Today , it is a famous Russian composition school whose graduates have included great composers such as Pyotr Tchaikovsky , Sergei Prokofiev and Dmitri Shostakovich . Today , it is a renowned Russian composition school whose graduates have included such notable composers as Pyotr Tchaikovsky , Sergei Prokofiev , Dmitri Shostakovich , Artur Kapp , and Rudolf Tobias .