In the Dominican Breviary, the ferial office in Epiphany season is similar to that of the Roman Breviary, with slight differences. The hymn at Lauds is different, as are some of the versicles.
The ferial days in Epiphany-tide are IV Class, so when a III Class feast occurs on the calendar, no commemoration is made of the ferial office.
January is a nice month in the Dominican sanctorale, even in the 1962 calendar. The month starts off with St. Zedislavae Berkianae, Mat., O.P. on January 3. Next up is St. Francis de Capillis and St. Peter Sanz and Companions on January 15. Traditionally, January 15 was the feast of Bl. Francis de Capillis. However, when St. Peter Sanz and his companions were canonized in 2000, being martyrs of China they were grouped together with St. Francis, who is considered the protomartyr of China. Next comes St. Margaret of Hungary on January 18, one of the numerous saints of the Hungarian nobility, and a personal favorite of mine. Finally, on January 23, we have the feast of St. Raymond of Pennafort, patron saint of canon lawyers.