Compose a piece using the alphabetic notation of the assigned musical structure and the provided melodic motif.
X:1
L:1/8
Q:1/2=80
M:2/2
K:F
['F2 F>F F2 (d/c/B/A/) G2 G>G G2', 'f2 f3 A AG G2 g3 B', 'd2 ^c2', 'c2 c2']  
X:1
L:1/8
Q:1/2=80
M:2/2
K:F
 F2 F>F F2 (d/c/B/A/) | G2 G>G G2 (e/d/c/B/) | c2 c>c c3 g | gabg a2 f2 :: f3 A AG G2 | 
 g3 B BA A2 | c2 cc c3 B | GABG A2 F2 :: DFAd d2 ^c2 | A^ceg g2 f2 | afed bgfe | d2 ^c2 d3 z :: 
 f3 c c2 BA | GABc B2 A2 | c2 c2 c2 dc | cBAG A2 G2 | c2 c2 c2 de | f2 f2 f4 | fedc BAGF | 
 A2 G2 F4 :|  