10/7
| Interval information |
greater septimal tritone,
Euler's tritone
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.
While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a diatonic scale that demonstrates Rothenberg propriety.