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**Imported revision 208985148 - Original comment: **
Wikispaces>jdfreivald
**Imported revision 233339378 - Original comment: Added comma table.**
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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:guest|guest]] and made on <tt>2011-03-09 17:16:27 UTC</tt>.<br>
: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 21:37:28 UTC</tt>.<br>
: The original revision id was <tt>208985148</tt>.<br>
: The original revision id was <tt>233339378</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Added comma table.</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>
Line 52: Line 52:
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
== ==
==Commas==
20 EDO tempers out the following commas. (Note: This assumes the val &lt; 20 32 46 56 69 74 |.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
|| 256/243 || | 8 -5 &gt; || 90.22 || Limma || Pythagorean Minor 2nd ||  ||
|| 16875/16384 || | -14 3 4 &gt; || 51.12 || Negri Comma |||| Double Augmentation Diesis ||
|| 9931568/9752117 || | -25 7 6 &gt; || 31.57 |||| Ampersand's Comma ||  ||
|| 2048/2025 || | 11 -4 -2 &gt; || 19.55 || Diaschisma ||  ||  ||
|| 525/512 || | -9 1 2 1 &gt; || 43.41 || Avicennma |||| Avicenna's Enharmonic Diesis ||
|| 49/48 || | -4 -1 0 2 &gt; || 35.70 |||| Slendro Diesis ||  ||
|| 50/49 || | 1 0 2 -2 &gt; || 34.98 || Tritonic Diesis || Jubilisma ||  ||
|| 686/675 || | 1 -3 -2 3 &gt; || 27.99 || Senga ||  ||  ||
|| 64/63 || | 6 -2 0 -1 &gt; || 27.26 || Septimal Comma || Archytas' Comma || Leipziger Komma ||
|| 9859966/9733137 || | -10 7 8 -7 &gt; || 22.41 || Blackjackisma ||  ||  ||
|| 1029/1024 || | -10 1 0 3 &gt; || 8.43 || Gamelisma ||  ||  ||
|| 225/224 || | -5 2 2 -1 &gt; || 7.71 || Septimal Kleisma || Marvel Comma ||  ||
|| 16875/16807 || | 0 3 4 -5 &gt; || 6.99 || Mirkwai ||  ||  ||
|| 6772805/6751042 || | 11 -10 -10 10 &gt; || 5.57 || Linus ||  ||  ||
|| 2401/2400 || | -5 -1 -2 4 &gt; || 0.72 || Breedsma ||  ||  ||
|| 121/120 || | -3 -1 -1 0 2 &gt; || 14.37 || Biyatisma ||  ||  ||
|| 91/90 || | -1 -2 -1 1 0 1 &gt; || 19.13 || Superleap ||  ||  ||
|| 676/675 || | 2 -3 -2 0 0 2 &gt; || 2.56 || Parizeksma ||  ||  ||
=Books=  
=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]]
[[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=  
=Compositions=  
* [[http://www.io.com/~hmiller/midi/20tet.mid|Etude in 20-tone equal tuning]] by [[Herman Miller]]
* [[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 &amp; Fugue a3]] by [[Aaron Hunt]]</pre></div>
* [[http://www.h-pi.com/mp3/20ETPreludeFugue.mp3|20ET — Prelude &amp; Fugue a3]] by [[Aaron Hunt]]</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
Line 214: Line 236:
3 2 2 2 2 3 2 2 2 Rothenberg Generalized Diatonic&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;
3 4 1 4 3 3 2 Stearns Major&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Books&lt;/h1&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;
  &lt;!-- ws:start:WikiTextRemoteImageRule:145:&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:145 --&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;br /&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;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Compositions&lt;/h1&gt;
20 EDO tempers out the following commas. (Note: This assumes the val &amp;lt; 20 32 46 56 69 74 |.)&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.io.com/~hmiller/midi/20tet.mid" rel="nofollow"&gt;Etude in 20-tone equal tuning&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;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Comma&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Value (Cents)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name 1&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name 2&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name 3&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;256/243&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 8 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;90.22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Limma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Pythagorean Minor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16875/16384&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -14 3 4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;51.12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Negri Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Double Augmentation Diesis&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9931568/9752117&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.57&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Ampersand's Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2048/2025&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 11 -4 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Diaschisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;525/512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43.41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Avicennma&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49/48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -4 -1 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;35.70&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Slendro Diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;50/49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 0 2 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;34.98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Tritonic Diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Jubilisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;686/675&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 1 -3 -2 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27.99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Senga&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64/63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 6 -2 0 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27.26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Septimal Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Archytas' Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Leipziger Komma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9859966/9733137&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Blackjackisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1029/1024&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gamelisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;225/224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Septimal Kleisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Marvel Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16875/16807&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 3 4 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Mirkwai&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6772805/6751042&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 11 -10 -10 10 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Linus&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2401/2400&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 -1 -2 4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Breedsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;121/120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 -1 -1 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Biyatisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;91/90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 -2 -1 1 0 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Superleap&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;676/675&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 2 -3 -2 0 0 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2.56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Parizeksma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&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:409:&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:409 --&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&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; 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;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/20edo"