The abbot invites Komachi to come with them to the festival, but she declines; then the child dances part of a gagaku (a type of Japanese classical music) dance for her, the Manzairaku.
During the course of their conversation, the abbot realizes her identity and is astonished and delighted. He invites her to come with them to the festival, but she declines. The child dances part of a gagaku dance for her, the Manzairaku. "elegant music") is a type of Japanese classical music. 
