Create a formula for calculating compounds

A salary offer for a mathematician. It is necessary to create a formula for calculating the connections of two or more points moving in a circle with constant known periods / speeds. For example, it is known that points A, B, C, D move in one direction along the same circle. Point A has a period of 1 revolution per hour, point B 2 revolution per hour, point C has 3 revolutions per hour, point D has 4 revolutions per hour, and so on.
At the moment, the customer knows two different formulas that count the connections for two points, for three or more points there is no working formula.