Superparticular ratio

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is a ratio of the form

Thus:

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.