99/98: Difference between revisions
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'''99/98''', or the '''mothwellsma''', is a [[small comma|small]] [[11-limit]] [[comma]] of 17.6 [[cent]]s 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)<sup>1/2</sup> = (7/6)(99/98)<sup>1/2</sup> and that 7/6 | '''99/98''', or the '''mothwellsma''', is a [[small comma|small]] [[11-limit]] [[comma]] of 17.6 [[cent]]s 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)<sup>1/2</sup> = (7/6)(99/98)<sup>1/2</sup> and that 7/6 × 99/98 = [[33/28]], which is the fifth complement of 14/11. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 20:11, 27 January 2025
| Interval information |
2nd, Loruru comma
reduced
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