Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:Amin
['A>ed c>Bc', '(c2 c) deg deg']  
X:1
L:1/8
M:6/8
K:Amin
 (ed) | c>Bc A>ed | c>Bc A>Bc | dBG GAG | dBG GAB | c>bc A>ed | c>Bc AGE | (c>de/g/) ede | 
 cAA A2 :: B2 | (c2 c) deg | deg ecA | (B2 c) d>ed | d>ed dBG | (c2 c) deg | deg (a2 a) | geg ede | 
 cAA A2 :|  