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RooferMath

Roof Pitch Chart: Angle, Slope Factor & Grade for 1/12 to 24/12

The full roof pitch reference table from 1/12 to 24/12, plus a live pitch calculator with a redrawing roof diagram. Every value is computed from the rise/run triangle, not looked up.

Pitch geometry is arithmetic. Rafter spans and structural load are a different question: size structural members with a licensed professional and your local code. This page does not cover span or load tables.

Edit rise or run to compute forward. Edit angle to solve backward for rise (rise = tan(angle) × run).

Angle

18.43°

Slope factor

1.054

Grade

33.33%

Rafter length

12.649

Roof diagram (redraws live)

Roof pitch triangle diagram 4/12 18.43° rafter 12.649

Run drawn horizontal, rise vertical, rafter as the hypotenuse. The eave angle is marked where the rafter meets the run.

How to read the roof pitch chart

The table below lists every whole-inch roof pitch from 1/12 up to 24/12, with run held fixed at 12 (the industry-standard denominator). Each row is generated at build time from three formulas applied to that rise-and-run pair, so the same math you can run on a calculator by hand is what produced every cell. Pitch is the rise-over-run ratio written as a fraction of 12, angle is that ratio converted to degrees, slope factor is the multiplier from flat area to sloped roof area, and grade is the same ratio expressed as a percentage instead of a fraction.

Use the filter box above the table to jump straight to a pitch. Typing a number matches any pitch whose rise starts with those digits, so typing 6 surfaces 6/12 (and 6/12 alone, since no other rise between 1 and 24 starts with a lone 6 followed by nothing). Typing 1 surfaces 1/12 plus every pitch from 10/12 through 19/12, since those risers all start with the digit 1.

What slope factor actually is, and why it is the useful number

A flat ceiling plane and the roof plane above it cover the same horizontal footprint, but the roof plane is longer because it is tilted. Slope factor is exactly that ratio: the length of the sloped surface divided by the length of the flat run underneath it, which by the Pythagorean theorem is the square root of rise squared plus run squared, divided by run. Multiply a building's flat footprint area by the slope factor for its pitch and the result is the true sloped roof area, which is the number that actually determines how many bundles of shingles, how many rolls of underlayment, and how many sheets of decking a job needs. Estimating material off the footprint alone instead of the slope-corrected area is a common source of running short mid-job, and the error grows fast as pitch increases; at 4/12 the correction is only about 5%, but by 12/12 it is a full 41%, and by 24/12 it is well over double the flat area.

Measuring pitch on site with a level and a tape

You do not need to climb onto a roof surface to find its pitch. Hold a torpedo level (or any straight edge) horizontal against the underside of a rafter, ideally from inside the attic where it is safer and the framing is exposed. Extend the level out exactly 12 inches from a fixed point, keeping it level, then measure straight down from the 12 inch mark to the rafter's bottom edge with a tape measure. That vertical distance in inches is the rise, and the pitch is that number over 12. A 5 inch gap at the 12 inch mark is a 5/12 pitch. The same technique works from outside using a rafter square (a speed square) hooked over the fascia or a rake edge, reading the pitch directly off the square's built-in degree and pitch scale.

Where each column gets used on a real job

The pitch fraction itself (4/12, 6/12, and so on) is the number contractors, inspectors, and manufacturer spec sheets all reference, since it is the plain-language way pitch gets communicated on a job site or a permit. Angle in degrees matters for framing calculations, rafter cut angles, and anywhere a saw or a speed square needs a degree setting rather than a ratio. Slope factor is the material takeoff number, converting footprint or attic-floor area into actual roof area for shingles, underlayment, decking, and paint or coating coverage. Grade percentage shows up in civil and drainage contexts and on some manufacturer minimum-slope specifications, since it expresses the same ratio in the percent format those documents use.

Common pitches and what they signal

Pitches from about 2/12 to 4/12 are considered low-slope; many asphalt shingle products set a minimum installable pitch in this range and below it you typically need a membrane or low-slope roofing system instead. From roughly 4/12 to 9/12 covers most standard residential roofs, walkable with reasonable care and compatible with the widest range of roofing materials. Above about 9/12 to 12/12 pitches are steep-slope, usually requiring roof jacks, staging, or fall protection to work on safely, and they show up on traditional or high-style architectural roofs. Beyond 12/12 pitches are unusual outside of specific architectural styles (like steep Gothic or A-frame designs) and involve specialty framing and access considerations well past what this chart covers.

Frequently asked questions

What does a 6/12 roof pitch mean?

A 6/12 pitch means the roof rises 6 inches for every 12 inches (1 foot) of horizontal run. That works out to a 26.57 degree angle from horizontal, a slope factor of about 1.118, and a 50% grade. It is one of the most common residential pitches because it sheds water well without being difficult to walk on.

How do you calculate roof pitch from rise and run?

Divide the rise by the run and express it as a ratio out of 12, for example a rise of 4 inches over a 12 inch run is a 4/12 pitch. The angle in degrees is the arctangent of rise divided by run, converted from radians to degrees. Both numbers use the same units, so the ratio is unitless.

What is slope factor and why does it matter?

Slope factor is the multiplier that converts a flat footprint (or ceiling) area into actual roof surface area, because a sloped plane is always longer than the flat area it covers. It is the hypotenuse-to-run ratio: sqrt(rise squared plus run squared) divided by run. Multiply your footprint square footage by the slope factor for the pitch to get the true roof area for material takeoff.

How do I measure the pitch of an existing roof?

Hold a torpedo level horizontal against the underside of the roof deck or rafter, extend it out 12 inches, and measure the vertical gap from the level to the roof surface at that 12 inch mark with a tape measure. That vertical measurement in inches is your rise, and the pitch is that number over 12, for example a 4 inch gap is a 4/12 pitch. Doing this from inside an attic against a rafter is usually easier and safer than measuring on the roof surface itself.

What roof pitch is considered too steep to walk on safely?

Pitches above roughly 6/12 to 7/12 (about 27 to 30 degrees) are generally considered too steep to walk without fall protection, and most roofers switch to harnesses, roof jacks, or staging above that range. Anything approaching 12/12 (45 degrees) or steeper is a specialty steep-slope job. This chart shows the geometry only; it is not a safety or structural rating.

Can low-slope roofs use regular asphalt shingles?

Most asphalt shingle manufacturers set a minimum installable pitch around 2/12 to 4/12, and anything below 2/12 to 3/12 typically needs a membrane or low-slope roofing system instead, because shingles rely on gravity and overlap to shed water. Always check the specific manufacturer installation instructions for the minimum pitch rating, since it varies by product.

Related tools

Roof Pitch CalculatorRafter Length CalculatorRoof Area CalculatorHip & Valley Rafter CalculatorShingle Squares & Bundles Calculator

Full pitch chart (1/12 to 24/12)

Pitch Angle Slope factor Grade
1/12 4.76° 1.003 8.33%
2/12 9.46° 1.014 16.67%
3/12 14.04° 1.031 25.00%
4/12 18.43° 1.054 33.33%
5/12 22.62° 1.083 41.67%
6/12 26.57° 1.118 50.00%
7/12 30.26° 1.158 58.33%
8/12 33.69° 1.202 66.67%
9/12 36.87° 1.250 75.00%
10/12 39.81° 1.302 83.33%
11/12 42.51° 1.357 91.67%
12/12 45.00° 1.414 100.00%
13/12 47.29° 1.474 108.33%
14/12 49.40° 1.537 116.67%
15/12 51.34° 1.601 125.00%
16/12 53.13° 1.667 133.33%
17/12 54.78° 1.734 141.67%
18/12 56.31° 1.803 150.00%
19/12 57.72° 1.873 158.33%
20/12 59.04° 1.944 166.67%
21/12 60.26° 2.016 175.00%
22/12 61.39° 2.088 183.33%
23/12 62.45° 2.162 191.67%
24/12 63.43° 2.236 200.00%