One of the problems that sometimes occurs in digital art is excessive regularity. While absolute repeatability is highly desirable in many applications, it is often flat and boring in the visual arts. The selection of colors in digital paintings and drawings is a particularly common case. The swatch palettes in Photoshop and similar programs offer a fixed set of perfectly regular colors, while a traditional painter's palette is inherently imprecise. In the paint program, selecting red always yields exactly the same red, while the natural media palette yields different reds each time, producing a more visually interesting result.
It's possible to use the supplied mixer interfaces to vary colors every few brushstrokes, but this is awkward and time-consuming. As a more elegant and naturalistic alternative, you could use some or all of the palettes below. (You can download all of them in a zip file by clicking here.)
In the case of Photoshop, you can choose a color from one of the palette images by hovering over it with the paintbrush/pencil tool and alt-clicking. The size of the sample, from a single-pixel point sample to a larger area average, can be set in the parameters for the eyedropper tool. Smaller samples yield more irregularity and larger samples less. Alternatively, you can apply a Gaussian blur to the palette images themselves to increase the overall level of regularity.
Left as an exercise for the programming-inclined reader is incorporating similar palettes into generative art programs. When a drawing routine requests a color, the value of a pixel or the average of a group of pixels would be returned, resulting in slightly different results each time. A similar effect could be achieved more compactly by deriving weighted values from the raw palette images.