The Greek phoenix bird is typically gold and scarlet (a color somewhere between red and orange). Chinese phoenix tattoos have the 5 primary colors: black, white, red, green and yellow.
Additional elements can also be incorporated into the phoenix tattoo design such as dragons, the sun, tribal tattoo patterns, Chinese symbols or Japanese kanji.
It is very important to note that there is absolutely no correct way to depict the phoenix, nor is there an incorrect way to depict the bird.
Tribal Phoenix Tattoo