25/18: 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 = classic(al) augmented fourth, diptolemaic augmented fourth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:15:35 UTC</tt>.<br>
| Color name = yy4, yoyo 4th
: The original revision id was <tt>513416192</tt>.<br>
| Sound = jid_25_18_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">**25/18**
|-1 -2 2&gt;
568.7174 cents
[[media type="file" key="jid_25_18_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_25_18_pluck_adu_dr220.mp3|sound sample]]


The classic ([[5-limit]]) augmented fourth.
'''25/18''', the '''classic(al) augmented fourth''' or '''diptolemaic augmented fourth''', is a [[5-limit]] [[tritone]]. It is the [[interval]] between [[6/5]] and [[5/3]] or [[9/5]] and [[5/2]] respectively. It is [[325/324]] (5.3 [[cent]]s) sharp of [[18/13]].
</pre></div>
 
<h4>Original HTML content:</h4>
== Approximation ==
<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;25_18&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;25/18&lt;/strong&gt;&lt;br /&gt;
{{Interval edo approximation|25/18}}
|-1 -2 2&amp;gt;&lt;br /&gt;
== See also ==
568.7174 cents&lt;br /&gt;
* [[36/25]] – its [[octave complement]]
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* [[Gallery of just intervals]]
&lt;br /&gt;
 
The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) augmented fourth.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Tritone]]
 
[[Category:todo:expand]]

Latest revision as of 10:43, 17 November 2025

Interval information
Ratio 25/18
Factorization 2-1 × 3-2 × 52
Monzo [-1 -2 2⟩
Size in cents 568.7174¢
Names classic(al) augmented fourth,
diptolemaic augmented fourth
Color name yy4, yoyo 4th
FJS name [math]\displaystyle{ \text{A4}^{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.81378
Weil norm (log2 max(n, d)) 9.28771
Wilson norm (sopfr(nd)) 18

[sound info]
Open this interval in xen-calc

25/18, the classic(al) augmented fourth or diptolemaic augmented fourth, is a 5-limit tritone. It is the interval between 6/5 and 5/3 or 9/5 and 5/2 respectively. It is 325/324 (5.3 cents) sharp of 18/13.

Approximation

Edo approximations for 25/18 (568.72 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
2 1\2 600.00 +31.28 +5.21
17 8\17 564.71 -4.01 -5.68
19 9\19 568.42 -0.30 -0.47
21 10\21 571.43 +2.71 +4.74
23 11\23 573.91 +5.20 +9.96
36 17\36 566.67 -2.05 -6.15
38 18\38 568.42 -0.30 -0.94
40 19\40 570.00 +1.28 +4.28
42 20\42 571.43 +2.71 +9.49
55 26\55 567.27 -1.44 -6.62
57 27\57 568.42 -0.30 -1.41
59 28\59 569.49 +0.77 +3.81
61 29\61 570.49 +1.77 +9.02
74 35\74 567.57 -1.15 -7.09
76 36\76 568.42 -0.30 -1.88
78 37\78 569.23 +0.51 +3.34
80 38\80 570.00 +1.28 +8.55

See also

Retrieved from "https://en.xen.wiki/index.php?title=25/18&oldid=217223"