10/7: Difference between revisions

Line 3:

| Monzo = 1 0 1 -1

| Cents = 617.48781

| Name = high tritone, Euler's tritone

| Name = high tritone, greater septimal tritone, Euler's tritone

| Color name = ry4, ruyo 4th

| FJS name = A457

| Sound = jid_10_7_pluck_adu_dr220.mp3

}}

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 [[~~Wikipedia:Rothenberg propriety|~~Rothenberg propriety]].

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 ==

Line 15:

Line 16:

* [[7/5]] – its [[octave complement]]

* [[21/20]] – its [[fifth complement]]

* [[Gallery of ~~Just Intervals]]~~

* [[Gallery of just intervals]]

* [[Wikipedia:Septimal_tritone|Septimal tritone - Wikipedia]]

[[Category:7-limit]]

~~[[Category:Interval ratio]]~~

~~[[Category:Just interval]]~~

[[Category:Tritone]]

[[Category:Over-7]]

[[Category:Pages with internal sound examples]]

@@ Line 3: / Line 3: @@
 | Monzo = 1 0 1 -1
 | 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
 | FJS name = A4<sup>5</sup><sub>7</sub>
 | Sound = jid_10_7_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Septimal tritone}}
-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 [[Wikipedia:Rothenberg propriety|Rothenberg propriety]].
+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 ==
@@ Line 15: / Line 16: @@
 * [[7/5]] – its [[octave complement]]
 * [[21/20]] – its [[fifth complement]]
-* [[Gallery of Just Intervals]]
+* [[Gallery of just intervals]]
-* [[Wikipedia:Septimal_tritone|Septimal tritone - Wikipedia]]
 [[Category:7-limit]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Tritone]]
 [[Category:Over-7]]
 [[Category:Pages with internal sound examples]]