Craft a musical piece that incorporates the given motif and follows the outlined structure.
X:1
L:1/8
M:2/2
K:Dmix
['FD (3EFG A3 B cAdB cAGc', '(3efg fdec', '(3ABc AG', 'Ad d2', 'fdec A3 B cBcd eaag efge dfed'  
X:1
L:1/8
M:2/2
K:Dmix
 FD (3EFG A3 B | cAdB cAGc | Add^c d2 (3efg | fdec dcAG | FD (3EFG A3 B | cAdB cAGc | Addc ABAG |1 
 EFGE FDDE :|2 EFGE FDDg |: fd (3efg fdec | Addc Adde | fd (3efg fdec | AGAB c2 cd | eaag efge | 
 dfed cAGc | Addc ABAG |1 EFGE FDDg :|2 EFGE FDDE |:"^Variations:" (3FED FG A3 B | c2 cB cAGc | 
 Add^c d2 (3efg | fdec dcAG | (3FED (3EFG A3 B | cedB cAGc | Addc (3ABc AG |1 EFGE FDDE :|2 
 EFGE FDDg |: fded fdec | Addc Addg | fd (3efg fdec | AGAB cBcd | eaag aege | dfed cAdc | 
 (3ABc AG (3EFG AB |1 cAGE EDDg :|2 cAGE EDDE |:"^more variations" F3 D (3EFG AB | c2 dc cAGc | 
 Ad d2 Adeg | fdec dcAG | F3 D (3EFG AB | cAdB cAGc | Addc ABAG |1 EFGE FDDE :|2 EFGE FDDg |: 
 f3 g fed^c | Ad d2 Adde | f3 d fdec | A3 B cBcd | eaag efge | dfed c2 Bc | Addc ABAG |1 
 EFGE FDDg :|2 EFGE FDDE ||  