55/48: Difference between revisions

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**Imported revision 515291730 - 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 supermajor second
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-06-30 15:25:50 UTC</tt>.<br>
| Color name = 1oy2, loyo 2nd
: The original revision id was <tt>515291730</tt>.<br>
| Sound = jid_55_48_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>
'''55/48''', the '''keenanismic supermajor second''', is [[385/384]] (4.5{{cent}}) sharper than [[8/7]]. It arises in [[11-limit]] JI scales as the interval between [[16/15]] and [[11/9]], [[12/11]] and [[5/4]], [[6/5]] and [[11/8]], and their inversions.
<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">**55/48**
|-4 -1 1 0 1&gt;
235.676655


**55/48**, the keenanismic supermajor second, is 385/384 (4.5 cents) sharper than [[8_7|8/7]]. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions. It is 0.038 cents flatter than the 11\56 supermajor second of [[56edo]].</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
It is 0.038{{cent}} flatter than the 11\56 supermajor second of [[56edo]].
<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;55_48&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;55/48&lt;/strong&gt;&lt;br /&gt;
 
|-4 -1 1 0 1&amp;gt;&lt;br /&gt;
== Usage ==
235.676655&lt;br /&gt;
This interval is prominent in Johannes Dahle's playing, as he uses it to harmonize with a [[11/8]].
&lt;br /&gt;
 
&lt;strong&gt;55/48&lt;/strong&gt;, the keenanismic supermajor second, is 385/384 (4.5 cents) sharper than &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions. It is 0.038 cents flatter than the 11\56 supermajor second of &lt;a class="wiki_link" href="/56edo"&gt;56edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
== See also ==
* [[96/55]] – its [[octave complement]]
* [[144/110]] – its [[fifth complement]]
* [[Gallery of just intervals]]
 
[[Category:Second]]
[[Category:Supermajor second]]
[[Category:Keenanismic]]

Latest revision as of 02:14, 19 March 2024

Interval information
Ratio 55/48
Factorization 2-4 × 3-1 × 5 × 11
Monzo [-4 -1 1 0 1
Size in cents 235.6767¢
Name keenanismic supermajor second
Color name 1oy2, loyo 2nd
FJS name [math]\displaystyle{ \text{M2}^{5,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.3663
Weil height (log2 max(n, d)) 11.5627
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

55/48, the keenanismic supermajor second, is 385/384 (4.5 ¢) sharper than 8/7. It arises in 11-limit JI scales as the interval between 16/15 and 11/9, 12/11 and 5/4, 6/5 and 11/8, and their inversions.

Approximation

It is 0.038 ¢ flatter than the 11\56 supermajor second of 56edo.

Usage

This interval is prominent in Johannes Dahle's playing, as he uses it to harmonize with a 11/8.

See also