135/112

Interval information

Ratio	135/112
Factorization	2-4 × 33 × 5 × 7-1
Monzo	[-4 3 1 -1⟩
Size in cents	323.3528¢
Names	septimal wide minor third, marvelous minor third
Color name	ry2, ruyo 2nd
FJS name	[math]\displaystyle{ \text{A2}^{5}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	13.8842
Weil height (log2 max(n, d))	14.1536
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.14223 bits
Open this interval in xen-calc

135/112, the septimal wide minor third, or marvelous minor third, is a 7-limit interval which has the distinction of being almost half of a 16/11 minor fifth- in fact, a stack of two 135/112 differs from 16/11 by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11, to which one can then add 135/77 as a seventh.

See also

• 224/135 -- its octave complement
• 56/45 -- its fifth complement
• Gallery of just intervals