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:E
['=D/>F/ A']  
X:1
L:1/4
M:3/4
K:E
 =G/B/ B A | =D/>F/ A =c | =c B =G | =D A E | D/F/ A =G | E/=G/ A F | A B =G | =D/>F/ A E |]  