Design a music composition that incorporates the given motif, while maintaining the essential musical format.
X:1
L:1/8
Q:1/4=120
M:4/4
K:F
['(F>G)Ac BABG FAGF', 'A2 A2'  
X:1
L:1/8
Q:1/4=120
M:4/4
K:F
"^Allegro moderato" (F>G)Ac BABG | FAGF EGCE | (F>A)(GB) (Ac)(AF) | (Ggfd) (cdBG) | (F>G)Ac BABG | 
 FAGF ECDE | (Fd)(cB) (A>B)(Gc) | (AF)(GE) [CF]2 z2 || A2 A2 A2 A2 | D2 D2 D2 D2 | 
 G2 F2 G2 F2 EDGF | A2 G2 F2 E2 | (F>G)(Ac) (BABG) | (FAGF) ECDE | F(dcB) (A>B)(GE) | 
 (AF)(GE) [CE]2 z2 ||  