1729/1728

Interval information

Ratio

1729/1728

Factorization

2^-6 × 3^-3 × 7 × 13 × 19

Monzo

[-6 -3 0 1 0 1 0 1⟩

Size in cents

1.001582¢

Names

massma,
Ramanujan's comma

FJS name

[math]\displaystyle{ \text{d2}^{7,13,19} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

21.5106

Weil height (log₂ max(n, d))

21.5114

Wilson height (sopfr(nd))

60

Open this interval in xen-calc

1729/1728, the massma, is a 19-limit (more accurately, 2.3.7.13.19 subgroup) superparticular interval and an unnoticeable comma.

Both the numerator and denominator of this interval are famous in mathematics. 1728, being 12 to the 3rd power, is also known as mass. 1729 is known for being Ramanujan's number and the first number that can be expressed as a sum of more than 1 integer cubes.

Remarkably, this comma is very close to one cent.

1729/1728

See also