127edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 239839467 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 287019768 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-17 02:21:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>287019768</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">**127edo**, which divides the [[octave]] into 127 parts of 9.45 [[cents]] each, is another equal division interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]. In the [[5-limit]], it tempers out the wuerschmidt comma, 393216/390625 and hence supports [[Wuerschmidt family|wuerschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the [[11-limit]], it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.</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">**127edo**, which divides the [[octave]] into 127 parts of 9.45 [[cents]] each, is another equal division interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]. In the [[5-limit]], it tempers out the wuerschmidt comma, 393216/390625 and hence supports [[Wuerschmidt family|wuerschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the [[11-limit]], it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val. | ||
[[MOS Scales of 127edo]]</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>127edo</title></head><body><strong>127edo</strong>, which divides the <a class="wiki_link" href="/octave">octave</a> into 127 parts of 9.45 <a class="wiki_link" href="/cents">cents</a> each, is another equal division interesting because of its approximations, defined by the <a class="wiki_link" href="/comma">comma</a>s it <a class="wiki_link" href="/tempering%20out">tempers out</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a>, it tempers out the wuerschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/Wuerschmidt%20family">wuerschmidt temperament</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension (&quot;wurschmidt&quot;) of wuerschmidt which tempers this out also. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.</body></html></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"><html><head><title>127edo</title></head><body><strong>127edo</strong>, which divides the <a class="wiki_link" href="/octave">octave</a> into 127 parts of 9.45 <a class="wiki_link" href="/cents">cents</a> each, is another equal division interesting because of its approximations, defined by the <a class="wiki_link" href="/comma">comma</a>s it <a class="wiki_link" href="/tempering%20out">tempers out</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a>, it tempers out the wuerschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/Wuerschmidt%20family">wuerschmidt temperament</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension (&quot;wurschmidt&quot;) of wuerschmidt which tempers this out also. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.<br /> | ||
<br /> | |||
<a class="wiki_link" href="/MOS%20Scales%20of%20127edo">MOS Scales of 127edo</a></body></html></pre></div> | |||
Revision as of 02:21, 17 December 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2011-12-17 02:21:35 UTC.
- The original revision id was 287019768.
- 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:
**127edo**, which divides the [[octave]] into 127 parts of 9.45 [[cents]] each, is another equal division interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]. In the [[5-limit]], it tempers out the wuerschmidt comma, 393216/390625 and hence supports [[Wuerschmidt family|wuerschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the [[11-limit]], it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.
[[MOS Scales of 127edo]]Original HTML content:
<html><head><title>127edo</title></head><body><strong>127edo</strong>, which divides the <a class="wiki_link" href="/octave">octave</a> into 127 parts of 9.45 <a class="wiki_link" href="/cents">cents</a> each, is another equal division interesting because of its approximations, defined by the <a class="wiki_link" href="/comma">comma</a>s it <a class="wiki_link" href="/tempering%20out">tempers out</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a>, it tempers out the wuerschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/Wuerschmidt%20family">wuerschmidt temperament</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the <a class="wiki_link" href="/11-limit">11-limit</a>, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175, for which it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.<br /> <br /> <a class="wiki_link" href="/MOS%20Scales%20of%20127edo">MOS Scales of 127edo</a></body></html>