1. Apollo: Apollo, the god of music, poetry, and arts, was known to play the lyre (a stringed instrument similar to a harp) and was considered the patron god of musicians. He was often depicted holding the lyre and leading the Muses, the goddesses of the arts.
2. Pan: Pan, the god of nature, flocks, and shepherds, was associated with the syrinx, also known as Pan pipes. The syrinx was a wind instrument made from a set of graduated pipes that produced a haunting sound when blown. Pan was often depicted playing the syrinx while watching over his flocks.
3. Hermes: Hermes, the messenger of the gods and a trickster, was known to play the kithara, a lyre-like instrument with a larger soundbox. He was sometimes credited with inventing the kithara and was associated with music, eloquence, and communication.
4. Dionysus: Dionysus, the god of wine, fertility, and revelry, was often accompanied by music during his festivals and celebrations. He was sometimes depicted holding a thyrsus, a staff entwined with ivy or vine, which was often shaken or struck against the ground to produce rhythmic sounds during revelries.
While these are some of the main Greek gods associated with musical instruments, it's important to note that the ancient Greek pantheon included many other deities, and different regions or cults might have had variations in the instruments associated with specific gods.