7/5
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- This revision was by author hstraub and made on 2017-11-23 15:31:01 UTC.
- The original revision id was 622275597.
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Original Wikitext content:
<span style="display: block; text-align: right;">[[xenharmonie/7_5|Deutsch]] </span> [[image:ji glyph 7 5.png width="147" height="116" caption="JI glyph for 7/5"]] **7/5** |0 0 -1 1> 582.51219 cents [[media type="file" key="jid_7_5_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_7_5_pluck_adu_dr220.mp3|sound sample]] 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|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]] (inversion is [[64_45|64/45]]). See also [[13_9|13/9]], [[18_13|18/13]], [[17_12|17/12]], [[24_17|24/17]], [[25_18|25/18]] and [[36_25|36/25]]. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>7_5</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/7_5">Deutsch</a><br />
</span><br />
<!-- ws:start:WikiTextLocalImageRule:1:<img src="/file/view/ji%20glyph%207%205.png/545214466/147x116/ji%20glyph%207%205.png" alt="JI glyph for 7/5" title="JI glyph for 7/5" style="height: 116px; width: 147px;" /> --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/ji%20glyph%207%205.png/545214466/147x116/ji%20glyph%207%205.png" alt="ji glyph 7 5.png" title="ji glyph 7 5.png" style="height: 116px; width: 147px;" /></td></tr><tr><td class="imageCaption">JI glyph for 7/5</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1 --><br />
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<strong>7/5</strong><br />
|0 0 -1 1><br />
582.51219 cents<br />
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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 <a class="wiki_link" href="/10_7">10/7</a>, 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> (inversion is <a class="wiki_link" href="/64_45">64/45</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>, <a class="wiki_link" href="/24_17">24/17</a>, <a class="wiki_link" href="/25_18">25/18</a> and <a class="wiki_link" href="/36_25">36/25</a>.<br />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>