19/13: Difference between revisions

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**Imported revision 513547064 - 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 = undevicesimal subfifth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:51:34 UTC</tt>.<br>
| Color name = 19o3u5, nothu 5th
: The original revision id was <tt>513547064</tt>.<br>
| Sound = jid_19_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>
 
<h4>Original Wikitext content:</h4>
In [[19-limit]] [[just intonation]], '''19/13''' is the '''undevicesimal subfifth'''. This [[subfifth]] differs from [[3/2]] by [[39/38]] (~45 [[cent|¢]]).
<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">**19/13**
 
|0 0 0 0 0 -1 0 1&gt;
== Approximation ==
656.9854 cents
{{Interval edo approximation|19/13}}
[[media type="file" key="jid_19_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_19_13_pluck_adu_dr220.mp3|sound sample]]
{{stub}}
</pre></div>
[[Category:Fifth]]
<h4>Original HTML content:</h4>
[[Category:Subfifth]]
<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;19_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;19/13&lt;/strong&gt;&lt;br /&gt;
[[Category:Taxicab-2 intervals]]
|0 0 0 0 0 -1 0 1&amp;gt;&lt;br /&gt;
656.9854 cents&lt;br /&gt;
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Latest revision as of 13:12, 3 November 2025

Interval information
Ratio 19/13
Subgroup monzo 13.19 [-1 1
Size in cents 656.9854¢
Name undevicesimal subfifth
Color name 19o3u5, nothu 5th
FJS name [math]\displaystyle{ \text{P5}^{19}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.94837
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 32

[sound info]
Open this interval in xen-calc

In 19-limit just intonation, 19/13 is the undevicesimal subfifth. This subfifth differs from 3/2 by 39/38 (~45 ¢).

Approximation

Edo approximations for 19/13 (656.99 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
2 1\2 600.00 -56.99 -9.50
9 5\9 666.67 +9.68 +7.26
11 6\11 654.55 -2.44 -2.24
20 11\20 660.00 +3.01 +5.02
22 12\22 654.55 -2.44 -4.47
31 17\31 658.06 +1.08 +2.79
33 18\33 654.55 -2.44 -6.71
42 23\42 657.14 +0.16 +0.55
44 24\44 654.55 -2.44 -8.95
51 28\51 658.82 +1.84 +7.81
53 29\53 656.60 -0.38 -1.69
62 34\62 658.06 +1.08 +5.58
64 35\64 656.25 -0.74 -3.92
73 40\73 657.53 +0.55 +3.34
75 41\75 656.00 -0.99 -6.16
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