1848edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 556779763 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 556811273 - 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>2015-08-17 12:03:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>556811273</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 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>; and also the minortone comma, |-16 35 -17>. | <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>; and also the minortone comma, |-16 35 -17>. | ||
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> | </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>1848edo</title></head><body>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 <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any division until <a class="wiki_link" href="/6079edo">6079</a>. 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;.</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>1848edo</title></head><body>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 <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any division until <a class="wiki_link" href="/6079edo">6079</a>. 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;.<br /> | ||
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1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/24edo">24</a>, <a class="wiki_link" href="/28edo">28</a>, <a class="wiki_link" href="/56edo">56</a>, <a class="wiki_link" href="/77edo">77</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/88edo">88</a>, <a class="wiki_link" href="/154edo">154</a>, and <a class="wiki_link" href="/231edo">231</a>.</body></html></pre></div> | |||