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Woodwork Calculator

Roof Pitch Calculator

Turn a rise and run, an angle, or an attic measurement into roof pitch. You get x/12, degrees, slope percent and the rafter multiplier, with the measurement drawn the way you'd take it.

Your numbers

What do you have?
in

Measured straight down from the level to the roof.

in

12″ is standard. Any run works; the result is scaled to 12.

Pitch—
Plate 06The pitch as you'd measure it: a level held flat with its end on the roof, then straight down 12 inches out.
Angle—
Slope—
Multiplier—

Full result

Pitch, exact—
Nearest 1/4 pitch—
Angle—
Slope—
Rise per foot of run—
Rafter per foot of run—
Rafter multiplier—

What this pitch means

  • Type—
  • Note—

How roof pitch is written

In the US, roof pitch is the number of inches the roof rises for every 12 inches it runs horizontally. A 6/12 roof (say "six in twelve") climbs 6 inches over each foot. On plans it's drawn as a small right triangle sitting on the roof line, with 12 on the level leg and the rise on the upright one, like the symbol in the top corner of the plate.

pitch = rise ÷ run × 12
angle = arctan(pitch ÷ 12)
slope % = pitch ÷ 12 × 100
multiplier = √(1 + (pitch ÷ 12)²)

Say you hold a level on a roof and measure 5 1/2″ straight down at the 12″ mark. That's a 5.5/12 pitch: 24.6°, a 45.8% slope, and a rafter multiplier of 1.100. Most roofs are framed to whole or half pitches, so if you measure something odd, measure again in another spot before you trust it.

How to measure pitch with a level and a tape

  1. Mark 12″ on a level. A 24″ level is best. Put a piece of tape at the 12″ mark.
  2. Put one end on the roof and hold it level. The end touches the roof on the uphill side; the level sticks out over the downhill side. Watch the bubble.
  3. Measure straight down at the mark. Keep the tape plumb from the 12″ mark to the roof surface. That number is your pitch.
  4. Check it twice. Shingle laps and sagging sheathing can throw you off by a quarter inch. Take a second reading a few feet away.

You can do the same thing from inside: hold the level against the bottom edge of a rafter in the attic. Rafter edges are straighter than a shingled surface, so the attic reading is often the better one.

Using the attic measurement

If you can get into the attic with a tape, measure the height from the top of the wall plate to the underside of the rafters at the ridge, and the building span outside wall to outside wall. Pitch is that height over half the span, scaled to 12. A 64″ rise over a 26′ building works out to 4.92/12, a hair under 5/12. Attic readings are rarely exact, so call it 5/12 and check with a level. Measure to the underside, because the depth of the rafter above that line would make the pitch read too high.

Roof pitch chart

Multiply the run by the multiplier to get the rafter length along the slope.

PitchAngleSlopeMultiplier
1/124.8°8.3%1.003
2/129.5°16.7%1.014
3/1214.0°25.0%1.031
4/1218.4°33.3%1.054
5/1222.6°41.7%1.083
6/1226.6°50.0%1.118
7/1230.3°58.3%1.158
8/1233.7°66.7%1.202
9/1236.9°75.0%1.250
10/1239.8°83.3%1.302
11/1242.5°91.7%1.357
12/1245.0°100.0%1.414

Pitch ranges and what they mean for the roof

Below 2/12, asphalt shingles aren't allowed under the IRC, and you're into membrane roofing. From 2/12 up to 4/12, shingles need a double layer of underlayment (IRC R905.2.2). Most houses fall between 4/12 and 9/12, which sheds water well. OSHA counts anything above 4/12 as a steep roof, so plan on a harness, and add roof jacks as the pitch climbs.

Got the pitch? The rafter calculator takes it from here: rafter length, plumb and seat cuts, and the birdsmouth.

Questions people ask

What is a 6/12 roof pitch in degrees?

26.6°. A 6/12 roof rises 6 inches for every 12 inches of run, a slope of 50%. Other common pitches: 4/12 is 18.4°, 8/12 is 33.7°, 10/12 is 39.8° and 12/12 is exactly 45°. The full chart is further down this page.

How do I measure roof pitch without getting on the roof?

From the attic: measure from the top of the wall plate straight up to the underside of the rafters at the ridge, and measure the building span wall to wall. Use the "Attic" mode. From the ground you can also hold a level against the end of a rafter tail at the eave, or measure the rake on a gable end with a pitch gauge app, but those are less exact.

What is the difference between roof pitch and roof slope?

People use them interchangeably. Strictly, pitch was once the rise divided by the full span, while slope is rise over run. Today almost everyone in the US means rise per 12 inches of run when they say pitch, written as 6/12 or "6 in 12". This calculator uses that meaning and also gives you the slope as a percent.

What is the minimum pitch for shingles?

Under the IRC, asphalt shingles can go on slopes of 2/12 or steeper. From 2/12 up to 4/12 they need double underlayment (IRC R905.2.2). Shingle makers set their own limits too, and their installation instructions are part of the warranty, so check the bundle.

What is a rafter multiplier?

It's how much longer the rafter is than its run: √(1 + (pitch ÷ 12)²). At 6/12 it's 1.118, so every foot of run takes 13.42 inches of rafter. Roofers use the same number to turn a flat footprint into roof area. The rafter calculator uses it for you.

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