169/162
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Ratio | 169/162 |
Factorization | 2^{-1} × 3^{-4} × 13^{2} |
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 (log_{2} nd) | 14.7407 |
Weil height (log_{2} 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
- 324/169 – its octave complement