64/45
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Ratio
64/45
Factorization
26 × 3-2 × 5-1
Monzo
[6 -2 -1⟩
Size in cents
609.7763¢
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
| Interval information |
larger diatonic tritone,
ptolemaic diminished fifth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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