78/55
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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 (log_{2} nd) | 12.0668 |
Weil height (log_{2} 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.