Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:1/8=140
M:2/2
K:G
['B>A G3 A GABc dBge dBAG cBce', 'cBcd efge']  
X:1
L:1/8
Q:1/8=140
M:2/2
K:G
 B>A | G3 A GABc | dBge dBAG | cBce dBAG | E2 A2 A3 B | cBcd efge | dBAF GFED | GBAc BdAc | 
 B2 G2 G2 :| z B | dBGB d2 gf | edcB cBAG | cBcd efge | f2 d2 d3 B | cBcd efge | dBAF GFED | 
 GBAc BdAc | B2 G2 G2 :|  