These are some other variations I enjoy including in Arbeau-style gavottes and double branles. Some are entirely French, others take inspiration from Italian steps and patterns of the same period; as the portion of the Italian repertoire described in surviving writings is so much more diverse.
The underlying pattern is always "double left, double right".
I think of that as four "chunks", each of which can be replaced with an alternate step or set of steps:
Very similar patterns will work to replace each "chunk", but small variations are required to get the right combination: move the right way, end ready to move the right foot at the start of the next chunk.
The trick to smooth variations on a double is to learn how each of your favourite moves fits into each of those chunks - and then practice until you do it without thinkink - so you're never left wrong-footed, or moving the wrong way. The next trick is to learn how to cover when you do get it wrong!
I start planning a variation at the end: the second part of the double right. A simple variation might only affect that bit. If I want something more complicated, I vary the whole double right. Even more complicated, and it might creep into the double left.
You can do vary nice solos while only varying the double right. That's in keeping with what Arbeau describes, it means you always have the double left to think about what you're going to do next, and the repeating pattern can bring a nice choreographical unity to what you're doing: it helps your audience understand the structure you are working with.
These are some that work for me, my feet, my sense of style.
Step left, together, left, together; right, together, . . . ?
The steps in italics are drawn from the Italian repertoire, described in Italian terms. Some could be re-phrased using French terminology - I've used whatever I'm most likely to use in a class.
One:
Two:
Three:
Four:
Step left, together, left, together; ? [something from the list at 4. above]
First variation in four doubles
OR:
7. 4 kicks, RLRL
8. 1 capriole, ending with left behind
Second variation in four doubles
OR
3-4. 7 kicks, LRLR LRL, moving right
5-6. 7 kicks, RLRL RLR, moving left
How to figure out what foot to start on, for any figure: it's all about counting the weight-changes
Assuming that
Then
KICKS