55/39

Interval information

Ratio

55/39

Factorization

3^-1 × 5 × 11 × 13^-1

Monzo

[0 -1 1 0 1 -1⟩

Size in cents

595.149¢

Name

smaller tridecimal tritone
smaller gassormic tritone

Color name

thuloyo 4th

FJS name

[math]\displaystyle{ \text{A4}^{55}_{13} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

11.0668

Weil height (log₂ max(n, d))

11.5627

Wilson height (sopfr(nd))

32

Open this interval in xen-calc

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 smaller septendecimal tritone, 78/55, and the interval that separates them is the small comma 3042/3025, about 9.7¢. This difference is usually 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.

55/39

See also