64/55

Interval information

Ratio	64/55
Factorization	26 × 5-1 × 11-1
Monzo	[6 0 -1 0 -1⟩
Size in cents	262.3683¢
Name	keenanismic subminor third
FJS name	[math]\displaystyle{ \text{m3}_{55} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	11.7814
Weil height (log2 max(n, d))	12
Wilson height (sopfr(nd))	28
[sound info]
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64/55, the keenanismic subminor third, is 385/384 (4.5 cents) flatter than 7/6. It arises in 11-limit scales as the interval between 5/4 and 16/11, and between 11/8 and 8/5. On account of its close resemblance to 7/6, it can be stacked on top of a 5/4 major third as a means of creating one of the least dissonant among triads with a 16/11 subfifth as the outside interval.

See also

• 55/32 -- its octave complement
• Gallery of just intervals
• info...