Buiding of Chromatic Scales Options

[linda.ff]

I don't think it matters how you write the scale! AB seem to accept almost any reasonable version, providing, as has already been said, that there are either one or two notes on each step. After all, what is a scale? Either it's a flourish in the middle of a piece, in which case you just need to write it so that the player can make sense of it easily, or it's a kind of inventory of notes to be used in that key; isolated chromatic notes in a piece of music don't come from some pre-ordained scale, they come from the context, which is why so many beginner books have a bluesy piece which uses an E-D#-E pattern on one line, and an Eb-D-Eb pattern on the next - because in the first instance that same key on the piano is, melodically, clearly the note below E, and has to look like it, and in the second it is the note above D, and has to look like it.

Really don't lose much sleep over the chormatic sclae. Not more than two notes per letter, and avoiding causing naturals or white sharps/flats should sort it.