First of all, I commend your thoughfulness and consideration for your neighbors in regards to the piano placement. The opposite wall does need something to balance and visually divide the dining/ living areas. Consider an entry table, chest of drawers or bench with mirror or artwork above, in addition to the tv console. and perhaps some side tables or coffee table.
What wood? Clearly, you have three different wood tones in the space(floors, piano, dining table). Since you rent and cannot change the floor, I'd discard the idea of needing to match the floor tones, as you "can't take it with you." Use an area rug instead.
As far as choosing furniture, consider what look you want to achieve. If you don't know? Ask yourself what stores would you most enjoy browsing while you wait for your cinema to allow you inside.
Do turn your dining table the opposite way -as advised up thread
In this condo below, the dark short shelf unit mimics the floor and refers back to the dark ottoman seating and dark accent pillow for balance, as does the medium tone coffee table and the dining table/ chairs. Area rugs divide the spaces, as well as the floor plant. Your piano placememt serves similar role as the floor plant- like holding hands between your two spaces
focus on a coordinated look for your belongings, not the floor, which you don't own. I'd do something like the mirror & bookcase or chest of drawers for storage on the empty space shared wall. A dark coffee table with a reflective or light colored tray and a medium wood tone tv console. Allow the piano to be the accent piece, rather than a big row of dark furniture, Add some black in artwork (maybe black photo frames). Add some pattern throw pillows that have a bit of black. After all ,there is an old design rule, that every room needs a bit of black,
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