54/49: 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 = Zalzal's mujannab, superpythagorean chroma
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 12:58:35 UTC</tt>.<br>
| Color name = rr1, ruru unison
: The original revision id was <tt>300945280</tt>.<br>
| Sound = jid_54_49_pluck_adu_dr220.mp3
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
'''54/49''', '''Zalzal's mujannab''', is an interval introduced by {{w|Mansour Zalzal}}. It is between [[11/10]] and [[10/9]] in size, being [[540/539]] sharp of 11/10 and [[245/243]] flat of 10/9. It is the interval between [[7/6]] and [[9/7]].  
<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">Zalzal's mujannab, the interval of 54/49 introduced by Mansour Zalzal, is between 11/10 and 10/9 in size, being 540/539 sharp of 11/10 and 245/243 flat of 10/9. It is the interval between [[7_6|7/6]] and [[9_7|9/7]]. Tempering out 540/539 equates it with 11/10 and leads to [[swetismic chords]].</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
{{Interval edo approximation|54/49}}
<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;54_49&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Zalzal's mujannab, the interval of 54/49 introduced by Mansour Zalzal, is between 11/10 and 10/9 in size, being 540/539 sharp of 11/10 and 245/243 flat of 10/9. It is the interval between &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; and &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;. Tempering out 540/539 equates it with 11/10 and leads to &lt;a class="wiki_link" href="/swetismic%20chords"&gt;swetismic chords&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
== Temperaments ==
[[Tempering out]] [[540/539]] equates 54/49 with 11/10 and leads to [[swetismic chords]]. Occurring often in JI scales, it is one of the ways 11-limit harmony gets introduced into [[7-limit]] scales.
 
It is also called the '''superpythagorean chromatic semitone''' or '''superpythagorean chroma'''{{idio}} since, in [[superpyth]] temperament, the minor third is 7/6, the major third is 9/7, and the difference between the two is 54/49.
 
Moving to [[exotemperament|exotempering]], the interval can be tempered out, leading to the [[2.3.7 subgroup|2.3.7-subgroup]] version of the [[mujannabic]] temperament equating 7/6 and 9/7. However, it is usually better to temper out [[25/24]] instead for a similar structural effect.
 
== See also ==
* [[49/27]] – its [[octave complement]]
* [[Gallery of just intervals]]
 
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Equable heptatonic]]