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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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|23edo]] and [[Quarter-comma_meantone|quarter-comma meantone]]". As a meantone system, it is on the flat side, with a fifth of 695.652 cents. It is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to "Synch-Meantone", or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2018-05-16 04:31:05 UTC</tt>.<br>
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| : The original revision id was <tt>629821099</tt>.<br>
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| : The revision comment was: <tt>added links to interval pages</tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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 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. It is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to "Synch-Meantone", or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes.
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| In the 7-limit it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as [[126_125|126/125]] maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with [[81_80|81/80]]. In the 11-limit it tempers out [[99_98|99/98]], and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.</pre></div> | | In the 7-limit it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as [[126/125|126/125]] maps to one step. It also supports the 12&69 temperament tempering out 3125/3087 along with [[81/80|81/80]]. In the 11-limit it tempers out [[99/98|99/98]], and supports the 31&69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69. |
| <h4>Original HTML content:</h4>
| | [[Category:meantone]] |
| <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>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. It is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to &quot;Synch-Meantone&quot;, or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes.<br />
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| In the 7-limit it is a mohajira system, tempering out 6144/6125, but not a septimal meantone system, as <a class="wiki_link" href="/126_125">126/125</a> maps to one step. It also supports the 12&amp;69 temperament tempering out 3125/3087 along with <a class="wiki_link" href="/81_80">81/80</a>. In the 11-limit it tempers out <a class="wiki_link" href="/99_98">99/98</a>, and supports the 31&amp;69 variant of mohajira, identical to the standard 11-limit mohajira in 31 but not in 69.</body></html></pre></div>
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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. It is closer to 2/7-comma meantone than 1/4-comma, and is nearly identical to "Synch-Meantone", or Wilson's equal beating meantone, wherein the perfect fifth and the major third beat at equal rates. Therefore 69edo can be treated as a closed system of Synch-Meantone for most purposes.
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.