Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
Q:1/4=100
M:4/4
K:C
['z2 g2', 'Bdgd Bdgd']  
X:1
L:1/16
Q:1/4=100
M:4/4
K:C
"^LARGO" z4 z2 g2 e4 z2 g2 | e4 z2 g2 e2g2e2g2 | cdef gGAB c4 z2 c'2 | a4 z2 c'2 a4 z2 c'2 | 
 a2c'2a2c'2 fgab c'd'ab | c'2d'2 b4 z2 d'2 b4 | z2 d'2 b2d'2b2d'2 gabc' | d'ac'b a2>g2 g4 z gab | 
 c'2ba gagf efed cdef | gafg egdg cgBg Agfe | dfcf BfAf Gfed cdef | gafg egdg cgBg Agfe | 
 dfcf BfAf Gfed c4 ||[M:2/2] cdef gagf efed cdef | g4 GABc dedc BcBA | GABc defg ecde fgab | 
 c'cec gGBG c4 z4 | gabc' d'e'd'c' bc'ba gabg | c'2ba gagf efed cdec | f2ed c_BAG FGA_B cdec | 
 fcAc fcAc fcAc fcAc | Bdgd Bdgd Bdgd Bdgd | ecde fgab cbca b2g2 | fgeg dgcg BgAg Ggfe | 
 defg ecde fefg agab | c'abc' bgab c'gfe d4 | c4 z4 Gcec Gcec | Gcec Gcec Gcec Gcec | 
 Acfc Acfc Acfc Acfc | Bdgd Bdgd Bdgd Bdgd | dfbf dfbf dfbf dfbf | agfe dcBA G4 z ABc defg- | 
 gagf efed cdcB ABAG F4 z GAB |"_sic" cd/e/ f>g de/d/ c6 B2 | c8 |]  