Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:3/4
K:C
['c2 c2 d2', 'G6 g2 (ga)(gf) e2 e4 f2 (fg)(fe)']  
X:1
L:1/8
M:3/4
K:C
|: c2 c2 d2 | e2 e2 f2 | g6 | c2 c2 d2 | B3 A G2 | A2 B2 c2 | d6 | G2 A2 B2 | c3 B A2 | B>c A3 G | 
 G6 :: g2 (ga)(gf) | e2 e4 | f2 (fg)(fe) | d2 d4 | B2 B2 c2 | d2 d2 (ef) | (ga)(gf)(ef) | 
 e2 e2 f(e/f/) | g3 f(ef) | (ed) d3 c | c6 |]  