9/7

Revision as of 21:04, 24 March 2015 by Wikispaces>k9assassin (**Imported revision 545216774 - Original comment: **)

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This revision was by author k9assassin and made on 2015-03-24 21:04:34 UTC.
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Original Wikitext content:

[[image:glyph 9 7.png width="101" height="137" caption="JI glyph for 9/7"]]

**9/7**
|0 2 0 -1>
435.08410 cents
[[media type="file" key="jid_9_7_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_9_7_pluck_adu_dr220.mp3|sound sample]]

In [[Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality. 

A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.

See also:
[[Gallery of Just Intervals]]
[[http://en.wikipedia.org/wiki/Septimal_major_third|Septimal major third]] (Wikipedia)

Original HTML content:

<html><head><title>9_7</title></head><body><!-- ws:start:WikiTextLocalImageRule:1:&lt;img src=&quot;/file/view/glyph%209%207.png/545215708/101x137/glyph%209%207.png&quot; alt=&quot;JI glyph for 9/7&quot; title=&quot;JI glyph for 9/7&quot; style=&quot;height: 137px; width: 101px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/glyph%209%207.png/545215708/101x137/glyph%209%207.png" alt="glyph 9 7.png" title="glyph 9 7.png" style="height: 137px; width: 101px;" /></td></tr><tr><td class="imageCaption">JI glyph for 9/7</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1 --><br />
<br />
<strong>9/7</strong><br />
|0 2 0 -1&gt;<br />
435.08410 cents<br />
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<br />
In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 9/7 is a supermajor third of approximately 435.1¢, characteristic of <a class="wiki_link" href="/7-limit">7-limit</a> and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th. The interval has an interesting neutral quality to it similar to the way 9/8 behaves as ratios of nine all share this quality. <br />
<br />
A just chord can be built with this wide third in place of the more traditional <a class="wiki_link" href="/5_4">5/4</a>. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the <a class="wiki_link" href="/9-limit">9-limit</a> hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.<br />
<br />
See also:<br />
<a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a><br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_major_third" rel="nofollow">Septimal major third</a> (Wikipedia)</body></html>