20edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 602901152 - Original comment: ** |
Wikispaces>OmegaNine **Imported revision 613006001 - 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: | : This revision was by author [[User:OmegaNine|OmegaNine]] and made on <tt>2017-05-16 19:39:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>613006001</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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* [[@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]] | ||
* [[@https://www.youtube.com/watch?v=zQDNqnYqCHg|5 compositions for violin and clavier in 20-EDO]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | * [[@https://www.youtube.com/watch?v=zQDNqnYqCHg|5 compositions for violin and clavier in 20-EDO]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | ||
* [[@https://www.youtube.com/watch?v=duJHUo_ACgk|Composition for cello and clavier in 20-tone equal temperament]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | |||
* [[@https://www.youtube.com/watch?v=u6k4lgCnHqs|5 compositions for violin and clavier in 20-tone equal temperament]] by [[@http://chernobrivets.ru/en/|Pyotr Chernobrivets]] | |||
=Properties= | =Properties= | ||
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Like [[15edo]], every note has many names. D is also C# and Eb. The major 3rd is also a perfect 4th and a dim 5th. | Like [[15edo]], every note has many names. D is also C# and Eb. The major 3rd is also a perfect 4th and a dim 5th. | ||
||~ Degree ||~ Cents ||~ Approximate Ratios ||||||~ [[Ups and Downs Notation|ups and downs notation]] ||~ Nearest Harmonic || | ||~ Degree ||~ Cents ||~ Approximate Ratios ||||||~ [[Ups and Downs Notation|ups and downs notation]] ||~ Nearest Harmonic || | ||
||= | ||= 0 ||> 0 ||= 1/1 ||= unison ||= P1 ||= D ||= 1 || | ||
||= | ||= 1 ||> 60 ||= 29/28 ||= upminor 2nd ||= ^m2 ||= D^ ||= 33 || | ||
||= | ||= 2 ||> 120 ||= 14/13, 15/14 ||= mid 2nd ||= ~2 ||= D^^ / Evv ||= 69 || | ||
||= | ||= 3 ||> 180 ||= 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ||= 71 || | ||
||= | ||= 4 ||> 240 ||= 8/7, 15/13 ||= major 2nd, minor 3rd ||= M2, m3 ||= E, F ||= 37 || | ||
||= | ||= 5 ||> 300 ||= 13/11, 19/16 ||= upminor 3rd ||= ^m3 ||= F^ ||= 19 || | ||
||= | ||= 6 ||> 360 ||= 16/13, 5/4 ||= mid 3rd ||= ~3 ||= F^^ ||= 79 || | ||
||= | ||= 7 ||> 420 ||= [[14_11|14/11]], [[51_40|51/40]] ||= downmajor 3rd ||= vM3 ||= F#v ||= 41 || | ||
||= | ||= 8 ||> 480 ||= 25/19, 4/3 ||= major 3rd, perfect fourth ||= M3, P4 ||= F#, G ||= 21 || | ||
||= | ||= 9 ||> 540 ||= 15/11, 11/8 ||= up-fourth ||= ^4 ||= G^ ||= 11 || | ||
||= 10 ||> | ||= 10 ||> 600 ||= 7/5 ||= double-up fourth, double-down fifth ||= ^^4, vv5 ||= G^^, Avv ||= 91 || | ||
||= 11 ||> | ||= 11 ||> 660 ||= 22/15, 16/11 ||= down-fifth ||= v5 ||= Av ||= 47 || | ||
||= 12 ||> | ||= 12 ||> 720 ||= 38/25, 3/2 ||= fifth ||= P5, m6 ||= A ||= 97 || | ||
||= 13 ||> | ||= 13 ||> 780 ||= 11/7, 25/16 ||= upminor 6th ||= ^m6 ||= A^ ||= 25 || | ||
||= 14 ||> | ||= 14 ||> 840 ||= 13/8, 8/5 ||= mid 6th ||= ~6 ||= A^^, Bvv ||= 13 || | ||
||= 15 ||> | ||= 15 ||> 900 ||= 22/13, 32/19 ||= downmajor 6th ||= vM6 ||= Bv ||= 27 || | ||
||= 16 ||> | ||= 16 ||> 960 ||= 7/4, 26/15 ||= major 6th, minor 7th ||= M6, m7 ||= B, C ||= 7 || | ||
||= 17 ||> 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||= 115 || | ||= 17 ||> 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||= 115 || | ||
||= 18 ||> 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ||= 15 || | ||= 18 ||> 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ||= 15 || | ||
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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="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><!-- ws:start:WikiTextHeadingRule:2:&lt;h4&gt; --><h4 id="toc1"><a name="Compositions---Göbekli Tepe (20 edo guitar solo) by Chris Vaisvil"></a><!-- ws:end:WikiTextHeadingRule:2 --><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></h4> | <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><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><!-- ws:start:WikiTextHeadingRule:2:&lt;h4&gt; --><h4 id="toc1"><a name="Compositions---Göbekli Tepe (20 edo guitar solo) by Chris Vaisvil"></a><!-- ws:end:WikiTextHeadingRule:2 --><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></h4> | ||
</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></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:4:&lt;h1&gt; --><h1 id="toc2"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:4 -->Properties</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:4 -->Properties</h1> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Properties-Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Properties-Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h2> | ||
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<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Chord Names-Books"></a><!-- ws:end:WikiTextHeadingRule:14 --><strong>Books</strong></h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Chord Names-Books"></a><!-- ws:end:WikiTextHeadingRule:14 --><strong>Books</strong></h2> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:786:&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:786 --><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> | ||