99/98
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| 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, is a small 11-limit comma of 17.6 cents in size. It 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. 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.
Temperaments
Tempering out this comma alone in the 11-limit leads to the mothwellsmic temperament (→ Catalog of rank-4 temperaments #Mothwellsmic (99/98)) and enables mothwellsmic chords. It is related to 11-limit orwell, as a generator between 7/6 and (11/8)1/2 is befitting of orwell.
See also
- 99/49 – the same interval but one octave higher
- Gallery of just intervals