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
['vG<G E2', 'uB vc2 (dc)', 'G2 c<c Ac B<B G2 (ucd) e^f']  
X:1
L:1/8
M:4/4
K:Amin
 E2 (DE) CD vE2 | vG<G E2 vG<G E2 | (TvE2 DE) CD E2 |({d} cA) BG vA2- A2 :| uB |: vc2 (dc) B2 G2 | 
 c<c Ac B<B G2 | (ucd) e^f g2 d2 | cA BG A2- A2 :|  