52/33

Interval information

Ratio	52/33
Factorization	22 × 3-1 × 11-1 × 13
Monzo	[2 -1 0 0 -1 1⟩
Size in cents	787.2547¢
Names	major minthmic minor sixth, tridecimal minor sixth
Color name	3o1u6, tholu 6th
FJS name	[math]\displaystyle{ \text{m6}^{13}_{11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.7448
Weil height (log2 max(n, d))	11.4009
Wilson height (sopfr(nd))	31
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.22512 bits
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52/33, the major minthmic minor sixth or tridecimal minor sixth, is a 13-limit interval measuring about 787.3 ¢. It is the inverse of the major minthmic major third, 33/26. It is flat of the Pythagorean minor sixth (128/81) by a major minthma (352/351).

See also

• 33/26 – its octave complement
• Gallery of just intervals