99/98

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Interval information
Ratio 99/98
Factorization 2-1 × 32 × 7-2 × 11
Monzo [-1 2 0 -2 1
Size in cents 17.576131¢
Name mothwellsma
Color name 1orr-2, loruru negative
2nd, Loruru comma
FJS name [math]\text{m}{-2}^{11}_{7,7}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 13.2441
Weil height (log2 max(n, d)) 13.2587
Wilson height (sopfr (nd)) 33
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.40575 bits
Comma size small
open this interval in xen-calc

99/98, or the mothwellsma (17.6 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