There's a theoretical proportion expected for rise and tread, something like 2x riser height + tread depth = 25. Some of this is coded in some places, for example, as discussed
HERE. Whether one follows that or not, the idea is that the higher the riser, the shorter the step tread.
I've designed hundreds of sets of steps, and HATE tiny treads. I prefer treads to be 15" (or so) deep, and depending on circumstances, as deep as 18" - but then I design for outdoors. I want moving on steps to be more like regular walking. Hate having to aim my feet when wandering around a garden, striding and then suddenly having to stop and mince my tootsies. For several groups of those ten inch tread type steps... I'd rather put in a stainless steel slide (!) For a set of nine steps in a relatively confined space inside, it makes sense to do something like 7"/7" - 11" tread, but I don't like it - make the space bigger in the first place. For, say, a tall guy with big feet, it's a real change of pace to have to near tiptoe up a staircase, re fitting foot onto tread.