39/32

Interval information

Ratio	39/32
Factorization	2-5 × 3 × 13
Monzo	[-5 1 0 0 0 1⟩
Size in cents	342.4827¢
Names	lesser tridecimal neutral third, octave-reduced 39th harmonic
FJS name	[math]\displaystyle{ \text{m3}^{13} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	10.2854
Weil height (log2 max(n, d))	10.5708
Wilson height (sopfr(nd))	26
[sound info]
Open this interval in xen-calc

39/32, the lesser tridecimal neutral third, is the otonal combination of primes 13 and 3 octave-reduced. It is the fifth complement of 16/13, which measures about 359.5¢. It differs from 32/27 by 1053/1024, about 48¢, from 6/5 by 65/64, about 27¢, from the rastmic neutral third 27/22 by 144/143, about 12¢, and from the undecimal neutral third 11/9 by 352/351, about 4.9¢.

39/32 is a fraction of a cent away from the neutral third found in the 7n family of edos.

See also

• 64/39 - its octave complement
• 16/13 - its fifth complement
• Gallery of just intervals