When going from 1 down to a 6, you can play substitute the 6 part with a 1diminished chord over flat 5.
E.g. In the key of Cmajor if you are playing a 1-6-5 melody from a C to A and then G, on the right hand you play
C C+D#+F#+A C+E+G
On the left hand you play 1 flat5 5. In the key of C that will be from a C to F# to G.
Recording coming soon.
Till next time.