At some point in the 13th-century the High Altar of this basilica was given a Cosmati front, but following the Council of Rome in 1725, yet another remodelling was thought to be necessary to "stress the importance of the main altar". As such, a new baldachino in the then-current Baroque style was produced, albeit utilising four columns of red porphery from the medieval baldachino. And, to match this, a new altar was put in place to a design by Francesco Ferrari. The medieval altar was thus relegated to the newly-enlarged crypt, and a fresco from the 1700s was painted above it.
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Considering the history of this basilica, and the changing of its altars, it is instructive to see how each Council stirs up in its wake such considerable structural and decorative changes, even to a venerable church such as Sta Prassede. This fact, I think, may help put into perspective the changes we have seen to our beloved churches since the 1960s, and the restoration that is, thankfully, now occurring in some places. But I suppose it's too much to hope that the medieval altar of St Prassede will be restored as the new High Altar!