64/45
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| Ratio | 64/45 |
| Factorization | 26 × 3-2 × 5-1 |
| Monzo | [6 -2 -1⟩ |
| Size in cents | 609.77628¢ |
| Names | larger pental tritone, larger diatonic tritone, ptolemaic diminished fifth |
| Color name | g5, gu 5th |
| FJS name | [math]\text{d5}_{5}[/math] |
| Special properties | reduced, reduced subharmonic |
| Tenney height (log2 nd) | 11.4919 |
| Weil height (log2 max(n, d)) | 12 |
| Wilson height (sopfr (nd)) | 23 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.22456 bits |
[sound info] | |
| open this interval in xen-calc | |
64/45 is the larger pental tritone, a diatonic tritone of 5-limit just intonation — specifically, it is the ptolemaic diminished fifth. It is separated from its inversion of 45/32 by the diaschisma, 2048/2025 (c. 19.6 cents).
See also
- 45/32 – its octave complement
- 135/128 – its fifth complement