Here is my basic understanding of Indian music: The northern and southern parts have their own styles but with overlaps. What's amazing is that Indian classical music has no key. There is no absolute sense of middle C or whatever. It is relative to the tuning of the drone. I don't have a strong background in music, but this seems to get rid of the complexity of the notation system in the west with a much more fluid a…
I have recently started tabla, so I can perhaps answer correctly. Whenever you play a piece on a melodic instrument, like sitar, it has a cyclic nature, where after X notes you come back to the same "sum" note.
The tabla player matches this cyclic nature. X is commonly 16, so then the tabla player will play in "teen taal". This is any percussion of 16 beats (or 32/64/128 beats) that obey a very particular structure. For teen taal the structure being that notes 9-12 are played without the left tabla (no bass).