64/63: Difference between revisions
Wikispaces>genewardsmith **Imported revision 244913195 - Original comment: ** |
Wikispaces>Sarzadoce **Imported revision 245075175 - 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:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 14:50:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>245075175</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 **septimal** or **Archytas comma**, 64/63, equates [[9_8|9/8]] and [[8_7|8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7_4|7/4]] with [[16_9|16/9]], so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the utonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59. | <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 **septimal** or **Archytas comma**, 64/63, is a [[superparticular|superparticular ratio]] which equates [[9_8|9/8]] and [[8_7|8/7]] if tempered out and has the eighth square number as a numerator. It also equates [[7_4|7/4]] with [[16_9|16/9]], so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the utonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59. | ||
[[http://en.wikipedia.org/wiki/Septimal_comma]] | [[http://en.wikipedia.org/wiki/Septimal_comma]]</pre></div> | ||
</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>64_63</title></head><body>The <strong>septimal</strong> or <strong>Archytas comma</strong>, 64/63, equates <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/8_7">8/7</a> if tempered out and has the eighth square number as a numerator. It also equates <a class="wiki_link" href="/7_4">7/4</a> with <a class="wiki_link" href="/16_9">16/9</a>, so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the utonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59.<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>64_63</title></head><body>The <strong>septimal</strong> or <strong>Archytas comma</strong>, 64/63, is a <a class="wiki_link" href="/superparticular">superparticular ratio</a> which equates <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/8_7">8/7</a> if tempered out and has the eighth square number as a numerator. It also equates <a class="wiki_link" href="/7_4">7/4</a> with <a class="wiki_link" href="/16_9">16/9</a>, so that the just dominant seventh chord, 1-5/4-3/2-16/9, and the utonal tetrad, 1-5/4-3/2-7/4, are equated to the same chord when 64/63 is tempered out. Equal divisions of the octave tempering out 64/63 include 12, 15, 22, 27, 37, 49 and 59.<br /> | ||
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<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_comma" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_comma</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_comma" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_comma</a></body></html></pre></div> | ||