127edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 288013272 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 288887301 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2011-12-31 02:11:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288887301</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 würschmidt comma, 393216/390625 and hence supports [[Würschmidt family|würschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension of würschmidt 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 würschmidt, 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. | <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 würschmidt comma, 393216/390625 and hence supports [[Würschmidt family|würschmidt temperament]]. In the [[7-limit]], it also tempers out 225/224, and is an excellent tuning for the 7-limit extension of würschmidt 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 würschmidt, 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. | ||
127edo is the 31st [[prime numbers|prime]] edo. | |||
[[MOS Scales of 127edo]]</pre></div> | [[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 würschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/W%C3%BCrschmidt%20family">würschmidt 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 of würschmidt 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 würschmidt, 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 /> | <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 würschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/W%C3%BCrschmidt%20family">würschmidt 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 of würschmidt 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 würschmidt, 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 /> | |||
127edo is the 31st <a class="wiki_link" href="/prime%20numbers">prime</a> edo.<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/MOS%20Scales%20of%20127edo">MOS Scales of 127edo</a></body></html></pre></div> | <a class="wiki_link" href="/MOS%20Scales%20of%20127edo">MOS Scales of 127edo</a></body></html></pre></div> | ||