14348edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 14348 division divides the octave into 14348 equal parts of 0.083635 cents each. It is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from [[7033edo|7033]]. It is also distinctly consistent in the 29 limit, and has a lower 23-limit relative error than any lower division aside from [[2460edo|2460]], [[8269edo|8269]], [[8539edo|8539]] and [[11664edo|11664]]. Besides all that it is a  [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]]. It factors as 2^2 * 17 * 211, so [[17edo|17]], [[34edo|34]], [[68edo|68]] and [[422edo|422]] are all divisors.
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>2015-08-22 20:06:38 UTC</tt>.<br>
: The original revision id was <tt>557183763</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 14348 division divides the octave into 14348 equal parts of 0.083635 cents each. It is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from [[7033edo|7033]]. It is also distinctly consistent in the 29 limit, and has a lower 23-limit relative error than any lower division aside from [[2460edo|2460]], [[8269edo|8269]], [[8539edo|8539]] and [[11664edo|11664]]. Besides all that it is a  [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak edo]]. It factors as 2^2 * 17 * 211, so [[17edo|17]], [[34edo|34]], [[68edo|68]] and [[422edo|422]] are all divisors.</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;14348edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 14348 division divides the octave into 14348 equal parts of 0.083635 cents each. It is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from &lt;a class="wiki_link" href="/7033edo"&gt;7033&lt;/a&gt;. It is also distinctly consistent in the 29 limit, and has a lower 23-limit relative error than any lower division aside from &lt;a class="wiki_link" href="/2460edo"&gt;2460&lt;/a&gt;, &lt;a class="wiki_link" href="/8269edo"&gt;8269&lt;/a&gt;, &lt;a class="wiki_link" href="/8539edo"&gt;8539&lt;/a&gt; and &lt;a class="wiki_link" href="/11664edo"&gt;11664&lt;/a&gt;. Besides all that it is a  &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta peak edo&lt;/a&gt;. It factors as 2^2 * 17 * 211, so &lt;a class="wiki_link" href="/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="/34edo"&gt;34&lt;/a&gt;, &lt;a class="wiki_link" href="/68edo"&gt;68&lt;/a&gt; and &lt;a class="wiki_link" href="/422edo"&gt;422&lt;/a&gt; are all divisors.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 14348 division divides the octave into 14348 equal parts of 0.083635 cents each. It is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from 7033. It is also distinctly consistent in the 29 limit, and has a lower 23-limit relative error than any lower division aside from 2460, 8269, 8539 and 11664. Besides all that it is a zeta peak edo. It factors as 2^2 * 17 * 211, so 17, 34, 68 and 422 are all divisors.