How can I get rid of my apartment's musty odor?

maybe put vanilla extract in your oven for a bit. Or try to find the source of the smell.

You may have damp? Dry Rot? or not enough Fresh air Circulation?

Depending on the age of the materials in the apartment, sometimes just due to age and wearing out, things do begin to take on an odor.

Have you checked to make sure there is no mould or mildew anywhere? - inside closet corners, under carpets, inside cabinets, etc.

Is there a proper ventillation fan in the bathroom? When has it been cleaned last? - Really cleaned- the cover grill snapped off or unscrewed and the inside housing of the fan vacuumed thoroughly. Ventilation or exhaust fans help a great deal in removing moisture and humidity, which can contribute to musty smells.

You can also give the heating/ac rad covers a thorough cleaning and vacuuming.

This maintenance should improve the air exchange in the apartment.

Is there a ceiling fan in the apartment anywhere? These are very good at drawing fresh air in, and improving the general air circulation, especially if there are few windows, or if the windows are small.

Don't cover up the smell, first and foremost. I'd sprinkle baking soda all over, and let it sit for as long as you can. Vacuum the rugs or the floors. You can hire a rug company like Stanley Steamer. DON'T use a rental from the store, it has everybody's dirt on it. I think the smell came from shampooing the rugs awhile ago, and all the water wasn't sucked up, this left the smell. How long was the apartment vacant? The windows closed and damp air could be the reason also. Good Luck!

My guess is that there is mold (alive or already dead) somewhere in the walls or under the carpet. You should request that your landlord have the air quality tested by a reliable company. Mention that it would be to his advantage to deal with the issue as quickly as possible because it might spread throughout the building.

i would also try to check your air quality, a little concerned for you that it could be more than just an annoying smell. Makes me think about a few years ago when I was looking for a place to rent. I found one I liked. Decent area and price but exact description you gave of musty smell. I passed, but not befor I thought a lot about it.

If the tenants before you had pets those air ducts are probably loaded with hair. See if your landlord will pay to have them cleaned. Are the air ducts just for your apartment, or is it for the whole house?