Stair rise/run question
Our houseplan's layout really hinges on the dimensions of the stairs, so I want to make sure I'm getting this right.
My builder has said the optimal rise of 7 1/4" and run of 11", and a nosing of 1 1/4". Does the run include the nosing (in other words, for calculation purposes, should the run really be 9 3/4")? The local code requires 10" minimum tread, but is not clear whether that includes nosing or not. In our current stairs, the total tread is 10 1/2", and it seems pretty comfortable.
My other question is whether I'm calculating the total rise correctly: we'll have 8' ceilings on first floor and I believe we are using 9 1/4" i-joists for second floor, meaning the total rise for the stairs will be pretty close to 8'11"--does that sound right?
As I do the math, we can have a stairway with 11" treads (including nosing) and 7 1/8" rise. Does that sound appropriate?
Thanks for any thoughts!