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:Emin
['c2 A ABA', 'g3 e3']  
X:1
L:1/8
M:6/8
K:Emin
 c2 A ABA | cde ecA | c2 A ABA | GAB dBG | c2 A ABA | cde ecA | c2 A ABA | GAB dBG || g3 e3 | 
 gag ecA | g3 e3 | GAB dBG | g3 e3 | cdc ecA | g3 e3 | GAB dBG ||  