108/77: Difference between revisions

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**Imported revision 515366180 - 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 = symbiotic diminished fifth
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-07-01 14:14:40 UTC</tt>.<br>
| Color name = 1ur4, luru 4th
: The original revision id was <tt>515366180</tt>.<br>
| Sound = Ji-108-77-csound-foscil-220hz.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">**108/77**
|2 3 0 -1 -1&gt;
585.721154 cents


**108/77** is 540/539 (3.2 cents) sharp of [[7_5|7/5]], and is the interval between 11/9 and 12/7.</pre></div>
'''108/77''' is the 11-limit interval between [[11/9]] and [[12/7]]. It is [[19712/19683]] (symbiotic comma, 2.5 [[¢]]) sharp of the Pythagorean diminished fifth [[1024/729]]. Meanwhile, it is [[540/539]] (swetisma, 3.2 ¢) sharp of [[7/5]].
<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;108_77&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;108/77&lt;/strong&gt;&lt;br /&gt;
== Terminology ==
|2 3 0 -1 -1&amp;gt;&lt;br /&gt;
This interval could also be called the ''swetismic augmented fourth'' if viewed as fudging from 7/5 instead.  
585.721154 cents&lt;br /&gt;
 
&lt;br /&gt;
== See also ==
&lt;strong&gt;108/77&lt;/strong&gt; is 540/539 (3.2 cents) sharp of &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;, and is the interval between 11/9 and 12/7.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[77/54]] – its [[octave complement]]
* [[77/72]] – its [[fifth complement]]
* [[Gallery of just intervals]]
 
[[Category:Tritone]]
[[Category:Symbiotic]]

Latest revision as of 11:32, 25 October 2022

Interval information
Ratio 108/77
Factorization 22 × 33 × 7-1 × 11-1
Monzo [2 3 0 -1 -1⟩
Size in cents 585.7212¢
Name symbiotic diminished fifth
Color name 1ur4, luru 4th
FJS name [math]\displaystyle{ \text{A4}_{7,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 13.0217
Weil height (log2 max(n, d)) 13.5098
Wilson height (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

108/77 is the 11-limit interval between 11/9 and 12/7. It is 19712/19683 (symbiotic comma, 2.5 ¢) sharp of the Pythagorean diminished fifth 1024/729. Meanwhile, it is 540/539 (swetisma, 3.2 ¢) sharp of 7/5.

Terminology

This interval could also be called the swetismic augmented fourth if viewed as fudging from 7/5 instead.

See also

Retrieved from "https://en.xen.wiki/index.php?title=108/77&oldid=97947"