Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:4/4
K:C
['', 'c3 c cGce d2', 'cFAc GdBG dGBd']  
X:1
L:1/8
M:4/4
K:C
 (3GAB |: c3 c cGce | d2 (3BdB GBdf | edce dcBd | cBcA GcEG | c3 c cGce | d2 Bd GBdf | edce dcBd |1 
 cBcd c2 (3GAB :|2 cBcd (3cec GF |: EcGE cGEG | FcAF cFAc | GdBG dGBd | cedc BAGF | EcGE cGEG | 
 FcAF cFAc | GdBG dGBd |1 cBcd (3cec GF :|2 cBcd c2 (3GAB ||  