Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:2/2
K:G
['G2 BG AG{c}BG G2 BG{A} GEDE G2', 'BAGE{A} ED D2', 'edBg edBA', 'edBg edBA GE E2 ed (3Bcd ef']  
X:1
L:1/8
M:2/2
K:G
 G2 BG AG{c}BG | G2 BG{A} GEDE | G2 BG{c} AGAB |1{c} BAGE{A} EDDE :|2{c} BAGE{A} ED D2 |: 
 d3 B A3 B | d^cdB{c} BA{c}AB | d3 B A2 cB |{c} BAGE{A} ED D2 :: dgbg agbg | dgbg agef | 
 g3 e dedB |1{c} BAGE{A} ED D2 :|2{c} BAGE{A} EDDg :| edBg edBg | edBA GEEg | edBg edBA | 
 GAGE EDDg | edBg edBg | edBA GE E2 | ed (3Bcd ef g2 | GAGE EDEF ||  