Well Elrond takes his harp with him to the West..... and since he is carrying it with him I guess it would be an important possession......
I think elves would have played Lutes aswell and wooden flutes....... I think Dwarves with their affinity for metal and being miners would have had a particular fondness for brass - the colliery bands were extremely strong musically....
Gandalf would have been a conductor - hopefully avoiding Lully's fate and galadriel would have been a colaratura soprano .....
Same sings.... In Western Lands and GilGalad was an Elven king....
LOL Legolas a viola player..... all those jokes..... and the "hermaphrodite" of the orchestra ...
Sauron would have been an organist..... some of my best friends are but .........
a touch of megalomania in them all?