12/11: 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 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>~~

~~<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''', conventionally the '''(lesser) undecimal 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.

~~<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"><html><head><title>12_11</title></head><body>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 ~~<a class="wiki_link" href="~~/~~superparticular">superparticular</a> ratio~~ 12/11~~, and is about 150~~.~~64 <a class~~=~~"wiki_link" href~~=~~"/cent">cents</a> large.~~ One step of ~~<a class="wiki_link" href="/~~8edo~~">8-edo</a>~~ is an excellent approximation of the just neutral second~~.<~~/~~body></html>~~<~~/pre~~></~~div~~>

In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second''', which contrasts [[88/81]], the other undecimal neutral second.

The name ''lesser undecimal neutral second'' is said as opposed to [[11/10]], the larger undecimal neutral second or undecimal submajor second (~165 cents), from which it differs by [[121/120]] (~14.4 cents). [[Regular temperament|Temperaments]] which conflate the two (thus [[tempering out]] 121/120) include [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], and their [[support]]ing [[edo]]s: [[15edo]], [[22edo]], [[31edo]], etc.

Many Western listeners might describe 12/11 as sounding "exotic".

== Approximation ==

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.

== 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]]

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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 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''', conventionally the '''(lesser) undecimal 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.
-<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>
+In [[Alpharabian tuning]] it is known as the '''Alpharabian tendoneutral second''', which contrasts [[88/81]], the other undecimal neutral second.
+The name ''lesser undecimal neutral second'' is said as opposed to [[11/10]], the larger undecimal neutral second or undecimal submajor second (~165 cents), from which it differs by [[121/120]] (~14.4 cents). [[Regular temperament|Temperaments]] which conflate the two (thus [[tempering out]] 121/120) include [[orwell]], [[porcupine]], [[mohajira]], [[valentine]], and their [[support]]ing [[edo]]s: [[15edo]], [[22edo]], [[31edo]], etc.
+Many Western listeners might describe 12/11 as sounding "exotic".
+== Approximation ==
+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.
+{{Interval edo approximation|12/11}}
+== 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]]