Rusty here: the three greatest musicians were ... um... Maglor was it (? the one who went mad & sang by the seashore ever afterwards), and Daeron who played the flute, and likewise Tinfang Gelion (Flautist.) Seems plain that TOlkien favored flutes and vocals.
Have you checked out Aiwendil's essay on music in MIddle Earth? It is the best treatment I've seen yet.
Aiwendil's essay