Final answer:
The viewpoints of virtuosic piano music can be classified as Classical and Romantic. The Classical period emphasized adherence to rules and structures, while the Romantic period allowed for more emotion and experimentation.
Step-by-step explanation:
Two different viewpoints of virtuosic piano music are the Classical and Romantic perspectives. In the Classical period, composers focused on adhering to established rules and structures, creating music that had an easily recognizable form. For example, composers like Mozart and Haydn followed strict guidelines in their compositions. On the other hand, the Romantic period allowed for more emotional expression and experimentation. Composers like Chopin and Liszt pushed the boundaries of what was considered acceptable in their time, adding virtuosic elements and conveying intense emotions in their music.