Step 1: Concept Identification: The query seeks the specific Sanskrit term for the established, formalized, and pan-Indian dance tradition, differentiating it from local or folk forms.
Step 2: Detailed Elaboration: Indian performing arts, including dance and music, are categorized as follows:
1. Mārgi: Translates to "path" or "way." This designation pertains to the classical, formal, and scripturally-defined tradition. It is considered eternal, universally applicable (within the Indian cultural context), and divinely originated, with principles outlined in texts such as the Nāṭyaśāstra. It represents the standard, formal practice.
2. Deśi: Signifies "of the region" (\textit{deśa}). This category encompasses the diverse folk, regional, and evolving dance and music styles unique to specific communities and locales. It is characterized by improvisation and local flavor, rather than strict adherence to ancient texts.
The alternative options are not applicable to a tradition:
3. Mātrika: Relates to rhythmic compositions or metrical units in music.
4. Karaņa: Is a technical term for a coordinated movement unit incorporating hands, feet, and the body, as defined in the Nāṭyaśāstra.
Step 3: Conclusion: The standard, formal dance tradition is identified as Mārgi. Consequently, option (1) is accurate.