The ragamath operations help in:
Creating themed sequences in different ways. Examples: a set of shifts all on the same rAgam; a cascade of successive operations - (e.g., shift rAgam 1 to yield rAgam 2; swap notes in rAgam 2 to yield rAgam 3, and so on.)
The melody of the music will no doubt attract all listeners. In addition, technical listeners will also appreciate the mathematical intricacies.