24/13: Difference between revisions

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**Imported revision 513546558 - Original comment: **
 
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
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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 = (greater) tridecimal neutral seventh
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:45:05 UTC</tt>.<br>
| Color name = 3u7, thu 7th
: The original revision id was <tt>513546558</tt>.<br>
| Sound = jid_24_13_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>
In [[13-limit]] [[just intonation]], '''24/13''' is the '''(greater) tridecimal neutral seventh'''.
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">**24/13**
{{Interval edo approximation|24/13}}
|3 1 0 0 0 -1&gt;
 
1061.4273 cents
== See also ==
[[media type="file" key="jid_24_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_24_13_pluck_adu_dr220.mp3|sound sample]]
* [[13/12]] – its [[octave complement]]
</pre></div>
* [[Gallery of just intervals]]
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;24_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;24/13&lt;/strong&gt;&lt;br /&gt;
 
|3 1 0 0 0 -1&amp;gt;&lt;br /&gt;
{{stub}}
1061.4273 cents&lt;br /&gt;
 
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[[Category:Neutral seventh]]
[[Category:Seventh]]

Latest revision as of 13:04, 3 November 2025

Interval information
Ratio 24/13
Factorization 23 × 3 × 13-1
Monzo [3 1 0 0 0 -1
Size in cents 1061.427¢
Name (greater) tridecimal neutral seventh
Color name 3u7, thu 7th
FJS name [math]\displaystyle{ \text{M7}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.2854
Weil norm (log2 max(n, d)) 9.16993
Wilson norm (sopfr(nd)) 22

[sound info]
Open this interval in xen-calc

In 13-limit just intonation, 24/13 is the (greater) tridecimal neutral seventh.

Approximation

Edo approximations for 24/13 (1061.43 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
8 7\8 1050.00 -11.43 -7.62
9 8\9 1066.67 +5.24 +3.93
17 15\17 1058.82 -2.60 -3.69
18 16\18 1066.67 +5.24 +7.86
26 23\26 1061.54 +0.11 +0.24
34 30\34 1058.82 -2.60 -7.38
35 31\35 1062.86 +1.43 +4.17
43 38\43 1060.47 -0.96 -3.45
44 39\44 1063.64 +2.21 +8.10
52 46\52 1061.54 +0.11 +0.48
60 53\60 1060.00 -1.43 -7.14
61 54\61 1062.30 +0.87 +4.41
69 61\69 1060.87 -0.56 -3.21
70 62\70 1062.86 +1.43 +8.34
78 69\78 1061.54 +0.11 +0.72

See also


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