Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:1/8=100
M:6/8
K:D
['cBA AEA AEA Bcd', 'cde efg', 'Bcd cBA']  
X:1
L:1/8
Q:1/8=100
M:6/8
K:D
 cBA AEA | AEA Bcd | cBA Ace | dBG Bcd | cBA AEA | AEA Bcd | Ace gfe | dBG Bcd :: cde efg | 
 faf ged | cde efg | faA Bcd | cde efg | afd bge | afd gec | dBG Bcd :: cBA Aaf | ecA Bcd | 
 cBA g2 e | dBG Bcd | cBA Aaa | Agg Aff | Aee efg | dBG Bcd :|  