99/98: Difference between revisions
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Added: "See also": 99/49. |
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{{Infobox Interval | {{Infobox Interval | ||
| 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 = | | 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 ''' | '''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 | (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]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[ | * [[Small comma]] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Mothwellsmic]] | |||
[[Category: | |||
Revision as of 00:00, 23 January 2022
| Interval information |
reduced
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
- 99/49 – the same interval but one octave higher
- Gallery of just intervals
- Small comma