This sheet works a 90" floor-to-floor rise two ways. Option A uses the fewest risers the IRC allows, 12 at 7-1/2" on 10" treads. Option B adds one riser and uses 11" treads for a gentler 6-15/16" step. Both come with hook-once tape marks for the stringer edge, below the calculator.
Option A: 12 risers at 7-1/2"
90" ÷ 7.75 = 11.61, rounded up to 12 risers, each 7-1/2" (7.5000", 190.5 mm). On 11 treads of 10" the stair lands 110" (9' 2") out from the upper floor edge and climbs at 36.9°; 2R + T scores 25.00".
Each step is 12-1/2" along the stringer edge. Notches cut 6" deep, leaving 5-1/4" of throat in a 2x12; the cut length is 11' 9-3/8", so buy 12 ft stock.
Option B: 13 risers at 6-15/16"
One more riser drops each step to 6-15/16" (6.9231"). With 11" treads the run grows to 132" (11' 0"), 22" more than Option A, and the angle eases to 32.2° with 2R + T at 24.85".
The diagonal is 13", the throat 5-3/8", and the stringer cut length 13' 3-1/8" (14 ft).
Cutting the bottom and the top
Take the tread thickness off the bottom riser: 7-1/2" becomes 6-1/2" under 1" 5/4 or composite treads, 6" under 1-1/2" 2x6 treads and 6-7/16" under 1-1/16" oak treads. Every finished step then measures 7-1/2".
At the top, the last tread notch sits 8-1/2" below the finished floor for 1" treads. Seated on a 2x header, the header top goes 16-1/4" below the finished floor with oak treads.
Code notes for this stair
12 risers means a handrail is required (four or more risers), 34" to 38" above the nosings.
The 110" run is more than the 6'-0" a cut stringer may span under DCA 6: set 1 4x4 support post on 12" footings under the stringers, or build a landing.
Headroom and the stairwell opening
The IRC wants 6'-8" measured plumb from the nosing line. With 12-1/2" of floor framing and ceiling, the opening above Option A must start 0" out from the bottom riser and run 110" (9' 2") to the top of the stair.
Floor to floor is the ceiling height plus the joists and subfloor: 90" is a 78" ceiling over 2x12 joists, or 80" over 2x10s.