45/32
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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