35/24: Difference between revisions

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**Imported revision 300952476 - Original comment: **
 
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m Normalising usage of Infobox Interval
 
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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 subfifth
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 13:33:18 UTC</tt>.<br>
| Color name = zy5, zoyo 5th
: The original revision id was <tt>300952476</tt>.<br>
| Sound = jid_35_24_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>
'''35/24''', the '''septimal subfifth''', is the interval between [[6/5]] and [[7/4]], and also between [[8/7]] and [[5/3]]. It is [[385/384]] sharp of [[16/11]], and tempering out 385/384 leads to [[keenanismic chords]] such as <span style="white-space: nowrap;">1-6/5-3/2-7/4</span> having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.
<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">35/24, the septimal sub-fifth, is is the interval between [[6_5|6/5]] and [[7_4|7/4]], and also between [[8_7|8/7]] and [[5_3|5/3]]. It is 385/384 sharp of [[16_11|16/11]], and tempering out 385/384 leads to [[keenanismic chords]] such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[48/35]] -- its octave complement
<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;35_24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;35/24, the septimal sub-fifth, is is the interval between &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt; and &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;, and also between &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; and &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;. It is 385/384 sharp of &lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;, and tempering out 385/384 leads to &lt;a class="wiki_link" href="/keenanismic%20chords"&gt;keenanismic chords&lt;/a&gt; such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Iceface tuning]]
* [[Gallery of just intervals]]
* [[Subfifth]]
 
[[Category:Fifth]]
[[Category:Subfifth]]

Latest revision as of 15:11, 25 October 2022

Interval information
Ratio 35/24
Factorization 2-3 × 3-1 × 5 × 7
Monzo [-3 -1 1 1
Size in cents 653.1846¢
Name septimal subfifth
Color name zy5, zoyo 5th
FJS name [math]\displaystyle{ \text{P5}^{5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.71425
Weil norm (log2 max(n, d)) 10.2586
Wilson norm (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

35/24, the septimal subfifth, is the interval between 6/5 and 7/4, and also between 8/7 and 5/3. It is 385/384 sharp of 16/11, and tempering out 385/384 leads to keenanismic chords such as 1-6/5-3/2-7/4 having all of their intervals counted as 11-limit consonances; since 385/384 is a small comma this works well in practice.

See also