18/13: Difference between revisions

Line 4:

| Monzo = 1 2 0 0 0 -1

| Cents = 563.38234

| Name = low tritone <br/> tridecimal augmented fourth

| Name = low tritone, <br>tridecimal augmented fourth

| Color name = 3u4, thu 4th

| FJS name = A4<sub>13</sub>

| Sound = jid_18_13_pluck_adu_dr220.mp3

}}

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¢.

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¢.

== See also ==

* [[Tritone]]

* [[13/9]] – its [[octave complement]]

* [[13/12]] – its [[fifth complement]]

* [[Gallery of just intervals]]

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

[[Category:13-limit]]

~~[[Category:15-odd-limit]]~~

[[Category:Interval]]

[[Category:Just interval]]

[[Category:Ratio]]

[[Category:Tritone]]

@@ Line 4: / Line 4: @@
 | Monzo = 1 2 0 0 0 -1
 | Cents = 563.38234
-| Name = low tritone <br/> tridecimal augmented fourth
+| Name = low tritone, <br>tridecimal augmented fourth
 | Color name = 3u4, thu 4th
+| FJS name = A4<sub>13</sub>
 | Sound = jid_18_13_pluck_adu_dr220.mp3
 }}
-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¢.
+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¢.
 == See also ==
+* [[Tritone]]
+* [[13/9]] – its [[octave complement]]
+* [[13/12]] – its [[fifth complement]]
 * [[Gallery of just intervals]]
-* [[13/9]] -- its [[inversion]]
 [[Category:13-limit]]
-[[Category:15-odd-limit]]
 [[Category:Interval]]
 [[Category:Just interval]]
 [[Category:Ratio]]
 [[Category:Tritone]]