Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:2/2
K:C
["(3gab c'4 g3 g e>cg>e c2 GG", 'G3 B d3 f']  
X:1
L:1/8
M:2/2
K:C
 (3gab | c'4 g3 g | e>cg>e c2 GG | c4 B/c/B/c/ d/e/d/e/ | edcB c2 G>G | e4 d/e/d/e/ f/g/f/g/ | 
 afed e2 c/d/e/f/ | g2 ec f2 e2 | d2 dd d2 :: (3e/f/g/ | G3 B d3 f | e>c g>e c'gec | G3 B d3 f | 
 e2 cc cdef | g4 b/c'/b/c'/ d'/c'/b/a/ | g3 f e2 GG | c2 c>e d>cd>e | c2 cc c2 :|  