19/16: Difference between revisions

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**Imported revision 432733148 - 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 = otonal minor third, octave-reduced 19th harmonic
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-05-19 18:09:46 UTC</tt>.<br>
| Color name = 19o3, ino 3rd
: The original revision id was <tt>432733148</tt>.<br>
| Sound = jid_19_16_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>
'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27|Pythagorean minor third]].
<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">**19/16** is a [[19-limit]] intervall, 297.51 [[cent]] in size, which is so close to the minor third of [[12edo]], that most people will probably not be able to distinguish each from another.</pre></div>
 
<h4>Original HTML content:</h4>
== See also ==
<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_16&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;19/16&lt;/strong&gt; is a &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; intervall, 297.51 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt; in size, which is so close to the minor third of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, that most people will probably not be able to distinguish each from another.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[32/19]] – its [[octave complement]]
* [[24/19]] – its [[fifth complement]]
* [[Gallery of just intervals]]
 
[[Category:Third]]
[[Category:Minor third]]
[[Category:Boethius]]

Latest revision as of 14:21, 25 October 2022

Interval information
Ratio 19/16
Subgroup monzo 2.19 [-4 1
Size in cents 297.513¢
Names otonal minor third,
octave-reduced 19th harmonic
Color name 19o3, ino 3rd
FJS name [math]\displaystyle{ \text{m3}^{19} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 8.24793
Weil height (log2 max(n, d)) 8.49586
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

19/16 is a 19-limit interval, 297.5 cents in size, the otonal minor third or octave-reduced 19th harmonic, which is extremely close to the minor third of 12edo (300 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the Pythagorean minor third.

See also