Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/4
K:F
['F (EGB)d cAAc cd/c/ BG/G/ FAAF EG', 'Bdfd c/c/A/A/ F2 cd/c/ B/B/G/G/']  
X:1
L:1/8
M:2/4
K:F
 F | (EGB)d | cAAc | cd/c/ BG/G/ | FAAF | EG Bd/d/ | cA Ac/c/ | cd/c/ BG | GG A2 :: Bdfd | 
 c/c/A/A/ F2 | cd/c/ B/B/G/G/ | FAAF | Bdfd | c/c/A/A/ F2 | cd/c/ B/B/G/G/ | GF F2 :|  