10/7: Difference between revisions
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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.) 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 scale that demonstrates [[Wikipedia:Rothenberg propriety|Rothenberg propriety]]. | ||
== See also == | == See also == | ||
Revision as of 23:03, 23 December 2020
| Interval information |
Euler's tritone
[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 scale that demonstrates Rothenberg propriety.