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 DGBG', 'AcBA G2 BG DGBG B2 BA B2', 'G2 gf edeg', "ac'ba g2 gf edeg BcBA B2 d2"]  
X:1
L:1/8
M:2/2
K:G
 BA | G2 BG DGBG | B2 BA BcBA | G2 BG DGBG | A2 AG AcBA || G2 BG DGBG | B2 BA B2 d2 | e3 f edef | 
 gedB AcBA |] G2 gf edeg | B2 BA BcBA | G2 gf edeg | a2 ag ac'ba || g2 gf edeg | BcBA B2 d2 | 
 efed cdef | gedB A2 |]  