The early music for this hymn is one of the more haunting tunes in the chant repertoire. I have had trouble finding a performance of it (as opposed to Aquinas' version) online, but
this version for organ will give you a good idea nonetheless. The "Sarum" means it is from the rite as performed in Salisbury. The hymn is often performed in a truncated version, "Crux fidelis" (the last three stanzas). The first tune is audible
in this performance.