20/17: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 283157404 - Original comment: **
 
We finally have a clearer modifier to describe this interval
 
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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 = diatismic minor third
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-07 01:21:05 UTC</tt>.<br>
| Sound = jid_20_17_pluck_adu_dr220.mp3
: The original revision id was <tt>283157404</tt>.<br>
| Color name = 17uy2, suyo 2nd
: 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">In [[17-limit]] [[Just Intonation]], 20/17 is the "septendecimal minor third", measuring about 281.358¢. It is the [[mediant]] between [[7_6|7/6]] and [[13_11|13/11]], as it is (7+13)/(6+11). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.


See: [[Gallery of Just Intervals]]</pre></div>
In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27|Pythagorean minor third (32/27)]] by a [[136/135|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;20_17&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 20/17 is the &amp;quot;septendecimal minor third&amp;quot;, measuring about 281.358¢. It is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; and &lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt;, as it is (7+13)/(6+11). It is found in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; between the 17th and 20th harmonics.&lt;br /&gt;
== See also ==
&lt;br /&gt;
* [[17/10]] – its [[octave complement]]
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[51/40]] – its [[fifth complement]]
* [[17/15]] – its [[fourth complement]]
* [[17edo|4\17]] (282.353 cents)
* [[Gallery of just intervals]]
 
[[Category:Third]]
[[Category:Minor third]]
[[Category:Diatismic]]