Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/2=60
M:2/2
K:Amix
['e Aeef eAcA Beeg dGBG Aeef A/A/A', 'B G Aaaa caca Bggg dgBG Aaae']  
X:1
L:1/8
Q:1/2=60
M:2/2
K:Amix
|: e | Aeef eAcA | Beeg dGBG | Aeef A/A/A Tc2 | E/E/E E2 GA B |: G | Aaaa caca | Bggg dgBG | 
 Aaae ceae |1 gg a/g/f/e/ dg B :|2 gbeg dg B |]  