10/7

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]
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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

• Gallery of Just Intervals
• Tritone
• Tritone - Wikipedia