If the priest and ministers have some way to go in the church before reaching the altar, there is no reason why several Verses of the Introit Psalm should not be sung after the Antiphon and Verse. In that case the Antiphon may be repeated after every Verse or two Verses. When the priest reaches the altar, the Psalm is if necessary interrupted at the end of a Verse, Gloria Patri is sung, and finally the Antiphon.
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