78/55
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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]\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]\sqrt{nd}[/math])
~4.23244 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.