351/350: Difference between revisions

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The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-11 [[comma]] measuring about 4.9 cents. It is the difference between [[28/27]] and [[26/25]], between [[81/70]] and [[15/13]], and between [[35/27]] and [[13/10]]~~. Tempering it out leads to the rank-five ratwolf temperament~~.

The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-11 [[comma]] measuring about 4.9 cents. It is the difference between [[28/27]] and [[26/25]], between [[81/70]] and [[15/13]], and between [[35/27]] and [[13/10]].

It is [[9801/9800]] ~~larger than~~ [[364/363]], and [[4375/4374]] ~~smaller than~~ [[325/324]].

In terms of commas, it is [[9801/9800]] large of [[364/363]], and [[4375/4374]] small of [[325/324]], and it factors into ([[676/675]])([[729/728]]).

351/350 and [[352/351]], the minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[chalmersia|123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.

Tempering it out leads to the rank-five ratwolf temperament, enabling the [[ratwolf triad]].

== See also ==

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-The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-11 [[comma]] measuring about 4.9 cents. It is the difference between [[28/27]] and [[26/25]], between [[81/70]] and [[15/13]], and between [[35/27]] and [[13/10]]. Tempering it out leads to the rank-five ratwolf temperament.
+The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-11 [[comma]] measuring about 4.9 cents. It is the difference between [[28/27]] and [[26/25]], between [[81/70]] and [[15/13]], and between [[35/27]] and [[13/10]].
-It is [[9801/9800]] larger than [[364/363]], and [[4375/4374]] smaller than [[325/324]].
+In terms of commas, it is [[9801/9800]] large of [[364/363]], and [[4375/4374]] small of [[325/324]], and it factors into ([[676/675]])([[729/728]]).
 /350 and [[352/351]], the minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[chalmersia|123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.
+Tempering it out leads to the rank-five ratwolf temperament, enabling the [[ratwolf triad]].
 == See also ==