144/125: 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 = classic(al) diminished third, triptolemaic diminished third

~~: This revision was by author [[User:spt3125~~|~~spt3125]] and made on~~ <tt>~~2014-06-09 22:27:32 UTC~~</tt>~~.<br>~~

| Color name = g<sup>3</sup>3, trigu 3rd

~~: The original revision id was <tt>513417364</tt>.<br>~~

| Sound = jid_144_125_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">**144/125**

|~~4 2 -3>~~

~~244.9689 cents~~

~~[[media type="file" key~~="jid_144_125_pluck_adu_dr220.mp3~~"]] [[file:xenharmonic/jid_144_125_pluck_adu_dr220.mp3|sound sample]]~~

~~The~~ classic ([[5-limit]]~~) diminished third~~.

'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.

</~~pre><~~/~~div>~~

~~<h4>Original HTML content:<~~/~~h4>~~

== Approximation ==

<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"><html><head><title>144_125</~~title></head><body><strong>144/125</strong><br />~~

This interval is especially close to the 10th step of [[49edo]].

|~~4 2 -3&gt;<br />~~

~~244.9689 cents<br />~~

== Temperaments ==

~~<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_144_125_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></~~embed> <a href="http~~:~~//xenharmonic.wikispaces.com/file/view/jid_144_125_pluck_adu_dr220.mp3/513415378/jid_144_125_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http~~:~~//xenharmonic.wikispaces.com/file/view/jid_144_125_pluck_adu_dr220.mp3/513415378/jid_144_125_pluck_adu_dr220.mp3');">sound sample</a><br />~~

In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university]] temperament treats it as a [[comma]].

~~<br />~~

~~The classic (<a class="wiki_link" href="/5-limit">5-limit</a>) diminished third.</body></html></pre></div>~~

== See also ==

* [[125/72]] – its [[octave complement]]

* [[125/96]] – its [[fifth complement]]

* [[Gallery of just intervals]]

[[Category:Third]]

[[Category:Diminished third]]

[[Category:Interseptimal intervals]]

[[Category:Semifourth]]

[[Category:University]]

@@ Line 1: / Line 1: @@
-<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 = classic(al) diminished third, triptolemaic diminished third
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:27:32 UTC</tt>.<br>
+| Color name = g<sup>3</sup>3, trigu 3rd
-: The original revision id was <tt>513417364</tt>.<br>
+| Sound = jid_144_125_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">**144/125**
-|4 2 -3&gt;
-.9689 cents
-[[media type="file" key="jid_144_125_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_144_125_pluck_adu_dr220.mp3|sound sample]]
-The classic ([[5-limit]]) diminished third.
+'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
-</pre></div>
-<h4>Original HTML content:</h4>
+== Approximation ==
-<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;144_125&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;144/125&lt;/strong&gt;&lt;br /&gt;
+This interval is especially close to the 10th step of [[49edo]].
-|4 2 -3&amp;gt;&lt;br /&gt;
-.9689 cents&lt;br /&gt;
+== Temperaments ==
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_144_125_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_144_125_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_144_125_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_144_125_pluck_adu_dr220.mp3/513415378/jid_144_125_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_144_125_pluck_adu_dr220.mp3/513415378/jid_144_125_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
+In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university]] temperament treats it as a [[comma]].
-&lt;br /&gt;
-The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) diminished third.&lt;/body&gt;&lt;/html&gt;</pre></div>
+== See also ==
+* [[125/72]] – its [[octave complement]]
+* [[125/96]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+[[Category:Third]]
+[[Category:Diminished third]]
+[[Category:Interseptimal intervals]]
+[[Category:Semifourth]]
+[[Category:University]]