33/26

Interval information

Ratio	33/26
Factorization	2-1 × 3 × 11 × 13-1
Monzo	[-1 1 0 0 1 -1⟩
Size in cents	412.7453¢
Names	major minthmic major third, tridecimal major third
Color name	3u1o3, thulo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{11}_{13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.74483
Weil height (log2 max(n, d))	10.0888
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25711 bits
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33/26, the major minthmic major third or tridecimal major third, is a 13-limit interval measuring about 412.7 ¢. It is the fifth complement of the tridecimal minor third, 13/11. It is sharp of the Pythagorean major third (81/64) by a major minthma (352/351).

See also

• 52/33 – its octave complement
• 13/11 – its fifth complement
• Gallery of just intervals