16/9: 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 = Pythagorean minor seventh

~~: This revision was by author [[User:spt3125~~|~~spt3125]] and made on <tt>2014-06-07 23:43:18 UTC</tt>.<br>~~

| Color name = w7, wa 7th

~~: The original revision id was <tt>513215964</tt>.<br>~~

| Sound = jid_16_9_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">**16/9**

|~~4 -2>~~

~~996.09000 cents~~

~~[[media type="file" key~~=~~"jid_16_9_pluck_adu_dr220.mp3"]] [[file:xenharmonic/~~jid_16_9_pluck_adu_dr220.mp3|~~sound sample]]~~

In [[3-limit]] [[~~Just Intonation~~]], 16/9 is the [[Pythagorean]] minor seventh, at about 996.1 cents. It is equal to two perfect ~~fourths~~, or (4/3)*(4/3). It differs from the nearby [[5-limit]] minor seventh [[~~9_5|~~9/5]] (~1017.6 cents) by the syntonic comma of [[~~81_80|~~81/80]] (~21.5 cents).

In [[3-limit]] [[just intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[4/3|perfect fourth]]s, or (4/3)×(4/3), and is thus the [[octave reduced]] form of the ninth [[subharmonic]]. It differs from the nearby [[5-limit]] minor seventh [[9/5]] (~1017.6 cents) by the syntonic comma of [[81/80]] (~21.5 cents), and the [[7-limit]] minor seventh [[7/4]] (~968.8 cents) by the septimal comma of [[64/63]] (~27.3 cents).

See: [[~~Gallery of Just Intervals~~]]~~</pre></div>~~

== See also ==

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

* [[9/8]] – its [[octave complement]]

<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>16_9</title></head><body><strong>16/9~~</strong><br />~~

* [[Ed16/9]]

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

* [[Gallery of just intervals]]

~~996.09000 cents<br />~~

~~<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_16_9_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_16_9_pluck_adu_dr220.mp3/513215798/jid_16_9_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http:~~//xenharmonic.wikispaces.com/file/view/jid_16_9_pluck_adu_dr220.mp3/513215798/jid_16_9_pluck_adu_dr220.mp3');">sound sample</a><br />

[[Category:Seventh]]

~~<br />~~

[[Category:Minor seventh]]

In <a class="wiki_link" href="/3-limit">3-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 16/9 is the <a class="wiki_link" href="/Pythagorean">Pythagorean</a> minor seventh, at about 996.1 cents. It is equal to two perfect fourths, or (4/3)*(4/3). It differs from the nearby <a class="wiki_link" href="/5-limit">5-limit</a> minor seventh <a class="wiki_link" href="/9_5">9/5</a> (~1017.6 cents) by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a> (~21.5 cents).<br />

~~<br />~~

~~See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>~~

@@ 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 = Pythagorean minor seventh
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 23:43:18 UTC</tt>.<br>
+| Color name = w7, wa 7th
-: The original revision id was <tt>513215964</tt>.<br>
+| Sound = jid_16_9_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>
+{{Wikipedia|Minor seventh}}
-<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">**16/9**
-|4 -2&gt;
-.09000 cents
-[[media type="file" key="jid_16_9_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_16_9_pluck_adu_dr220.mp3|sound sample]]
-In [[3-limit]] [[Just Intonation]], 16/9 is the [[Pythagorean]] minor seventh, at about 996.1 cents.  It is equal to two perfect fourths, or (4/3)*(4/3).  It differs from the nearby [[5-limit]] minor seventh [[9_5|9/5]] (~1017.6 cents) by the syntonic comma of [[81_80|81/80]] (~21.5 cents).
+In [[3-limit]] [[just intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[4/3|perfect fourth]]s, or (4/3)×(4/3), and is thus the [[octave reduced]] form of the ninth [[subharmonic]]. It differs from the nearby [[5-limit]] minor seventh [[9/5]] (~1017.6 cents) by the syntonic comma of [[81/80]] (~21.5 cents), and the [[7-limit]] minor seventh [[7/4]] (~968.8 cents) by the septimal comma of [[64/63]] (~27.3 cents).
-See: [[Gallery of Just Intervals]]</pre></div>
+== See also ==
-<h4>Original HTML content:</h4>
+* [[9/8]] – its [[octave complement]]
-<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;16_9&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;16/9&lt;/strong&gt;&lt;br /&gt;
+* [[Ed16/9]]
-|4 -2&amp;gt;&lt;br /&gt;
+* [[Gallery of just intervals]]
-.09000 cents&lt;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_16_9_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_16_9_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_16_9_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_16_9_pluck_adu_dr220.mp3/513215798/jid_16_9_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_16_9_pluck_adu_dr220.mp3/513215798/jid_16_9_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
+[[Category:Seventh]]
-&lt;br /&gt;
+[[Category:Minor seventh]]
-In &lt;a class="wiki_link" href="/3-limit"&gt;3-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 16/9 is the &lt;a class="wiki_link" href="/Pythagorean"&gt;Pythagorean&lt;/a&gt; minor seventh, at about 996.1 cents.  It is equal to two perfect fourths, or (4/3)*(4/3).  It differs from the nearby &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; minor seventh &lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt; (~1017.6 cents) by the syntonic comma of &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt; (~21.5 cents).&lt;br /&gt;
-&lt;br /&gt;
-See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>