Mercator's comma

Revision as of 21:26, 27 August 2011 by Wikispaces>genewardsmith (**Imported revision 248845799 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-08-27 21:26:47 UTC.
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Original Wikitext content:

|-84 53>, 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]].

Original HTML content:

<html><head><title>Mercator's comma</title></head><body>|-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 <a class="wiki_link" href="/53edo">53edo</a>, <a class="wiki_link" href="/159edo">159edo</a>, <a class="wiki_link" href="/212edo">212edo</a>, <a class="wiki_link" href="/265edo">265edo</a>, <a class="wiki_link" href="/742edo">742edo</a>.</body></html>