Design a melodically engaging tune in accordance with the suggested chord progression.
'F', 'Bb', 'F', 'C7', 'F', 'Bb', 'F', 'C7', 'Bb', 'Am7', 'Gm7', 'F', 'F7', 'Bb', 'F', 'Bdim', 'F', 'Gm7', 'C7', 'F'  
X:1
L:1/4
M:4/4
K:F
"F" c c/d/ c A/G/ | F A c2 |"Bb" d d"F" c A |"C7" G c c2 |"F" c c/d/ c A/G/ | F A c2 | 
"Bb" d d/d/"F" c/c/ A |"C7" G c F2 ||"Bb" B B d2 |"Am7" c c/c/ A2 |"Gm7" G B B2 |"F" A c/c/ F A | 
 c c/d/"F7" c A |"Bb" B"F" c"Bdim" d z |"F" c c/d/ c/c/ A |"Gm7" G"C7" c"F" F z :|  