99/98: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 99/98
| Monzo = -1 2 0 -2 1
| 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>
| Comma = yes
| Sound =  
}}
}}
'''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. 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.
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* [[Small comma]]
* [[Small comma]]


[[Category:11-limit]]
[[Category:Small commas]]
[[Category:Superparticular]]
[[Category:Mothwellsmic]]
[[Category:Mothwellsmic]]

Revision as of 17:20, 25 October 2022

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}_{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
Comma size small
Open this interval in xen-calc

99/98, or the mothwellsma (17.6 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