99/98: Difference between revisions

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Added: "See also": 99/49.
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 99/98
| Ratio = 99/98
| Monzo = -1 2 0 -2 1
| Monzo = -1 2 0 -2 1
| Cents = 17.57613
| Cents = 17.57613
| Name = Mothwellsma
| Name = mothwellsma
| Color name = 1orr-2, loruru comma
| Color name = 1orr-2, loruru comma
| FJS name = m-2<sup>11</sup><sub>49</sub>  
| FJS name = m-2<sup>11</sup><sub>49</sub>  
| 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 (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. 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.)
(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 ==
 
* [[99/49]] the same interval but one octave higher
* [[99/49]] - the same interval but one octave higher
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Comma]]
* [[Small comma]]


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Interval ratio]]
[[Category:Superparticular]]
[[Category:Superparticular]]
 
[[Category:Mothwellsmic]]
[[Category:Todo:expand]]