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About: Superparticular ratio     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatRationalNumbers, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatSuperparticularIntervalsyago:Abstraction100002137yago:ComplexNumber113729428yago:DefiniteQuantity113576101yago:Measure100033615yago:Number113582013yago:RationalNumber113730469yago:RealNumber113729902yago:TimeInterval115269513yago:WikicatRationalNumbers New Facet based on Instances of this Class

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers. More particularly, the ratio takes the form: where n is a positive integer. Thus: — Throop (2006), Superparticular ratios were written about by Nicomachus in his treatise Introduction to Arithmetic. Although these numbers have applications in modern pure mathematics, the areas of study that most frequently refer to the superparticular ratios by this name are music theory and the history of mathematics.