33/25: 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 = ptolemismic fourth, 5edo-esque fourth
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 07:55:41 UTC</tt>.<br>
| Color name = 1ogg4, logugu 4th
: The original revision id was <tt>602890294</tt>.<br>
| Sound = jid_33_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>
'''33/25''', the '''ptolemismic fourth''' or the '''5edo-esque fourth''', is an [[11-limit]] interval. It is flat of [[4/3]], the perfect fourth, by [[100/99]], the ptolemisma, hence the name. It is also sharp of [[21/16]], the subfourth, by [[176/175]], the valinorsma. Being [[11/8]] diminished by [[25/24]], it is technically a semidiminished fourth aka paraminor fourth.
<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">Ratio: **33/25**
[[monzos|Monzo]]: |0 1 -2 0 1&gt;
Size: 480.645516 cents
[[media type="file" key="jid_33_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_33_25_pluck_adu_dr220.mp3|sound sample]]


Inverse: [[50_33|50/33]]</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
Measuring about 480.6{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets.
<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;33_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Ratio: &lt;strong&gt;33/25&lt;/strong&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/monzos"&gt;Monzo&lt;/a&gt;: |0 1 -2 0 1&amp;gt;&lt;br /&gt;
== See also ==
Size: 480.645516 cents&lt;br /&gt;
* [[50/33]] – its [[octave complement]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_33_25_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_33_25_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_33_25_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_33_25_pluck_adu_dr220.mp3/513545562/jid_33_25_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_33_25_pluck_adu_dr220.mp3/513545562/jid_33_25_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[25/22]] – its [[fifth complement]]
&lt;br /&gt;
* [[Gallery of just intervals]]
Inverse: &lt;a class="wiki_link" href="/50_33"&gt;50/33&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[:File:Ji-33-25-csound-foscil-220hz.mp3]] – another sound example
 
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Ptolemismic]]

Latest revision as of 02:03, 9 October 2024

Interval information
Ratio 33/25
Factorization 3 × 5-2 × 11
Monzo [0 1 -2 0 1
Size in cents 480.6455¢
Names ptolemismic fourth,
5edo-esque fourth
Color name 1ogg4, logugu 4th
FJS name [math]\displaystyle{ \text{d4}^{11}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.68825
Weil height (log2 max(n, d)) 10.0888
Wilson height (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

33/25, the ptolemismic fourth or the 5edo-esque fourth, is an 11-limit interval. It is flat of 4/3, the perfect fourth, by 100/99, the ptolemisma, hence the name. It is also sharp of 21/16, the subfourth, by 176/175, the valinorsma. Being 11/8 diminished by 25/24, it is technically a semidiminished fourth aka paraminor fourth.

Approximation

Measuring about 480.6 ¢, 33/25 is very well approximated by 5edo and its supersets.

See also