64/45
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Ratio | 64/45 |
Factorization | 2^{6} × 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 (log_{2} nd) | 11.4919 |
Weil height (log_{2} 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