27/22: Difference between revisions

Wikispaces>xenwolf
**Imported revision 515541412 - Original comment: **
mention its closeness to 13\44
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = rastmic neutral third, Alpharabian tendoneutral third
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2014-07-03 16:28:25 UTC</tt>.<br>
| Color name = 1u3, lu 3rd
: The original revision id was <tt>515541412</tt>.<br>
| Sound = jid_27_22_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<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">**27/22**
|-1 3 0 0 -1&gt;
354.5471 cents
[[media type="file" key="jid_27_22_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_27_22_pluck_adu_dr220.mp3|sound sample]]


**27/22** is 243/242 (7.1 cents) sharp of [[11_9|11/9]], and together with 11/9 makes [[3_2|3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10_9|10/9]] and [[15_11|15/11]] and 11/9 and [[3_2|3/2]] and their inversions.
'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]]. It is extremely close to [[44edo]]'s 13\44 neutral third, however the first multiple of 44edo to map it consistently is [[176edo]].
</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
{{Interval edo approximation|27/22}}
<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;27_22&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;27/22&lt;/strong&gt;&lt;br /&gt;
== See also ==
|-1 3 0 0 -1&amp;gt;&lt;br /&gt;
* [[24edo]]
354.5471 cents&lt;br /&gt;
* [[44/27]] – its [[octave complement]]
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* [[11/9]] – its [[fifth complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;strong&gt;27/22&lt;/strong&gt; is 243/242 (7.1 cents) sharp of &lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;, and together with 11/9 makes &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt; and &lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt; and 11/9 and &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; and their inversions.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Iceface Tuning]]
 
[[Category:Third]]
[[Category:Neutral third]]
[[Category:Rastmic]]
[[Category:Alpharabian]]