26/19: Difference between revisions

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**Imported revision 513547242 - 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 superfourth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:53:46 UTC</tt>.<br>
| Color name = 19u3o4, nutho 4th
: The original revision id was <tt>513547242</tt>.<br>
| Sound = jid_26_19_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]], '''26/19''' is the '''undevicesimal superfourth'''. This [[superfourth]] differs from [[4/3]] 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">**26/19**
 
|1 0 0 0 0 1 0 -1&gt;
== Approximation ==
543.0146 cents
{{Interval edo approximation|26/19}}
[[media type="file" key="jid_26_19_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_26_19_pluck_adu_dr220.mp3|sound sample]]
{{stub}}
</pre></div>
 
<h4>Original HTML content:</h4>
[[Category:Fourth]]
<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;26_19&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;26/19&lt;/strong&gt;&lt;br /&gt;
[[Category:Superfourth]]
|1 0 0 0 0 1 0 -1&amp;gt;&lt;br /&gt;
543.0146 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_26_19_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_26_19_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_26_19_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_26_19_pluck_adu_dr220.mp3/513545466/jid_26_19_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_26_19_pluck_adu_dr220.mp3/513545466/jid_26_19_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 13:12, 3 November 2025

Interval information
Ratio 26/19
Subgroup monzo 2.13.19 [1 1 -1
Size in cents 543.0146¢
Name undevicesimal superfourth
Color name 19u3o4, nutho 4th
FJS name [math]\displaystyle{ \text{P4}^{13}_{19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.94837
Weil norm (log2 max(n, d)) 9.40088
Wilson norm (sopfr(nd)) 34

[sound info]
Open this interval in xen-calc

In 19-limit just intonation, 26/19 is the undevicesimal superfourth. This superfourth differs from 4/3 by 39/38 (~45 ¢).

Approximation

Edo approximations for 26/19 (543.01 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
2 1\2 600.00 +56.99 +9.50
9 4\9 533.33 -9.68 -7.26
11 5\11 545.45 +2.44 +2.24
20 9\20 540.00 -3.01 -5.02
22 10\22 545.45 +2.44 +4.47
31 14\31 541.94 -1.08 -2.79
33 15\33 545.45 +2.44 +6.71
42 19\42 542.86 -0.16 -0.55
44 20\44 545.45 +2.44 +8.95
51 23\51 541.18 -1.84 -7.81
53 24\53 543.40 +0.38 +1.69
62 28\62 541.94 -1.08 -5.58
64 29\64 543.75 +0.74 +3.92
73 33\73 542.47 -0.55 -3.34
75 34\75 544.00 +0.99 +6.16
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