Roof pitch reference
4/12 Roof Pitch
A 4/12 roof pitch rises 4 inches for every 12 inches of horizontal run. That is 18.43 degrees from level, a 33.3 percent grade, and a slope factor of 1.0541, which means every square foot of floor area underneath carries 1.0541 square feet of roof above it.
It is also the pitch at which an asphalt shingle roof stops being a special case in the building code, which is the part most pitch charts leave out.
| Rise over run | 4 in 12 |
|---|---|
| Angle | 18.43° |
| Grade | 33.3% |
| Slope factor (multiplier) | 1.0541 |
| Rafter per foot of run | 12.65 in |
| Roof area on a 1,700 sq ft footprint | 1,792 sq ft (17.9 squares) |
The geometry, and the one number you actually use
Pitch is written as rise over run, and the run is always 12. A 4/12 roof climbs 4 inches vertically across 12 inches measured horizontally. Convert that to an angle with the arctangent of 4 divided by 12, which gives 18.43 degrees. Express it as a percentage and it is 33.3 percent, because 4 is a third of 12.
The number that does real work is none of those. It is the slope factor, also called the pitch multiplier or roof pitch factor, and it comes from Pythagoras: the square root of 1 plus (rise over 12) squared. For a 4/12 that is 1.0541. Multiply the footprint your house covers on the ground by 1.0541 and you have the actual surface area a roofer has to cover.
The same figure gives rafter length. Every foot of horizontal run needs 12.65 inches of rafter to span it, before any overhang. That is why a rafter is always longer than the distance it crosses, and why ordering lumber off a floor plan comes up short.
Worked through on a real house: a 1,700 square foot footprint at 4/12 is about 1,792 square feet of roof, or 17.9 roofing squares. The extra 92 square feet is not a rounding allowance, it is slope, and you pay for it in material and labor both.
Why 4/12 is a threshold in the building code
This is the fact worth knowing about this pitch specifically, and it is the reason 4/12 turns up so often in plans.
Under IRC section R905.2.2, asphalt shingles may be used on slopes of 2:12 or greater. But from 2:12 up to 4:12, the code requires a double layer of underlayment. At 4:12 and above, a single layer is acceptable.
So 4/12 is the exact point where a shingle roof becomes an ordinary shingle roof. Below it you are building a low-slope assembly with extra waterproofing, because water moves slowly enough across a shallow roof that wind-driven rain can work back up under the courses. At 4/12 and steeper, gravity does enough of the work that the standard assembly holds.
The practical use of this is checking a quote. If your roof measures 3/12 and the estimate lists a single layer of underlayment, that is a code problem, not a preference, and it is worth raising before the work starts rather than after.
Every common roofing material clears its minimum at 4/12
Each material carries its own minimum slope in the IRC, and 4/12 sits above all of them. That is not true at 3/12 and it is emphatically not true at 2/12, which makes 4/12 the shallowest pitch where material choice is genuinely open.
Wood shakes have the highest bar of the common materials at 3:12. Clay and concrete tile sit at 2.5:12. Asphalt shingles are 2:12. Standing seam metal goes lowest of all, down to 0.25:12, because a continuous seam does not rely on slope to stay watertight the way a lapped course does.
The consequence is that at 4/12 nothing is ruled out on slope grounds, so the decision comes down to budget, weight and how long you intend to own the house. The shingle types guide covers the asphalt end of that, and the metal roof cost calculator prices the other.
What a 4/12 pitch does to the cost
Pitch drives cost two ways. First through area, because a steeper roof is a bigger roof over the same house, and that is pure arithmetic. Second through labor, because past a certain angle a crew needs staging and fall arrest and slows down. A 4/12 is affected by the first and almost untouched by the second.
The table below prices the same 1,700 square foot footprint at every common pitch, using this site's own material and labor data, including tear-off of one existing layer. Everything else is held constant, so the only thing moving is slope.
Read the gap between 4/12 and 6/12 carefully, because it is the comparison most homeowners are actually making. Going from 4/12 to 6/12 adds about 109 square feet of roof surface and roughly $353 at the low end. Real money, but a long way from the doubling people often assume. The jump that hurts is at the top of the table, where 12/12 adds over 600 square feet against the 4/12 and brings steep-slope labor with it.
| Pitch | Roof area | Estimated cost |
|---|---|---|
| 2/12 | 1,723 sq ft | $7,645 to $11,521 |
| 3/12 | 1,752 sq ft | $7,763 to $11,712 |
| 4/12this page | 1,792 sq ft | $8,144 to $12,295 |
| 5/12 | 1,842 sq ft | $8,292 to $12,502 |
| 6/12 | 1,901 sq ft | $8,497 to $12,795 |
| 8/12 | 2,043 sq ft | $9,427 to $14,153 |
| 12/12 | 2,404 sq ft | $10,911 to $16,326 |
Walking a 4/12, and why that keeps labor cheap
A 4/12 is comfortably walkable. An experienced roofer in proper footwear works on one standing up, carrying bundles, without roof jacks, without staging and without the surcharge that steeper work attracts. Most crews treat anything up to about 6/12 the same way.
That changes around 7/12 to 8/12, where footing stops being reliable and roof jacks or toe boards go on. Above 9/12 the roof needs staging and fall arrest as a matter of course, and the labor line on an estimate starts carrying a steep-slope premium that can run well above the extra area alone would justify.
Walkable is about footing, not about safety equipment, and federal workplace rules happen to draw their own line at exactly this pitch. OSHA 29 CFR 1926.500 defines a low-slope roof as 4 in 12 or less and a steep roof as anything above it. A crew on a low-slope roof 6 feet or more up may protect its edges with a warning line and a safety monitor; on a steep roof the options narrow to guardrails with toeboards, safety nets or personal fall arrest. A 4/12 is the steepest roof that still qualifies for the lighter set-up, which is part of why it bids cheaply.
This is the quiet reason 4/12 is so common in tract housing. It sheds water properly, it accepts any material, it needs no special underlayment, and a crew can work on it quickly. It is the cheapest pitch that is not a compromise.
How to check whether your roof is actually 4/12
You do not need to get on the roof. Hold a 12 inch level against the underside of a rafter in the attic, or against the roof edge from a ladder. Level it, then measure straight down from the far end of the level to the roof surface. That measurement in inches is your rise over a 12 inch run. Four inches means 4/12.
A phone inclinometer works too and gives you the angle directly, which you can convert back: 18.43 degrees is a 4/12. Measure in two or three places if the house has had work done, because additions frequently do not match the original roof.
The roof pitch calculator converts between rise, angle, grade and slope factor in either direction, and carries the full chart from 1/12 to 24/12 if your measurement lands somewhere other than a round number.
Put this to work