|Abstract||The classical music traditions of the Indian subcontinent, Hindustani and Carnatic, offer an excellent ground on which to test the limitations of current music information research approaches. At the same time, studies based on these music
traditions can shed light on how to solve new and complex music modeling problems. Both traditions have very distinct
characteristics, specially compared with western ones: they have developed unique instruments, musical forms, performance practices, social uses and context. In this article, we focus on the Carnatic music tradition of south India, especially on its melodic characteristics. We overview the theoretical aspects that are relevant for music information
research and discuss the scarce computational approaches developed so far. We put emphasis on the limitations of the
current methodologies and we present open issues that have not yet been addressed and that we believe are important to
be worked on.