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
Color name	3oo2, thotho 2nd
FJS name	[math]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.34384 bits
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 to those microtonalists who are more classically minded, as it behaves as a kind of second, with 27/26 behaving as a sort of corresponding chroma.

See also

• 324/169 – its octave complement