9edo: Difference between revisions
Wikispaces>seraph57 **Imported revision 412063780 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 480701018 - 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:spt3125|spt3125]] and made on <tt>2014-01-05 12:36:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>480701018</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">The 9EDO scale, which divides the octave into nine equal parts each of 133 1/3 cents precisely, has the peculiar property of representing certain [[Harmonic Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | <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">The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain [[Harmonic Limit|7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | ||
1: 27/25 133.238 large limma, BP small semitone | 1: 27/25 133.238 large limma, BP small semitone | ||
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9: 2/1 1200.000 octave | 9: 2/1 1200.000 octave | ||
Here the characterizations are taken from [[http://en.wikipedia.org/wiki/Scala_%28program%29|Scala]], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1-7/6-49/36-12/7 are therefore natural ones for 9EDO. The above scale generates the [[Just intonation subgroups|just intonation subgroup]] | Here the characterizations are taken from [[http://en.wikipedia.org/wiki/Scala_%28program%29|Scala]], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9EDO. The above scale generates the [[Just intonation subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9EDO. | ||
9EDO contains a pentatonic [[MOSScales|MOS scale]] -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called "mavila" or "antidiatonic"). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a [[http://www.neuroscience-of-music.se/pelog%20historical.htm|9EDO tradition]]. | 9EDO contains a pentatonic [[MOSScales|MOS scale]] -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called "mavila" or "antidiatonic"). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a [[http://www.neuroscience-of-music.se/pelog%20historical.htm|9EDO tradition]]. | ||
[[media type="custom" key="24802430"]] | |||
[[file:9ed2-001.svg]] | |||
==Commas== | ==Commas== | ||
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=Compositions= | =Compositions= | ||
Nocturne in 9tet by [[http://home.snafu.de/djwolf/WorksDescriptive.htm|Daniel Wolf]] | * Nocturne in 9tet by [[http://home.snafu.de/djwolf/WorksDescriptive.htm|Daniel Wolf]] | ||
* //[[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]]// by [[Aaron Andrew Hunt]] | * //[[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]]// by [[Aaron Andrew Hunt]] | ||
* //[[http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3|Improvisation for Electric Guitar in 9 edo]]// by [[http://www.chrisvaisvil.com|Chris Vaisvil]][[media type="custom" key="10221463"]] | * //[[http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3|Improvisation for Electric Guitar in 9 edo]]// by [[http://www.chrisvaisvil.com|Chris Vaisvil]][[media type="custom" key="10221463"]] | ||
* [[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3|Comets Over Flatland 8]] by [[Randy Winchester]] | * [[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3|Comets Over Flatland 8]] by [[Randy Winchester]] | ||
* [[http://www.youtube.com/watch?v=bDFCsCoaUO4| | * [[http://www.youtube.com/watch?v=bDFCsCoaUO4|Nine tones per Octave (9-EDO / 9-TET)]] by [[Ivor Darreg]] | ||
* [[http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3|Gerbils at the Wheel of Government]] by [[@http://chrisvaisvil.com/?p=1402|Chris Vaisvil (in 9 and 18 edo simultaneously) | * [[http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3|Gerbils at the Wheel of Government]] by [[@http://chrisvaisvil.com/?p=1402|Chris Vaisvil]] (in 9 and 18 edo simultaneously) | ||
* [[http://www.seraph.it/dep/det/NewWorld.mp3|New World]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html|blog entry]]) | * [[http://www.seraph.it/dep/det/NewWorld.mp3|New World]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html|blog entry]]) | ||
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Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)</pre></div> | Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)</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>9edo</title></head><body>The 9EDO scale, which divides the octave into nine equal parts each of 133 1/3 cents precisely, has the peculiar property of representing certain <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> intervals almost exactly. A 7-limit version of 9EDO goes<br /> | <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>9edo</title></head><body>The 9EDO scale, which divides the octave into nine equal parts each of 133+1/3 cents precisely, has the peculiar property of representing certain <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> intervals almost exactly. A 7-limit version of 9EDO goes<br /> | ||
<br /> | <br /> | ||
1: 27/25 133.238 large limma, BP small semitone<br /> | 1: 27/25 133.238 large limma, BP small semitone<br /> | ||
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9: 2/1 1200.000 octave<br /> | 9: 2/1 1200.000 octave<br /> | ||
<br /> | <br /> | ||
Here the characterizations are taken from <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Scala_%28program%29" rel="nofollow">Scala</a>, which also describes the scale itself as &quot;Pelog Nawanada: Sunda&quot;. Chords such as 1-7/6-49/36-12/7 are therefore natural ones for 9EDO. The above scale generates the <a class="wiki_link" href="/Just%20intonation%20subgroups">just intonation subgroup</a> | Here the characterizations are taken from <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Scala_%28program%29" rel="nofollow">Scala</a>, which also describes the scale itself as &quot;Pelog Nawanada: Sunda&quot;. Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9EDO. The above scale generates the <a class="wiki_link" href="/Just%20intonation%20subgroups">just intonation subgroup</a> 2.27/25.7/3, which is closely related to 9EDO.<br /> | ||
<br /> | <br /> | ||
9EDO contains a pentatonic <a class="wiki_link" href="/MOSScales">MOS scale</a> -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called &quot;mavila&quot; or &quot;antidiatonic&quot;). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a <a class="wiki_link_ext" href="http://www.neuroscience-of-music.se/pelog%20historical.htm" rel="nofollow">9EDO tradition</a>.<br /> | 9EDO contains a pentatonic <a class="wiki_link" href="/MOSScales">MOS scale</a> -- 2L 3s (1 3 1 3 1) -- with a heptatonic extension -- 2L 5s (1 1 2 1 1 2 1, sometimes called &quot;mavila&quot; or &quot;antidiatonic&quot;). Indonesian pelog scales sometimes use five-tone subsets of a seven-tone superset in a similar way, and it has been suggested that Indonesian gamelan music stems from a <a class="wiki_link_ext" href="http://www.neuroscience-of-music.se/pelog%20historical.htm" rel="nofollow">9EDO tradition</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc0"><a name="x-Commas"></a><!-- ws:end:WikiTextHeadingRule:2 -->Commas</h2> | |||
9 EDO tempers out the following commas. (Note: This assumes val &lt; 9 14 21 25 31 33 |.)<br /> | 9 EDO tempers out the following commas. (Note: This assumes val &lt; 9 14 21 25 31 33 |.)<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc1"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:4 -->Compositions</h1> | ||
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Nocturne in 9tet by <a class="wiki_link_ext" href="http://home.snafu.de/djwolf/WorksDescriptive.htm" rel="nofollow">Daniel Wolf</a>< | <ul><li>Nocturne in 9tet by <a class="wiki_link_ext" href="http://home.snafu.de/djwolf/WorksDescriptive.htm" rel="nofollow">Daniel Wolf</a></li><li><em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a></em> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a></li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/9-edo/daily20110629_fts_e_guit_9et.mp3" rel="nofollow">Improvisation for Electric Guitar in 9 edo</a></em> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow">Chris Vaisvil</a><!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/10221463?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;10221463&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> | ||
</script><!-- ws:end:WikiTextMediaRule:1 --></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/08%20-%208.%209%20octave.mp3" rel="nofollow">Comets Over Flatland 8</a> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a></li><li><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=bDFCsCoaUO4" rel="nofollow">Nine tones per Octave (9-EDO / 9-TET)</a> by <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3" rel="nofollow">Gerbils at the Wheel of Government</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1402" rel="nofollow" target="_blank">Chris Vaisvil</a> (in 9 and 18 edo simultaneously)</li><li><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/NewWorld.mp3" rel="nofollow">New World</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/f533be803cb9ed1efc23fc9e2db10c6f-167.html" rel="nofollow">blog entry</a>)</li></ul><br /> | |||
</script><!-- ws:end:WikiTextMediaRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc2"><a name="Compositions--Instruments"></a><!-- ws:end:WikiTextHeadingRule:6 --><strong>Instruments</strong></h3> | ||
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Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)</body></html></pre></div> | Ukulele (MicroUke 1.2) set to 9 EDO with 40 lb. test fishing line (by cenobyte)</body></html></pre></div> | ||