The number a pitch is for
A roof pitch is a rise over a run of twelve. What you do with it is turn it into the slope factor: the number that multiplies a footprint into roof area. It is √(rise² + 144) ÷ 12 — the hypotenuse of a right triangle 12 across and rise up, over the 12.
At 6:12 the factor is 1.118. A house whose footprint is 1,200 square feet has 1,341.6 square feet of roof over it. At 12:12 the factor is 1.414 and the same footprint carries 1,697 square feet.
That factor is the number printed largest above, and the roof area it makes is the line right under it. Type a bigger house and the area grows while the factor stays put: it belongs to the pitch, not to the size. Only on a roof of several planes at different pitches does it move with their sizes, because then it is the sloped area over the footprint of all of them together.
| Pitch | Slope factor | Degrees | Percent |
|---|---|---|---|
| 1:12 | 1.0035 | 4.8° | 8.3% |
| 2:12 | 1.0138 | 9.5° | 16.7% |
| 3:12 | 1.0308 | 14.0° | 25.0% |
| 4:12 | 1.0541 | 18.4° | 33.3% |
| 5:12 | 1.0833 | 22.6° | 41.7% |
| 6:12 | 1.1180 | 26.6° | 50.0% |
| 7:12 | 1.1577 | 30.3° | 58.3% |
| 8:12 | 1.2019 | 33.7° | 66.7% |
| 9:12 | 1.2500 | 36.9° | 75.0% |
| 10:12 | 1.3017 | 39.8° | 83.3% |
| 12:12 | 1.4142 | 45.0° | 100.0% |
| 18:12 | 1.8028 | 56.3° | 150.0% |
| 24:12 | 2.2361 | 63.4° | 200.0% |
Measuring it
From the attic, against the underside of a rafter, or on the roof itself if the pitch is gentle enough to stand on: hold a spirit level horizontal, mark 12 inches along it from where it touches, and measure straight down from that mark to the roof. The drop is the rise. Six inches of drop is 6:12.
From the ground you can do it on a gable end: the rise is the height from the top of the wall to the peak, the run is half the width of the house, and the pitch is rise ÷ run × 12.
Three ways of saying one slope
A roofer says 6:12. A speed square or a phone says 26.6 degrees. A surveyor says 50 per cent. All three are the same roof, and mixing them up is the one mistake worth guarding against: 50 typed into a box that means a percent is a gentle roof, and 50 typed into a box that means a rise over twelve is almost vertical.
Here a bare number is the rise over twelve, because that is what the trade
says. Degrees and percent have to say so — 26.6°,
50% — and the line under the box reads your pitch back in all
three so you can see which one it took.
Where the pitch stops being a detail
Asphalt shingles need a slope steeper than 2:12, and from 2:12 up to 4:12 they need the underlayment doubled. At 8:12 and steeper the ice barrier at the eaves has to be at least 36 inches up the slope. Past about 6:12 a roof is not safe to walk without staging. The code panel on the roofing pages checks the first three against the edition you pick.