10/7: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Inthar (talk | contribs)
mNo edit summary
m +FJS name; cleanup
Line 4: Line 4:
| Monzo = 1 0 1 -1  
| Monzo = 1 0 1 -1  
| Cents = 617.48781  
| Cents = 617.48781  
| Name = high tritone
| Name = high tritone, <br>Euler's tritone
| Color name = ry4, ruyo 4th
| Color name = ry4, ruyo 4th
| FJS name = A4<sup>5</sup><sub>7</sub>
| Sound = jid_10_7_pluck_adu_dr220.mp3
| Sound = jid_10_7_pluck_adu_dr220.mp3
}}
}}
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.)
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 ==
== See also ==
* [[Tritone]]
* [[7/5]] – its [[octave complement]]
* [[21/20]] – its [[fifth complement]]
* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]
* [[Tritone]]
* [[Wikipedia:Septimal_tritone|Septimal tritone - Wikipedia]]
* [http://en.wikipedia.org/wiki/Tritone Tritone - Wikipedia]


[[Category:7-limit]]
[[Category:7-limit]]

Revision as of 14:35, 19 September 2020

Interval information
Ratio 10/7
Factorization 2 × 5 × 7-1
Monzo [1 0 1 -1
Size in cents 617.4878¢
Names high tritone,
Euler's 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

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