Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:3/4
K:F
['A>BcAGF E>GGBAG', 'CFFAAGF A>Bcdef gGGBAG ABcfeg']  
X:1
L:1/8
M:3/4
K:F
 A>BcAGF | E>GGBAG | A>BcAGF | CFFAAGF :: A>Bcdef | gGGBAG | ABcfeg | fFFAGF :|  