99/98: Difference between revisions

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-'''99/98''', or the '''mothwellsma''' (17.6 [[cent]]s 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)<sup>1/2</sup> – is befitting of orwell.
+'''99/98''', or the '''mothwellsma''' (17.6 [[cent]]s 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. 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.
-(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 ==
+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)<sup>1/2</sup> is befitting of orwell.
 == See also ==