From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 55/39
Factorization 3-1 × 5 × 11 × 13-1
Monzo [0 -1 1 0 1 -1
Size in cents 595.14899¢
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{n\cdot d}[/math])
~4.5437 bits
open this interval in xen-calc

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