99/98

Interval information

Ratio

99/98

Factorization

2^-1 × 3² × 7^-2 × 11

Monzo

[-1 2 0 -2 1⟩

Size in cents

17.57613¢

Name

Mothwellsma

Color name

1orr-2, loruru comma

FJS name

[math]\displaystyle{ \text{m}{-2}^{11}_{49} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

13.2441

Weil height (log₂ max(n, d))

13.2587

Wilson height (sopfr(nd))

33

Open this interval in xen-calc

99/98, or the Mothwellsma (17.576 cents in size), represents the difference between the 9/7 and 14/11 supermajor thirds, or the difference between two 7/6 subminor thirds and one 11/8 semi-augmented fourth. If tempered, it leads to the Mothwellsmic triad, and is related to 11-limit Orwell, as a generator between 7/6 and (11/8)^1/2 - is befitting of Orwell.

(Note that (11/8)^1/2 = 7/6 * (99/98)^1/2 and that 7/6 * 99/98 = 33/28, which is the fifth complement of 14/11.)

99/98

See also