169/162

Interval information

Ratio

169/162

Factorization

2^-1 × 3^-4 × 13²

Monzo

[-1 -4 0 0 0 2⟩

Size in cents

73.23532¢

Name

tridecimal tritonic third tone

FJS name

[math]\displaystyle{ \text{d2}^{13,13} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

14.7407

Weil height (log₂ max(n, d))

14.8018

Wilson height (sopfr(nd))

40

Open this interval in xen-calc

169/162, the tridecimal tritonic third tone, is the interval between 18/13 and 13/9. It is also the difference between a stack of two 27/26 third tones and a 9/8 whole tone- a fact which might be of interest for those microtonalists who are more classically minded, as it behaves as a kind of second, with 27/26 behaving as a sort of corresponding subchroma.

169/162

See also