69edo

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Revision as of 13:54, 7 February 2013 by Wikispaces>genewardsmith (**Imported revision 405270784 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2013-02-07 13:54:33 UTC.
The original revision id was 405270784.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The 69 equal division, which divides the octave into 69 equal parts of 17.391 cents each, has been called  "the love-child of [[23edo]] and [[quarter-comma meantone]]". As a meantone system, it is on the flat side, with a fifth of 695.652 cents, and could better be described as approximately 2/7-comma meantone. In the 7-limit it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as 126/125 maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with 81/80. In the 11-limit it tempers out 99/98, and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.

Original HTML content:

<html><head><title>69edo</title></head><body>The 69 equal division, which divides the octave into 69 equal parts of 17.391 cents each, has been called  &quot;the love-child of <a class="wiki_link" href="/23edo">23edo</a> and <a class="wiki_link" href="/quarter-comma%20meantone">quarter-comma meantone</a>&quot;. As a meantone system, it is on the flat side, with a fifth of 695.652 cents, and could better be described as approximately 2/7-comma meantone. In the 7-limit it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as 126/125 maps to one step. It also supports the 12&amp;69 temperament tempering out 3125/3087 along with 81/80. In the 11-limit it tempers out 99/98, and supports the 31&amp;69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.</body></html>