9/8
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- This revision was by author spt3125 and made on 2014-06-07 12:30:03 UTC.
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**9/8** |-3 2> 203.91000 cents [[media type="file" key="jid_9_8_pluck_adu_dr220.mp3"]] 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><br /> 203.91000 cents<br /> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_9_8_pluck_adu_dr220.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;jid_9_8_pluck_adu_dr220.mp3&quot;" title="Local Media File"height="20" width="240"/> --><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 --><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>