Compose a piece of music using the specified letter-based musical form and incorporating the assigned motif.
X:1
L:1/8
Q:1/2=80
M:2/2
K:Gmix
['B2 AG', 'z Bcde dedG Bd de/^f/ g/f/e/d/ gd']  
X:1
L:1/8
Q:1/2=80
M:2/2
K:Gmix
 g | B2 AG E/E/E cA | B2 AG G/G/G gd | B2 AG G/E/E cA | BdAB G3 ::"^rest added" z | Bcde dedG | 
 Bd de/^f/ g/f/e/d/ gd | Bdde dedG | BgAB G3 :|  