The given text is an excerpt from the Odyssey, an epic poem written by Homer. The style of the text, characterized by its use of elevated language, mythological references, and the presence of divine beings, aligns with the characteristics of classical literature. The classical period refers to the time in ancient Greece, roughly from the 5th century BC to the 3rd century AD, when classical works of literature, philosophy, and art were produced. Therefore, based on the style and content of the text, it can be inferred that it belongs to the classical period.