Pertaining to or consisting of an alleluia. [from 18th c.]
2004, Gregory W Woolfenden, Daily Liturgical Prayer, p. 231:
In de Officiis, Isidore described laudes as an alleluiatic chant.
1984, Giulio Cattin, Music of the Middle Ages, p. 10:
Evidence of the alleluiatic psalm is found as early as Tertullian (d. 220) and in the contemporary Apostolic Tradition of Hippolytus; as we have seen, it consisted of an acclamation (alleluia) after each verse chanted by a soloist.