Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:3/8=120
M:6/8
K:F
['cFF F2', 'C3 cd_e d2 c dGG G3 Bcd']  
X:1
L:1/8
Q:3/8=120
M:6/8
K:F
 cFF F2 d | cFF F2 d | cBA BAG | F3 f3 | cFF F2 d | cFF F2 a | gec fd=B | c3 C3 :: cd_e d2 c | 
 dGG G3 | Bcd c2 B | cFF F3 | fga def | Bcd GAB | AGF CFE | F3 f3 :|  