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 gassormic tritone
Color name	thuloyo 4th
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.19949 bits
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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.

See also

• 78/55 – its octave complement
• Gallery of just intervals