Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
M:3/8
K:E
['g2ge f4 g6 c4 f2fgfeg2fg feg2fgfef2f2efcc cef/e/ccecc']  
X:1
L:1/16
M:3/8
K:E
 g2ge f4 | g6 c4 f2fgfeg2fg | feg2fgfef2f2efcc | cef/e/ccecc | c8 g2g2eg | fefgffeccc | 
 efc2ec c4 ceef f4- | f2z2ef | g2fefccfef | c2 e4 cecc | c8 |]  