19/12: Difference between revisions

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**Imported revision 513277854 - Original comment: **
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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 = large undevicesimal minor sixth, Boethius' minor sixth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:18:23 UTC</tt>.<br>
| Color name = 19o6, ino 6th
: The original revision id was <tt>513277854</tt>.<br>
| Sound = jid_19_12_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">**19/12**
|-2 -1 0 0 0 0 0 1&gt;
795.558 cents
[[media type="file" key="jid_19_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_19_12_pluck_adu_dr220.mp3|sound sample]]


**19/12** is a [[19-limit]] interval, about 795.6 [[Cent|cents]] in size, that is very close to the minor sixth of [[12edo]] (800 cents). Interestingly, 19/12 * [[19_15|19/15]] = 361/180 (1204.8 cents), which is very close to an octave.</pre></div>
'''19/12''', the '''large undevicesimal minor sixth''' or '''Boethius' minor sixth''', is a [[19-limit]] interval that is very close to the minor sixth of [[12edo]] (800 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the [[128/81|Pythagorean minor sixth]].  
<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;19_12&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;19/12&lt;/strong&gt;&lt;br /&gt;
== See also ==
|-2 -1 0 0 0 0 0 1&amp;gt;&lt;br /&gt;
* [[24/19]] – its [[octave complement]]
795.558 cents&lt;br /&gt;
* [[30/19]] – the small undevicesimal minor sixth
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* [[Gallery of just intervals]]
&lt;br /&gt;
 
&lt;strong&gt;19/12&lt;/strong&gt; is a &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; interval, about 795.6 &lt;a class="wiki_link" href="/Cent"&gt;cents&lt;/a&gt; in size, that is very close to the minor sixth of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; (800 cents). Interestingly, 19/12 * &lt;a class="wiki_link" href="/19_15"&gt;19/15&lt;/a&gt; = 361/180 (1204.8 cents), which is very close to an octave.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Minor sixth]]
[[Category:Sixth]]
[[Category:Boethius]]

Latest revision as of 01:20, 4 December 2022

Interval information
Ratio 19/12
Subgroup monzo 2.3.19 [-2 -1 1
Size in cents 795.558¢
Names large undevicesimal minor sixth,
Boethius' minor sixth
Color name 19o6, ino 6th
FJS name [math]\displaystyle{ \text{m6}^{19} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.83289
Weil height (log2 max(n, d)) 8.49586
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

19/12, the large undevicesimal minor sixth or Boethius' minor sixth, is a 19-limit interval that is very close to the minor sixth of 12edo (800 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the Pythagorean minor sixth.

See also