It will not do to see the Psalter as merely predictive of Christ or as messianic in a few notable cases, such as Psalm 2 or Psalm 22. Far different is the true situation. In brief, Jesus Christ is the tuning fork by which we pitch the Psalms correctly. We will find Him in them in various ways, not just in a few psalms, but in all the psalms. The believer’s union with Christ, the true David, is the key to unlocking the treasures of the Psalter. It is also the reason that these songs have a special place in the New Testament church and are so frequently quoted.
“Psalm Singing and Scripture” by Rowland S. Ward in Sing a New Song: Recovering Psalm Singing for the Twenty-First Century, Loc. 1821.