The English mathematician and philologist Alexander John Ellis (1814-1890) proposed the use of *cents* for measuring musical intervals.

We will explain the mathematical basis of the concept, discuss the subject without requiring advanced mathematical knowledge, and emphasise practical application.

How do we measure musical intervals? The mathematical ratio of the intervals Comparing intervals using the mathematical ratio Comparing intervals using cents Cents, powers and logarithms From logarithms to cents How do we calculate the cents that separate two notes? How do we calculate the frequency of a second note according to the cents that separate it? Comparisons using cents Reference and calculators

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