Roofs

4/12 roof pitch

A 4/12 roof pitch rises 4 in for every 12 in of run: 18.43°, a 33.3% slope, and each foot of run needs 12.65 in of rafter (multiplier 1.054). It is the lowest pitch where asphalt shingles need only one layer of underlayment.

Framing Calculators editorial teamUpdated 2 sources

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Pitch converter

Set any rise and run to compare with 4/12.

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Type lengths the way you read a tape: 8' 9", 7 3/4 or 7.75. Metric: 2667 mm or 2.667 m.

run 12rise 418.4°×1.054
Pitch4/124 in per foot
Angle18.43°
Slope33.3%

Conversions

Ratio
1 : 3
Rafter factor
1.0541rafter length per unit of run
Hip/valley factor
1.453hip length per unit of common run
Ridge height above the plates
4′ 0″for a 24′ 0″ wide building
Rafter line length
12′ 7-13/16″wall line to ridge centre, no overhang

Roofing allowed at this pitch (IRC R905)

  • Asphalt shingles: min 2/12
  • Clay or concrete tile: min 2.5/12
  • Metal roof shingles: min 3/12
  • Wood shingles or shakes: min 3/12
  • Slate: min 4/12
  • Mineral-surfaced roll roofing: min 1/12
  • Standing-seam metal panels: min 0.25/12
  • Lapped metal panels, no sealant: min 3/12
  • Lapped metal panels with sealant: min 0.5/12
  • Built-up, modified bitumen, single-ply: min 0.25/12

Common pitches

PitchAngleSlopeFactor
1/124.8°8%1.003
2/129.5°17%1.014
3/1214°25%1.031
4/1218.4°33%1.054
5/1222.6°42%1.083
6/1226.6°50%1.118
7/1230.3°58%1.158

4/12 roof pitch in degrees and slope

A 4/12 pitch is 18.43° from level, a 33.3% grade and a 1:3 ratio. The rafter multiplier, √(1 + (4/12)²) = 1.0541, turns level run into rafter length and plan area into roof area.

3/12 · 14.0°4/12 · 18.4°6/12 · 26.6°8/12 · 33.7°12/12 · 45.0°
Common pitches on the same run; 4/12 highlighted.

4/12, 6/12, 8/12 and 12/12 compared

Common roof pitches
PitchDegreesSlopeRafter multiplierRafter per ft of runHip per ft of run
4/1218.43°33.3%1.054112.65 in17.44 in
6/1226.57°50%1.11813.42 in18 in
8/1233.69°66.7%1.201914.42 in18.76 in
12/1245°100%1.414216.97 in20.78 in
  • 6/12 roof pitch: 26.57°, rises 6 in per foot; a common house pitch.
  • 8/12 roof pitch: 33.69°; steeper roofs shed snow faster but need more roof area per footprint.
  • 12/12 roof pitch: 45°, rise equals run; the rafter multiplier is 1.414.

What roofing works on a 4/12 roof?

Every covering in the IRC list is allowed at 4/12. It is above the 2/12 minimum for asphalt shingles and the 2-1/2/12 minimum for clay or concrete tile, and it is exactly where both stop needing double underlayment. It also meets the 3/12 minimum for metal and wood shingles and the 4/12 minimum for slate[1].

Roofing allowed at 4/12 (IRC 2021 R905)
CoveringMinimum pitchAt 4/12
Asphalt shingles2/12allowed
Clay or concrete tile2.5/12allowed
Metal roof shingles3/12allowed
Wood shingles or shakes3/12allowed
Slate4/12allowed
Mineral-surfaced roll roofing1/12allowed
Standing-seam metal panels0.25/12allowed
Lapped metal panels, no sealant3/12allowed
Lapped metal panels with sealant0.5/12allowed
Built-up, modified bitumen, single-ply0.25/12allowed

Framing a 4/12 roof

At 4/12 a 24 ft wide gable rises 4′ 0″ to the ridge line, which leaves a low attic. Ridges, hips and valleys need beam design only below 3/12[2]. Size the rafters with the rafter calculator, count squares with the roof calculator and convert any other pitch with the roof pitch calculator.

Frequently asked questions

What angle is a 4/12 roof pitch?

18.43 degrees.

Is a 4/12 roof pitch good for shingles?

Yes. Asphalt shingles are allowed from 2/12, and at 4/12 and above the IRC no longer requires double underlayment.

What is a 6/12 roof pitch in degrees?

26.57 degrees, a 50% slope.

What is the multiplier for a 12/12 roof?

1.414 (the square root of 2): every foot of run needs 16.97 in of rafter.

What angle is an 8/12 roof pitch?

33.69 degrees, a 66.7% slope with a rafter multiplier of 1.202.

What is a 12/12 roof pitch?

A 45° roof that rises 12 in for every 12 in of run, a 100% slope; its rafters are 1.414 times the run.

Sources

  1. 2021 International Residential Code, Chapter 9: Roof Assemblies (R905 minimum slopes) · International Code Council, accessed November 13, 2026
  2. 2021 International Residential Code, Chapter 8: Roof-Ceiling Construction (R802 rafters) · International Code Council, accessed November 13, 2026