Auden actually wrote "Funeral Blues"—or at least, the more widely-known second edition, from 1938—to be sung to music. As such, it is most certainly a lyrical poem, not least because it is actually the lyrics to a piece of musical accompaniment by British composer Benjamin Britten. Accordingly, the elegy is written in quatrains, or "verses," and in rhyming couplets—both features suited to song.
Apart from the rhyme scheme, there are various other sound devices used in this poem to create internal cohesion. For example, Auden uses alliteration on a number of occasions ("working week," "nothing now," "love would last"). He also incorporates words which allude to external sounds, such as "clocks," "telephone," "barking," "pianos," and "muffled drum." When the piece is performed, these words offer cues as to what sound devices should accompany the lyrics—the poem can be introduced, for example, with the regular ticking of a clock which cuts out abruptly on the word "stop." Likewise, the phrase "muffled drum" has a rhythm and dull sound (emphasized by the assonance on "u") which can easily go alongside, and replicate, the muffled drumming it describes.