165/128

Interval information

Ratio	165/128
Factorization	2-7 × 3 × 5 × 11
Monzo	[-7 1 1 0 1⟩
Size in cents	439.5867¢
Name	keenanismic supermajor third
Color name	1oy3, loyo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{5,11} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	14.3663
Weil height (log2 max(n, d))	14.7326
Wilson height (sopfr(nd))	33
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.20211 bits
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165/128, the keenanismic supermajor third, is 385/384 (4.5 cents) sharper than 9/7. It arises in 11-limit scales as the interval between 16/15 and 11/8, and between 16/11 and 15/8.

See also

• 256/165 – its octave complement
• 64/55 – its fifth complement
• Gallery of just intervals