Mercator's comma: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248845721 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 248845799 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-08-27 21:26:05 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-27 21:26:47 UTC</tt>.<br>
: The original revision id was <tt>248845721</tt>.<br>
: The original revision id was <tt>248845799</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">|-84 53&gt;, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include [[53edo]], [[106edo]], [[159edo]], [[212edo]], [[265edo]], [[530edo]], [[583edo]], [[689edo]], [[742edo]].</pre></div>
<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">|-84 53&gt;, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include [[53edo]], [[159edo]], [[212edo]], [[265edo]], [[742edo]].</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;Mercator's comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;|-84 53&amp;gt;, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, &lt;a class="wiki_link" href="/106edo"&gt;106edo&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159edo&lt;/a&gt;, &lt;a class="wiki_link" href="/212edo"&gt;212edo&lt;/a&gt;, &lt;a class="wiki_link" href="/265edo"&gt;265edo&lt;/a&gt;, &lt;a class="wiki_link" href="/530edo"&gt;530edo&lt;/a&gt;, &lt;a class="wiki_link" href="/583edo"&gt;583edo&lt;/a&gt;, &lt;a class="wiki_link" href="/689edo"&gt;689edo&lt;/a&gt;, &lt;a class="wiki_link" href="/742edo"&gt;742edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
<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;Mercator's comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;|-84 53&amp;gt;, known as Mercator's comma or the 53-comma, is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)^53/2^31. For equal divisions N up to 8745, the comma is tempered out if and only if 53 divides N. Examples of such EDOs include &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159edo&lt;/a&gt;, &lt;a class="wiki_link" href="/212edo"&gt;212edo&lt;/a&gt;, &lt;a class="wiki_link" href="/265edo"&gt;265edo&lt;/a&gt;, &lt;a class="wiki_link" href="/742edo"&gt;742edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>