44/35

Interval information

Ratio	44/35
Factorization	22 × 5-1 × 7-1 × 11
Monzo	[2 0 -1 -1 1⟩
Size in cents	396.1783¢
Name	valinorsmic major third
FJS name	[math]\displaystyle{ \text{m3}^{11}_{5,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.5887
Weil height (log2 max(n, d))	10.9189
Wilson height (sopfr(nd))	27
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.10518 bits
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44/35, the valinorsmic major third, is an 11-limit interval that is close to a 12edo major third, and which differs from 5/4 by 176/175, the valinorsma. It is the product of 11/10 and 8/7, intervals that are commonly used as stand-ins for the cube roots of 4/3 and 3/2 respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds.