Question:
May I continue my music lessons during the year of aveilus for my parent?
Answer:
The poskim permit a person who teaches music as a profession to continue when he is an avel. So if you are learning for a valid reason you may continue.
Sources:
Pri Megodim 551:10 (quoted by the Biur Halacha there), Mishmeres Shalom 20:19, Gesher HaChaim 21:8-3