9/4: Difference between revisions

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**Imported revision 513248184 - Original comment: **
 
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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 = Pythagorean ninth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 13:48:29 UTC</tt>.<br>
| Color name = w9, wa 9th
: The original revision id was <tt>513248184</tt>.<br>
| Sound = jid_9_4_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>
<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">**9/4**
|-2 2&gt;
1403.9100 cents
[[media type="file" key="jid_9_4_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_9_4_pluck_adu_dr220.mp3|sound sample]]


Pythagorean ninth; two perfect fifths ([[3_2|3/2]] * 3/2); the ratio between the 4th and 9th harmonics; one octave above [[9_8|9/8]].
'''9/4''', the Pythagorean ninth; two perfect fifths ([[3/2]] * 3/2); the ratio between the 4th and 9th harmonics; one octave above [[9/8]]. See also [[ed9/4]].
</pre></div>
<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;9_4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;9/4&lt;/strong&gt;&lt;br /&gt;
|-2 2&amp;gt;&lt;br /&gt;
1403.9100 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_9_4_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_9_4_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_9_4_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_9_4_pluck_adu_dr220.mp3/513246248/jid_9_4_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_9_4_pluck_adu_dr220.mp3/513246248/jid_9_4_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
Pythagorean ninth; two perfect fifths (&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; * 3/2); the ratio between the 4th and 9th harmonics; one octave above &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 17:12, 31 March 2025

Interval information
Ratio 9/4
Factorization 2-2 × 32
Monzo [-2 2
Size in cents 1403.91¢
Name Pythagorean ninth
Color name w9, wa 9th
FJS name [math]\displaystyle{ \text{M9} }[/math]
Tenney height (log2 nd) 5.16993
Weil height (log2 max(n, d)) 6.33985
Wilson height (sopfr(nd)) 10

[sound info]
Open this interval in xen-calc

9/4, the Pythagorean ninth; two perfect fifths (3/2 * 3/2); the ratio between the 4th and 9th harmonics; one octave above 9/8. See also ed9/4.