From holy Easter until Pentecost let the Alleluia be said without intermission, both with the psalms and with the responsories; but from Pentecost until the beginning of Lent let it be said every night at the nocturns with the six latter psalms only. However, on all Sundays outside of Lent, let the canticles, Lauds, Prime, Terce, Sext, and None be said with Alleluia. Let Vespers, however, be said with the antiphon; but let the responsories never be said with Alleluia, except from Easter to Pentecost.
Another outward aspect of the role the Psalms play in spiritual formation is a two-edged sword, quite honestly. This aspect is often a source of tension in traditions that give a prominent place to the Psalms in the Sunday liturgy. The aspect to which I refer is the role of the Psalms in shaping our language, especially our language about God.
On the one edge, wonderful, ancient expressions of praise and joy, such as "Alleluia!" make their way into our vocabulary via the Psalms. I'm grateful that our Father Benedict sees fit to keep the Alleluias rolling through the year (with the notable exception of Lent, of course). We also receive beautiful words like hesed, which is translated as "loving-kindness" or "steadfast love" from exposure to the Psalms, words that attest to God's grace and mercy and faithfulness towards humankind and all Creation. Some Psalms bring us among high mountains and great forests and the wide oceans and birds and deer and sea creatures, opening our prayer vocabulary to the wonders of Nature.