20edo: Difference between revisions
Wikispaces>Stephen_Weigel **Imported revision 625540823 - Original comment: ** |
Wikispaces>Stephen_Weigel **Imported revision 625540863 - 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:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2018-01-29 13: | : This revision was by author [[User:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2018-01-29 13:07:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>625540863</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> | ||
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* [[http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/|The Walrus and the Carpenter]] by[[Chris Vaisvil| Chris Vaisvil]] and Bethan Mathis | * [[http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/|The Walrus and the Carpenter]] by[[Chris Vaisvil| Chris Vaisvil]] and Bethan Mathis | ||
* [[http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/|20 edo Electric Guitar Improvisation]] by[[Chris Vaisvil| Chris Vaisvil]] | * [[http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/|20 edo Electric Guitar Improvisation]] by[[Chris Vaisvil| Chris Vaisvil]] | ||
* | * [[http://chrisvaisvil.com/gobekli-tepe-20-edo-guitar-solo/|Göbekli Tepe (20 edo guitar solo)]] by [[Chris Vaisvil]] | ||
* [[http://chrisvaisvil.com/a-paradigm-shift-20-edo/|A Paradigm Shift (20 edo)]] by [[Chris Vaisvil]] | * [[http://chrisvaisvil.com/a-paradigm-shift-20-edo/|A Paradigm Shift (20 edo)]] by [[Chris Vaisvil]] | ||
* [[@https://www.youtube.com/watch?v=8PCe5u4QsRg|Composition for unconventional tempered clavier]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | * [[@https://www.youtube.com/watch?v=8PCe5u4QsRg|Composition for unconventional tempered clavier]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | ||
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20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 <a class="wiki_link" href="/cent">cent</a>s each. It contains smaller <a class="wiki_link" href="/edo">edo</a>s <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/5edo">5</a>, and <a class="wiki_link" href="/10edo">10</a> and is part of the 5n Family of equal divisions of the octave. 20 edo fairly approximates the harmonics 7 (from 5 edo), 11, 13 &amp; 15 (from 10 edo), 19 &amp; 27 (from 4 edo), 29 and 31; as well as the other harmonics more loosely (though to some people, still functionally) approximated. Thus, 20-EDO does a reasonably convincing approximation of harmonics 4:7:11:13:15.<br /> | 20-tone equal temperament, or 20edo, divides the octave into exactly 20 equal steps of 60 <a class="wiki_link" href="/cent">cent</a>s each. It contains smaller <a class="wiki_link" href="/edo">edo</a>s <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/5edo">5</a>, and <a class="wiki_link" href="/10edo">10</a> and is part of the 5n Family of equal divisions of the octave. 20 edo fairly approximates the harmonics 7 (from 5 edo), 11, 13 &amp; 15 (from 10 edo), 19 &amp; 27 (from 4 edo), 29 and 31; as well as the other harmonics more loosely (though to some people, still functionally) approximated. Thus, 20-EDO does a reasonably convincing approximation of harmonics 4:7:11:13:15.<br /> | ||
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<!-- ws:start:WikiTextTocRule: | <!-- 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="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Properties">Properties</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Chord Names">Chord Names</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: --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:22 --><hr /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> | <!-- 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="https://soundcloud.com/overtoneshock/underwater-spontaniety-20-edo" rel="nofollow">Underwater Spontaniety</a> (lo-fi ambient) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/gods-favorite-tuning-20-edo" rel="nofollow" target="_blank">God's Favorite Tuning</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/you-lied-and-im-not-mentioning-your-name-20-edo?in=overtoneshock/sets/xenharmonic-microtonal" rel="nofollow">You Lied, and I'm not Mentioning your Name</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><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><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/" rel="nofollow">The Walrus and the Carpenter</a> by<a class="wiki_link" href="/Chris%20Vaisvil"> Chris Vaisvil</a> and Bethan Mathis</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/" rel="nofollow">20 edo Electric Guitar Improvisation</a> by<a class="wiki_link" href="/Chris%20Vaisvil"> Chris Vaisvil</a></li><li | <ul><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/underwater-spontaniety-20-edo" rel="nofollow">Underwater Spontaniety</a> (lo-fi ambient) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/gods-favorite-tuning-20-edo" rel="nofollow" target="_blank">God's Favorite Tuning</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/you-lied-and-im-not-mentioning-your-name-20-edo?in=overtoneshock/sets/xenharmonic-microtonal" rel="nofollow">You Lied, and I'm not Mentioning your Name</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><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><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/" rel="nofollow">The Walrus and the Carpenter</a> by<a class="wiki_link" href="/Chris%20Vaisvil"> Chris Vaisvil</a> and Bethan Mathis</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/" rel="nofollow">20 edo Electric Guitar Improvisation</a> by<a class="wiki_link" href="/Chris%20Vaisvil"> Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/gobekli-tepe-20-edo-guitar-solo/" rel="nofollow">Göbekli Tepe (20 edo guitar solo)</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/a-paradigm-shift-20-edo/" rel="nofollow">A Paradigm Shift (20 edo)</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=8PCe5u4QsRg" rel="nofollow" target="_blank">Composition for unconventional tempered clavier</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=zQDNqnYqCHg" rel="nofollow" target="_blank">5 compositions for violin and clavier in 20-EDO</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=duJHUo_ACgk" rel="nofollow" target="_blank">Composition for cello and clavier in 20-tone equal temperament</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=u6k4lgCnHqs" rel="nofollow" target="_blank">5 compositions for violin and clavier in 20-tone equal temperament</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li></ul><br /> | ||
</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/a-paradigm-shift-20-edo/" rel="nofollow">A Paradigm Shift (20 edo)</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=8PCe5u4QsRg" rel="nofollow" target="_blank">Composition for unconventional tempered clavier</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=zQDNqnYqCHg" rel="nofollow" target="_blank">5 compositions for violin and clavier in 20-EDO</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=duJHUo_ACgk" rel="nofollow" target="_blank">Composition for cello and clavier in 20-tone equal temperament</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li><li><a class="wiki_link_ext" href="https://www.youtube.com/watch?v=u6k4lgCnHqs" rel="nofollow" target="_blank">5 compositions for violin and clavier in 20-tone equal temperament</a> by <a class="wiki_link_ext" href="http://chernobrivets.ru/en/" rel="nofollow" target="_blank">Pyotr Chernobrivets</a></li></ul><br /> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:2 -->Properties</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Properties-Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h2> | ||
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Like <a class="wiki_link" href="/15edo">15edo</a>, every note has many names. D is also C# and Eb. The major 3rd is also a perfect 4th and a dim 5th.<br /> | Like <a class="wiki_link" href="/15edo">15edo</a>, every note has many names. D is also C# and Eb. The major 3rd is also a perfect 4th and a dim 5th.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Chord Names"></a><!-- ws:end:WikiTextHeadingRule:6 -->Chord Names</h1> | ||
20edo chord names using ups and downs:<br /> | 20edo chord names using ups and downs:<br /> | ||
0-4-12 = D E A = Dsus2 = &quot;D sus 2&quot;, or D F A = Dm = &quot;D minor&quot;<br /> | 0-4-12 = D E A = Dsus2 = &quot;D sus 2&quot;, or D F A = Dm = &quot;D minor&quot;<br /> | ||
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For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>. Because many intervals have several names, many chords do too.<br /> | For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>. Because many intervals have several names, many chords do too.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Chord Names-Modes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Modes</h2> | ||
20 tone equal modes:<br /> | 20 tone equal modes:<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Chord Names-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h2> | ||
20 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="/val">val</a> &lt; 20 32 46 56 69 74 |.)<br /> | 20 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="/val">val</a> &lt; 20 32 46 56 69 74 |.)<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Chord Names-Books"></a><!-- ws:end:WikiTextHeadingRule:12 --><strong>Books</strong></h2> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:789:&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:789 --><br /> | ||
<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> | <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> | ||