17/12: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~spt3125~~|~~spt3125~~]] and made on <tt>~~2014~~-06-~~08 21~~:01:32 UTC</tt>.<br>

: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-24 15:09:49 UTC</tt>.<br>

: The original revision id was <tt>~~513276654~~</tt>.<br>

: The original revision id was <tt>590081974</tt>.<br>

: The revision comment was: <tt></tt><br>

: The revision comment was: <tt>fix mistake</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>

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603.0004 cents

[[media type="file" key="jid_17_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]

[[media type="file" key="jid_17_12_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]

In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[~~299_298~~|~~299~~/~~298~~]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[289_288|289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

17/12 is the [[mediant]] between the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]].

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603.0004 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_17_12_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_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');">sound sample</a><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_17_12_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_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');">sound sample</a><br />

<br />

In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/12 is the &quot;second septendecimal tritone,&quot; measuring very nearly 603¢. Its inversion is the &quot;first septendecimal tritone,&quot; <a class="wiki_link" href="/24_17">24/17</a>, and the interval that separates them is the small <a class="wiki_link" href="/comma">comma</a> <a class="wiki_link" href="/~~299_298~~">~~299~~/~~298~~</a>, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered <a class="wiki_link" href="/EDO">EDO</a> system contains a close approximation to these intervals.<br />

In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/12 is the &quot;second septendecimal tritone,&quot; measuring very nearly 603¢. Its inversion is the &quot;first septendecimal tritone,&quot; <a class="wiki_link" href="/24_17">24/17</a>, and the interval that separates them is the small <a class="wiki_link" href="/comma">comma</a> <a class="wiki_link" href="/289_288">289/288</a>, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered <a class="wiki_link" href="/EDO">EDO</a> system contains a close approximation to these intervals.<br />

<br />

17/12 is the <a class="wiki_link" href="/mediant">mediant</a> between the two septimal tritones <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a>.<br />

<br />

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

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:01:32 UTC</tt>.<br>
+: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-24 15:09:49 UTC</tt>.<br>
-: The original revision id was <tt>513276654</tt>.<br>
+: The original revision id was <tt>590081974</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>fix mistake</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>
@@ Line 9: / Line 9: @@
 |-2 -1 0 0 0 0 1&gt;
 .0004 cents
-[[media type="file" key="jid_17_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]
+[[media type="file" key="jid_17_12_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]
-In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[299_298|299/298]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.
+In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[289_288|289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.
 /12 is the [[mediant]] between the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]].
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 |-2 -1 0 0 0 0 1&amp;gt;&lt;br /&gt;
 .0004 cents&lt;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_12_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_17_12_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_17_12_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_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_12_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_17_12_pluck_adu_dr220.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&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_17_12_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_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 17/12 is the &amp;quot;second septendecimal tritone,&amp;quot; measuring very nearly 603¢. Its inversion is the &amp;quot;first septendecimal tritone,&amp;quot; &lt;a class="wiki_link" href="/24_17"&gt;24/17&lt;/a&gt;, and the interval that separates them is the small &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; &lt;a class="wiki_link" href="/299_298"&gt;299/298&lt;/a&gt;, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; system contains a close approximation to these intervals.&lt;br /&gt;
+In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 17/12 is the &amp;quot;second septendecimal tritone,&amp;quot; measuring very nearly 603¢. Its inversion is the &amp;quot;first septendecimal tritone,&amp;quot; &lt;a class="wiki_link" href="/24_17"&gt;24/17&lt;/a&gt;, and the interval that separates them is the small &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt; &lt;a class="wiki_link" href="/289_288"&gt;289/288&lt;/a&gt;, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; system contains a close approximation to these intervals.&lt;br /&gt;
 &lt;br /&gt;
 /12 is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between the two septimal tritones &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; and &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;.&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>