Roof pitch chart

13/12 Roof Pitch

13 inches of rise per 12 inches of run: 47.3°, a steep roof.

121347.3°
Angle
47.29°
Slope
108.3%
Rafter factor
1.4743
Type
Steep

What a 13/12 pitch means

A 13/12 roof rises 13 inches for every 12 inches it runs horizontally, which is an angle of 47.29° from level and a 108.3% slope. It is a steep roof, too steep to walk safely without roof jacks or a harness.

Roofing for a 13/12 roof

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.

Rise and rafter length at 13/12

For a gable roof, the run is half the building width. Rafter lengths are before the ridge deduction and overhang.

RunBuilding widthRiseRafter length
4 ft8 ft4' 4"5' 10 3/4"
6 ft12 ft6' 6"8' 10 1/8"
8 ft16 ft8' 8"11' 9 9/16"
10 ft20 ft10' 10"14' 8 15/16"
12 ft24 ft13'17' 8 5/16"
14 ft28 ft15' 2"20' 7 11/16"
16 ft32 ft17' 4"23' 7 1/16"
20 ft40 ft21' 8"29' 5 13/16"

Roof area at 13/12

Multiply the building footprint (including the overhangs) by 1.474 to get the roof surface. A 30 × 40 ft footprint has 1769 sq ft of roof at 13/12 — about 56 sheets of 4 × 8 sheathing before waste.

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Frequently asked questions

What angle is a 13/12 roof pitch?

47.29°. The angle is arctan(13 ÷ 12).

What is a 13/12 pitch as a percentage?

108.3% — 13 inches of rise for every 12 inches (108.3 per 100) of run.

How much does a 13/12 roof rise?

13" for every foot of run. Over 12 ft of run — half of a 24 ft wide building — it rises 13'.

What is the rafter factor for a 13/12 pitch?

1.4743. Multiply the horizontal run by it for the rafter length: 12 ft of run takes a 17' 8 5/16" rafter, before the overhang.

What roofing can go on a 13/12 roof?

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.