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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-14 19:33:35 UTC</tt>.<br>
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| : The original revision id was <tt>241410939</tt>.<br>
| | 954edo is a very strong 17-limit system, [[consistency|distinctly consistent]] in the 17-limit, and is a [[zeta edo|zeta peak, integral and gap edo]]. The tuning of the primes to 17 are all flat, and the equal temperament [[tempering out|tempers out]] the [[ennealimma]], {{monzo| 1 -27 18 }}, in the 5-limit and [[2401/2400]] and [[4375/4374]] in the 7-limit, so that it [[support]]s the [[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 the [[semihemiennealimmal]] temperament. |
| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | === Prime harmonics === |
| <h4>Original Wikitext content:</h4>
| | {{Harmonics in equal|954|columns=13}} |
| <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>, 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>
| | {{Harmonics in equal|954|start=14|columns=17|collapsed=1|title=Approximation of prime harmonics in 954edo (continued)}} |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|954|start=31|columns=18|collapsed=1|title=Approximation of prime harmonics in 954edo (continued)}} |
| <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>954edo</title></head><body>The <em>954 equal division</em> divides the octave into 954 equal parts of 1.258 cents each. It is a very strong 17-limit system, uniquely <a class="wiki_link" href="/consistent">consistent</a> in the 17-limit, and is the fifteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a> 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 <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a>. 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.</body></html></pre></div>
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| | === Subsets and supersets === |
| | Since 954 = {{factorization|954}}, 954edo has subset edos {{EDOs| 2, 3, 6, 9, 18, 53, 106, 159, 318, 477 }}. |
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| | [[Category:Ennealimmal]] |
| | [[Category:Hemiennealimmal]] |
| | [[Category:Semihemiennealimmal]] |