7/5
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2014-06-07 13:53:03 UTC.
- The original revision id was 513189248.
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Original Wikitext content:
**7/5** |0 0 -1 1> 582.51219 cents [[media type="file" key="jid_7_5_pluck_adu_dr220.mp3"]] [[jid_7_5_pluck_adu_dr220.mp3|7/5]] In [[7-limit]] [[Just Intonation]], 7/5 is a narrow [[@http://en.wikipedia.org/wiki/Tritone|tritone]] measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7_4|7/4]] and [[5_4|5/4]]. 7/5 is notable for its low [[harmonic entropy]], and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is [[10_7|10/7]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular]] interval [[50_49|50/49]], about 35.0¢. Systems which temper out 50/49 will equate 7/5 and 10/7, usually to the 600¢ half-octave. Another just tritone is the [[3-limit]] 729/512, 611.7¢, and this is literally a tri-tone, since it is (9/8)<span style="vertical-align: super;">3</span>, or three "whole tones". Yet another is [[45_32|45/32]], about 590.2¢, which appears in the [[5-limit]]. See also [[13_9|13/9]], [[18_13|18/13]], [[17_12|17/12]] and [[24_17|24/17]]. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>7_5</title></head><body><strong>7/5</strong><br /> |0 0 -1 1><br /> 582.51219 cents<br /> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_7_5_pluck_adu_dr220.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;jid_7_5_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_7_5_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 /> <a class="wiki_link" href="/jid_7_5_pluck_adu_dr220.mp3">7/5</a><br /> <br /> In <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 7/5 is a narrow <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tritone" rel="nofollow" target="_blank">tritone</a> measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of <a class="wiki_link" href="/12edo">12edo</a> and every even-numbered <a class="wiki_link" href="/EDO">EDO</a>. It represents the difference between <a class="wiki_link" href="/7_4">7/4</a> and <a class="wiki_link" href="/5_4">5/4</a>.<br /> <br /> 7/5 is notable for its low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is <a class="wiki_link" href="/10_7">10/7</a>, which measures about 617.5¢, and these two septimal tritones differ by the <a class="wiki_link" href="/superparticular">superparticular</a> interval <a class="wiki_link" href="/50_49">50/49</a>, about 35.0¢. Systems which temper out 50/49 will equate 7/5 and 10/7, usually to the 600¢ half-octave.<br /> <br /> Another just tritone is the <a class="wiki_link" href="/3-limit">3-limit</a> 729/512, 611.7¢, and this is literally a tri-tone, since it is (9/8)<span style="vertical-align: super;">3</span>, or three "whole tones". Yet another is <a class="wiki_link" href="/45_32">45/32</a>, about 590.2¢, which appears in the <a class="wiki_link" href="/5-limit">5-limit</a>. See also <a class="wiki_link" href="/13_9">13/9</a>, <a class="wiki_link" href="/18_13">18/13</a>, <a class="wiki_link" href="/17_12">17/12</a> and <a class="wiki_link" href="/24_17">24/17</a>.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>