935edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 267776178 - Original comment: **
 
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 935 equal division divides the octave into 935 parts of 1.283 cents each. It is a very strong 23-limit system, and distinctly consistent through to the 27 odd limit. It is also a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the tricot comma |39 -29 3&gt;, the septendecima, |-52 -17 34&gt;, and astro, |91 -12 -31&gt;. In the 7-limit it tempers out 4375/4374 and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit 2080/2079, 4096/4095 and 4225/4224.
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>2011-10-23 23:34:35 UTC</tt>.<br>
: The original revision id was <tt>267776178</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 935 equal division divides the octave into 935 parts of 1.283 cents each. It is a very strong 23-limit system, and distinctly consistent through to the 27 odd limit. It is also a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak tuning]]. In the 5-limit it tempers out the tricot comma |39 -29 3&gt;, the septendecima, |-52 -17 34&gt;, and astro, |91 -12 -31&gt;. In the 7-limit it tempers out 4375/4374 and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit 2080/2079, 4096/4095 and 4225/4224.</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;935edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 935 equal division divides the octave into 935 parts of 1.283 cents each. It is a very strong 23-limit system, and distinctly consistent through to the 27 odd limit. It is also a &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta peak tuning&lt;/a&gt;. In the 5-limit it tempers out the tricot comma |39 -29 3&amp;gt;, the septendecima, |-52 -17 34&amp;gt;, and astro, |91 -12 -31&amp;gt;. In the 7-limit it tempers out 4375/4374 and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit 2080/2079, 4096/4095 and 4225/4224.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 935 equal division divides the octave into 935 parts of 1.283 cents each. It is a very strong 23-limit system, and distinctly consistent through to the 27 odd limit. It is also a zeta peak tuning. In the 5-limit it tempers out the tricot comma |39 -29 3>, the septendecima, |-52 -17 34>, and astro, |91 -12 -31>. In the 7-limit it tempers out 4375/4374 and 52734375/52706752, in the 11-limit 161280/161051 and 117649/117612, and in the 13-limit 2080/2079, 4096/4095 and 4225/4224.