Carolingian Renaissance
A current matter of controversy is in as much the "Musica disciplina" belonged to the tradition of the mathematical science music, and in as much it contributed within the Carolingian Renaissance simply as a chant manual called "tonary," which supported the oral transmission of Carolingian reform chant. Music as science had only been revived in the late 8th century by Alcuin, as part of a campaign to revive all of the liberal arts of antiquity, and which was another purpose of the Carolingian Renaissance.