16/11: Difference between revisions

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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 = undecimal subfifth, undecimal semidiminished fifth, subharmonic semidiminished fifth, Axirabian paraminor fifth, just paraminor fifth, undecimal minor fifth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 23:34:03 UTC</tt>.<br>
| Color name = 1u5, lu 5th
: The original revision id was <tt>513215688</tt>.<br>
| Sound = jid_16_11_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>
{{Wikipedia|Major fourth and minor fifth}}
<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">**16/11**
|4 0 0 0 -1&gt;
648.68206 cents
[[media type="file" key="16_11_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_16_11_pluck_adu_dr220.mp3|sound sample]]


In [[11-limit]] [[Just Intonation]], 16/11 is an undecimal subfifth measuring about 648.. It is the inversion of [[11_8|11/8]], the undecimal superfourth.
In [[11-limit]] [[just intonation]], '''16/11''' is an '''undecimal subfifth''' measuring about 648.7{{cent}}. It is the inversion of [[11/8]], the undecimal superfourth. While the name "undecimal subfifth" suggests some variation of a perfect fifth, the subfifth is generally considered an interval in its own right being like neither a perfect fifth nor the tritone. This interval is close (~3{{cent}}) to exactly between a [[3/2|perfect fifth]] and [[1024/729|diminished fifth]], the latter of which is the ''diminished'' version of the [[Pythagorean tuning|Pythagorean]] [[diatonic]] generator, therefore may be called the '''subharmonic/undecimal semidiminished fifth'''


See: [[Gallery of Just Intervals]]</pre></div>
The character of this interval is something very unique in that it produces a sound of overtones that resembles that of a large bell.  Furthermore, the hands of a good composer, 16/11 has decent potential as the interval between the root and fifth of a chord. That said, even the best triads that utilize it in this capacity- such as 44:55:64 – must be handled with some measure of care as the rather dissonant nature of this interval provides a sense of tension, albeit less so than with diminished triads.
<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;16_11&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;16/11&lt;/strong&gt;&lt;br /&gt;
== Terminology ==
|4 0 0 0 -1&amp;gt;&lt;br /&gt;
The naming pattern from [[11/9|undecimal neutral third]] and [[12/11|undecimal neutral second]] and their octave-complements can be rigorously generalized and results in the somewhat unconventional ''subharmonic/undecimal neutral fifth''. This interval has also been termed the '''undecimal minor fifth''' since the tempered version found in [[24edo]] was dubbed the "minor fifth" by [[Ivan Wyschnegradsky]], although this may be confusing in diatonic contexts.
648.68206 cents&lt;br /&gt;
Furthermore, given its connections to [[Alpharabian tuning]], it can also be somewhat similarly dubbed the '''Axirabian paraminor fifth''' or even the '''just paraminor fifth'''.
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&lt;br /&gt;
== See also ==
In &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 16/11 is an undecimal subfifth measuring about 648.7¢. It is the inversion of &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;, the undecimal superfourth.&lt;br /&gt;
* [[11/8]] – its [[octave complement]]
&lt;br /&gt;
* [[33/32]] – its [[fifth 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>
* [[Gallery of just intervals]]
* [[Iceface tuning]]
 
[[Category:Fifth]]
[[Category:Subfifth]]
[[Category:Alpharabian]]
[[Category:Over-11 intervals]]