Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:3/4
K:C
['E3 D']  
X:1
L:1/8
M:3/4
K:C
 G>e cE GC |"G7" B,A GB F2 |"G7" B,A GB FB, |1"C" CA Gc E2 :|2"C" C6 |][K:G]"G" (B,D) E3 D | 
"D7" Dc Dc F2 | (CD) E3 D |"G" DB DB G2 | B,D E3 D |"D7" Dc Dc F2 | (CD) cD FB |"G" G6 |]  