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| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <span style="display: block; text-align: right;">[[6平均律|日本語]]</span> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-22 19:11:04 UTC</tt>.<br>
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| : The original revision id was <tt>615831797</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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"><span style="display: block; text-align: right;">[[6平均律|日本語]]
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| </span>
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| =6 Equal Divisions of the Octave=
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| ==="whole tone"===
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| **6-edo** divides the 1200-[[cents|cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2.
| | =6 Equal Divisions of the Octave= |
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| ==Related EDOs== | | ==="whole tone"=== |
| * Superset: [[2edo]], [[3edo]]
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| * Supersets: [[12edo]], [[18edo]], [[24edo]]...
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| * Neighbours: [[5edo]], [[7edo]]
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| ==Notation==
| | '''6-edo''' divides the 1200-[[cents|cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. |
| * Notatable on a five-line staff with standard.
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| ==Music== | | ==Related EDOs== |
| [[http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html|Dvandva]] by Milan Guštar. | | <ul><li>Superset: [[2edo|2edo]], [[3edo|3edo]]</li><li>Supersets: [[12edo|12edo]], [[18edo|18edo]], [[24edo|24edo]]...</li><li>Neighbours: [[5edo|5edo]], [[7edo|7edo]]</li></ul> |
| [[http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3|The Good Boundless]] by Chris Vaisvil | |
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| ==Commas== | | ==Notation== |
| 6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.)
| | <ul><li>Notatable on a five-line staff with standard.</li></ul> |
| ||~ Comma ||~ Value (cents) ||~ Name ||~ Second Name ||~ Val ||
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| ||= 32/27 ||> 294.13 || Pythagorean minor third || || | 5 -3 > ||
| | ==Music== |
| ||= 128/125 ||> 41.06 || Diesis || Augmented Comma || | 7 0 -3 > ||
| | [http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html Dvandva] by Milan Guštar. |
| ||= 3125/3072 ||> 29.61 || Small Diesis || Magic Comma || | -10 -1 5 > ||
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| ||= 393216/390625 ||> 11.45 || Wuerschmidt Comma || || | 17 1 -8 > ||
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| ||= 2783927/2773137 ||> 6.72 || Mutt Comma || || | -44 -3 21 > ||
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| ||= 49/48 ||> 35.70 || Slendro Diesis || || | -4 -1 0 2 > ||
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| ||= 50/49 ||> 34.98 || Tritonic Diesis || Jubilisma || | 1 0 2 -2 > ||
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| ||= 3136/3125 ||> 6.08 || Hemimean || || | 6 0 -5 2 > ||
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| ||= 6144/6125 ||> 5.36 || Porwell || || | 11 1 -3 -2 > ||
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| ||= 2401/2400 ||> 0.72 || Breedsma || || | -5 -1 -2 4 > ||
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| ||= 121/120 ||> 14.37 || Biyatisma || || | -3 -1 -1 0 2 > ||
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| ||= 176/175 ||> 9.86 || Valinorsma || || | 4 0 -2 -1 1 > ||
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| ||= 385/384 ||> 4.50 || Keenanisma || || | -7 -1 1 1 1 > ||
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| [[media type="custom" key="15381610"]]</pre></div> | | [http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3 The Good Boundless] by Chris Vaisvil |
| <h4>Original HTML content:</h4>
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| <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>6edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/6%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br />
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| </span><br />
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| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x6 Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:1 -->6 Equal Divisions of the Octave</h1>
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| <!-- ws:start:WikiTextHeadingRule:3:&lt;h3&gt; --><h3 id="toc1"><a name="x6 Equal Divisions of the Octave--&quot;whole tone&quot;"></a><!-- ws:end:WikiTextHeadingRule:3 -->&quot;whole tone&quot;</h3>
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| <br />
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| <strong>6-edo</strong> divides the 1200-<a class="wiki_link" href="/cents">cent</a> octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x6 Equal Divisions of the Octave-Related EDOs"></a><!-- ws:end:WikiTextHeadingRule:5 -->Related EDOs</h2>
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| <ul><li>Superset: <a class="wiki_link" href="/2edo">2edo</a>, <a class="wiki_link" href="/3edo">3edo</a></li><li>Supersets: <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/18edo">18edo</a>, <a class="wiki_link" href="/24edo">24edo</a>...</li><li>Neighbours: <a class="wiki_link" href="/5edo">5edo</a>, <a class="wiki_link" href="/7edo">7edo</a></li></ul><br />
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| <!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="x6 Equal Divisions of the Octave-Notation"></a><!-- ws:end:WikiTextHeadingRule:7 -->Notation</h2>
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| <ul><li>Notatable on a five-line staff with standard.</li></ul><br />
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| <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="x6 Equal Divisions of the Octave-Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h2>
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| <a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html" rel="nofollow">Dvandva</a> by Milan Guštar.<br />
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| <a class="wiki_link_ext" href="http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3" rel="nofollow">The Good Boundless</a> by Chris Vaisvil<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="x6 Equal Divisions of the Octave-Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h2>
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| 6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)<br />
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| | ==Commas== |
| | 6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.) |
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| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <th>Comma<br />
| | ! | Comma |
| </th>
| | ! | Value (cents) |
| <th>Value (cents)<br />
| | ! | Name |
| </th>
| | ! | Second Name |
| <th>Name<br />
| | ! | Val |
| </th>
| | |- |
| <th>Second Name<br />
| | | style="text-align:center;" | 32/27 |
| </th>
| | | style="text-align:right;" | 294.13 |
| <th>Val<br />
| | | | Pythagorean minor third |
| </th>
| | | | |
| </tr>
| | | | | 5 -3 > |
| <tr>
| | |- |
| <td style="text-align: center;">32/27<br />
| | | style="text-align:center;" | 128/125 |
| </td>
| | | style="text-align:right;" | 41.06 |
| <td style="text-align: right;">294.13<br />
| | | | Diesis |
| </td>
| | | | Augmented Comma |
| <td>Pythagorean minor third<br />
| | | | | 7 0 -3 > |
| </td>
| | |- |
| <td><br />
| | | style="text-align:center;" | 3125/3072 |
| </td>
| | | style="text-align:right;" | 29.61 |
| <td>| 5 -3 &gt;<br />
| | | | Small Diesis |
| </td>
| | | | Magic Comma |
| </tr>
| | | | | -10 -1 5 > |
| <tr>
| | |- |
| <td style="text-align: center;">128/125<br />
| | | style="text-align:center;" | 393216/390625 |
| </td>
| | | style="text-align:right;" | 11.45 |
| <td style="text-align: right;">41.06<br />
| | | | Wuerschmidt Comma |
| </td>
| | | | |
| <td>Diesis<br />
| | | | | 17 1 -8 > |
| </td>
| | |- |
| <td>Augmented Comma<br />
| | | style="text-align:center;" | 2783927/2773137 |
| </td>
| | | style="text-align:right;" | 6.72 |
| <td>| 7 0 -3 &gt;<br />
| | | | Mutt Comma |
| </td>
| | | | |
| </tr>
| | | | | -44 -3 21 > |
| <tr>
| | |- |
| <td style="text-align: center;">3125/3072<br />
| | | style="text-align:center;" | 49/48 |
| </td>
| | | style="text-align:right;" | 35.70 |
| <td style="text-align: right;">29.61<br />
| | | | Slendro Diesis |
| </td>
| | | | |
| <td>Small Diesis<br />
| | | | | -4 -1 0 2 > |
| </td>
| | |- |
| <td>Magic Comma<br />
| | | style="text-align:center;" | 50/49 |
| </td>
| | | style="text-align:right;" | 34.98 |
| <td>| -10 -1 5 &gt;<br />
| | | | Tritonic Diesis |
| </td>
| | | | Jubilisma |
| </tr>
| | | | | 1 0 2 -2 > |
| <tr>
| | |- |
| <td style="text-align: center;">393216/390625<br />
| | | style="text-align:center;" | 3136/3125 |
| </td>
| | | style="text-align:right;" | 6.08 |
| <td style="text-align: right;">11.45<br />
| | | | Hemimean |
| </td>
| | | | |
| <td>Wuerschmidt Comma<br />
| | | | | 6 0 -5 2 > |
| </td>
| | |- |
| <td><br />
| | | style="text-align:center;" | 6144/6125 |
| </td>
| | | style="text-align:right;" | 5.36 |
| <td>| 17 1 -8 &gt;<br />
| | | | Porwell |
| </td>
| | | | |
| </tr>
| | | | | 11 1 -3 -2 > |
| <tr>
| | |- |
| <td style="text-align: center;">2783927/2773137<br />
| | | style="text-align:center;" | 2401/2400 |
| </td>
| | | style="text-align:right;" | 0.72 |
| <td style="text-align: right;">6.72<br />
| | | | Breedsma |
| </td>
| | | | |
| <td>Mutt Comma<br />
| | | | | -5 -1 -2 4 > |
| </td>
| | |- |
| <td><br />
| | | style="text-align:center;" | 121/120 |
| </td>
| | | style="text-align:right;" | 14.37 |
| <td>| -44 -3 21 &gt;<br />
| | | | Biyatisma |
| </td>
| | | | |
| </tr>
| | | | | -3 -1 -1 0 2 > |
| <tr>
| | |- |
| <td style="text-align: center;">49/48<br />
| | | style="text-align:center;" | 176/175 |
| </td>
| | | style="text-align:right;" | 9.86 |
| <td style="text-align: right;">35.70<br />
| | | | Valinorsma |
| </td>
| | | | |
| <td>Slendro Diesis<br />
| | | | | 4 0 -2 -1 1 > |
| </td>
| | |- |
| <td><br />
| | | style="text-align:center;" | 385/384 |
| </td>
| | | style="text-align:right;" | 4.50 |
| <td>| -4 -1 0 2 &gt;<br />
| | | | Keenanisma |
| </td>
| | | | |
| </tr>
| | | | | -7 -1 1 1 1 > |
| <tr>
| | |} |
| <td style="text-align: center;">50/49<br />
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| </td>
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| <td style="text-align: right;">34.98<br />
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| </td>
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| <td>Tritonic Diesis<br />
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| </td>
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| <td>Jubilisma<br />
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| </td>
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| <td>| 1 0 2 -2 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">3136/3125<br />
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| </td>
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| <td style="text-align: right;">6.08<br />
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| </td>
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| <td>Hemimean<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| 6 0 -5 2 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">6144/6125<br />
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| </td>
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| <td style="text-align: right;">5.36<br />
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| </td>
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| <td>Porwell<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| 11 1 -3 -2 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">2401/2400<br />
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| </td>
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| <td style="text-align: right;">0.72<br />
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| </td>
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| <td>Breedsma<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| -5 -1 -2 4 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">121/120<br />
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| </td>
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| <td style="text-align: right;">14.37<br />
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| </td>
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| <td>Biyatisma<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| -3 -1 -1 0 2 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">176/175<br />
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| </td>
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| <td style="text-align: right;">9.86<br />
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| </td>
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| <td>Valinorsma<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| 4 0 -2 -1 1 &gt;<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;">385/384<br />
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| </td>
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| <td style="text-align: right;">4.50<br />
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| </td>
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| <td>Keenanisma<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| -7 -1 1 1 1 &gt;<br />
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| </td>
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| </tr>
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| </table>
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| <br />
| | [[Category:6-tone]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/15381610?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;15381610&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js">
| | [[Category:6edo]] |
| </script><!-- ws:end:WikiTextMediaRule:0 --></body></html></pre></div>
| | [[Category:edo]] |
| | [[Category:listen]] |
| | [[Category:macrotonal]] |
| | [[Category:scale]] |
| | [[Category:subgroup]] |
| | [[Category:todo:unify_precision]] |