10/7: Difference between revisions

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Type: Utonal  
Type: Utonal  


In [[7-limit]] [[Just Intonation]], 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7 -- but no 7/5.)
In [[7-limit]] [[Just Intonation]], '''10/7''' is a '''high tritone''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7 -- but no 7/5.)


:''See also [[Gallery of Just Intervals]]''
== See also ==
* [[Gallery of Just Intervals]]
* [[Tritone]]
* [http://en.wikipedia.org/wiki/Tritone Tritone - Wikipedia]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:interval]]
[[Category:Interval]]
[[Category:just_interval]]
[[Category:Just interval]]
[[Category:ratio]]
[[Category:Ratio]]
[[Category:tritone]]
[[Category:Tritone]]

Revision as of 17:03, 23 October 2018

Interval information
Ratio 10/7
Factorization 2 × 5 × 7-1
Monzo [1 0 1 -1
Size in cents 617.4878¢
Name high tritone
Color name ry4, ruyo 4th
FJS name [math]\displaystyle{ \text{A4}^{5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 6.12928
Weil norm (log2 max(n, d)) 6.64386
Wilson norm (sopfr(nd)) 14

[sound info]
Open this interval in xen-calc

Type: Utonal

In 7-limit Just Intonation, 10/7 is a high tritone (or Euler's tritone) measuring about 617.5¢. It has a similar sound to its inversion, 7/5, but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third (5/4) appears above the harmonic seventh (7/4), such as 4:6:7:10. (This particular chord is well-approximated in 88cET, which has a good approximation of 10/7 -- but no 7/5.)

See also