Construct a piece of music by converting the stated musical sequence into an alphabetical format and integrating the supplied motif.
X:1
L:1/8
M:4/4
K:C
['[M:2/2][K:Bb] .abc (GA) BABc dcd^f g^fga gabg', 'G2 g2 gfd^f gabg gfdf GFDF BABc']  
X:1
L:1/8
M:4/4
K:C
[M:2/2][K:Bb] .abc (GA) | BABc dcd^f | g^fga gabg | fdbg fdcd | BAG^F GFDF | G2 (GA) BABG | 
 F2 FG AGFD | GABc dcBA | B2 G2 G2 :: g2 | gfd^f gabg | gfdf GFDF | BABc dcd=e | fcdB AGFD | 
 G^FGA BABc | BFdB AFec | d^fga bag=f | d2 g2 g2 :|  