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:Amin
['B/>c/A ^G>A B/>c/A', 'c>e d/>e/c B/>c/A d/>e/c', 'A, x |:[M:3/4][K:Cmin] g2', 'ge g2 f2{gf} ef g2 afge g2{g}', 'eg(df) (ec)eg d2 c2 edfg de c4', 'Tf2 ec df Te2 (g2 c2) c2', 'Te2 G2', 'c3/2d/4c/4 BG']  
X:1
L:1/8
M:2/4
K:Amin
 c | B/>c/A ^G>A | B/>c/A ^G>A | B/>c/A d>c | B2 E :: B | c>e d/>e/c | B/>c/A d/>e/c | B2 EB | 
 c>e d/>e/c | B/>c/A d/>e/c | B/>c/A{c} B>^G | A2 A, :| x |:[M:3/4][K:Cmin] g2 g2 ge | 
 g2 f2{gf} ef | g2 afge | g2{g} f2 e2 :: c2 eg(df) | (ec)eg d2 | c2 edfg | de c4 :: 
[M:3/4][K:Cmin] g2 eg Tf2 | ec df Te2 | (g2 c2) c2 :: g2 eg Tf2 | ec df Te2 | G2 g2 Tf2 | 
 (ec) (df) Te2 | G2 c2 c2 :|[M:2/4][K:Gmin] d>c BG | A2 BG | (d>c) BG | A2 BG | d>c GB | AB d2 | 
 c3/2d/4c/4 BG | AB d2 | c3/2d/4c/4 BG | A/B/c/A/ BG | c3/2d/4c/4 BG | A/B/c/A/ BG | 
 c3/2d/4c/4 Bd | A2 AB | G2 G2 |]  