9edo: Difference between revisions

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Wikispaces>jdfreivald
**Imported revision 233288672 - Original comment: Added comma table.**
Wikispaces>jdfreivald
**Imported revision 233288968 - Original comment: **
Line 1: Line 1:
<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:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:38:56 UTC</tt>.<br>
: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 17:40:02 UTC</tt>.<br>
: The original revision id was <tt>233288672</tt>.<br>
: The original revision id was <tt>233288968</tt>.<br>
: The revision comment was: <tt>Added comma table.</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>
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||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
|| 135/128 || | -7 3 1 &gt; || 92.18 || Major Chroma || Major Limma || Pelogic Comma ||
||= 135/128 || | -7 3 1 &gt; ||&gt; 92.18 ||= Major Chroma ||= Major Limma || Pelogic Comma ||
|| 16875/16384 || | -14 3 4 &gt; || 51.12 || Negri Comma || Double Augmentation Diesis ||  ||
||= 16875/16384 || | -14 3 4 &gt; ||&gt; 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||  ||
|| 128/125 || | 7 0 -3 &gt; || 41.06 || Diesis || Augmented Comma ||  ||
||= 128/125 || | 7 0 -3 &gt; ||&gt; 41.06 ||= Diesis ||= Augmented Comma ||  ||
|| 2109375/2097152 || | -21 3 7 &gt; || 10.06 || Semicomma || Fokker Comma ||  ||
||= 2109375/2097152 || | -21 3 7 &gt; ||&gt; 10.06 ||= Semicomma ||= Fokker Comma ||  ||
|| 36/35 || | 2 2 -1 -1 &gt; || 48.77 || Septimal Quarter Tone ||  ||  ||
||= 36/35 || | 2 2 -1 -1 &gt; ||&gt; 48.77 ||= Septimal Quarter Tone ||=   ||  ||
|| 525/512 || | -9 1 2 1 &gt; || 43.41 || Avicennma || Avicenna's Enharmonic Diesis ||  ||
||= 525/512 || | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||  ||
|| 49/48 || | -4 -1 2 &gt; || 35.70 || Slendro Diesis ||  ||  ||
||= 49/48 || | -4 -1 2 &gt; ||&gt; 35.70 ||= Slendro Diesis ||=   ||  ||
|| 686/675 || | 1 -3 -2 3 &gt; || 27.99 || Senga ||  ||  ||
||= 686/675 || | 1 -3 -2 3 &gt; ||&gt; 27.99 ||= Senga ||=   ||  ||
|| 2430/2401 || | 1 5 1 -4 &gt; || 20.79 || Nuwell ||  ||  ||
||= 2430/2401 || | 1 5 1 -4 &gt; ||&gt; 20.79 ||= Nuwell ||=   ||  ||
|| 1728/1715 || | 6 3 -1 -3 &gt; || 13.07 || Orwellisma || Orwell Comma ||  ||
||= 1728/1715 || | 6 3 -1 -3 &gt; ||&gt; 13.07 ||= Orwellisma ||= Orwell Comma ||  ||
|| 225/224 || | -5 2 2 -1 &gt; || 7.71 || Septimal Kleisma || Marvel Comma ||  ||
||= 225/224 || | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||  ||
|| 6144/6125 || | 11 1 -3 -2 &gt; || 5.36 || Porwell ||  ||  ||
||= 6144/6125 || | 11 1 -3 -2 &gt; ||&gt; 5.36 ||= Porwell ||=   ||  ||
|| 65625/65536 || | -16 1 5 1 &gt; || 2.35 || Horwell ||  ||  ||
||= 65625/65536 || | -16 1 5 1 &gt; ||&gt; 2.35 ||= Horwell ||=   ||  ||
|| 99/98 || | -1 2 -2 1 &gt; || 17.58 || Mothwellsma ||  ||  ||
||= 99/98 || | -1 2 -2 1 &gt; ||&gt; 17.58 ||= Mothwellsma ||=   ||  ||
|| 121/120 || | -3 -1 -1 2 &gt; || 14.37 || Biyatisma ||  ||  ||
||= 121/120 || | -3 -1 -1 2 &gt; ||&gt; 14.37 ||= Biyatisma ||=   ||  ||
|| 176/175 || | 4 -2 -1 1 &gt; || 9.86 || Valinorsma ||  ||  ||
||= 176/175 || | 4 -2 -1 1 &gt; ||&gt; 9.86 ||= Valinorsma ||=   ||  ||
|| 385/384 || | -7 -1 1 1 1 &gt; || 4.50 || Keenanisma ||  ||  ||
||= 385/384 || | -7 -1 1 1 1 &gt; ||&gt; 4.50 ||= Keenanisma ||=   ||  ||
|| 540/539 || | 2 3 1 -2 -1 &gt; || 3.21 || Swetisma ||  ||  ||
||= 540/539 || | 2 3 1 -2 -1 &gt; ||&gt; 3.21 ||= Swetisma ||=   ||  ||
|| 91/90 || | -1 -2 -1 1 1 &gt; || 19.13 || Superleap ||  ||  ||
||= 91/90 || | -1 -2 -1 1 1 &gt; ||&gt; 19.13 ||= Superleap ||=   ||  ||
|| 676/675 || | 2 -3 -2 2 &gt; || 2.56 || Parizeksma ||  ||  ||</pre></div>
||= 676/675 || | 2 -3 -2 2 &gt; ||&gt; 2.56 ||= Parizeksma ||=   ||  ||</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;9edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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 &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;7-limit&lt;/a&gt; intervals almost exactly. A 7-limit version of 9EDO goes&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;9edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;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 &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;7-limit&lt;/a&gt; intervals almost exactly. A 7-limit version of 9EDO goes&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;135/128&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;135/128&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -7 3 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -7 3 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;92.18&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;92.18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Chroma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Major Chroma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Limma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Major Limma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pelogic Comma&lt;br /&gt;
         &lt;td&gt;Pelogic Comma&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;16875/16384&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16875/16384&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -14 3 4 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -14 3 4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;51.12&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;51.12&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Negri Comma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Negri Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Double Augmentation Diesis&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Double Augmentation Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;128/125&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;128/125&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 7 0 -3 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 7 0 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;41.06&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;41.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diesis&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Comma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Augmented Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2109375/2097152&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2109375/2097152&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -21 3 7 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -21 3 7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;10.06&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;10.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Semicomma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Semicomma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Fokker Comma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Fokker Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;36/35&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;36/35&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 2 2 -1 -1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 2 2 -1 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;48.77&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;48.77&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Septimal Quarter Tone&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Septimal Quarter Tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;525/512&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;525/512&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;43.41&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;43.41&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Avicennma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Avicennma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;49/48&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;49/48&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -4 -1 2 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -4 -1 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;35.70&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;35.70&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Slendro Diesis&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Slendro Diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;686/675&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;686/675&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 1 -3 -2 3 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 1 -3 -2 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;27.99&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;27.99&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Senga&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Senga&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2430/2401&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2430/2401&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 1 5 1 -4 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 1 5 1 -4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;20.79&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;20.79&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Nuwell&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Nuwell&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1728/1715&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1728/1715&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 6 3 -1 -3 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 6 3 -1 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13.07&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;13.07&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Orwellisma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Orwellisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Orwell Comma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Orwell Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;225/224&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;225/224&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7.71&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;7.71&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Septimal Kleisma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Septimal Kleisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Marvel Comma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Marvel Comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6144/6125&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6144/6125&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 11 1 -3 -2 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 11 1 -3 -2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5.36&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;5.36&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Porwell&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Porwell&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;65625/65536&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;65625/65536&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -16 1 5 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -16 1 5 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2.35&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;2.35&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Horwell&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Horwell&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 276: Line 276:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;99/98&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;99/98&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -1 2 -2 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -1 2 -2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;17.58&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;17.58&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Mothwellsma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Mothwellsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 290: Line 290:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;121/120&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;121/120&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -3 -1 -1 2 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -3 -1 -1 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;14.37&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;14.37&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Biyatisma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Biyatisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 304: Line 304:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;176/175&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;176/175&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 4 -2 -1 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 4 -2 -1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9.86&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;9.86&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Valinorsma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Valinorsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 318: Line 318:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;385/384&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;385/384&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -7 -1 1 1 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -7 -1 1 1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4.50&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;4.50&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Keenanisma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Keenanisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 332: Line 332:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;540/539&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;540/539&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 2 3 1 -2 -1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 2 3 1 -2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3.21&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;3.21&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Swetisma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Swetisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 346: Line 346:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;91/90&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;91/90&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| -1 -2 -1 1 1 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| -1 -2 -1 1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;19.13&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;19.13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Superleap&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Superleap&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 360: Line 360:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;676/675&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;676/675&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 2 -3 -2 2 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 2 -3 -2 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2.56&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;2.56&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Parizeksma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Parizeksma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;

Revision as of 17:40, 31 May 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author jdfreivald and made on 2011-05-31 17:40:02 UTC.
The original revision id was 233288968.
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.

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]].

=Compositions= 

Nocturne in 9tet by [[Daniel Wolf]] (ref?)
[[http://www.h-pi.com/mp3/Prelude9ET.mp3|Prelude in 9ET]] by [[Aaron Andrew Hunt]]

==Commas== 
9 EDO tempers out the following commas. (Note: This assumes val < 9 14 21 25 31 33 |.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= 135/128 || | -7 3 1 > ||> 92.18 ||= Major Chroma ||= Major Limma || Pelogic Comma ||
||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||   ||
||= 128/125 || | 7 0 -3 > ||> 41.06 ||= Diesis ||= Augmented Comma ||   ||
||= 2109375/2097152 || | -21 3 7 > ||> 10.06 ||= Semicomma ||= Fokker Comma ||   ||
||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||=   ||   ||
||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||   ||
||= 49/48 || | -4 -1 2 > ||> 35.70 ||= Slendro Diesis ||=   ||   ||
||= 686/675 || | 1 -3 -2 3 > ||> 27.99 ||= Senga ||=   ||   ||
||= 2430/2401 || | 1 5 1 -4 > ||> 20.79 ||= Nuwell ||=   ||   ||
||= 1728/1715 || | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma ||   ||
||= 225/224 || | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma ||= Marvel Comma ||   ||
||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Porwell ||=   ||   ||
||= 65625/65536 || | -16 1 5 1 > ||> 2.35 ||= Horwell ||=   ||   ||
||= 99/98 || | -1 2 -2 1 > ||> 17.58 ||= Mothwellsma ||=   ||   ||
||= 121/120 || | -3 -1 -1 2 > ||> 14.37 ||= Biyatisma ||=   ||   ||
||= 176/175 || | 4 -2 -1 1 > ||> 9.86 ||= Valinorsma ||=   ||   ||
||= 385/384 || | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||=   ||   ||
||= 540/539 || | 2 3 1 -2 -1 > ||> 3.21 ||= Swetisma ||=   ||   ||
||= 91/90 || | -1 -2 -1 1 1 > ||> 19.13 ||= Superleap ||=   ||   ||
||= 676/675 || | 2 -3 -2 2 > ||> 2.56 ||= Parizeksma ||=   ||   ||

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 &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 />
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 />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Compositions</h1>
 <br />
Nocturne in 9tet by <a class="wiki_link" href="/Daniel%20Wolf">Daniel Wolf</a> (ref?)<br />
<a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Prelude9ET.mp3" rel="nofollow">Prelude in 9ET</a> by <a class="wiki_link" href="/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Compositions-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 />
<br />


<table class="wiki_table">
    <tr>
        <th>Comma<br />
</th>
        <th>Monzo<br />
</th>
        <th>Value (Cents)<br />
</th>
        <th>Name 1<br />
</th>
        <th>Name 2<br />
</th>
        <th>Name 3<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">135/128<br />
</td>
        <td>| -7 3 1 &gt;<br />
</td>
        <td style="text-align: right;">92.18<br />
</td>
        <td style="text-align: center;">Major Chroma<br />
</td>
        <td style="text-align: center;">Major Limma<br />
</td>
        <td>Pelogic Comma<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">16875/16384<br />
</td>
        <td>| -14 3 4 &gt;<br />
</td>
        <td style="text-align: right;">51.12<br />
</td>
        <td style="text-align: center;">Negri Comma<br />
</td>
        <td style="text-align: center;">Double Augmentation Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">128/125<br />
</td>
        <td>| 7 0 -3 &gt;<br />
</td>
        <td style="text-align: right;">41.06<br />
</td>
        <td style="text-align: center;">Diesis<br />
</td>
        <td style="text-align: center;">Augmented Comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2109375/2097152<br />
</td>
        <td>| -21 3 7 &gt;<br />
</td>
        <td style="text-align: right;">10.06<br />
</td>
        <td style="text-align: center;">Semicomma<br />
</td>
        <td style="text-align: center;">Fokker Comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">36/35<br />
</td>
        <td>| 2 2 -1 -1 &gt;<br />
</td>
        <td style="text-align: right;">48.77<br />
</td>
        <td style="text-align: center;">Septimal Quarter Tone<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">525/512<br />
</td>
        <td>| -9 1 2 1 &gt;<br />
</td>
        <td style="text-align: right;">43.41<br />
</td>
        <td style="text-align: center;">Avicennma<br />
</td>
        <td style="text-align: center;">Avicenna's Enharmonic Diesis<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">49/48<br />
</td>
        <td>| -4 -1 2 &gt;<br />
</td>
        <td style="text-align: right;">35.70<br />
</td>
        <td style="text-align: center;">Slendro Diesis<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">686/675<br />
</td>
        <td>| 1 -3 -2 3 &gt;<br />
</td>
        <td style="text-align: right;">27.99<br />
</td>
        <td style="text-align: center;">Senga<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2430/2401<br />
</td>
        <td>| 1 5 1 -4 &gt;<br />
</td>
        <td style="text-align: right;">20.79<br />
</td>
        <td style="text-align: center;">Nuwell<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1728/1715<br />
</td>
        <td>| 6 3 -1 -3 &gt;<br />
</td>
        <td style="text-align: right;">13.07<br />
</td>
        <td style="text-align: center;">Orwellisma<br />
</td>
        <td style="text-align: center;">Orwell Comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">225/224<br />
</td>
        <td>| -5 2 2 -1 &gt;<br />
</td>
        <td style="text-align: right;">7.71<br />
</td>
        <td style="text-align: center;">Septimal Kleisma<br />
</td>
        <td style="text-align: center;">Marvel Comma<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6144/6125<br />
</td>
        <td>| 11 1 -3 -2 &gt;<br />
</td>
        <td style="text-align: right;">5.36<br />
</td>
        <td style="text-align: center;">Porwell<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">65625/65536<br />
</td>
        <td>| -16 1 5 1 &gt;<br />
</td>
        <td style="text-align: right;">2.35<br />
</td>
        <td style="text-align: center;">Horwell<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">99/98<br />
</td>
        <td>| -1 2 -2 1 &gt;<br />
</td>
        <td style="text-align: right;">17.58<br />
</td>
        <td style="text-align: center;">Mothwellsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">121/120<br />
</td>
        <td>| -3 -1 -1 2 &gt;<br />
</td>
        <td style="text-align: right;">14.37<br />
</td>
        <td style="text-align: center;">Biyatisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">176/175<br />
</td>
        <td>| 4 -2 -1 1 &gt;<br />
</td>
        <td style="text-align: right;">9.86<br />
</td>
        <td style="text-align: center;">Valinorsma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">385/384<br />
</td>
        <td>| -7 -1 1 1 1 &gt;<br />
</td>
        <td style="text-align: right;">4.50<br />
</td>
        <td style="text-align: center;">Keenanisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">540/539<br />
</td>
        <td>| 2 3 1 -2 -1 &gt;<br />
</td>
        <td style="text-align: right;">3.21<br />
</td>
        <td style="text-align: center;">Swetisma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">91/90<br />
</td>
        <td>| -1 -2 -1 1 1 &gt;<br />
</td>
        <td style="text-align: right;">19.13<br />
</td>
        <td style="text-align: center;">Superleap<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">676/675<br />
</td>
        <td>| 2 -3 -2 2 &gt;<br />
</td>
        <td style="text-align: right;">2.56<br />
</td>
        <td style="text-align: center;">Parizeksma<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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