10/7: Difference between revisions
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| Monzo = 1 0 1 -1 | | Monzo = 1 0 1 -1 | ||
| Cents = 617.48781 | | Cents = 617.48781 | ||
| Name = high tritone, <br>Euler's tritone | | Name = high tritone, <br>greater septimal tritone, <br>Euler's tritone | ||
| Color name = ry4, ruyo 4th | | Color name = ry4, ruyo 4th | ||
| FJS name = A4<sup>5</sup><sub>7</sub> | | 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 | ||
}} | }} | ||
{{Wikipedia|Septimal tritone}} | |||
In [[7-limit]] [[ | 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 heptatonic scale that demonstrates [[Rothenberg propriety]]. | ||
== See also == | == See also == | ||
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* [[7/5]] – its [[octave complement]] | * [[7/5]] – its [[octave complement]] | ||
* [[21/20]] – its [[fifth complement]] | * [[21/20]] – its [[fifth complement]] | ||
* [[Gallery of | * [[Gallery of just intervals]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Tritone]] | [[Category:Tritone]] | ||
[[Category:Over-7]] | [[Category:Over-7]] | ||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 21:31, 1 January 2022
| Interval information |
greater septimal tritone,
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 heptatonic scale that demonstrates Rothenberg propriety.