Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/4
M:6/4
K:G
['G3/2 A/ G', 'b g']  
X:1
L:1/4
M:6/4
K:G
|:"_Lively" G3/2 A/ G d3/2 B/ d | A3/2 B/ A c2 e | G3/2 A/ G d B d | e c e d2 (c/B/) | 
 c e c B d B | A3/2 B/ A{B} c2 e | g3/2 f/ e d B d | G3/2 A/ G TB2 d :: g3/2 a/ g b g b | 
 e3/2 f/ g Tf2 d | g3/2 a/ g d' b g | d' b g d' b g | e3/2 f/ g d B G | a A B{B} c2 (e/f/) | 
 g3/2 f/ e d B d | G3/2 A/ G TB2 d :|  