50/33: 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 fifth, 5edo-esque fifth
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 07:55:44 UTC</tt>.<br>
| Color name = 1uyy5, luyoyo 5th
: The original revision id was <tt>602890296</tt>.<br>
| Sound = ji-50-33-csound-foscil-220hz.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>
'''50/33''', the '''ptolemismic fifth''' or the '''5edo-esque fifth''', is an [[11-limit]] interval. It is sharp of [[3/2]], the perfect fifth, by [[100/99]], the ptolemisma, hence the name. It is also flat of [[32/21]], the superfifth, by [[176/175]], the valinorsma. Being [[16/11]] augmented by [[25/24]], it is technically a semiaugmented fifth aka paramajor fifth.
<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: **50/33**
[[monzos|Monzo]]: |1 -1 2 0 -1&gt;
Size: 719.354484 cents
[[media type="file" key="ji-50-33-csound-foscil-220hz.mp3"]] [[file:xenharmonic/ji-50-33-csound-foscil-220hz.mp3|sound sample]]


Inverse: [[33_25|33/25]]</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
Measuring about 719.4{{cent}}, 50/33 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;50_33&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Ratio: &lt;strong&gt;50/33&lt;/strong&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/monzos"&gt;Monzo&lt;/a&gt;: |1 -1 2 0 -1&amp;gt;&lt;br /&gt;
== See also ==
Size: 719.354484 cents&lt;br /&gt;
* [[33/25]] – its [[octave complement]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/ji-50-33-csound-foscil-220hz.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;ji-50-33-csound-foscil-220hz.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%252Fji-50-33-csound-foscil-220hz.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/ji-50-33-csound-foscil-220hz.mp3/602889718/ji-50-33-csound-foscil-220hz.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/ji-50-33-csound-foscil-220hz.mp3/602889718/ji-50-33-csound-foscil-220hz.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
 
Inverse: &lt;a class="wiki_link" href="/33_25"&gt;33/25&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Fifth]]
[[Category:Superfifth]]
[[Category:Ptolemismic]]

Latest revision as of 02:04, 9 October 2024

Interval information
Ratio 50/33
Factorization 2 × 3-1 × 52 × 11-1
Monzo [1 -1 2 0 -1
Size in cents 719.3545¢
Names ptolemismic fifth,
5edo-esque fifth
Color name 1uyy5, luyoyo 5th
FJS name [math]\displaystyle{ \text{A5}^{5,5}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.6883
Weil height (log2 max(n, d)) 11.2877
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

50/33, the ptolemismic fifth or the 5edo-esque fifth, is an 11-limit interval. It is sharp of 3/2, the perfect fifth, by 100/99, the ptolemisma, hence the name. It is also flat of 32/21, the superfifth, by 176/175, the valinorsma. Being 16/11 augmented by 25/24, it is technically a semiaugmented fifth aka paramajor fifth.

Approximation

Measuring about 719.4 ¢, 50/33 is very well approximated by 5edo and its supersets.

See also