13/10

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Interval information
Ratio 13/10
Monzo |-1 0 -1 0 0 1>
Size in cents 454.21395
Name(s) Barbados third,
tridecimal 9/4 tone,
tridecimal semidiminished fourth,
tridecimal ultramaor third
Color name 3og4, thogu 4th

[sound info]

In 13-limit Just Intonation, 13/10 is an interseptimal interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as 9/7 and a flat perfect fourth such as 21/16. The descriptor "interseptimal" comes from Margo Schulter, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the harmonic series and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (15/13) which stack to make a 3/2 perfect fifth. It is well-approximated in 24edo, 29edo, 37edo, and of course, infinitely many other EDO systems.

See also