Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
M:3/8
K:C
['e2g2f2 e4 ed', 'ed cdedef dec2de c2B2c2 d4 ed cde2d2']  
X:1
L:1/16
M:3/8
K:C
 e2g2f2 | e4 ed | cdedef | dedec2 | e2g2f2 | e4 ed |1 cdedef | g6 :|2 cde2d2 | c4 de |: c2B2c2 | 
 d4 ed | cdedef | dec2de | c2B2c2 | d4 ed | cde2d2 |1 c4 de :|2 c6 ||  