351/350: Difference between revisions

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The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-eleven [[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]].  
The '''ratwolfsma''', '''351/350''', is a [[13-limit]] no-eleven [[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]].  


In terms of commas, it is [[4375/4374]] small of [[325/324]], and it factors into ([[676/675]])([[729/728]]), ([[540/539]])([[1001/1000]]), ([[441/440]])([[1716/1715]]), or ([[364/363]])([[9801/9800]]).  
In terms of commas, it often arises as the following differences: ([[78/77]])/([[100/99]]), ([[81/80]])([[105/104]]), ([[126/125]])([[196/195]]), ([[225/224]])/([[625/624]]), and ([[325/324]])([[4375/4374]]). It factors into ([[676/675]])([[729/728]]), ([[540/539]])([[1001/1000]]), ([[441/440]])([[1716/1715]]), or ([[364/363]])([[9801/9800]]).  


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