Final answer:
Classical Japan utilized two primary writing systems, Katakana and Hiragana, which emerged to better represent Japanese words and sounds alongside the traditional use of Chinese characters.
Step-by-step explanation:
The two writing systems that were used in classical Japan are Katakana and Hiragana. Katakana is a simplified script derived from Chinese characters, while Hiragana is a more fluid and cursive script that was unique to Japan.
These two scripts were part of a broader development of the Japanese writing system, which originally used Chinese characters before evolving to include kana to represent native Japanese words and sounds more effectively.
The development of these scripts occurred during a time of cultural growth, particularly within the realm of poetry and literature, and were notably used by the women of the court, who were also skilled in the visual and performing arts.