1600edo: Difference between revisions

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**Imported revision 556762361 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The '''1600''' equal division divides the octave into 1600 equal parts of exactly 0.75 cents each. It is a very strong 37-limit system, being distinctly consistent in the 37-limit with a smaller [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than anything else with this property until [[4501edo|4501]]. It is also the first division past [[311edo|311]] with a lower 43-limit relative error. One step of it is the [[Relative_cent|relative cent]] for [[16edo|16]].
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>2015-08-16 13:50:19 UTC</tt>.<br>
: The original revision id was <tt>556762361</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>
<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 **1600** equal division divides the octave into 1600 equal parts of exactly 0.75 cents each. It is a very strong 37-limit system, being distinctly consistent in the 37-limit with a smaller [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than anything else with this property until [[4501edo|4501]]. It is also the first division past [[311edo|311]] with a lower 43-limit relative error. One step of it is the [[relative cent]] for [[16edo|16]].</pre></div>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;1600edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;1600&lt;/strong&gt; equal division divides the octave into 1600 equal parts of exactly 0.75 cents each. It is a very strong 37-limit system, being distinctly consistent in the 37-limit with a smaller &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt; than anything else with this property until &lt;a class="wiki_link" href="/4501edo"&gt;4501&lt;/a&gt;. It is also the first division past &lt;a class="wiki_link" href="/311edo"&gt;311&lt;/a&gt; with a lower 43-limit relative error. One step of it is the &lt;a class="wiki_link" href="/relative%20cent"&gt;relative cent&lt;/a&gt; for &lt;a class="wiki_link" href="/16edo"&gt;16&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 1600 equal division divides the octave into 1600 equal parts of exactly 0.75 cents each. It is a very strong 37-limit system, being distinctly consistent in the 37-limit with a smaller relative error than anything else with this property until 4501. It is also the first division past 311 with a lower 43-limit relative error. One step of it is the relative cent for 16.