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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{n\cdot d}[/math])
~4.70949 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