Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/4
Q:1/4=110
M:2/4
K:C
['c B/ A/ G G A B']  
X:1
L:1/4
Q:1/4=110
M:2/4
K:C
 c B/ A/ | G G | A B | c z | c B/ A/ | G G | A B | c z | c2 | B B | A2 | B B | A z | c d | e2 | 
 c d | e z e d/ c/ | B A | A ^G | A2 |]  