64/45

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.22456 bits
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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