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 | 595.14899¢ |
Name | smaller gassormic tritone |
Color name | thuloyo 4th |
FJS name | [math]\text{A4}^{5,11}_{13}[/math] |
Special properties | reduced |
Tenney height (log_{2} n⋅d) | 11.0668 |
Weil height (max(n, d)) | 55 |
Benedetti height (n⋅d) | 2145 |
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.