36/25: Difference between revisions

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**Imported revision 513416238 - Original comment: **
 
Fixed typo “diminished”
Tags: Mobile edit Mobile web edit
 
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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 = classic(al) diminished fifth, diptolemaic diminished fifth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:16:05 UTC</tt>.<br>
| Color name = gg5, gugu 5th
: The original revision id was <tt>513416238</tt>.<br>
| Sound = jid_36_25_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">**36/25**
|2 2 -2&gt;
631.2826 cents
[[media type="file" key="jid_36_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_36_25_pluck_adu_dr220.mp3|sound sample]]


The classic ([[5-limit]]) diminished fifth.
'''36/25''', the '''classic(al) diminished fifth''' or '''diptolemaic diminished fifth''', is the [[5-limit]] tritone produced by stacking two [[6/5]] minor thirds. This means it is justly tuned in [[1/3-comma meantone]], and almost perfectly in [[19edo]]. It is [[325/324]] (5.3 cents) flat of [[13/9]], and the interval between [[10/9]] and [[8/5]] or [[5/4]] and [[9/5]] respectively.
</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;36_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;36/25&lt;/strong&gt;&lt;br /&gt;
* [[25/18]] – its [[octave complement]]
|2 2 -2&amp;gt;&lt;br /&gt;
* [[Gallery of just intervals]]
631.2826 cents&lt;br /&gt;
 
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[[Category:Tritone]]
&lt;br /&gt;
[[Category:Meantone]]
The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) diminished fifth.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:todo:expand]]

Latest revision as of 16:25, 5 September 2024

Interval information
Ratio 36/25
Factorization 22 × 32 × 5-2
Monzo [2 2 -2
Size in cents 631.2826¢
Names classic(al) diminished fifth,
diptolemaic diminished fifth
Color name gg5, gugu 5th
FJS name [math]\displaystyle{ \text{d5}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.81378
Weil norm (log2 max(n, d)) 10.3399
Wilson norm (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

36/25, the classic(al) diminished fifth or diptolemaic diminished fifth, is the 5-limit tritone produced by stacking two 6/5 minor thirds. This means it is justly tuned in 1/3-comma meantone, and almost perfectly in 19edo. It is 325/324 (5.3 cents) flat of 13/9, and the interval between 10/9 and 8/5 or 5/4 and 9/5 respectively.

See also