The "genesis" of contemporary classical South Indian music is traced ONLY in Tamil Nadu. The holiest of all holiest places in the entire Universe, ONE AND ONLY, "Thiruvarur" is the birth place of Carnatic Music - from where our CM also came, ironically, though!
Though, many pay tributes to Thiaga Brahmam in Thiruvaiyar - which is the place Thiagabramam attained Moksha.