581edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 556738595 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 556761097 - 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:genewardsmith|genewardsmith]] and made on <tt>2015-08- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-16 12:57:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>556761097</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 //581 equal division// divides the octave into 581 equal steps of 2.065 cents each. It is uniquely [[consistent]] to the 25-limit. It tempers out 2401/2400 in the 7-limit, 3025/2025, 19712/19683, 151263/151250 in the 11-limit, and 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647 in the 13-limit. It supports and gives a good tuning for the 41&229 microtemperament, which has a neutral thirds generator. It is the first division after 270 with a lower 19-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], and the first past 311 with a lower 23-limit relative error.</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">The //581 equal division// divides the octave into 581 equal steps of 2.065 cents each. It is a very strong 19- and 23-limit system, uniquely [[consistent]] to the 25-limit. It tempers out 2401/2400 in the 7-limit, 3025/2025, 19712/19683, 151263/151250 in the 11-limit, and 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647 in the 13-limit. It supports and gives a good tuning for the 41&229 microtemperament, which has a neutral thirds generator. It is the first division after 270 with a lower 19-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], and the first past 311 with a lower 23-limit relative error, and not until [[1578edo|1578]] do we reach a lower 23-limit relative error.</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>581edo</title></head><body>The <em>581 equal division</em> divides the octave into 581 equal steps of 2.065 cents each. It is uniquely <a class="wiki_link" href="/consistent">consistent</a> to the 25-limit. It tempers out 2401/2400 in the 7-limit, 3025/2025, 19712/19683, 151263/151250 in the 11-limit, and 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647 in the 13-limit. It supports and gives a good tuning for the 41&amp;229 microtemperament, which has a neutral thirds generator. It is the first division after 270 with a lower 19-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>, and the first past 311 with a lower 23-limit relative error.</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>581edo</title></head><body>The <em>581 equal division</em> divides the octave into 581 equal steps of 2.065 cents each. It is a very strong 19- and 23-limit system, uniquely <a class="wiki_link" href="/consistent">consistent</a> to the 25-limit. It tempers out 2401/2400 in the 7-limit, 3025/2025, 19712/19683, 151263/151250 in the 11-limit, and 2080/2079, 4096/4095, 4225/4224, 6656/6655 and 10648/10647 in the 13-limit. It supports and gives a good tuning for the 41&amp;229 microtemperament, which has a neutral thirds generator. It is the first division after 270 with a lower 19-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>, and the first past 311 with a lower 23-limit relative error, and not until <a class="wiki_link" href="/1578edo">1578</a> do we reach a lower 23-limit relative error.</body></html></pre></div> | ||