64/55: Difference between revisions

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**Imported revision 515295584 - 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 = keenanismic subminor third
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-06-30 16:11:38 UTC</tt>.<br>
| Color name = 1ug3, lugu 3rd
: The original revision id was <tt>515295584</tt>.<br>
| Sound = jid_64_55_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">**64/55**
|6 0 -1 0 -1&gt;
262.368344


**64/55**, the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11 and 11/8 and 8/5.
'''64/55''', the '''keenanismic subminor third''', is [[385/384]] (4.5 cents) flatter than [[7/6]]. It arises in 11-limit scales as the interval between [[5/4]] and [[16/11]], and between [[11/8]] and [[8/5]]. On account of its close resemblance to 7/6, it can be stacked on top of a [[5/4]] major third as a means of creating one of the least dissonant among triads with a [[16/11]] subfifth as the outside interval.
</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;64_55&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;64/55&lt;/strong&gt;&lt;br /&gt;
 
|6 0 -1 0 -1&amp;gt;&lt;br /&gt;
* [[55/32]] – its [[octave complement]]
262.368344&lt;br /&gt;
* [[165/128]] – its [[fifth complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;strong&gt;64/55&lt;/strong&gt;, the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11 and 11/8 and 8/5.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[:File:Ji-64-55-csound-foscil-220hz.mp3]] - another sound example
 
[[Category:Third]]
[[Category:Subminor third]]
{{todo|improve synopsis}}

Latest revision as of 07:41, 3 January 2025

Interval information
Ratio 64/55
Factorization 26 × 5-1 × 11-1
Monzo [6 0 -1 0 -1⟩
Size in cents 262.3683¢
Name keenanismic subminor third
Color name 1ug3, lugu 3rd
FJS name [math]\displaystyle{ \text{m3}_{5,11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.7814
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

64/55, the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11, and between 11/8 and 8/5. On account of its close resemblance to 7/6, it can be stacked on top of a 5/4 major third as a means of creating one of the least dissonant among triads with a 16/11 subfifth as the outside interval.

See also

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