49/40: Difference between revisions

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**Imported revision 515320514 - Original comment: **
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m Normalising usage of Infobox Interval
 
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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 = larger septimal neutral third
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 21:52:34 UTC</tt>.<br>
| Color name = zzg4, zozogu 4th
: The original revision id was <tt>515320514</tt>.<br>
| Sound = jid_49_40_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>
'''49/40''', the '''larger septimal neutral third''', is only [[2401/2400]] (0.72{{cent}}) sharp of [[60/49]], the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also [[441/440]] (3.9{{cent}}) sharp of [[11/9]], and this is one of the ways [[11-limit]] harmony is introduced into [[7-limit]] scales. In particular, it is the interval between [[8/7]] and [[7/5]].
<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">**49/40**
|-3 0 -1 2&gt;
351.3381 cents
[[media type="file" key="jid_49_40_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_49_40_pluck_adu_dr220.mp3|sound sample]]


49/40, the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.</pre></div>
== See also ==
<h4>Original HTML content:</h4>
* [[24edo]]
<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;49_40&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;49/40&lt;/strong&gt;&lt;br /&gt;
* [[Iceface Tuning]]
|-3 0 -1 2&amp;gt;&lt;br /&gt;
* [[Gallery of just intervals]]
351.3381 cents&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_49_40_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_49_40_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_49_40_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_49_40_pluck_adu_dr220.mp3/515315684/jid_49_40_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_49_40_pluck_adu_dr220.mp3/515315684/jid_49_40_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:Third]]
&lt;br /&gt;
[[Category:Neutral third]]
49/40, the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 16:01, 25 October 2022

Interval information
Ratio 49/40
Factorization 2-3 × 5-1 × 72
Monzo [-3 0 -1 2
Size in cents 351.3381¢
Name larger septimal neutral third
Color name zzg4, zozogu 4th
FJS name [math]\displaystyle{ \text{d4}^{7,7}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.9366
Weil height (log2 max(n, d)) 11.2294
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

49/40, the larger septimal neutral third, is only 2401/2400 (0.72 ¢) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 ¢) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.

See also