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9/7: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{| class="wikitable"
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
|-
: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 21:04:34 UTC</tt>.<br>
| | [[File:glyph_9_7.png|alt=glyph 9 7.png|101x137px|glyph 9 7.png]]
: The original revision id was <tt>545216774</tt>.<br>
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: The revision comment was: <tt></tt><br>
| | JI glyph for 9/7
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">[[image:glyph 9 7.png width="101" height="137" caption="JI glyph for 9/7"]]


**9/7**
'''9/7'''
|0 2 0 -1&gt;
|0 2 0 -1&gt;
435.08410 cents
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.  
[[File:jid_9_7_pluck_adu_dr220.mp3]] [[:File:jid_9_7_pluck_adu_dr220.mp3|sound sample]]
 
In [[Just_intonation|Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit|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.
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|9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.


See also:
See also:
[[Gallery of Just Intervals]]
 
[[http://en.wikipedia.org/wiki/Septimal_major_third|Septimal major third]] (Wikipedia)</pre></div>
[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;9_7&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1:&amp;lt;img src=&amp;quot;/file/view/glyph%209%207.png/545215708/101x137/glyph%209%207.png&amp;quot; alt=&amp;quot;JI glyph for 9/7&amp;quot; title=&amp;quot;JI glyph for 9/7&amp;quot; style=&amp;quot;height: 137px; width: 101px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;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;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;JI glyph for 9/7&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1 --&gt;&lt;br /&gt;
[http://en.wikipedia.org/wiki/Septimal_major_third Septimal major third] (Wikipedia)
&lt;br /&gt;
[[Category:7-limit]]
&lt;strong&gt;9/7&lt;/strong&gt;&lt;br /&gt;
[[Category:interval]]
|0 2 0 -1&amp;gt;&lt;br /&gt;
[[Category:just_interval]]
435.08410 cents&lt;br /&gt;
[[Category:major_third]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_9_7_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_7_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_9_7_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_9_7_pluck_adu_dr220.mp3/513184476/jid_9_7_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_9_7_pluck_adu_dr220.mp3/513184476/jid_9_7_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:ratio]]
&lt;br /&gt;
[[Category:supermajor]]
In &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 9/7 is a supermajor third of approximately 435.1¢, characteristic of &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; 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. &lt;br /&gt;
&lt;br /&gt;
A just chord can be built with this wide third in place of the more traditional &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;. 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 &lt;a class="wiki_link" href="/9-limit"&gt;9-limit&lt;/a&gt; hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.&lt;br /&gt;
&lt;br /&gt;
See also:&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_major_third" rel="nofollow"&gt;Septimal major third&lt;/a&gt; (Wikipedia)&lt;/body&gt;&lt;/html&gt;</pre></div>
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