You’ve got it the wrong way round. Between each ten Hail Marys an Our Father is said. The Rosary is essentially a devotion to Mary, honoring her whom God Himself so honored. And it honors her particularly in her relation to Christ, whose life is the subject of the meditations. The Our Father abstracts from the incarnation of Christ; the Hail Mary is full of reverence to Our Lord’s birth into this world for us.
Radio Replies Volume 1 by Rev. Dr. Leslie Rumble MSC and Rev. Charles Mortimer Carty
