Generate harmonious tunes by incorporating the specified letter-based framework and the presented motif.
X:1
L:1/8
M:2/2
K:Amix
['eAAF G2 cd eA A2 gAfA eAAF', 'ea a2', 'eA A2', 'ea a2']  
X:1
L:1/8
M:2/2
K:Amix
 eAAF G2 cd | eA A2 gAfA | eAAF G3 B | dBgB BA A2 :| ea a2 (3bag ag | eaag (3efg dg | ea a2 baaf | 
 gedB BA A2 | ea a2 (3bag ag | eaaf g3 a | bgaf gefd | edgB BA A2 |:"^Variations:" eA A2 G2 (3Bcd | 
 eA A2 gefd | eA A2 G2 Bc | dBgd BA A2 :| ea a2 bgag | eaaf gefd | ea a2 bgaf | gedB BABd | 
 ea a2 bgag | edef g3 a | bgab gefd | edgd BA A2 ||  