Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
M:2/2
K:G
['D2 (3(FED)', 'dg{a}gf gbag']  
X:1
L:1/8
M:2/2
K:G
"^Sign" D2 | GBAF G2 (AF) | D2 (3(FED) ADFD | DGGF GABc | dcde fdcA | GBAF GBAF | D2 (3(FED) ADGF | 
 DG{A}GF GABc | dfeg fdcA || dg{a}gf gbag | fd (3.d.d.d (fd)cA | dg{a}gf g2 (fg) | agbg ag{a}gf | 
 dg{a}gf gbag | fgef defg | (3(agf) (ge) fdec | dfeg fdc"^Sign" A |]  