78/55
Jump to navigation
Jump to search
| Ratio | 78/55 |
| Factorization | 2 × 3 × 5-1 × 11-1 × 13 |
| Monzo | [1 1 -1 0 -1 1⟩ |
| Size in cents | 604.85101¢ |
| Name | larger gassormic tritone |
| Color name | tholugu 5th |
| FJS name | [math]\text{d5}^{13}_{5,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 12.0668 |
| Weil height (log2 max(n, d)) | 12.5708 |
| Wilson height (sopfr(nd)) | 34 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.23244 bits |
| open this interval in xen-calc | |
In 13-limit just intonation, 78/55 is the larger gassormic tritone, measuring about 604.9¢. It is 275/273 (gassorma, about 12.6¢) flat of 10/7. Its inversion is the smaller gassormic tritone, 55/39, 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.