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:Ador
['e z dB', 'ea a2']  
X:1
L:1/8
M:4/4
K:Ador
 eABA e z dB | dGBG dGBd | eABA e z dB | GBdB BA A2 | eA A2 e z dB | dGBG dGBd | eA A2 e z dB | 
 GBdB BA A2 |: ea a2 b z ab | g2 dB GA(3Bcd | ea a2 bgab | gedB BA A2 :|  