How long do you have to wait before dying your hair a different color if you don't like the first results?

Yesterday I dyed my hair blue black using Garnier Nutrisse Permanent Haircolor, Bl 21 Reflective Blue Black, but i wasn't what I wanted and also my hair didn't hold the dye very much. Now I want to try and dye it blue black again using Clairol Nice'N Easy Hair Color (124 Natural Blue Black. So I want to know how long I should wait before dying it gain and if it's possible to dye your hair the same color using a different brand and if it would affect the color in any way.