7/5: Difference between revisions
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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''' | '''7/5''' <br/> | ||
|0 0 -1 1 | {{Monzo| 0 0 -1 1 }} <br/> | ||
582.51219 cents <br/> | |||
[[File:jid_7_5_pluck_adu_dr220.mp3]] [[:File:jid_7_5_pluck_adu_dr220.mp3|sound info]] | |||
[[ | 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]] and [[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]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular]] interval [[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)<sup>3</sup>, or three "whole tones". Yet another is [[45/32]], about 590.2¢, which appears in the [[5-limit]] (inversion is [[64/45]]). See also [[13/9]], [[18/13]], [[17/12]], [[24/17]], [[25/18]] and [[36/25]]. | |||
:''See also [[Gallery of Just Intervals]]'' | |||
[[Category:7-limit]] | |||
[[Category:interval]] | [[Category:interval]] | ||
[[Category:just_interval]] | [[Category:just_interval]] | ||
[[Category:ratio]] | [[Category:ratio]] | ||
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Revision as of 22:08, 10 October 2018
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| JI glyph for 7/5 |
7/5
[0 0 -1 1⟩
582.51219 cents
In 7-limit Just Intonation, 7/5 is a narrow 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 and 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, which measures about 617.5¢, and these two septimal tritones differ by the superparticular interval 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)3, or three "whole tones". Yet another is 45/32, about 590.2¢, which appears in the 5-limit (inversion is 64/45). See also 13/9, 18/13, 17/12, 24/17, 25/18 and 36/25.
- See also Gallery of Just Intervals