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
Q:1/8=180
M:4/4
K:G
['BG G2 dcAG (3FED', 'e2 ed ^cA A2']  
X:1
L:1/8
Q:1/8=180
M:4/4
K:G
"^reel" 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 :|  