270edo: Difference between revisions

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-27 16:06:11 UTC</tt>.<br>

: The original revision id was <tt>239003867</tt>.<br>

<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 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong [[13-limit]] system, distinct and consistent through the 15 odd limit, and is the thirteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. In the [[5-limit]] it tempers out the [[ennealimma]], |1 -27 18&gt;, the [[vulture comma]], |24 -21 4&gt;, and the vishnuzma or semisuper comma, |23 6 -14&gt;. In the [[7-limit]] it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the [[11-limit]], it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an [[The Archipelago|archipelago]] tuning, and the optimal patent val for some of the archipelago temperaments.

<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;270edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; system, distinct and consistent through the 15 odd limit, and is the thirteenth &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta integral edo&lt;/a&gt;. In the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; it tempers out the &lt;a class="wiki_link" href="/ennealimma"&gt;ennealimma&lt;/a&gt;, |1 -27 18&amp;gt;, the &lt;a class="wiki_link" href="/vulture%20comma"&gt;vulture comma&lt;/a&gt;, |24 -21 4&amp;gt;, and the vishnuzma or semisuper comma, |23 6 -14&amp;gt;. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an &lt;a class="wiki_link" href="/The%20Archipelago"&gt;archipelago&lt;/a&gt; tuning, and the optimal patent val for some of the archipelago temperaments.&lt;br /&gt;