Chromatic Scale?

Is a chromatic scale one where you just play all the notes of a scale in sequence?

For instance, if you start at middle C and go up one fret at a time until you reach C again, then go back down the reverse way one fret at a time again, is that called a chromatic scale?

Yup.. that's the one.. All the possible notes in a scale.. for example:

C C# D D# E F F# G G# A A# B (C)

The term chromatic derives from the Greek word chroma, meaning colour. Chromatic notes are traditionally understood as harmonically inessential embellishments, shadings, or inflections of diatonic notes. Diatonic refers to musical elements derived from the modes and transpositions of the "white note scale" (as seen on a piano) C D E F G A B (C). Whereas the Chromatic scale is all of the keys, black and white, on the piano.