7/5: Difference between revisions

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| Monzo = 0 0 -1 1

| Cents = 582.51219

| Name = Huygens tritone

| Name = narrow tritone, Huygens' tritone

| Color name = zg5, zogu 5th

| FJS name = d5<sup>7</sup><sub>5</sub>

| Sound = jid_7_5_pluck_adu_dr220.mp3

~~| Color name = zg5, zogu 5th~~

}}

In [[7-limit]] [[Just Intonation]], '''7/5''' is a '''narrow tritone''' (or '''Huygens tritone''') measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7/4]] and [[5/4]].

In [[7-limit]] [[Just Intonation]], '''7/5''' is a '''narrow tritone''' (or '''Huygens' tritone''') measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7/4]] and [[5/4]].

7/5 is notable for its low [[Harmonic Entropy|harmonic entropy]], and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is [[10/7]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular]] interval [[50/49]], about 35.0¢. Systems which temper out 50/49 will equate 7/5 and [[10/7]], usually to the 600¢ half-octave.

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== See also ==

* [[Tritone]]

* [[10/7]] – its [[octave complement]]

* [[15/14]] – its [[fifth complement]]

* [[Gallery of Just Intervals]]

* [~~http~~:~~//en.wikipedia.org/wiki/Tritone Tritone~~ - Wikipedia]

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

[[Category:7-limit]]

@@ Line 10: / Line 10: @@
 | Monzo = 0 0 -1 1
 | Cents = 582.51219
-| Name = Huygens tritone
+| Name = narrow tritone, Huygens' tritone
+| Color name = zg5, zogu 5th
+| FJS name = d5<sup>7</sup><sub>5</sub>
 | Sound = jid_7_5_pluck_adu_dr220.mp3
-| Color name = zg5, zogu 5th
 }}
-In [[7-limit]] [[Just Intonation]], '''7/5''' is a '''narrow tritone''' (or '''Huygens tritone''') measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7/4]] and [[5/4]].
+In [[7-limit]] [[Just Intonation]], '''7/5''' is a '''narrow tritone''' (or '''Huygens' tritone''') measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7/4]] and [[5/4]].
 /5 is notable for its low [[Harmonic Entropy|harmonic entropy]], and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is [[10/7]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular]] interval [[50/49]], about 35.0¢. Systems which temper out 50/49 will equate 7/5 and [[10/7]], usually to the 600¢ half-octave.
@@ Line 23: / Line 24: @@
 == See also ==
 * [[Tritone]]
+* [[10/7]] – its [[octave complement]]
+* [[15/14]] – its [[fifth complement]]
 * [[Gallery of Just Intervals]]
-* [http://en.wikipedia.org/wiki/Tritone Tritone - Wikipedia]
+* [[Wikipedia:Septimal_tritone|Septimal tritone - Wikipedia]]
 [[Category:7-limit]]