View source for 7/5

<span style="display: block; text-align: right;">[[:de:7/5|Deutsch]]</span>

{| class="wikitable"
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| | [[File:ji_glyph_7_5.png|alt=ji glyph 7 5.png|147x116px|ji glyph 7 5.png]]
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| | JI glyph for 7/5
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'''7/5'''
|0 0 -1 1&gt;

582.51219 cents

[[File:jid_7_5_pluck_adu_dr220.mp3]] [[:File:jid_7_5_pluck_adu_dr220.mp3|sound sample]]

In [[7-limit|7-limit]] [[Just_intonation|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|12edo]] and every even-numbered [[EDO|EDO]]. It represents the difference between [[7/4|7/4]] and [[5/4|5/4]].

7/5 is notable for its low [[Harmonic_Entropy|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|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|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|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|Gallery of Just Intervals]]      [[Category:7-limit]]
[[Category:interval]]
[[Category:just_interval]]
[[Category:ratio]]