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
['ABA GAe ABA', 'dec A3 GAc B3 GAd ecA{d} cBA', "c'bg aec' bge ABA aec BcB bgd", "c'ad bgA agc bgc c'ad gec agd"]  
X:1
L:1/8
M:6/8
K:Amin
|: ABA GAe | ABA gA^f | ABA GAe | ABA gAa | ABA GAe | ABA gA^f | ec'a ebg | dae dec :: A3 GAc | 
 B3 GAd | ecA{d} cBA | GAG ^FED | A,3 ABc |{c} dBA | GAd eAG |{^f} ged ecg |{e} ^fdc A3 :: 
 ABA aec | BcB bgd | age c'bg | aec' bge | ABA aec | BcB bgd | ec'a ebg | dae dec :: A A2 agc | 
 c'ad bgA | agc c'ad | bgA agc | bgc c'ad | gec agd | c'a :|  