The same thing happens with tabby, which is strictly speaking a pattern which can come in many colors. To make things even more confusing
, there's two tabby patterns, the "Classic" which is the swirlies on the sides (like Narsil in my sig) and the "Mackeral" which we usually think of as a tiger pattern, being the stripes.
On the adoption cards you will see DSH, or DLH, or sometimes even DMH, which merely means a cat of mixed origins (does no one use the term "alley cat" any more?) and is descriptive of coat length with DSH being like your Jack (Domestic Short Hair,) DLH being something with hair like a Persian (Domestic Long Hair) and DMH (Domestic Medium Hair) being something somewhere in-between (like a Birman or some Maine Coons.)
If you really want to learn about it, the CFA web site
has some very interesting articles.