55/39: Difference between revisions
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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 | 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. | ||
== See also == | == See also == | ||
Revision as of 12:53, 11 January 2022
| Interval information |
smaller gassormic tritone
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.