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

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

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.

135/112

See also