26edo: Difference between revisions

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<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">[[toc]]

//26edo// divides the [[octave]] into 26 equal parts of 46.154 [[cent]]s each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone family|injera]], [[Meantone family|flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7_4|7/4]]).

==Structure==  

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&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;em&gt;26edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 26 equal parts of 46.154 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It tempers out 81/80 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, making it a meantone tuning with a very flat fifth. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, it tempers out 50/49, 525/512 and 875/864, and supports &lt;a class="wiki_link" href="/Meantone%20family"&gt;injera&lt;/a&gt;, &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;, &lt;a class="wiki_link" href="/Jubilismic%20clan#Lemba"&gt;lemba&lt;/a&gt; and &lt;a class="wiki_link" href="/Jubilismic%20clan#Doublewide"&gt;doublewide&lt;/a&gt; temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the &lt;a class="wiki_link" href="/13-limit"&gt;13 odd limit&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistently&lt;/a&gt;. 26edo has a very good approximation of the harmonic seventh (&lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;).&lt;br /&gt;

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