954edo: Difference between revisions

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**Imported revision 241410939 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''954 equal division'' divides the octave into 954 equal parts of 1.258 cents each. It is a very strong 17-limit system, uniquely [[consistent|consistent]] in the 17-limit, and is the fifteenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral edo]] and is also a zeta gap edo. The tuning of the primes to 17 are all flat, and it tempers out the ennealimma, |1 -27 18&gt;, in the 5-limit and 2401/2400 and 4375/4374 in the 7-limit, so that it supports [[Ragismic_microtemperaments#Ennealimmal|ennealimmal temperament]]. In the 11-limit it tempers out 3025/3024, 9801/9800, 43923/43904, and 151263/151250 so that it supports hemiennealimmal. In the 13-limit it tempers out 4225/4224 and 10648/10647 and in the 17-limit 2431/2430 and 2601/2600. It supports and gives the optimal patent val for semihemiennealimmal temperament.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:ennealimmal]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-14 19:33:35 UTC</tt>.<br>
[[Category:hemiennealimmal]]
: The original revision id was <tt>241410939</tt>.<br>
[[Category:semihemiennealimmal]]
: 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 //954 equal division// divides the octave into 954 equal parts of 1.258 cents each. It is a very strong 17-limit system, uniquely [[consistent]] in the 17-limit, and is the fifteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]] and is also a zeta gap edo. The tuning of the primes to 17 are all flat, and it tempers out the ennealimma, |1 -27 18&gt;, in the 5-limit and 2401/2400 and 4375/4374 in the 7-limit, so that it supports [[Ragismic microtemperaments#Ennealimmal|ennealimmal temperament]]. In the 11-limit it tempers out 3025/3024, 9801/9800, 43923/43904, and 151263/151250 so that it supports hemiennealimmal. In the 13-limit it tempers out 4225/4224 and 10648/10647 and in the 17-limit 2431/2430 and 2601/2600. It supports and gives the optimal patent val for semihemiennealimmal temperament.</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;954edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;954 equal division&lt;/em&gt; divides the octave into 954 equal parts of 1.258 cents each. It is a very strong 17-limit system, uniquely &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; in the 17-limit, and is the fifteenth &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta integral edo&lt;/a&gt; and is also a zeta gap edo. The tuning of the primes to 17 are all flat, and it tempers out the ennealimma, |1 -27 18&amp;gt;, in the 5-limit and 2401/2400 and 4375/4374 in the 7-limit, so that it supports &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal"&gt;ennealimmal temperament&lt;/a&gt;. In the 11-limit it tempers out 3025/3024, 9801/9800, 43923/43904, and 151263/151250 so that it supports hemiennealimmal. In the 13-limit it tempers out 4225/4224 and 10648/10647 and in the 17-limit 2431/2430 and 2601/2600. It supports and gives the optimal patent val for semihemiennealimmal temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 954 equal division divides the octave into 954 equal parts of 1.258 cents each. It is a very strong 17-limit system, uniquely consistent in the 17-limit, and is the fifteenth zeta integral edo and is also a zeta gap edo. The tuning of the primes to 17 are all flat, and it tempers out the ennealimma, |1 -27 18>, in the 5-limit and 2401/2400 and 4375/4374 in the 7-limit, so that it supports ennealimmal temperament. In the 11-limit it tempers out 3025/3024, 9801/9800, 43923/43904, and 151263/151250 so that it supports hemiennealimmal. In the 13-limit it tempers out 4225/4224 and 10648/10647 and in the 17-limit 2431/2430 and 2601/2600. It supports and gives the optimal patent val for semihemiennealimmal temperament.