2 2 Balzano Nine-tone (<span class="wiki_link">fair mavila)</span> 2 2 2 2 1 2 2 2 2 2 1 Balzano Eleven-tone, Agmon Diatonic DS4 2 2 2 3 2 2 2 3 2 Balzano Nine-tone inverse (also <span class="wiki_link">fair mavila)</span> 1 2 2 2 2 2 1 2 2 2 2 Balzano Eleven-tone inverse 2 3 2 3 2 3 2 3 Octatonic (diminished, according to the [[MOSNamingScheme|MOS naming scheme]]) 3 2 3 2 3 2 3 2 Diminished 4 3 1 4 3 4 1 Twenty-tone "Major" 4 1 3 4 1 4 3 Twenty-tone "Minor" 2 2 1 2 1 2 2 1 2 2 2 1 Twelve-tone Chromatic 2 2 2 2 1 2 2 2 2 1 2 Zweifel Major 2 1 2 2 2 2 2 1 2 2 2 Zweifel Natural Minor 3 3 3 3 3 3 2 Major quasi-equal Heptatonic (Grumpy hepatonic) 3 2 3 3 3 3 3 Minor quasi-equal Heptatonic (also Grumpy heptatonic) 3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic 3 4 1 4 3 3 2 Stearns Major =Books= [[image:http://ronsword.com/images/20_tet_Coversm.jpg width="82" height="114" link="@http://www.ronsword.com"]][[@http://www.ronsword.com|"Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more]] by [[Ron Sword]] = = =Compositions= * [[http://www.io.com/%7Ehmiller/midi/20tet.mid|Etude in 20-tone equal tuning]] by [[Herman Miller]] * [[http://www.h-pi.com/mp3/20ETPreludeFugue.mp3|20ET — Prelude & Fugue a3]] by [[Aaron Hunt]]
Original HTML content:
<html><head><title>20edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><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:<h2> --><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:<h1> --><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:<h1> --><h1 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h1>
<!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Modes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Modes</h1>
<br />
20 tone equal modes:<br />
3 1 3 1 3 1 3 1 3 1 Blackwood Major Decatonic (bi-equal decatonic, according to the <a class="wiki_link" href="/MOSNamingScheme">MOS naming scheme</a>)<br />
1 3 1 3 1 3 1 3 1 3 Blackwood Minor Decatonic (<span class="wiki_link_new">also bi-equal decatonic)</span><br />
2 3 2 2 2 3 2 2 2 Balzano Nine-tone (<span class="wiki_link">fair mavila)</span><br />
2 2 2 2 1 2 2 2 2 2 1 Balzano Eleven-tone, Agmon Diatonic DS4<br />
2 2 2 3 2 2 2 3 2 Balzano Nine-tone inverse (also <span class="wiki_link">fair mavila)</span><br />
1 2 2 2 2 2 1 2 2 2 2 Balzano Eleven-tone inverse<br />
2 3 2 3 2 3 2 3 Octatonic (diminished, according to the <a class="wiki_link" href="/MOSNamingScheme">MOS naming scheme</a>)<br />
3 2 3 2 3 2 3 2 Diminished<br />
4 3 1 4 3 4 1 Twenty-tone "Major"<br />
4 1 3 4 1 4 3 Twenty-tone "Minor"<br />
2 2 1 2 1 2 2 1 2 2 2 1 Twelve-tone Chromatic<br />
2 2 2 2 1 2 2 2 2 1 2 Zweifel Major<br />
2 1 2 2 2 2 2 1 2 2 2 Zweifel Natural Minor<br />
3 3 3 3 3 3 2 Major quasi-equal Heptatonic (Grumpy hepatonic)<br />
3 2 3 3 3 3 3 Minor quasi-equal Heptatonic (also Grumpy heptatonic)<br />
3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic<br />
3 4 1 4 3 3 2 Stearns Major<br />
<!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:10 -->Books</h1>
<!-- ws:start:WikiTextRemoteImageRule:151:<a href="http://www.ronsword.com" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="" title="" style="height: 114px; width: 82px;" /></a> --><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">"Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a><br />
<!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><!-- ws:end:WikiTextHeadingRule:12 --> </h1>
<!-- ws:start:WikiTextHeadingRule:14:<h1> --><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 & Fugue a3</a> by <a class="wiki_link" href="/Aaron%20Hunt">Aaron Hunt</a></li></ul></body></html>