Mark,
It works.
The JR counter records 23.63636363... counts per revolution of the bike wheel, because the big gear has 26 teeth, the small gear has 11, and the counter records 10 counts each time the small gear makes one revolution.
Previous counters may have different ratios, because the tooth count may be different.
But the method works for other ratios as well, at least by my figuring.
There may be a simpler way, but I’m done for now. Well done!