I don't know anything about interior design, but colour theory is all the same whether it's paint on a canvas or on your bedroom walls, so I thought I'd add a few more colour schemes used in painting that aren't listed here already.

Split Complementary- Along with the one mentioned above there is also a variation of the split complementary scheme often used. This variation is similar in that it consists of a hue and the two hues on either side of the complement of the first hue, but differs in the fact that it also contains the complement as well. One way to think of it is a hue with its corresponding analogous complement. For example, using yellow as your starting colour, the scheme would also contain red-violet, violet and blue-violet. I assume witnie didn't mention this because I wouldn't imagine it's used very much in interior design since it would tend to be pretty overpowering.

Tetrad- Again there is yet another variation of this scheme used in painting. Like the name suggests this consists of four hues, however it's the way in which these hues are arranged that differs. One type is four hues spread equally apart within the colour wheel, essentially acting as two sets of complements forming a square shape. The other variation not already mentioned is two sets of complements forming a rectangular shape; that is, not being spaced equidistant. Yellow, violet, green and red would be an example of this variation.

This is not another colour scheme, but I thought I'd list a few common types of monochrome paintings:

Camaieu- The name used to describe a painting done in a monochromatic scheme.

Grisaille- This is a painting done in various shades of grey. As a personal aside, painting in this style is a very good exercise since it gives you a better sense of value which can be difficult to master when painting in colour since it can be easier to focus on hue than on value or chroma.

Cirage- This is a monochromatic painting done strictly in shades of yellow.