34edo: Difference between revisions

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-01-25 12:03:18 UTC</tt>.<br>

: The original revision id was <tt>401423774</tt>.<br>

34edo divides the octave into 34 equal steps of approximately 35.29412 [[xenharmonic/cent|cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents. It excels as a 5-limit system, with tuning even more accurate than [[31edo]], but with a sharp fifth rather than a flat one, and supports hanson, srutal, tetracot, würschmidt and vishnu temperaments. It does less well in the 7-limit, with two mappings possible for 7/4: a flat one from the patent val, and a sharp one from the 34d val. By way of the patent val 34 supports keemun temperament, and 34d is an excellent alternative to [[22edo]] for pajara temperament. In the 11-limit the 34d val supports pajara, vishnu and würschmidt. Among subgroup temperaments, the patent val supports semaphore on the 2.3.7 subgroup.  

|| &lt;span style="display: block; text-align: center;"&gt;&lt;span style="color: blue; display: block; text-align: center;"&gt;[[xenharmonic/49_48|49/48]]&lt;/span&gt;&lt;/span&gt; || | -4 -1 0 2 &gt; || &lt;span style="display: block; text-align: right;"&gt;&lt;span style="display: block; text-align: right;"&gt;35.697&lt;/span&gt;&lt;/span&gt; || &lt;span style="display: block; text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Slendro Diesis&lt;/span&gt;&lt;/span&gt; ||  ||  ||

* [[@http://www.archive.org/details/Ascension_105|Ascension]]

Drums Bass and 34-tone guitar

 

34edo divides the octave into 34 equal steps of approximately 35.29412 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s. 34edo contains two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17edo&lt;/a&gt;'s and the half-octave tritone of 600 cents. It excels as a 5-limit system, with tuning even more accurate than &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;, but with a sharp fifth rather than a flat one, and supports hanson, srutal, tetracot, würschmidt and vishnu temperaments. It does less well in the 7-limit, with two mappings possible for 7/4: a flat one from the patent val, and a sharp one from the 34d val. By way of the patent val 34 supports keemun temperament, and 34d is an excellent alternative to &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; for pajara temperament. In the 11-limit the 34d val supports pajara, vishnu and würschmidt. Among subgroup temperaments, the patent val supports semaphore on the 2.3.7 subgroup. &lt;br /&gt;

         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;&lt;span style="color: blue; display: block; text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/49_48"&gt;49/48&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;

  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Ascension_105" rel="nofollow" target="_blank"&gt;Ascension&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;Drums Bass and 34-tone guitar&lt;br /&gt;

&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Links&lt;/h2&gt;