Just a few thoughts in our conversation and shared design knowledge on the step of the staircase,
In Residential design the standard width of a tread is 10" with a 1" overhang. Remember this is based on the overall run (total distance) of the staircase and taking into consideration of the riser height. Again I want to share the How To build process of the Tread with this fantastic explanation by stairbuilding
The other major part of the tread is how it meets the riser, the edge or bullnosing part of the tread. There are many styles of Bullnosing......see chart below.
The styles of the Tread vary with the style of the house, as it is a sculptural focal point leading you from one level to the next. The tread maybe of wood and custom species like a maple to a reclaimed style, another option is the wood and carpet - where the carpet is installed like a runner down the center of the stair tread. This can be designed as a flowing runner from tread to riser, or just on the tread. This style accents the wood on each side of the tread, and can be a traditional to a contemporary style. Some people prefer a carpeted staircase, due to safety concerns - giving your more traction on the climb and descend.
Another option is to have a natural stone tread, also fitting to the traditional and contemporary design styles, where as the glass riser reads to a more modern style.
Here are a few mind snap photos to inspire these styles.
I say be creative in your staircase design, from the banister - riser - and tread. Think about the function of your staircase, and keep it safe yet accent it with your personality. Make every step a reflection of you and YOUR style.