Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/4
M:3/4
K:D
['', 'F F D', 'F D']  
X:1
L:1/4
M:3/4
K:D
 D/E/ |: F F D | G2 A | F F D | E D D/E/ | F F D | E F G | E D D |1 D2 D/E/ :|2 D2 A/B/ || 
 =c2 B/A/ | B2 A/G/ | A A G | F D A/B/ | =c2 B/A/ | B2 A/G/ | A d c | d2 A/B/ | =c2 B/A/ | B d B | 
 A A G | F D D/E/ | F F D | E F G | E D D | D2 ||  