99/98: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Godtone (talk | contribs)
m added a little more context for this interval when interpreted as a comma to be tempered
Godtone (talk | contribs)
there was an error, should be corrected now
Line 9: Line 9:
| Sound =  
| Sound =  
}}
}}
'''99/98''', or the '''Mothwellsma''' (17.576 [[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 14/11 - ''but closer to 7/6'' - is befitting of Orwell.
'''99/98''', or the '''Mothwellsma''' (17.576 [[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.
 
(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.)


== See also ==
== See also ==

Revision as of 16:50, 16 February 2021

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 height (log2 nd) 13.2441
Weil height (log2 max(n, d)) 13.2587
Wilson height (sopfr(nd)) 33
Open this interval in xen-calc

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