Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:Amix
['cA (3Bcd', 'eaag deed (3Bcd ef g2 fg']  
X:1
L:1/8
M:4/4
K:Amix
 cA (3Bcd cAGB | Ad d2 e2 ed | cA (3Bcd caag | efge d2 ed | cA (3Bcd cAGB | Ad d2 efed | 
 cA (3Bcd caag | efge d2 (3Bcd || eaag deed | (3Bcd ef g2 fg | eaag efge | afge d3 g | eaag deed | 
 (3Bcd ef g2 fg | ea a2 ea a2 | g2 ge deed ||  