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 (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.