Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:3/4
K:G
['f>g e>g c2', 'c>B A2 d>c B>D G2 B>G']  
X:1
L:1/8
M:3/4
K:G
|: g f>g | e>g c2 f>e | d>g B>e d>B | c>B A2 d>c | B>d G>g f>g | e>g c2 g>e | d>g B>g f>e | 
 e>d f>e c>A | G3 :: B A>G | c>B A2 d>c | B>D G2 B>G | F>A D2 c>A | G>D G>B A>B | c>B A2 d>c | 
 B>D G2 B>G | F>D F>d c>A | G3 :|  