In this paper, we introduce Chaosynth, an innovative sound synthesis system that employs a granular synthesis method coupled with cellular automata modelling. The system is capable of producing sounds that cannot be realized with physical acoustic instruments and yet the results sound pleasing and musical. After a short introduction to granular synthesis, we demonstrate how we employed cellular automata to control the parameters of the synthesizer and justify the reasons for doing so. Next, we propose an alternative taxonomy for Chaosynth's sounds. The paper is illustrated with auditory examples and the results are backed up by a prize-winning piece of electroacoustic music composed using Chaosynth sounds.