20edo: Difference between revisions

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**Imported revision 238135763 - Original comment: **
Wikispaces>hstraub
**Imported revision 238136527 - Original comment: **
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<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:hstraub|hstraub]] and made on <tt>2011-06-22 05:32:20 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-06-22 05:41:14 UTC</tt>.<br>
: The original revision id was <tt>238135763</tt>.<br>
: The original revision id was <tt>238136527</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">[[toc|flat]]
<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">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.
=&lt;span style="color: #800038; font-size: 111%;"&gt;20 tone equal temperament&lt;/span&gt;=
 
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.
[[toc|flat]]
 
 
----
 


=Compositions=  
=Compositions=  
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=Modes=  
=Modes=  
20 tone equal modes:
20 tone equal modes:
|| 7 2 7 2 2 || [[score5]] ||
|| 3 1 3 1 3 1 3 1 3 1 || Blackwood Major Decatonic (bi-equal decatonic, according to the [[MOSNamingScheme|MOS naming scheme]]) ||
|| 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 (&lt;span class="wiki_link_new"&gt;also bi-equal decatonic)&lt;/span&gt; ||
|| 1 3 1 3 1 3 1 3 1 3 || Blackwood Minor Decatonic (&lt;span class="wiki_link_new"&gt;also bi-equal decatonic)&lt;/span&gt; ||
|| 2 3 2 2 2 3 2 2 2 || Balzano Nine-tone (&lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt; ||
|| 2 3 2 2 2 3 2 2 2 || Balzano Nine-tone (&lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt; ||
2 2 2 2 1 2 2 2 2 2 1 Balzano Eleven-tone, Agmon Diatonic DS4
|| 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 &lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt;
|| 2 2 2 3 2 2 2 3 2 || Balzano Nine-tone inverse (also &lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt; ||
1 2 2 2 2 2 1 2 2 2 2 Balzano Eleven-tone inverse
|| 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]])
|| 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
|| 3 2 3 2 3 2 3 2 || Diminished ||
4 3 1 4 3 4 1 Twenty-tone "Major"
|| 4 3 1 4 3 4 1 || Twenty-tone "Major" ||
4 1 3 4 1 4 3 Twenty-tone "Minor"
|| 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 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 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
|| 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 heptatonic)
|| 3 3 3 3 3 3 2 || Major quasi-equal Heptatonic (Grumpy heptatonic) ||
3 2 3 3 3 3 3 Minor quasi-equal Heptatonic (also Grumpy heptatonic)
|| 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 2 2 2 2 3 2 2 2 || Rothenberg Generalized Diatonic ||
3 4 1 4 3 3 2 Stearns Major
|| 3 4 1 4 3 3 2 || Stearns Major ||
|| 7 2 7 2 2 || [[score5]] ||
 
== ==  
== ==  


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[[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]]</pre></div>
[[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]]</pre></div>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;20edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:14:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#x20 tone equal temperament"&gt;20 tone equal temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Modes"&gt;Modes&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#Books"&gt;Books&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&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;20edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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.&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x20 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #800038; font-size: 111%;"&gt;20 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Compositions"&gt;Compositions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#Modes"&gt;Modes&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Books"&gt;Books&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;hr /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Compositions&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Compositions&lt;/h1&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow"&gt;Etude in 20-tone equal tuning&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow"&gt;20ET — Prelude &amp;amp; Fugue a3&lt;/a&gt; by &lt;a class="wiki_link" href="/Aaron%20Hunt"&gt;Aaron Hunt&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&amp;amp;songID=933696" rel="nofollow"&gt;We Call It Sharing Breath&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Andrew%20Heathwaite"&gt;Andrew Heathwaite&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/20tet.mid" rel="nofollow"&gt;Etude in 20-tone equal tuning&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Herman%20Miller"&gt;Herman Miller&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.h-pi.com/mp3/20ETPreludeFugue.mp3" rel="nofollow"&gt;20ET — Prelude &amp;amp; Fugue a3&lt;/a&gt; by &lt;a class="wiki_link" href="/Aaron%20Hunt"&gt;Aaron Hunt&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&amp;amp;songID=933696" rel="nofollow"&gt;We Call It Sharing Breath&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Andrew%20Heathwaite"&gt;Andrew Heathwaite&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Intervals&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h1&gt;
   
   


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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Modes&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Modes&lt;/h1&gt;
  20 tone equal modes:&lt;br /&gt;
  20 tone equal modes:&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;7 2 7 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/score5"&gt;score5&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3 1 3 1 3 1 3 1 3 1&lt;br /&gt;
         &lt;td&gt;3 1 3 1 3 1 3 1 3 1&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Balzano Nine-tone (&lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;Balzano Nine-tone (&lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 2 2 1 2 2 2 2 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Balzano Eleven-tone, Agmon Diatonic DS4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 2 3 2 2 2 3 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Balzano Nine-tone inverse (also &lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 2 2 2 2 2 1 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Balzano Eleven-tone inverse&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 2 3 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Octatonic (diminished, according to the &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;MOS naming scheme&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 2 3 2 3 2 3 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Diminished&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 3 1 4 3 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Twenty-tone &amp;quot;Major&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 1 3 4 1 4 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Twenty-tone &amp;quot;Minor&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 1 2 1 2 2 1 2 2 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Twelve-tone Chromatic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 2 2 1 2 2 2 2 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Zweifel Major&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 1 2 2 2 2 2 1 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Zweifel Natural Minor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 3 3 3 3 3 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Major quasi-equal Heptatonic (Grumpy heptatonic)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 2 3 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Minor quasi-equal Heptatonic (also Grumpy heptatonic)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 2 2 2 2 3 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Rothenberg Generalized Diatonic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 4 1 4 3 3 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Stearns Major&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7 2 7 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/score5"&gt;score5&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
&lt;/table&gt;
&lt;/table&gt;


2 2 2 2 1 2 2 2 2 2 1 Balzano Eleven-tone, Agmon Diatonic DS4&lt;br /&gt;
&lt;br /&gt;
2 2 2 3 2 2 2 3 2 Balzano Nine-tone inverse (also &lt;span class="wiki_link"&gt;fair mavila)&lt;/span&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; &lt;/h2&gt;
1 2 2 2 2 2 1 2 2 2 2 Balzano Eleven-tone inverse&lt;br /&gt;
2 3 2 3 2 3 2 3 Octatonic (diminished, according to the &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;MOS naming scheme&lt;/a&gt;)&lt;br /&gt;
3 2 3 2 3 2 3 2 Diminished&lt;br /&gt;
4 3 1 4 3 4 1 Twenty-tone &amp;quot;Major&amp;quot;&lt;br /&gt;
4 1 3 4 1 4 3 Twenty-tone &amp;quot;Minor&amp;quot;&lt;br /&gt;
2 2 1 2 1 2 2 1 2 2 2 1 Twelve-tone Chromatic&lt;br /&gt;
2 2 2 2 1 2 2 2 2 1 2 Zweifel Major&lt;br /&gt;
2 1 2 2 2 2 2 1 2 2 2 Zweifel Natural Minor&lt;br /&gt;
3 3 3 3 3 3 2 Major quasi-equal Heptatonic (Grumpy heptatonic)&lt;br /&gt;
3 2 3 3 3 3 3 Minor quasi-equal Heptatonic (also Grumpy heptatonic)&lt;br /&gt;
3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic&lt;br /&gt;
3 4 1 4 3 3 2 Stearns Major&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; &lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Modes-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Commas&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Modes-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Commas&lt;/h2&gt;
  20 EDO tempers out the following commas. (Note: This assumes the val &amp;lt; 20 32 46 56 69 74 |.)&lt;br /&gt;
  20 EDO tempers out the following commas. (Note: This assumes the val &amp;lt; 20 32 46 56 69 74 |.)&lt;br /&gt;


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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Books&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Books&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextRemoteImageRule:454:&amp;lt;a href=&amp;quot;http://www.ronsword.com/&amp;quot; target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/20_tet_Coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 114px; width: 82px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com/" target="_blank" rel="nofollow"&gt;&lt;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;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:454 --&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank"&gt;&amp;quot;Icosaphonic Scales for Guitar&amp;quot; - Theory / Scale book with above modes and more&lt;/a&gt; by &lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
  &lt;!-- ws:start:WikiTextRemoteImageRule:536:&amp;lt;a href=&amp;quot;http://www.ronsword.com/&amp;quot; target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/20_tet_Coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 114px; width: 82px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com/" target="_blank" rel="nofollow"&gt;&lt;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;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:536 --&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank"&gt;&amp;quot;Icosaphonic Scales for Guitar&amp;quot; - Theory / Scale book with above modes and more&lt;/a&gt; by &lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 05:41, 22 June 2011

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Original Wikitext content:

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.

[[toc|flat]]


----


=Compositions= 
* [[http://www.io.com/%7Ehmiller/midi/20tet.mid|Etude in 20-tone equal tuning]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3|play]] by [[Herman Miller]]
* [[http://www.h-pi.com/mp3/20ETPreludeFugue.mp3|20ET — Prelude & Fugue a3]] by [[Aaron Hunt]]
* [[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=933696|We Call It Sharing Breath]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3|play]] by [[Andrew Heathwaite]]

=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 heptatonic) ||
|| 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 ||
|| 7 2 7 2 2 || [[score5]] ||

== == 

==Commas== 
20 EDO tempers out the following commas. (Note: This assumes the val < 20 32 46 56 69 74 |.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= 256/243 ||< | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd ||=   ||
||= 16875/16384 ||< | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||   ||
||= 9931568/9752117 ||< | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||=   ||=   ||
||= 2048/2025 ||< | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||=   ||=   ||
||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||   ||
||= 49/48 ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||=   ||=   ||
||= 50/49 ||< | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||=   ||
||= 686/675 ||< | 1 -3 -2 3 > ||> 27.99 ||= Senga ||=   ||=   ||
||= 64/63 ||< | 6 -2 0 -1 > ||> 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 9859966/9733137 ||< | -10 7 8 -7 > ||> 22.41 ||= Blackjackisma ||=   ||=   ||
||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||=   ||=   ||
||= 225/224 ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||=   ||
||= 16875/16807 ||< | 0 3 4 -5 > ||> 6.99 ||= Mirkwai ||=   ||=   ||
||= 6772805/6751042 ||< | 11 -10 -10 10 > ||> 5.57 ||= Linus ||=   ||=   ||
||= 2401/2400 ||< | -5 -1 -2 4 > ||> 0.72 ||= Breedsma ||=   ||=   ||
||= 121/120 ||< | -3 -1 -1 0 2 > ||> 14.37 ||= Biyatisma ||=   ||=   ||
||= 91/90 ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||=   ||=   ||
||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||=   ||=   ||

=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]]

Original HTML content:

<html><head><title>20edo</title></head><body>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:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Modes">Modes</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Books">Books</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: -->
<!-- ws:end:WikiTextTocRule:19 --><br />
<br />
<hr />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->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> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3" rel="nofollow">play</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><li><a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&amp;songID=933696" rel="nofollow">We Call It Sharing Breath</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->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:4:&lt;h1&gt; --><h1 id="toc2"><a name="Modes"></a><!-- ws:end:WikiTextHeadingRule:4 -->Modes</h1>
 20 tone equal modes:<br />


<table class="wiki_table">
    <tr>
        <td>3 1 3 1 3 1 3 1 3 1<br />
</td>
        <td>Blackwood Major Decatonic (bi-equal decatonic, according to the <a class="wiki_link" href="/MOSNamingScheme">MOS naming scheme</a>)<br />
</td>
    </tr>
    <tr>
        <td>1 3 1 3 1 3 1 3 1 3<br />
</td>
        <td>Blackwood Minor Decatonic (<span class="wiki_link_new">also bi-equal decatonic)</span><br />
</td>
    </tr>
    <tr>
        <td>2 3 2 2 2 3 2 2 2<br />
</td>
        <td>Balzano Nine-tone (<span class="wiki_link">fair mavila)</span><br />
</td>
    </tr>
    <tr>
        <td>2 2 2 2 1 2 2 2 2 2 1<br />
</td>
        <td>Balzano Eleven-tone, Agmon Diatonic DS4<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 3 2 2 2 3 2<br />
</td>
        <td>Balzano Nine-tone inverse (also <span class="wiki_link">fair mavila)</span><br />
</td>
    </tr>
    <tr>
        <td>1 2 2 2 2 2 1 2 2 2 2<br />
</td>
        <td>Balzano Eleven-tone inverse<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 3 2 3 2 3<br />
</td>
        <td>Octatonic (diminished, according to the <a class="wiki_link" href="/MOSNamingScheme">MOS naming scheme</a>)<br />
</td>
    </tr>
    <tr>
        <td>3 2 3 2 3 2 3 2<br />
</td>
        <td>Diminished<br />
</td>
    </tr>
    <tr>
        <td>4 3 1 4 3 4 1<br />
</td>
        <td>Twenty-tone &quot;Major&quot;<br />
</td>
    </tr>
    <tr>
        <td>4 1 3 4 1 4 3<br />
</td>
        <td>Twenty-tone &quot;Minor&quot;<br />
</td>
    </tr>
    <tr>
        <td>2 2 1 2 1 2 2 1 2 2 2 1<br />
</td>
        <td>Twelve-tone Chromatic<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 2 1 2 2 2 2 1 2<br />
</td>
        <td>Zweifel Major<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 2 2 2 2 1 2 2 2<br />
</td>
        <td>Zweifel Natural Minor<br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 3 3 2<br />
</td>
        <td>Major quasi-equal Heptatonic (Grumpy heptatonic)<br />
</td>
    </tr>
    <tr>
        <td>3 2 3 3 3 3 3<br />
</td>
        <td>Minor quasi-equal Heptatonic (also Grumpy heptatonic)<br />
</td>
    </tr>
    <tr>
        <td>3 2 2 2 2 3 2 2 2<br />
</td>
        <td>Rothenberg Generalized Diatonic<br />
</td>
    </tr>
    <tr>
        <td>3 4 1 4 3 3 2<br />
</td>
        <td>Stearns Major<br />
</td>
    </tr>
    <tr>
        <td>7 2 7 2 2<br />
</td>
        <td><a class="wiki_link" href="/score5">score5</a><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Modes-Commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->Commas</h2>
 20 EDO tempers out the following commas. (Note: This assumes the val &lt; 20 32 46 56 69 74 |.)<br />


<table class="wiki_table">
    <tr>
        <th>Comma<br />
</th>
        <th>Monzo<br />
</th>
        <th>Value (Cents)<br />
</th>
        <th>Name 1<br />
</th>
        <th>Name 2<br />
</th>
        <th>Name 3<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">256/243<br />
</td>
        <td style="text-align: left;">| 8 -5 &gt;<br />
</td>
        <td style="text-align: right;">90.22<br />
</td>
        <td style="text-align: center;">Limma<br />
</td>
        <td style="text-align: center;">Pythagorean Minor 2nd<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16875/16384<br />
</td>
        <td style="text-align: left;">| -14 3 4 &gt;<br />
</td>
        <td style="text-align: right;">51.12<br />
</td>
        <td style="text-align: center;">Negri Comma<br />
</td>
        <td style="text-align: center;">Double Augmentation Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9931568/9752117<br />
</td>
        <td style="text-align: left;">| -25 7 6 &gt;<br />
</td>
        <td style="text-align: right;">31.57<br />
</td>
        <td style="text-align: center;">Ampersand's Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2048/2025<br />
</td>
        <td style="text-align: left;">| 11 -4 -2 &gt;<br />
</td>
        <td style="text-align: right;">19.55<br />
</td>
        <td style="text-align: center;">Diaschisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">525/512<br />
</td>
        <td style="text-align: left;">| -9 1 2 1 &gt;<br />
</td>
        <td style="text-align: right;">43.41<br />
</td>
        <td style="text-align: center;">Avicennma<br />
</td>
        <td style="text-align: center;">Avicenna's Enharmonic Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">49/48<br />
</td>
        <td style="text-align: left;">| -4 -1 0 2 &gt;<br />
</td>
        <td style="text-align: right;">35.70<br />
</td>
        <td style="text-align: center;">Slendro Diesis<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">50/49<br />
</td>
        <td style="text-align: left;">| 1 0 2 -2 &gt;<br />
</td>
        <td style="text-align: right;">34.98<br />
</td>
        <td style="text-align: center;">Tritonic Diesis<br />
</td>
        <td style="text-align: center;">Jubilisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">686/675<br />
</td>
        <td style="text-align: left;">| 1 -3 -2 3 &gt;<br />
</td>
        <td style="text-align: right;">27.99<br />
</td>
        <td style="text-align: center;">Senga<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">64/63<br />
</td>
        <td style="text-align: left;">| 6 -2 0 -1 &gt;<br />
</td>
        <td style="text-align: right;">27.26<br />
</td>
        <td style="text-align: center;">Septimal Comma<br />
</td>
        <td style="text-align: center;">Archytas' Comma<br />
</td>
        <td style="text-align: center;">Leipziger Komma<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">9859966/9733137<br />
</td>
        <td style="text-align: left;">| -10 7 8 -7 &gt;<br />
</td>
        <td style="text-align: right;">22.41<br />
</td>
        <td style="text-align: center;">Blackjackisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1029/1024<br />
</td>
        <td style="text-align: left;">| -10 1 0 3 &gt;<br />
</td>
        <td style="text-align: right;">8.43<br />
</td>
        <td style="text-align: center;">Gamelisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">225/224<br />
</td>
        <td style="text-align: left;">| -5 2 2 -1 &gt;<br />
</td>
        <td style="text-align: right;">7.71<br />
</td>
        <td style="text-align: center;">Septimal Kleisma<br />
</td>
        <td style="text-align: center;">Marvel Comma<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16875/16807<br />
</td>
        <td style="text-align: left;">| 0 3 4 -5 &gt;<br />
</td>
        <td style="text-align: right;">6.99<br />
</td>
        <td style="text-align: center;">Mirkwai<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6772805/6751042<br />
</td>
        <td style="text-align: left;">| 11 -10 -10 10 &gt;<br />
</td>
        <td style="text-align: right;">5.57<br />
</td>
        <td style="text-align: center;">Linus<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2401/2400<br />
</td>
        <td style="text-align: left;">| -5 -1 -2 4 &gt;<br />
</td>
        <td style="text-align: right;">0.72<br />
</td>
        <td style="text-align: center;">Breedsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">121/120<br />
</td>
        <td style="text-align: left;">| -3 -1 -1 0 2 &gt;<br />
</td>
        <td style="text-align: right;">14.37<br />
</td>
        <td style="text-align: center;">Biyatisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">91/90<br />
</td>
        <td style="text-align: left;">| -1 -2 -1 1 0 1 &gt;<br />
</td>
        <td style="text-align: right;">19.13<br />
</td>
        <td style="text-align: center;">Superleap<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">676/675<br />
</td>
        <td style="text-align: left;">| 2 -3 -2 0 0 2 &gt;<br />
</td>
        <td style="text-align: right;">2.56<br />
</td>
        <td style="text-align: center;">Parizeksma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:10 -->Books</h1>
 <!-- ws:start:WikiTextRemoteImageRule:536:&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:536 --><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></body></html>