Gajānanayutham is a popular composition in Tōyavēgavāhini, by the maestro Muthuswami Dikshitar, which is sung in a brisk tempo, unlike other compositions set to Chakravakam.
There are a number of popular compositions in Ahir bhairav (Hindustani raga similar to Chakravakam), one of the most well known ones being Pibare Rāmarasam in Sanskrit, by Sadasiva Brahmendra.