18/13: Difference between revisions

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~~'''~~18/13~~'''~~

{{Infobox Interval

|1 2 0 0 0 -1~~>~~

| Icon =

| Ratio = 18/13

| Monzo = 1 2 0 0 0 -1

| Cents = 563.38234

| Name = low tritone

| Color name =

| Sound = jid_18_13_pluck_adu_dr220.mp3

}}

563.~~38234 cents~~

In [[13-limit]] [[just intonation]], '''18/13''' is a low [[tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales|harmonic series]]. The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.

[[~~File:jid_18_13_pluck_adu_dr220.mp3~~]] [[~~:File:jid_18_13_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[Gallery of just intervals]]

* [[13/9]] -- its [[inversion]]

In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], '''18/13''' is a low [[tritone|tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the [[overtone_scales|harmonic series]]. The low tritone in [[17edo|17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8|13/8]] and [[9/8|9/8]] are both a little sharp. The inversion of 18/13 is [[13/9|13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.

[[Category:13-limit]]

[[Category:15-odd-limit]]

Other just tritones include [[7/5|7/5]], [[10/7|10/7]], [[45/32|45/32]], [[64/45|64/45]], [[24/17|24/17]], [[17/12|17/12]], [[23/16|23/16]], [[32/23|32/23]], and, of course, infinitely many more intervals.

[[Category:Interval]]

[[Category:Just interval]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:13-limit]]

[[Category:Ratio]]

[[Category:15-limit]]

[[Category:Tritone]]

[[Category:~~interval~~]]

[[Category:~~just_interval~~]]

[[Category:~~ratio~~]]

[[Category:~~tritone~~]]

@@ Line 1: / Line 1: @@
-'''18/13'''
+{{Infobox Interval
-|1 2 0 0 0 -1&gt;
+| Icon =
+| Ratio = 18/13
+| Monzo = 1 2 0 0 0 -1
+| Cents = 563.38234
+| Name = low tritone
+| Color name =
+| Sound = jid_18_13_pluck_adu_dr220.mp3
+}}
-.38234 cents
+In [[13-limit]] [[just intonation]], '''18/13''' is a low [[tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales|harmonic series]]. The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.
-[[File:jid_18_13_pluck_adu_dr220.mp3]] [[:File:jid_18_13_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of just intervals]]
+* [[13/9]] -- its [[inversion]]
-In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], '''18/13''' is a low [[tritone|tritone]] measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the [[overtone_scales|harmonic series]]. The low tritone in [[17edo|17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8|13/8]] and [[9/8|9/8]] are both a little sharp. The inversion of 18/13 is [[13/9|13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.
+[[Category:13-limit]]
+[[Category:15-odd-limit]]
-Other just tritones include [[7/5|7/5]], [[10/7|10/7]], [[45/32|45/32]], [[64/45|64/45]], [[24/17|24/17]], [[17/12|17/12]], [[23/16|23/16]], [[32/23|32/23]], and, of course, infinitely many more intervals.
+[[Category:Interval]]
+[[Category:Just interval]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:13-limit]]
+[[Category:Ratio]]
-[[Category:15-limit]]
+[[Category:Tritone]]
-[[Category:interval]]
-[[Category:just_interval]]
-[[Category:ratio]]
-[[Category:tritone]]