Perhaps a sagey gray green? Is it truly purple or more of a cordovan color (which is how it reads on my monitor)? If it's a cordovan, one could do a lot of things to make it work if you like the color. I have a F&B color called "Pelt" in my guest room. I used white woodwork, white bed spreads, and yellow/white plaid taffeta for festoon blinds, dust ruffles and headboards. It looks fabulous.

Your art work is quite vibrant and if you painted the walls a simple white and accent with the dominant color in the painting your room will be very striking. That being said I truly think the high contrast of white would be stunning but if you want a color I would consider the dominant color of blue in the painting......but a very pale version of the blue. If you want some more energy in the room, then accessorize with the second most dominant color in the painting for cushions, rugs, sideboard, lamps etc. But I really wonder if the art work will be big enough for the wall you have it leaning against......seems like art is really big these days and I think recommendation is art should be 2/3 width of wall it is hung on....I would double check and see if there are recommendations for size....if you wanted to widen the art then another piece or two to make a large gallery wall would be nice with the addition of two more painting on the same theme in smaller sizes..... Here are some art and wall combinations....you just want to make sure the art demands attention and not the wall. Try hanging different sizes of butcher paper in art sizes and see what looks the best to you. Wide art but added lamps for balance; and the blue paint lowers the ceiling to the eye console and lamps added for width for a smaller piece of art Wide art with console centered on the off centered wall due to door way Large art can stand alone on wall Multiple but related art used on two walls again with console and lamps and window curtains to set up framed area for the art.... Your desired orange wall done in very modern design mook

It looks like your chairs are very neutral. What are the colors in the rest of the rooms? What about window treatments? I would suggest finding a rug or drapes that I love and then choosing a paint color in one of the lightest shades contained therein, since the room is small.

Would love to see some pics. Maybe try to post them in the comments?