Pray the traditional Divine Office of the Roman Rite according to various promulgations, including the monastic usage of the Benedictines, here.
Watch the daily celebration of Vespers according to the Roman Rite broadcast live here at 5pm EST.
To listen daily (and even LIVE) to the hours of Lauds, Prime, Sext, None, Vespers, and Compline sung in Latin according to the Breviarium Monasticum by the Benedictine Monks of Le Barroux in France go here.
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Pray the Byzantine Horologion for free here.
Assist LIVE with Byzantine Vespers every Saturday evening (and the eve of major feast days) here.
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Buy the Latin-English edition of the Roman Office with the rubrics of 1962 and the Gallican Psalter here.
Buy the Latin-only edition of the 1962 Roman Office Diurnale here.
Buy the Latin-English edition from 1963 of the Monastic Diurnale here.
And you can buy the Latin-English edition of the Little Office promulgated in 1962 here.
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Great books to read on the Divine Office:
For free:
The Divine Office – Explanation of Psalms and Canticles, by Saint Alphonsus Ligouri
The Divine Office – A Study of the Roman Breviary, by Rev. E. J. Quigley
For purchase:
The Divine Office: How to Say It Devoutly, by Father Paul O’Sullivan, O.P.
Autobiography of an Old Breviary, by Rev. Herman J. Heuser, D.D.
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