I've been making my own shorthand notation for how I made designs for several years now and slowly refining it.
This post can be a starting point in trying to codify any of it. Hopefully this will be the start of a useful shorthand.
Today, I'll lead with the picture and we can work from there.
I made a complex piece using several designs layered on each other.
Lets start with a copy of the notation below the design and then I'll break down what each part means and why it is structured the way it is. Hopefully this description will enable you to make use of the notation for yourself if you are so inclined.
96-40(64/16) : C3
48-32: 1A, (8 CCW) 1A
48-16: (4 CW) 1, (8 CCW) 1
There are four lines; each giving information about a different stage of the design.
These steps form the lines of the design. I then coloured it in a checkerboard pattern starting by colouring all the outer cells and alternating on my way into the center of the design.
This picture is a visual reference for the 6 O'clock starting point described in step 3. In this case it would be for the design 72-42: 2A.
This is a starting point for developing a broader notation involving more details and types of designs. This should prove to be a robust starting point for gear-in-ring style designs.