47/32
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| Ratio | 47/32 |
| Subgroup monzo | 2.47 [-5 1⟩ |
| Size in cents | 665.50662¢ |
| Names | quadracesimoseptimal subfifth, prime harmonic subfifth |
| Color name | 47o5, foso fifth |
| FJS name | [math]\text{P5}^{47}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 10.5546 |
| Weil height (log2 max(n, d)) | 11.1092 |
| Wilson height (sopfr(nd)) | 57 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.31119 bits |
[sound info] | |
| open this interval in xen-calc | |
47/32 is the quadracesimoseptimal subfifth or harmonic subfifth. It is the octave-reduced 47th harmonic and is close to 5\9 (666.66667 ¢). This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval–the closest before this point is 23/16, a large tritone.