24/17: Difference between revisions

Line 6:

| Name = smaller septendecimal tritone

| Color name =

| FJS name = A4<sub>17</sub>

| Sound = jid_24_17_pluck_adu_dr220.mp3

}}

In [[17-limit]] [[just intonation]], '''24/17''' is the "smaller septendecimal tritone", measuring very nearly 597¢. It is the [[mediant]] between [[7/5]] and [[17/12]], the "larger septendecimal tritone." The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way.

In [[17-limit]] [[just intonation]], '''24/17''' is the '''smaller septendecimal tritone''', measuring very nearly 597¢. It is the [[mediant]] between [[7/5]] and [[17/12]], the "larger septendecimal tritone". The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way.

''See also: [[Gallery of just intervals]]''

== See also ==

* [[17/12]] – its [[octave complement]]

* [[17/16]] – its [[fifth complement]]

* [[Gallery of just intervals]]

[[Category:17-limit]]

[[Category:Interval]]

[[Category:Ratio]]

[[Category:Tritone]]

~~[[Category:Interval]]~~

@@ Line 6: / Line 6: @@
 | Name = smaller septendecimal tritone
 | Color name =
+| FJS name = A4<sub>17</sub>
 | Sound = jid_24_17_pluck_adu_dr220.mp3
 }}
-In [[17-limit]] [[just intonation]], '''24/17''' is the "smaller septendecimal tritone", measuring very nearly 597¢. It is the [[mediant]] between [[7/5]] and [[17/12]], the "larger septendecimal tritone." The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way.
+In [[17-limit]] [[just intonation]], '''24/17''' is the '''smaller septendecimal tritone''', measuring very nearly 597¢. It is the [[mediant]] between [[7/5]] and [[17/12]], the "larger septendecimal tritone". The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered [[EDO]] systems, including [[12edo]]. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. [[22edo]] is another good EDO system for using the half-octave in this way.
-''See also: [[Gallery of just intervals]]''
+== See also ==
+* [[17/12]] – its [[octave complement]]
+* [[17/16]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
 [[Category:17-limit]]
+[[Category:Interval]]
+[[Category:Ratio]]
 [[Category:Tritone]]
-[[Category:Interval]]