24/17: Difference between revisions

Line 1:

~~'''~~24/17~~'''~~

{{Infobox Interval

|3 1 0 0 0 0 -1~~>~~

| Icon =

| Ratio = 24/17

| Monzo = 3 1 0 0 0 0 -1

| Cents = 596.99959

| Name = smaller septendecimal tritone

| Color name =

| Sound = jid_24_17_pluck_adu_dr220.mp3

}}

~~596~~.~~9996 cents~~

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.

~~[[File~~:~~jid_24_17_pluck_adu_dr220.mp3]]~~ [[~~:File:jid_24_17_pluck_adu_dr220.mp3|sound sample~~]]

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

In [[~~17-limit|~~17-limit]] [[Just_intonation|Just Intonation]], 24/17 is the "first septendecimal tritone," measuring very nearly 597¢. It is the [[mediant|mediant]] between [[7/5|7/5]] and [[17/12|17/12]], the "second 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|EDO]] systems, including [[12edo|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|22edo~~]] ~~is another good EDO system for using the half-octave in this way.~~

[[Category:17-limit]]

[[Category:Tritone]]

~~See:~~ [[~~Gallery_of_Just_Intervals|Gallery of Just Intervals~~]]

[[Category:Interval]]

@@ Line 1: / Line 1: @@
-'''24/17'''
+{{Infobox Interval
-|3 1 0 0 0 0 -1&gt;
+| Icon =
+| Ratio = 24/17
+| Monzo = 3 1 0 0 0 0 -1
+| Cents = 596.99959
+| Name = smaller septendecimal tritone
+| Color name =
+| Sound = jid_24_17_pluck_adu_dr220.mp3
+}}
-.9996 cents
+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.
-[[File:jid_24_17_pluck_adu_dr220.mp3]] [[:File:jid_24_17_pluck_adu_dr220.mp3|sound sample]]
+''See also: [[Gallery of just intervals]]''
-In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 24/17 is the "first septendecimal tritone," measuring very nearly 597¢. It is the [[mediant|mediant]] between [[7/5|7/5]] and [[17/12|17/12]], the "second 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|EDO]] systems, including [[12edo|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|22edo]] is another good EDO system for using the half-octave in this way.
+[[Category:17-limit]]
+[[Category:Tritone]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:Interval]]