This sheet works a 144" floor-to-floor rise two ways. Option A uses the fewest risers the IRC allows, 19 at 7-9/16" on 10" treads. Option B adds one riser and uses 11" treads for a gentler 7-3/16" step. Both come with hook-once tape marks for the stringer edge, below the calculator.
Option A: 19 risers at 7-9/16"
144" ÷ 7.75 = 18.58, rounded up to 19 risers, each 7-9/16"+ (7.5789", 192.5 mm). On 18 treads of 10" the stair lands 180" (15' 0") out from the upper floor edge and climbs at 37.2°; 2R + T scores 25.16".
Each step is 12-9/16" along the stringer edge. Notches cut 6-1/16" deep, leaving 5-3/16" of throat in a 2x12; the cut length is 19' 1-13/16", so buy 20 ft stock.
Option B: 20 risers at 7-3/16"
One more riser drops each step to 7-3/16" (7.2000"). With 11" treads the run grows to 209" (17' 5"), 29" more than Option A, and the angle eases to 33.2° with 2R + T at 25.40".
The diagonal is 13-1/8"+, the throat 5-1/4", and the stringer cut length 21' 1-3/16" (over 20 ft).
Cutting the bottom and the top
Take the tread thickness off the bottom riser: 7-9/16" becomes 6-9/16" under 1" 5/4 or composite treads, 6-1/16" under 1-1/2" 2x6 treads and 6-1/2" under 1-1/16" oak treads. Every finished step then measures 7-9/16".
At the top, the last tread notch sits 8-9/16" below the finished floor for 1" treads. Seated on a 2x header, the header top goes 16-5/16" below the finished floor with oak treads.
Code notes for this stair
19 risers means a handrail is required (four or more risers), 34" to 38" above the nosings.
The 180" run is more than the 6'-0" a cut stringer may span under DCA 6: set 2 4x4 support posts on 12" footings under the stringers, or build a landing.
144" is 0" under the 12'-0" point where DCA 6 requires a landing on deck stairs, and 7" under the 151" IRC limit for one flight.
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 57-15/16" out from the bottom riser and run 122-1/16" (10' 2-1/16") to the top of the stair.
Floor to floor is the ceiling height plus the joists and subfloor: 144" is a 132" ceiling over 2x12 joists, or 134" over 2x10s.