This is sung very often in concerts. It is known to be a difficult raga to perform in owing to its complexity in prayoga (notes phrases and intonation).
Todi in Carnatic music, is different from the rāgam Todi (thaat) of Hindustani music (North Indian classical music). The equivalent of the Hindustani raga Todi in Carnatic music is Subhapanthuvarali (which is the 45th melakartha) .
It is the 2nd melakarta in the 2nd chakra Netra. The mnemonic name is Netra-Sri. The mnemonic phrase is sa ra gi ma pa dha ni .
Its structure is as follows (see swaras in Carnatic music page for details on below notation and terms):
(Suddha Rishabham, Sadharana Gandharam, Suddha Madhyamam, Suddha Dhaivatham, Kaisiki Nishadham)
See List of Janya Ragas for a full list of Todi's janyas.
Taye Yashoda by the great composer Oottukkadu Venkata Kavi is a very well known composition, in the Tamil language. This popular kriti is sung frequently in various concerts. A popular varnam in the Todi raga is Era Napai by Patnam Subramania Iyer, one of the most important composers in the Indian musical tradition.
Other popular compositions are:
Todi's notes when shifted using Graha bedham, yields 5 other major Melakarta rāgams, namely, Kalyani, Sankarabharanam, Natabhairavi, Kharaharapriya and Harikambhoji. For further details and an illustration of Graha bedham of this rāgam refer Related rāgams section in Sankarabharanam page.