Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:2/4
K:D
['dAFD d2 f2', 'e3 e/f/ eccc dBBB cA A/B/c/A/ B^G']  
X:1
L:1/8
M:2/4
K:D
 A | dAFD | d2 f2 | edcB | cA A/B/c/A/ | dAFD | d2 f2 | fe/f/ gf | e3 :: e/f/ | eccc | dBBB | 
 cA A/B/c/A/ | B^G E2 | ABcd | efge | fe/d/ e/g/e/c/ | d3 :|  