Off white, in the direction of a not-too-cool grey. Look at Benjamin Moore Horizon, but be careful. It seems to me to have a green undertone which could look gorgeous or could make you feel you'd drowned in a particularly algae-rich pond.

For anyone to be much more use than that, I very much suggest you try to post a picture here that is reasonably accurate on the colours of the drapes and furniture and post that. Most of us here think with our eyes.

By the way, try googling images of "moss green colour" and see how many different colours you get!

Take a look a Farrow and ball skimming stone.