This notation started as a personal thing,
so that I would be able to keep track of my experiments with different stitches.
However, the old version was starting to confuse even me,
plus it looked to me like tunisian crochet folks really needed more of a communication tool.
So below is the notation that (with help from the community) I developed, then revised.
Conversion table showing how this works:
Choices of hook strokes: