m assuming you know more about this client than what you've mentioned here.
i often get clients who's business' i don't understand... i can't create a visual representation of something i don't get.
my questions would be...
do they ACTUALLY TEACH music? the name implies they do but my impression is that they just preform to music.... but that would be a silly thing to have to mention because, how else could they teach dance? if they do in fact teach music, then the musical element should be as prominent as the two figures and not an after thought... and just one element representing each. find a way to creatively use just one musical note.
if they don't teach music. their business model is silly, as if they just liked the name Triple Arts and threw in the music factor to try and make the name work. if that's the case, it's not likely that you'll get them to change their name. i'm thinking that must be why you have the music notes looking like chicken scratch sprinkled in there.
kinda anxious to hear what their business is