Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:6/8
K:C
['', 'd e2 g fed']  
X:1
L:1/8
M:6/8
K:C
 c2 d |: e2 g fed | g2 e c2 d | e2 g fed | c3 c2 d | e2 g fed | g2 e c2 d | e2 g fed | c3 c3 | 
 d3 g3 | e2 c cBc | d2 d fed | c3 cBc | d3 g3 | e2 c cBc | d2 d fed |33 c3 c2 d :|  