12/11: Difference between revisions

Wikispaces>Sarzadoce
**Imported revision 245080117 - Original comment: **
BudjarnLambeth (talk | contribs)
Neutrality
 
(19 intermediate revisions by 13 users not shown)
Line 1: Line 1:
<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 neutral second, Alpharabian tendoneutral second
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 15:17:45 UTC</tt>.<br>
| Color name = 1u2, lu 2nd
: The original revision id was <tt>245080117</tt>.<br>
| Sound = jid_12_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|Neutral second}}
<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">The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the [[superparticular]] ratio 12/11, and is about 150.64 [[cent|cents]] large. One step of [[8edo|8-edo]] is an excellent approximation of the just neutral second.</pre></div>
'''12/11''', the '''undecimal neutral second''' or '''(lesser) neutral second''', is an interval found between the 11th and 12th partials of the [[harmonic series]]. In [[just intonation]] it is represented by the [[superparticular]] ratio 12/11, and is about 150.6 [[cent]]s large. One step of [[8edo]] is an excellent approximation of the just neutral second, and eight of them exceed the octave by the comma [[Undecimal_octatonic_comma|(12/11)<sup>8</sup>/2 = {{Monzo|15 8 0 0 -8}}]]. It follows that EDOs which are multiples of 8, such as [[16edo]] and [[24edo]], will also represent this interval well. In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second'''.
<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;12_11&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The (lesser) neutral second is a strangely exotic interval found between the 11th and 12th partials of the harmonic series. In Just Intonation it is represented by the &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; ratio 12/11, and is about 150.64 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt; large. One step of &lt;a class="wiki_link" href="/8edo"&gt;8-edo&lt;/a&gt; is an excellent approximation of the just neutral second.&lt;/body&gt;&lt;/html&gt;</pre></div>
12/11 differs from the larger undecimal neutral second [[11/10]] (~165 cents) by [[121/120]] (~14.4 cents). Temperaments which conflate the two (thus tempering out 121/120) include [[15edo]], [[22edo]], [[31edo]], [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], etc.
 
Many Western listeners might describe 12/11 as sounding "exotic".
 
== See also ==
* [[11/6]] – its [[octave complement]]
* [[11/8]] – its [[fifth complement]]
* [[11/9]] – its [[fourth complement]]
* [[Iceface Tuning]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
 
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Over-11 intervals]]