99/98: Difference between revisions

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'''99/98''', or the '''~~Mothwellsma~~''' (17.~~576~~ [[cent]]s in size), represents the difference between [[9/7]] ~~(septimal supermajor third)~~ and [[14/11]] ~~(undecimal~~ supermajor ~~third)~~, or the difference between two [[7/6]]~~s (septimal~~ subminor thirds) and one [[11/8]] ~~(undecimal~~ semi-augmented fourth).

{{Infobox Interval

| Name = mothwellsma

| Color name = 1orr-2, loruru negative 2nd, Loruru comma

| Comma = yes

}}

'''99/98''', or the '''mothwellsma''', is a [[small comma|small]] [[11-limit]] [[comma]] of 17.6 [[cent]]s in size. It 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 = (7/6)2(99/98) and that 7/6 × 99/98 = [[33/28]], which is the fifth complement of 14/11.

[[~~Category:Small comma~~]]

== Temperaments ==

[[~~Category:Interval ratio~~]]

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)1/2 is befitting of orwell.

[[Category:~~Todo~~:~~expand~~]]

== Etymology ==

This comma's name comes from a contraction of ''mothra'' and ''orwell'', two of the rank-2 temperaments that temper out the comma.

== See also ==

* [[99/49]] – the same interval but one octave higher

* [[Gallery of just intervals]]

[[Category:Mothwellsmic]]

[[Category:Commas named by combining multiple temperament names]]

@@ Line 1: / Line 1: @@
-'''99/98''', or the '''Mothwellsma''' (17.576 [[cent]]s in size), represents the difference between [[9/7]] (septimal supermajor third) and [[14/11]] (undecimal supermajor third), or the difference between two [[7/6]]s (septimal subminor thirds) and one [[11/8]] (undecimal semi-augmented fourth).
+{{Infobox Interval
+| Name = mothwellsma
+| Color name = 1orr-2, loruru negative<br>2nd, Loruru comma
+| Comma = yes
+}}
+'''99/98''', or the '''mothwellsma''', is a [[small comma|small]] [[11-limit]] [[comma]] of 17.6 [[cent]]s in size. It 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 = (7/6)<sup>2</sup>(99/98) and that 7/6 × 99/98 = [[33/28]], which is the fifth complement of 14/11.
-[[Category:Small comma]]
+== Temperaments ==
-[[Category:Interval ratio]]
+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.
-[[Category:Todo:expand]]
+== Etymology ==
+This comma's name comes from a contraction of ''mothra'' and ''orwell'', two of the rank-2 temperaments that temper out the comma.
+== See also ==
+* [[99/49]] – the same interval but one octave higher
+* [[Gallery of just intervals]]
+[[Category:Mothwellsmic]]
+[[Category:Commas named by combining multiple temperament names]]