Step 1: Understanding the Concept:
The question asks for the traditional Sanskrit term for the classical, codified, and pan-Indian tradition of dance, as distinct from regional or folk styles.
Step 2: Detailed Explanation:
Indian performing arts, including music and dance, are broadly classified into two categories:
1. Mārgi: This term refers to the "path" that is sought or followed. It denotes the classical, formal, and scripturally-codified tradition. It is considered timeless, universal (within the Indian cultural sphere), and of divine origin, with its principles laid down in texts like the Nāṭyaśāstra. It is the standard, formal tradition.
2. Deśi: This term refers to that which is "of the region" (\textit{deśa}). It encompasses the numerous folk, regional, and evolving styles of dance and music that are specific to particular communities and localities. It is characterized by improvisation and local flavor rather than strict adherence to ancient texts.
The other options are incorrect terms for a tradition:
3. Mātrika: Refers to rhythmic patterns or metrical units in music.
4. Karaņa: Is a technical term for a synchronized unit of movement involving hands, feet, and body, as defined in the Nāṭyaśāstra.
Step 3: Final Answer:
The standard, formal tradition of dance is known as Mārgi. Therefore, option (1) is correct.