69edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 405270784 - Original comment: ** |
Wikispaces>kai.lugheidh **Imported revision 629810669 - 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: | : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2018-05-15 17:21:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>629810669</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">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 | <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. | ||
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.</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"><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 | <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 /> | ||
<br /> | |||
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></pre></div> | |||
Revision as of 17:21, 15 May 2018
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author kai.lugheidh and made on 2018-05-15 17:21:24 UTC.
- The original revision id was 629810669.
- 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. 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.
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 "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>". 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.<br /> <br /> 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.</body></html>