224/195

This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information

Ratio

224/195

Factorization

2⁵ × 3^-1 × 5^-1 × 7 × 13^-1

Monzo

[5 -1 -1 1 0 -1⟩

Size in cents

240.0295¢

Names

quasi-tempered 1/5-octave,
5EDO-esque tone

Color name

3uzg3, thuzogu 3rd

FJS name

[math]\displaystyle{ \text{m3}^{7}_{5,13} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

15.4147

Weil height (log₂ max(n, d))

15.6147

Wilson height (sopfr(nd))

38

Open this interval in xen-calc

224/195 is a 13-limit interval which is very accurately approximated by the step interval of 5EDO (quasi-tempered 1/5-octave). It is 225/224 flat of 15/13, and can be obtained by stacking 14/13 and 16/15.

224/195

See also