Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/4
K:Amix
['BA/B/ cA', 'c d>c BA/B/ cA']  
X:1
L:1/8
M:2/4
K:Amix
 EA AB/c/ | e3 c | d>c BA/B/ | cA FE | EA AB/c/ | e3 c |1 dc BA/B/ | cA AF :|2 dc BA/B/ | cA A2 || 
 c>B cd | e3 c | d>c BA/B/ | cA FE |1 c>B cc/d/ | e3 c | d>c BA/B/ | cA AB :|2 EA AB/c/ | e3 c | 
 d>c BA/B/ | cA AF ||  