Our Lady of the Rosary

Today the Universal Church celebrates the feast day of Our Lady of the Rosary. In 1972, the Venerable Servant of God Pope Paul VI wrote an Apostolic Exhortation to all bishops entitled: Marialis Cultus. In it there is a section on the prayer of the Rosary. I reproduce some excerpts from it. You can read the whole exhortation here.

We wish now, venerable Brothers, to dwell for a moment on the renewal of the pious practice which has been called "the compendium of the entire Gospel": the Rosary. To this our predecessors have devoted close attention and care. On many occasions they have recommended its frequent recitation, encouraged its diffusion, explained its nature, recognized its suitability for fostering contemplative prayer-prayer of both praise and petition-and recalled its intrinsic effectiveness for promoting Christian life and apostolic commitment.
Thus, for instance, the Gospel inspiration of the Rosary has appeared more clearly: the Rosary draws from the Gospel the presentation of the mysteries and its main formulas. As it moves from the angel's joyful greeting and the Virgin's pious assent, the Rosary takes its inspiration from the Gospel to suggest the attitude with which the faithful should recite it. In the harmonious succession of Hail Mary's the Rosary puts before us once more a fundamental mystery of the Gospel-the Incarnation of the Word, contemplated at the decisive moment of the Annunciation to Mary. The Rosary is thus a Gospel prayer, as pastors and scholars like to define it, more today perhaps than in the past.
The Rosary of the Blessed Virgin Mary, according to the tradition accepted by our predecessor St. Pius V and authoritatively taught by him, consists of various elements disposed in an organic fashion:
a) Contemplation in communion with Mary, of a series of mysteries of salvation, wisely distributed into three cycles. These mysteries express the joy of the messianic times, the salvific suffering of Christ and the glory of the Risen Lord which fills the Church. This contemplation by its very nature encourages practical reflection and provides stimulating norms for living.
b) The Lord's Prayer, or Our Father, which by reason of its immense value is at the basis of Christian prayer and ennobles that prayer in its various expressions.
c) The litany-like succession of the Hail Mary, which is made up of the angel's greeting to the Virgin (cf. Lk. 1;28), and of Elizabeth's greeting (cf. Lk. 1:42), followed by the ecclesial supplication, Holy Mary. The continued series of Hail Mary's is the special characteristic of the Rosary, and their number, in the full and typical number of one hundred and fifty, presents a certain analogy with the Psalter and is an element that goes back to the very origin of the exercise of piety. But this number, divided, according to a well-tried custom, into decades attached to the individual mysteries, is distributed in the three cycles already mentioned, thus giving rise to the Rosary of fifty Hail Mary's as we know it. This latter has entered into use as the normal measure of the pious exercise and as such has been adopted by popular piety and approved by papal authority, which also enriched it with numerous indulgences.
d) The doxology Glory be to the Father which, in conformity with an orientation common to Christian piety concludes the prayer with the glorifying of God who is one and three, from whom, through whom and in whom all things have their being (cf. Rom. 11:36).
These are the elements of the Rosary. Each has its own particular character which, wisely understood and appreciated, should be reflected in the recitation in order that the Rosary may express all its richness and variety. Thus the recitation will be grave and suppliant during the Lord's Prayer, lyrical and full of praise during the tranquil succession of Hail Mary's, contemplative in the recollected meditation on the mysteries and full of adoration during the doxology. This applies to all the ways in which the Rosary is usually recited: privately, in intimate recollection with the Lord; in community, in the family or in groups of the faithful gathered together to ensure the special presence of the Lord (cf. Mt. 18:20); or publicly, in assemblies to which the ecclesial community is invited.