Alert Reader Sam responds to the (non-musical) question, "Why is Christ the King the final Sunday in October in the 1962 calendar?" Straight from the horse's mouth, he points me to Pius XI's Quas Primas
establishing the feast:
We have commanded its observance on a Sunday in order that not only the clergy may perform their duty by saying Mass and reciting the Office, but that the laity too, free from their daily tasks, may in a spirit of holy joy give ample testimony of their obedience and subjection to Christ. The last Sunday of October seemed the most convenient of all for this purpose, because it is at the end of the liturgical year, and thus the feast of the Kingship of Christ sets the crowning glory upon the mysteries of the life of Christ already commemorated during the year, and, before celebrating the triumph of all the Saints, we proclaim and extol the glory of him who triumphs in all the Saints and in all the Elect.
Now you know!