A couple months ago, I transcribed "Now All the Vault of Heaven Resounds," and while doing so I found some connections between the text and "Lasst uns erfreuen," the tune to which the hymn is sung.
The second phrase of "Lasst uns erfreuen" ascends:
In verse one, the line there is "In praise of love that still abounds," and in verse three "Set heart and will on things above." In the first verse, the ascent in the melody represents the "abound[ing]" of love, and in the third verse, it points upward to the "things above."