I looked around my bench for other layout tools
that might interest you and settled on center marking gauges
that I use frequently to scribe a line or mark a point in the
exact center of a board.
These are highly akin to common marking gauges
that scribe a line parallel go an edge but these instantly find
center and scribe a line parallel to both edges.
You might want to make one of these to speed up
center finding without having to adjust dividers. I have used
the wooden one for about 30 years after I got it from a seller
out of England.
The brass specimen also came from England and I
use it on small projects. Both have sharpened steel pins in the
center of the central part. The brass one is delicate and I keep
it in a walnut case so it does not suffer damage.
James E. Price