Step 1: Understanding the Concept:
The question asks about the number of occurrences of "Sam" within a single cycle of any given tala.
Step 2: Detailed Explanation:
'Sam' is a fundamental concept in the tala systems of both Hindustani and Carnatic music. It refers specifically to the first beat of the rhythmic cycle. It is the most emphasized beat and serves as the point of resolution and convergence for both the melodic and rhythmic improvisations. By its very definition as the first beat, there can only be one Sam in each cycle (avartana) of a tala.
Step 3: Final Answer:
"Sam" comes only once in a tala cycle.