55/39
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Ratio
55/39
Factorization
3-1 × 5 × 11 × 13-1
Monzo
[0 -1 1 0 1 -1⟩
Size in cents
595.149¢
Name
smaller gassormic tritone
Color name
thuloyo 4th
FJS name
[math]\text{A4}^{5,11}_{13}[/math]
Special properties
reduced
Tenney height (log2 nd)
11.0668
Weil height (log2 max(n, d))
11.5627
Wilson height (sopfr(nd))
32
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.19949 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
In 13-limit just intonation, 55/39 is the smaller gassormic 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 larger gassormic tritone, 78/55, 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.