9edo: Difference between revisions
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Wikispaces>hstraub **Imported revision 21205405 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 143981809 - 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:genewardsmith|genewardsmith]] and made on <tt>2010-05-23 02:51:55 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>143981809</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">=Compositions= | <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 | |||
2: 7/6 266.871 septimal minor third | |||
3: 63/50 400.108 quasi-equal major third | |||
4: 49/36 533.742 Arabic lute acute fourth | |||
5: 72/49 666.258 Arabic lute grave fifth | |||
6: 100/63 799.892 quasi-equal minor sixth | |||
7: 12/7 933.129 septimal major sixth | |||
8: 50/27 1066.762 grave major seventh | |||
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]] [2, 27/25, 7/3], which is closely related to 9EDO. | |||
=Compositions= | |||
Nocturne in 9tet by Daniel Wolf | Nocturne in 9tet by Daniel Wolf | ||
[[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]] by Aaron Andrew Hunt</pre></div> | [[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]] by Aaron Andrew Hunt</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><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</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>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 /> | |||
1: 27/25 133.238 large limma, BP small semitone<br /> | |||
2: 7/6 266.871 septimal minor third<br /> | |||
3: 63/50 400.108 quasi-equal major third<br /> | |||
4: 49/36 533.742 Arabic lute acute fourth<br /> | |||
5: 72/49 666.258 Arabic lute grave fifth<br /> | |||
6: 100/63 799.892 quasi-equal minor sixth<br /> | |||
7: 12/7 933.129 septimal major sixth<br /> | |||
8: 50/27 1066.762 grave major seventh<br /> | |||
9: 2/1 1200.000 octave<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> [2, 27/25, 7/3], which is closely related to 9EDO.<br /> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> | |||
<br /> | <br /> | ||
Nocturne in 9tet by Daniel Wolf<br /> | Nocturne in 9tet by Daniel Wolf<br /> | ||
<a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a> by Aaron Andrew Hunt</body></html></pre></div> | <a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a> by Aaron Andrew Hunt</body></html></pre></div> | ||
Revision as of 02:51, 23 May 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-05-23 02:51:55 UTC.
- The original revision id was 143981809.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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 2: 7/6 266.871 septimal minor third 3: 63/50 400.108 quasi-equal major third 4: 49/36 533.742 Arabic lute acute fourth 5: 72/49 666.258 Arabic lute grave fifth 6: 100/63 799.892 quasi-equal minor sixth 7: 12/7 933.129 septimal major sixth 8: 50/27 1066.762 grave major seventh 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]] [2, 27/25, 7/3], which is closely related to 9EDO. =Compositions= Nocturne in 9tet by Daniel Wolf [[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]] by Aaron Andrew Hunt
Original HTML content:
<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 /> 1: 27/25 133.238 large limma, BP small semitone<br /> 2: 7/6 266.871 septimal minor third<br /> 3: 63/50 400.108 quasi-equal major third<br /> 4: 49/36 533.742 Arabic lute acute fourth<br /> 5: 72/49 666.258 Arabic lute grave fifth<br /> 6: 100/63 799.892 quasi-equal minor sixth<br /> 7: 12/7 933.129 septimal major sixth<br /> 8: 50/27 1066.762 grave major seventh<br /> 9: 2/1 1200.000 octave<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 "Pelog Nawanada: Sunda". 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> [2, 27/25, 7/3], which is closely related to 9EDO.<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1> <br /> Nocturne in 9tet by Daniel Wolf<br /> <a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a> by Aaron Andrew Hunt</body></html>