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:Amin
['A2 A>B', 'g>a g>e d>B G2 G/A/B A>E E<D']  
X:1
L:1/8
M:4/4
K:Amin
|: E>A A<G A2 A>B | c>B A<G E2 E>E | D>C C<D D>C D<E | D>C A,<G, A,2 A,>G, | A,>A A<G A>G A>B | 
 c>e e<c A2 A/B/c | B2 B>c d>B e>d |1 c2 A2 A>B A>G :|2 c2 A2 A2 |: G/A/B | c2 c<e g2 g>a | 
 g>e d>B G2 G/A/B | A>E E<D E2 EA/B/ | A>E D<C A,2 G/A/B | c2 e2 a3 b | a>g e>d c>G A>B | 
 c/B/A B>G A>G E>D | E/D/C D>B, A,2 :|  