35edo: Difference between revisions

Wikispaces>Osmiorisbendi
**Imported revision 329137890 - Original comment: **
Wikispaces>guest
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-03 01:33:17 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-05-03 11:19:54 UTC</tt>.<br>
: The original revision id was <tt>329137890</tt>.<br>
: The original revision id was <tt>329410090</tt>.<br>
: 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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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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">=&lt;span style="color: #ff4100;"&gt;35 tone equal temperament&lt;/span&gt;=  
<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">=&lt;span style="color: #ff4100;"&gt;35 tone equal temperament&lt;/span&gt;=  


35-tET or 35-[[edo|EDO]], refers to a tuning system which divides the octave into 35 steps of approximately [[cent|34.29¢]] each.
35-tET or 35-[[xenharmonic/edo|EDO]], refers to a tuning system which divides the octave into 35 steps of approximately [[xenharmonic/cent|34.29¢]] each.


As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic [[macrotonal edos]]: [[5edo]] and [[7edo]]. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢.
As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic [[xenharmonic/macrotonal edos|macrotonal edos]]: [[xenharmonic/5edo|5edo]] and [[xenharmonic/7edo|7edo]]. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. 35edo can also represent the 2.3.5.7.11.17 [[xenharmonic/Just intonation subgroups|subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning.


35edo can represent the 2.3.5.7.11.17 [[Just intonation subgroups|subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning.
A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a [[xenharmonic/MOS|MOS]] of 3L2s: 9 4 9 9 4.
 
A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a [[MOS]] of 3L2s: 9 4 9 9 4.


==Intervals==  
==Intervals==  
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;35edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x35 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #ff4100;"&gt;35 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
<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;35edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x35 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #ff4100;"&gt;35 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
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35-tET or 35-&lt;a class="wiki_link" href="/edo"&gt;EDO&lt;/a&gt;, refers to a tuning system which divides the octave into 35 steps of approximately &lt;a class="wiki_link" href="/cent"&gt;34.29¢&lt;/a&gt; each.&lt;br /&gt;
35-tET or 35-&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edo"&gt;EDO&lt;/a&gt;, refers to a tuning system which divides the octave into 35 steps of approximately &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;34.29¢&lt;/a&gt; each.&lt;br /&gt;
&lt;br /&gt;
As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic &lt;a class="wiki_link" href="/macrotonal%20edos"&gt;macrotonal edos&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; and &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
35edo can represent the 2.3.5.7.11.17 &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;subgroup&lt;/a&gt; and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning.&lt;br /&gt;
As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/macrotonal%20edos"&gt;macrotonal edos&lt;/a&gt;: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/5edo"&gt;5edo&lt;/a&gt; and &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/7edo"&gt;7edo&lt;/a&gt;. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. 35edo can also represent the 2.3.5.7.11.17 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups"&gt;subgroup&lt;/a&gt; and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators. Therefore it is a very versatile whitewood tuning.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a &lt;a class="wiki_link" href="/MOS"&gt;MOS&lt;/a&gt; of 3L2s: 9 4 9 9 4.&lt;br /&gt;
A good beggining for start to play 35-EDO is with the Sub-diatonic scale, that is a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOS"&gt;MOS&lt;/a&gt; of 3L2s: 9 4 9 9 4.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x35 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x35 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h2&gt;