78/55

Interval information

Ratio

78/55

Factorization

2 × 3 × 5^-1 × 11^-1 × 13

Monzo

[1 1 -1 0 -1 1⟩

Size in cents

604.851¢

Name

larger tridecimal tritone
larger gassormic tritone

Color name

tholugu 5th

FJS name

[math]\displaystyle{ \text{d5}^{13}_{55} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

12.0668

Weil height (log₂ max(n, d))

12.5708

Wilson height (sopfr(nd))

34

Open this interval in xen-calc

In 13-limit just intonation, 78/55 is the larger tridecimal tritone, measuring about 604.9¢. It is 275/273 (gassorma, about 12.6¢) flat of 10/7. Its inversion is the smaller tridecimal tritone, 55/39, 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.

78/55

See also