48/35: Difference between revisions

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**Imported revision 262777526 - 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 = septimal superfourth
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-08 01:25:08 UTC</tt>.<br>
| Color name = rg4, rugu 4th
: The original revision id was <tt>262777526</tt>.<br>
| Sound = jid_48_35_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>
'''48/35''', the '''septimal superfourth''' (546.8{{cent}}), is [[385/384]] (4.5{{cent}}) below the undecimal superfourth of [[11/8]] (551.3{{cent}}). It is opposite 1/1 in the octahedral geometry of the [[hexany]] <span style="white-space: nowrap">1/1-8/7-6/5-48/35-8/5-12/7-2/1</span>; hence in the [[Keenanismic_family#Keenanismic|keenanismic temperament]] tempering out 385/384, 11 is an interval of rather low complexity, with [[11/8]] being the interval between [[7/6]] and [[8/5]].
<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">48/35, the septimal superfourth, is 385/384 below the superforth of 11/8. It is opposite 1/1 in the octahedronal geometry of the hexany 1/1-8/7-6/5-48/35-8/5-12/7-2/1; hence in the [[Keenanismic family#Keenanismic|keenanismic temperament]] tempering out 385/384, 11 is an interval of rather low complexity.</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;48_35&lt;/title&gt;&lt;/head&gt;&lt;body&gt;48/35, the septimal superfourth, is 385/384 below the superforth of 11/8. It is opposite 1/1 in the octahedronal geometry of the hexany 1/1-8/7-6/5-48/35-8/5-12/7-2/1; hence in the &lt;a class="wiki_link" href="/Keenanismic%20family#Keenanismic"&gt;keenanismic temperament&lt;/a&gt; tempering out 385/384, 11 is an interval of rather low complexity.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[35/24]] – its octave complement
* [[Gallery of just intervals]]
* [[Superfourth]]
 
[[Category:Fourth]]
[[Category:Superfourth]]

Latest revision as of 15:59, 25 October 2022

Interval information
Ratio 48/35
Factorization 24 × 3 × 5-1 × 7-1
Monzo [4 1 -1 -1⟩
Size in cents 546.8154¢
Name septimal superfourth
Color name rg4, rugu 4th
FJS name [math]\displaystyle{ \text{P4}_{5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.7142
Weil norm (log2 max(n, d)) 11.1699
Wilson norm (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

48/35, the septimal superfourth (546.8 ¢), is 385/384 (4.5 ¢) below the undecimal superfourth of 11/8 (551.3 ¢). It is opposite 1/1 in the octahedral geometry of the hexany 1/1-8/7-6/5-48/35-8/5-12/7-2/1; hence in the keenanismic temperament tempering out 385/384, 11 is an interval of rather low complexity, with 11/8 being the interval between 7/6 and 8/5.

See also

Retrieved from "https://en.xen.wiki/index.php?title=48/35&oldid=98270"