In the fourth verse, there's the line "Who died and rose on high," sung to this musical phrase from the tune "Diademata":
"High" is sung to the highest note in the phrase (and there's a rather large interval [a sixth] between it and the preceding note, which emphasizes this), musically giving a sense of its meaning.
The week after I noticed this, "Crown Him with Many Crowns" was one of the distribution hymns in church, and I noticed a second thing. In the third verse, the line "But downward bend their wond'ring eyes" (describing the angels who cannot "fully bear that sight" of Jesus' wounds) is sung to a (generally) descending melody, illustrating that "downward bend[ing]" musically:
