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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The Pythagorean or ditonic comma (about 23.460¢) is the interval 531441/524288 = |-19 12> (see [[monzo|monzo]]). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)^12/2^7 and it also can be written as the ratio between the [[2187/2048|apotome]] and the [[256/243|Pythagorean minor second]], (2187/2048)/(256/243). For EDOs up to 300, it is tempered out if and only if the EDO is a multiple of 12, and hence for instance by [[24edo|24edo]], [[72edo|72edo]] and [[84edo|84edo]]. |
| 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-05 21:40:32 UTC</tt>.<br>
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| : The original revision id was <tt>282666442</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">The Pythagorean or ditonic comma (about 23.460¢) is the interval 531441/524288 = |-19 12> (see [[monzo]]). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)^12/2^7 and it also can be written as the ratio between the [[2187_2048|apotome]] and the [[256_243|Pythagorean minor second]], (2187/2048)/(256/243). For EDOs up to 300, it is tempered out if and only if the EDO is a multiple of 12, and hence for instance by [[24edo]], [[72edo]] and [[84edo]].
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| See: [[Gallery of Just Intervals]], [[comma]] | | See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[Comma|comma]] |
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| [[http://en.wikipedia.org/wiki/Pythagorean_comma|Wikipedia article]]</pre></div>
| | [http://en.wikipedia.org/wiki/Pythagorean_comma Wikipedia article] [[Category:comma]] |
| <h4>Original HTML content:</h4>
| | [[Category:pythagorean]] |
| <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>Pythagorean comma</title></head><body>The Pythagorean or ditonic comma (about 23.460¢) is the interval 531441/524288 = |-19 12&gt; (see <a class="wiki_link" href="/monzo">monzo</a>). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)^12/2^7 and it also can be written as the ratio between the <a class="wiki_link" href="/2187_2048">apotome</a> and the <a class="wiki_link" href="/256_243">Pythagorean minor second</a>, (2187/2048)/(256/243). For EDOs up to 300, it is tempered out if and only if the EDO is a multiple of 12, and hence for instance by <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/72edo">72edo</a> and <a class="wiki_link" href="/84edo">84edo</a>.<br />
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/comma">comma</a><br />
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| <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pythagorean_comma" rel="nofollow">Wikipedia article</a></body></html></pre></div>
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The Pythagorean or ditonic comma (about 23.460¢) is the interval 531441/524288 = |-19 12> (see monzo). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)^12/2^7 and it also can be written as the ratio between the apotome and the Pythagorean minor second, (2187/2048)/(256/243). For EDOs up to 300, it is tempered out if and only if the EDO is a multiple of 12, and hence for instance by 24edo, 72edo and 84edo.
See: Gallery of Just Intervals, comma
Wikipedia article