96/77: 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 = keenanismic major third
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-06-30 12:22:41 UTC</tt>.<br>
| Color name = 1ur3, luru 3rd
: The original revision id was <tt>515278458</tt>.<br>
| Sound = jid_96_77_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>
'''96/77''', the '''keenanismic major third''', is likely to occur in JI scales in the [[11-limit]], as it is the difference between [[7/6]] and [[16/11]], or [[11/8]] and [[12/7]]. It is flatter than [[5/4]] by [[385/384]], the keenanisma.
<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">**96/77**
|5 1 0 -1 -1&gt;
381.8112 cents


96/77, the keenanismic major third, is likely to occur in JI scales in the 11-limit, as it is the interval between 7/6 and 16/11 and 11/8 and 12/7. It is at [[Ozan Yarman]]'s preferred size of about 382 cents for perde segah, and is almost exactly the size of the major third of [[22edo]], being 0.007 cents flat of 7\22. It could conceivably be used to tune 22edo by ear, as a cycle of 22 of these intervals fails to close by |-103 -22 0 22 22&gt;, about a sixth of a cent, and 96/77 could be tuned by taking a 12/7 up and an 11/8 down.</pre></div>
It is at [[Ozan Yarman]]'s preferred size of about 382 cents for perde segah, and is almost exactly the size of the major third of [[22edo]], being 0.007 cents flat of 7\22. It could conceivably be used to tune 22edo by ear, as a cycle of 22 of these intervals fails to close by {{monzo| -103 -22 0 22 22 }}, about a sixth of a cent, and 96/77 could be tuned by taking a 12/7 up and an 11/8 down.
<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;96_77&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;96/77&lt;/strong&gt;&lt;br /&gt;
== See also ==
|5 1 0 -1 -1&amp;gt;&lt;br /&gt;
* [[77/48]] – its [[octave complement]]
381.8112 cents&lt;br /&gt;
* [[77/64]] – its [[fifth complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
96/77, the keenanismic major third, is likely to occur in JI scales in the 11-limit, as it is the interval between 7/6 and 16/11 and 11/8 and 12/7. It is at &lt;a class="wiki_link" href="/Ozan%20Yarman"&gt;Ozan Yarman&lt;/a&gt;'s preferred size of about 382 cents for perde segah, and is almost exactly the size of the major third of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, being 0.007 cents flat of 7\22. It could conceivably be used to tune 22edo by ear, as a cycle of 22 of these intervals fails to close by |-103 -22 0 22 22&amp;gt;, about a  sixth of a cent, and 96/77 could be tuned by taking a 12/7 up and an 11/8 down.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Third]]
[[Category:Major third]]

Latest revision as of 09:01, 17 April 2024

Interval information
Ratio 96/77
Factorization 25 × 3 × 7-1 × 11-1
Monzo [5 1 0 -1 -1
Size in cents 381.8112¢
Name keenanismic major third
Color name 1ur3, luru 3rd
FJS name [math]\displaystyle{ \text{M3}_{7,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.8517
Weil norm (log2 max(n, d)) 13.1699
Wilson norm (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

96/77, the keenanismic major third, is likely to occur in JI scales in the 11-limit, as it is the difference between 7/6 and 16/11, or 11/8 and 12/7. It is flatter than 5/4 by 385/384, the keenanisma.

It is at Ozan Yarman's preferred size of about 382 cents for perde segah, and is almost exactly the size of the major third of 22edo, being 0.007 cents flat of 7\22. It could conceivably be used to tune 22edo by ear, as a cycle of 22 of these intervals fails to close by [-103 -22 0 22 22, about a sixth of a cent, and 96/77 could be tuned by taking a 12/7 up and an 11/8 down.

See also