Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
M:4/4
K:Amix
['e2 dg eA (3Bcd e2 ec d2', 'cA A2', 'agbg g2 bg efge :|2 g3 b']  
X:1
L:1/8
M:4/4
K:Amix
 e2 dg eA (3Bcd | e2 ec d2 BA | Beed e2 gd | (3Bcd ge dGBd :: cA A2 EABd | cA A2 dGBd | 
 cA A2 EAcA |1 (3Bcd ge dGBd :|2 (3Bcd ge def^g |: a2 c'a bac'a | a2 c'a e3 f |1 g2 bg agbg | 
 g2 bg efge :|2 g3 b agef | g3 e dGBd ||  