For those doing the Office of Readings as a Vigil office (that is, late the previous evening, during the night, or very early in the morning), the LOTH offers the old “third nocturne” of three OT canticles in an appendix.
Buried somewhere in the monastic version of the General Instructions there’s also a recommendation for religious (monks, etc) that use the 4-week LOTH instead of a monastic version (it’s permitted for monks with an extensive external apostolate) to do the Office of Readings on a 2-week cycle. I’ve done that on occasion when using the LOTH instead of my community’s monastic LOTH. That way you can have a more traditional Vigil of 2 nocturnes on ordinary days and 3 on Sundays, feasts and solemnities. The way I do it is on weeks 1 and 2, use the psalms from week 1 for the first nocturne and from week 2 for the second; ditto for weeks 3 and 4 (if you try weeks 1 and 3 and weeks 2 and 4 together, you end up with two nocturnes with Psalm 43 for the first and psalm 43 again for the second on Thursdays of weeks 2 and 4).
The structure would then be:
“Lord open my lips…”
Invitatory antiphon + psalm
Hymn
First nocturne:
Weeks 1 and 2, psalms from week 1; weeks 3 and 4, psalms from week 3
Biblical reading
Responsory
Second nocturne:
Weeks 1 and 2, psalms from week 2; weeks 3 and 4, psalms from week 4
Patristic reading
Responsory
*or optionally during ordinary days from the 1st Monday after the Octave of Easter until November 15th
Short reading & responsory (from the Rule of St. Benedict, thus only applicable to Benedictines or Cistercians!)*
Third nocturne (Sundays, Feasts and Solemnities)
OT Canticles from the appendix (appropriate to the season, feast or solemnity)
Gospel reading (from the suggested list or of the Sunday, feast or solemnity)
Te Deum
All days
Collect & conclusion
This is just another little hidden gem of the LOTH that can serve to make the LOTH a lot more traditional than many realize at first glance.