45/32
(Redirected from 45 32)
Jump to navigation
Jump to search
| Ratio | 45/32 |
| Factorization | 2-5 × 32 × 5 |
| Monzo | [-5 2 1⟩ |
| Size in cents | 590.22372¢ |
| Names | smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth |
| Color name | y4, yo 4th |
| FJS name | [math]\text{A4}^{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 10.4919 |
| Weil height (log2 max(n, d)) | 10.9837 |
| Wilson height (sopfr (nd)) | 21 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.53456 bits |
[sound info] | |
| open this interval in xen-calc | |
45/32 is the smaller pental tritone, a diatonic tritone of 5-limit just intonation- specifically, it is the ptolemaic augmented fourth. It is a syntonic comma away from the Pythagorean augmented fourth 729/512, which means it is justly tuned in 1/6 syntonic comma meantone. It is separated from its inversion of 64/45 by the diaschisma, 2048/2025 (c. 19.6 cents).
See also
- 64/45 – its octave complement
- 16/15 – its fifth complement