Exercise weights usually are based on some standard unit (in the USA, pounds) and then come in integer multiples of that unit- 1, 2, 3, etc., and eventually by about 10 or so start skipping in higher multiples, i.e., 15, 20, 25, etc.
What got me thinking about this was the long and difficult search for hand weights between 1 and 2 pounds. I eventually found 1.5 pounds and 0.75 kg (about 1.65 lbs).
What I was wondering is if there would be any demand for weight sets that increase in weight by a fixed proportion. For the simplest example, take the square root of 2 which is approximately 1.41. IOW, each weight would be the square root of 2 heavier than the previous one of the series, so every weight would be slightly more than 41% heavier than the previous one, every second weight would be twice as heavy, and so forth.
If that’s too big an interval, use the cube root of 2 ≈ 126%
Since I’ve never seen or heard of anything like this, I suppose it must not be as nifty an idea as it seemed to me at first. Maybe the usual way is simpler. But I’d like to hear the Dopers chime in.