325/324: Difference between revisions
These expressions say too little. Rework into verbal descriptions. Decompose 25/18 (precisely 36/25) into a stack of two 6/5's. |
+17-limit factorization |
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The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between [[16/13]] and a stack of two [[10/9]]'s, or between [[13/9]] and a stack of two [[6/5]]'s. It can also be expressed as ([[25/24]])/([[27/26]]) and ([[100/99]])/([[144/143]]), among other expressions. | The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between [[16/13]] and a stack of two [[10/9]]'s, or between [[13/9]] and a stack of two [[6/5]]'s. It can also be expressed as ([[25/24]])/([[27/26]]) and ([[100/99]])/([[144/143]]), among other expressions. | ||
Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]]), and ([[351/350]])([[4375/4374]]). | Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]]), and ([[351/350]])([[4375/4374]]). In the 17-limit it additionally factors into ([[595/594]])([[715/714]]). | ||
== Temperaments == | == Temperaments == | ||