55/39: Difference between revisions

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{{Infobox Interval

~~| Ratio = 55/39~~

| Name = smaller gassormic tritone

~~| Monzo = 0 -1 1 0 1 -1~~

~~| Cents = 595.14899~~

| Name = ~~smaller tridecimal tritone ~~ smaller gassormic tritone

| Color name = thuloyo 4th

~~| FJS name = A45513~~

}}

In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller ~~tridecimal~~ tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger ~~tridecimal~~ tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both ~~tridecimal~~ tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller gassormic tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]], and also the sum of [[11/9]] and [[15/13]], intervals often equated to an exact neutral third and semifourth, respectively. It is also [[936/935]] flat of [[24/17]]. Its inversion is the larger gassormic tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both gassormic tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.

== See also ==

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* [[Gallery of just intervals]]

~~[[Category:13-limit]]~~

[[Category:Tritone]]

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 {{Infobox Interval
-| Ratio = 55/39
+| Name = smaller gassormic tritone
-| Monzo = 0 -1 1 0 1 -1
-| Cents = 595.14899
-| Name = smaller tridecimal tritone<br> smaller gassormic tritone
 | Color name = thuloyo 4th
-| FJS name = A4<sup>55</sup><sub>13</sub>
 }}
-In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller tridecimal tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]]. Its inversion is the larger tridecimal tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both tridecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.
+In [[13-limit]] [[just intonation]], '''55/39''' is the '''smaller gassormic tritone''', measuring about 595.1¢. It is [[275/273]] (gassorma, about 12.6¢) sharp of [[7/5]], and is the interval between [[13/11]] and [[5/3]], and also the sum of [[11/9]] and [[15/13]], intervals often equated to an exact neutral third and semifourth, respectively. It is also [[936/935]] flat of [[24/17]]. Its inversion is the larger gassormic tritone, [[78/55]], and the interval that separates them is the small [[comma]] [[3042/3025]], about 9.7¢. This difference can be negligible, and tempering out this comma allows the 600¢ half-octave to function as both gassormic tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals.
 == See also ==
@@ Line 14: / Line 10: @@
 * [[Gallery of just intervals]]
-[[Category:13-limit]]
 [[Category:Tritone]]