Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
M:3/4
K:Gmin
['d2g2 ^fgaf d2>A2 B2dB', 'z2 B2{/c}BA B2d2 f2d2 d2c2 Pc2A2 F4']  
X:1
L:1/16
M:3/4
K:Gmin
 G2{/A}G^F G2A2 BABc | d2{/e}d^c d2g2 ^fgaf | d2>A2 B2dB A2G2 | ^FGAF G2BG D4 | 
 G2{/A}G^F G2A2 BABc | !tenuto!d2>^c2 d2g2 ^fgaf | d2>A2 B2dB A2>G2 | ^F2AF G6 z2 :: 
 B2{/c}BA B2d2 f2d2 | d2c2 Pc2A2 F4 | (FA)(cA) (FA)(cA) F2g2 | f2e2 d2c2 B2PA2 | G2A2 B2cB A2BA | 
 G2g2 ^fgaf g4 | d2>A2 B2cB A2>G2 | ^FGAF G8 :|  