Originally Posted by Bass Thumper
Yeah, this is that enharmonic thing again.
I'm not sure if there is an absolute crisp solution that fully answers this.
Up above I gave you a quick guideline you can use when unsure: skip a letter. So if you start with A#, the next note has to be some form of C (not B, and not D). Then some form of E (not D, not F). Make sense? As far as I know, this trick always works, although it can lead you into situations of double flats or double sharps. Pick your poison.

And I don't remember if anyone above mentioned another guideline, but I really detest mixing sharps and flats in the same chord spelling. For example, you would not want to write something like C, Eb, F# (though that example also fails the 'skip a letter' test).

Does that help? If you get stuck, you can always throw in Mike's wildcard F.

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