1848edo: Difference between revisions

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**Imported revision 556811273 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 1848 equal division divides the octave into 1848 equal parts of 0.64935 cents each. It is a super strong 11-limit division, having the lowest 11-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until [[6079edo|6079]]. It tempers out the 11-limit commas 9801/9800, 151263/151250, 1771561/1771470 and 3294225/3294172. It also tempers out the 7-limit landscape comma, 250047/250000. It is distinctly consistent through the 15-limit, and tempers out the 13-limit commas 4225/4224 and 6656/6655. In the 5-limit it is an atomic system, tempering out the atom, |161 -84 -12&gt;; and also the minortone comma, |-16 35 -17&gt;.
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>2015-08-17 12:03:50 UTC</tt>.<br>
: The original revision id was <tt>556811273</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 1848 equal division divides the octave into 1848 equal parts of 0.64935 cents each. It is a super strong 11-limit division, having the lowest 11-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any division until [[6079edo|6079]]. It tempers out the 11-limit commas 9801/9800, 151263/151250, 1771561/1771470 and 3294225/3294172. It also tempers out the 7-limit landscape comma, 250047/250000. It is distinctly consistent through the 15-limit, and tempers out the 13-limit commas 4225/4224 and 6656/6655. In the 5-limit it is an atomic system, tempering out the atom, |161 -84 -12&gt;; and also the minortone comma, |-16 35 -17&gt;.


1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are [[12edo|12]], [[14edo|14]], [[22edo|22]], [[24edo|24]], [[28edo|28]], [[56edo|56]], [[77edo|77]], [[84edo|84]], [[88edo|88]], [[154edo|154]], and [[231edo|231]].
1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are [[12edo|12]], [[14edo|14]], [[22edo|22]], [[24edo|24]], [[28edo|28]], [[56edo|56]], [[77edo|77]], [[84edo|84]], [[88edo|88]], [[154edo|154]], and [[231edo|231]].
                                </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;1848edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 1848 equal division divides the octave into 1848 equal parts of 0.64935 cents each. It is a super strong 11-limit division, having the lowest 11-limit &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt; than any division until &lt;a class="wiki_link" href="/6079edo"&gt;6079&lt;/a&gt;. It tempers out the 11-limit commas 9801/9800, 151263/151250, 1771561/1771470 and 3294225/3294172. It also tempers out the 7-limit landscape comma, 250047/250000. It is distinctly consistent through the 15-limit, and tempers out the 13-limit commas 4225/4224 and 6656/6655. In the 5-limit it is an atomic system, tempering out the atom, |161 -84 -12&amp;gt;; and also the minortone comma, |-16 35 -17&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/24edo"&gt;24&lt;/a&gt;, &lt;a class="wiki_link" href="/28edo"&gt;28&lt;/a&gt;, &lt;a class="wiki_link" href="/56edo"&gt;56&lt;/a&gt;, &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/84edo"&gt;84&lt;/a&gt;, &lt;a class="wiki_link" href="/88edo"&gt;88&lt;/a&gt;, &lt;a class="wiki_link" href="/154edo"&gt;154&lt;/a&gt;, and &lt;a class="wiki_link" href="/231edo"&gt;231&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>