Harrison's comma: Difference between revisions

Wikispaces>jdfreivald
**Imported revision 575328013 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
59049/57344, or Harrison's [[Comma|comma]], is the amount by which ten 3/2s exceed 7/4 <span style="line-height: 1.5;">(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in [[Meantone_family|septimal meantone]]</span>, where ten generators is mapped to 7/4<span style="line-height: 1.5;">.</span>
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>2016-02-19 20:40:25 UTC</tt>.<br>
: The original revision id was <tt>575328013</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>
<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">59049/57344, or Harrison's [[comma]], is the amount by which ten 3/2s exceed 7/4 &lt;span style="line-height: 1.5;"&gt;(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in [[Meantone family|septimal meantone]]&lt;/span&gt;, where ten generators is mapped to 7/4&lt;span style="line-height: 1.5;"&gt;.&lt;/span&gt;


Its [[monzo]] is | -13 10 0 -1 &gt;
Its [[monzo|monzo]] is | -13 10 0 -1 &gt;


&lt;span style="line-height: 1.5;"&gt;Its value is &lt;/span&gt;&lt;span style="text-align: -webkit-right;"&gt;50.72410 cents.&lt;/span&gt;
<span style="line-height: 1.5;">Its value is </span><span style="text-align: -webkit-right;">50.72410 cents.</span>


&lt;span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;"&gt;
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;">
|| 59049/57344 ||
&lt;/span&gt;</pre></div>
<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;59049_57344&lt;/title&gt;&lt;/head&gt;&lt;body&gt;59049/57344, or Harrison's &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;, is the amount by which ten 3/2s exceed 7/4 &lt;span style="line-height: 1.5;"&gt;(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in &lt;a class="wiki_link" href="/Meantone%20family"&gt;septimal meantone&lt;/a&gt;&lt;/span&gt;, where ten generators is mapped to 7/4&lt;span style="line-height: 1.5;"&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
Its &lt;a class="wiki_link" href="/monzo"&gt;monzo&lt;/a&gt; is | -13 10 0 -1 &amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style="line-height: 1.5;"&gt;Its value is &lt;/span&gt;&lt;span style="text-align: -webkit-right;"&gt;50.72410 cents.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;"&gt;&lt;br /&gt;


 
{| class="wikitable"
&lt;table class="wiki_table"&gt;
|-
    &lt;tr&gt;
| | 59049/57344
        &lt;td&gt;59049/57344&lt;br /&gt;
|}
&lt;/td&gt;
</span>
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>