9/8: Difference between revisions

Revision as of 16:44, 7 June 2014

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This revision was by author spt3125 and made on 2014-06-07 16:44:59 UTC.

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**9/8**
|-3 2>
203.91000 cents
[[media type="file" key="jid_9_8_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_9_8_pluck_adu_dr220.mp3|sound sample]]

9/8 is the Pythagorean whole tone, measuring approximately 203.9¢. It can be arrived at by stacking two just perfect fifths ([[3_2|3/2]]) and reducing the result by one octave. However, it is also a relatively low overtone in its own right, octave-reduced. It can be treated as a dissonance or a consonance, depending on compositional context.

Two 9/8's stacked produce [[81_64|81/64]], the Pythagorean major third, a rather bright major third of approximately 407.8¢. However, a 9/8 plus the minor whole tone [[10_9|10/9]] yields [[5_4|5/4]]. This distinction, between a major whole tone and minor whole tone, has been completely obliterated in [[12edo]], and so we are unaccustomed to thinking of more than one size of whole tone comprising a major third. Other systems which temper out this difference (which is [[81_80|81/80]], the syntonic comma of about 21.5¢) include [[19edo]], [[26edo]], [[31edo]], and all [[meantone]] temperaments.

9/8 is well-represented in [[6edo]] and its multiples. [[Edo]]s which tune [[3_2]] close to just ([[29edo]], [[41edo]], [[53edo]], to name three) will tune 9/8 close as well.

See: [[Gallery of Just Intervals]]

Original HTML content:

<html><head><title>9_8</title></head><body><strong>9/8</strong><br />
|-3 2&gt;<br />
203.91000 cents<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_9_8_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_9_8_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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_8_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_9_8_pluck_adu_dr220.mp3/513184610/jid_9_8_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_9_8_pluck_adu_dr220.mp3/513184610/jid_9_8_pluck_adu_dr220.mp3');">sound sample</a><br />
<br />
9/8 is the Pythagorean whole tone, measuring approximately 203.9¢. It can be arrived at by stacking two just perfect fifths (<a class="wiki_link" href="/3_2">3/2</a>) and reducing the result by one octave. However, it is also a relatively low overtone in its own right, octave-reduced. It can be treated as a dissonance or a consonance, depending on compositional context.<br />
<br />
Two 9/8's stacked produce <a class="wiki_link" href="/81_64">81/64</a>, the Pythagorean major third, a rather bright major third of approximately 407.8¢. However, a 9/8 plus the minor whole tone <a class="wiki_link" href="/10_9">10/9</a> yields <a class="wiki_link" href="/5_4">5/4</a>. This distinction, between a major whole tone and minor whole tone, has been completely obliterated in <a class="wiki_link" href="/12edo">12edo</a>, and so we are unaccustomed to thinking of more than one size of whole tone comprising a major third. Other systems which temper out this difference (which is <a class="wiki_link" href="/81_80">81/80</a>, the syntonic comma of about 21.5¢) include <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/26edo">26edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, and all <a class="wiki_link" href="/meantone">meantone</a> temperaments.<br />
<br />
9/8 is well-represented in <a class="wiki_link" href="/6edo">6edo</a> and its multiples. <a class="wiki_link" href="/Edo">Edo</a>s which tune <a class="wiki_link" href="/3_2">3_2</a> close to just (<a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, to name three) will tune 9/8 close as well.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>

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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>2014-06-07 12:30:03 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 16:44:59 UTC</tt>.<br>
-: The original revision id was <tt>513184734</tt>.<br>
+: The original revision id was <tt>513197596</tt>.<br>
 : 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>
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 |-3 2&gt;
 .91000 cents
-[[media type="file" key="jid_9_8_pluck_adu_dr220.mp3"]]
+[[media type="file" key="jid_9_8_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_9_8_pluck_adu_dr220.mp3|sound sample]]
 /8 is the Pythagorean whole tone, measuring approximately 203.9¢. It can be arrived at by stacking two just perfect fifths ([[3_2|3/2]]) and reducing the result by one octave. However, it is also a relatively low overtone in its own right, octave-reduced. It can be treated as a dissonance or a consonance, depending on compositional context.
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 |-3 2&amp;gt;&lt;br /&gt;
 .91000 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_8_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_8_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_8_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;br /&gt;
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 &lt;br /&gt;
 /8 is the Pythagorean whole tone, measuring approximately 203.9¢. It can be arrived at by stacking two just perfect fifths (&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;) and reducing the result by one octave. However, it is also a relatively low overtone in its own right, octave-reduced. It can be treated as a dissonance or a consonance, depending on compositional context.&lt;br /&gt;

9/8: Difference between revisions

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