Here’s a nature-themed color palette that incorporates black, green, and blue tints that complement burnt amber:

 <Nature Inspired Palette>
1. Deep Forest Green - 
                            
                            #2C3E50
                         - A rich, dark green that evokes the depth of a dense forest.
2. Midnight Blue - 
                            
                            #1A2B4D
                         - A deep blue with a hint of black, reminiscent of twilight skies.
3. Smoky Quartz - 
                            
                            #7B6A5B
                         - A muted brownish-black that adds an earthy touch to the palette.
4. Burnt Amber - 
                            
                            #D76D30
                         - A warm, vibrant amber that serves as the focal point of the palette.
5. Moss Green - 
                            
                            #4A6C4D
                         - A soft, muted green that adds a natural, calming presence.

This color palette creates a serene and earthy atmosphere, perfect for a room inspired by nature. The combination of the dark tints with the warm burnt amber provides a cozy yet sophisticated feel.

Would you like any specific suggestions on how to use these colors in your room design, or do you have any other preferences in mind?