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 norm (log2 nd)	13.2441
Weil norm (log2 max(n, d))	13.2587
Wilson norm (sopfr(nd))	33
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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.)

See also

• 99/49 - the same interval but one octave higher
• Gallery of just intervals
• Comma