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 gassormic tritone
Color name	tholugu 5th
FJS name	[math]\displaystyle{ \text{d5}^{13}_{5,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	12.0668
Weil height (log2 max(n, d))	12.5708
Wilson height (sopfr(nd))	34
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23244 bits
Open this interval in xen-calc

In 13-limit just intonation, 78/55 is the larger gassormic tritone, measuring about 604.9¢. It is 275/273 (gassorma, about 12.6¢) flat of 10/7. Its inversion is the smaller gassormic 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 gassormic tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.

See also

• 55/39 – its octave complement
• Gallery of just intervals