20edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 234770530 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 237777363 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-06- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-20 14:59:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>237777363</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">[[toc|flat]] | ||
=<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. | 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. | ||
=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= | =Intervals= | ||
| Line 33: | Line 40: | ||
=Modes= | =Modes= | ||
20 tone equal 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]]) | 3 1 3 1 3 1 3 1 3 1 Blackwood Major Decatonic (bi-equal decatonic, according to the [[MOSNamingScheme|MOS naming scheme]]) | ||
| Line 53: | Line 59: | ||
3 4 1 4 3 3 2 Stearns Major | 3 4 1 4 3 3 2 Stearns Major | ||
== == | == == | ||
==Commas== | ==Commas== | ||
20 EDO tempers out the following commas. (Note: This assumes the val < 20 32 46 56 69 74 |.) | 20 EDO tempers out the following commas. (Note: This assumes the val < 20 32 46 56 69 74 |.) | ||
| Line 74: | Line 81: | ||
||= 91/90 ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= ||= || | ||= 91/90 ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= ||= || | ||
||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= ||= || | ||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 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]] | ||
</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"><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:WikiTextTocRule:14:&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:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#x20 tone equal temperament">20 tone equal temperament</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Modes">Modes</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Books">Books</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | ||
<!-- ws:end:WikiTextTocRule:22 --><br /> | |||
<!-- 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> | |||
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 /> | 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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->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:4:&lt;h1&gt; --><h1 id="toc2"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h1> | |||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Modes"></a><!-- ws:end:WikiTextHeadingRule:6 -->Modes</h1> | ||
20 tone equal modes:<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 /> | 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 /> | 1 3 1 3 1 3 1 3 1 3 Blackwood Minor Decatonic (<span class="wiki_link_new">also bi-equal decatonic)</span><br /> | ||
| Line 237: | Line 245: | ||
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:8:&lt;h2&gt; --><h2 id="toc4"><!-- ws:end:WikiTextHeadingRule:8 --> </h2> | ||
<!-- ws:start:WikiTextHeadingRule: | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Modes-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h2> | |||
20 EDO tempers out the following commas. (Note: This assumes the val &lt; 20 32 46 56 69 74 |.)<br /> | 20 EDO tempers out the following commas. (Note: This assumes the val &lt; 20 32 46 56 69 74 |.)<br /> | ||
| Line 511: | Line 520: | ||
</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule: | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:12 -->Books</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule:428:&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:428 --><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></pre></div> | |||