If you want to get rid of a musty smell without washing, you can try some simple tricks. First, you can use baking soda. Just sprinkle it on the affected area, leave it for a while, and then vacuum it up. Baking soda helps absorb odours, leaving things smelling fresh. Another option is using activated charcoal. You can place some charcoal in a container near the musty smell, which will help absorb the odour over time.
Additionally, you can try using white vinegar. Mix equal vinegar and water in a spray bottle and mist the area. The vinegar smell will dissipate, taking the musty odour with it. Lastly, you can use citrus peels. Place some citrus peels, like lemon or orange, where the smell is strong. The natural oils in the peels will help neutralise the odour. These easy methods can make a big difference in freshening your space without washing.