224/135

Interval information

Ratio

224/135

Factorization

2⁵ × 3^-3 × 5^-1 × 7

Monzo

[5 -3 -1 1⟩

Size in cents

876.6472¢

Names

septimal narrow major sixth,
marvelous major sixth

FJS name

[math]\displaystyle{ \text{d7}^{7}_{5} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

14.8842

Weil height (log₂ max(n, d))

15.6147

Wilson height (sopfr(nd))

31

Open this interval in xen-calc

224/135, the septimal narrow minor sixth, or marvelous minor sixth, is a 7-limit interval that forms the difference between 7/4 and 135/128, and between 16/9 and 15/14. Given that 135/128 is a type of chromatic semitone, this means 224/135 functionally doubles as a type of diminished seventh.

224/135

See also