Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
Q:1/8=350
M:4/4
K:G
['BG G2 dcAG (3FED', 'e2 ed ^cA A2']  
X:1
L:1/8
Q:1/8=350
M:4/4
K:G
 dc | B3 A GBdB | cBAG FA D2 | BG G2 dcAG | (3FED AD GFED | B2 BA GBdB | cBAG FAdc | BG G2 dcAG | 
 (3FED EF G2 :| (3ABc | d3 g e2 ed | ^cA A2 d2 d=c | BG G2 dcAG | (3FED AD GFED | d3 B e2 ed | 
 ^cA A2 ded=c | BG G2 dcAG | (3FED EF G2 :|  