Roof Pitch Chart

Look up angle (°), slope %, pitch multiplier (slope factor), and hip/valley factor for every roof pitch from 1:12 to 24:12.

Roof Pitch & Slope Chart: 1:12 to 24:12 Reference Table

Search by pitch (e.g. 4/12), angle in degrees (e.g. 26.6°), slope %, or pitch factor (e.g. 1.118), or filter by slope category.

PitchAngleSlope %MultiplierAction
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
13:1247.3° 108.3%1.474
14:1249.4° 116.7%1.537
15:1251.3° 125.0%1.601
16:1253.1° 133.3%1.667
17:1254.8° 141.7%1.734
18:1256.3° 150.0%1.803
19:1257.7° 158.3%1.873
20:1259.0° 166.7%1.944
21:1260.3° 175.0%2.016
22:1261.4° 183.3%2.088
23:1262.4° 191.7%2.162
24:1263.4° 200.0%2.236

Baseline 0:12 (dead-flat) = 0.0° angle, 0.0% slope, 1.000 multiplier. Rafter (20ft) assumes a 20-foot building span (10-foot horizontal run per side). Multiplier = √(1 + (pitch/12)²), identical to slope factor and common pitch factor below.

How to Read the Roof Pitch Conversion & Comparison Chart

Each row converts a whole-inch X:12 (X/12) roof pitch into its horizontal angle in degrees, slope percentage, area multiplier, and a 20-foot span rafter benchmark.

What each column is

  • Pitch: Inches of rise per 12 inches of horizontal run. 6:12 rises 6 inches in every foot of run.
  • Angle: Degrees from horizontal, not the complementary cut on a speed square.
  • Slope %: (rise ÷ 12) × 100. A 6:12 pitch is 50% slope, not 26.6%.
  • Multiplier: Footprint × this number = sloped roof area. Same value as slope factor and pitch factor.
  • Rafter (20ft): Example for a 20-foot building span (10-foot run each side). It is not the length for your house.
  • Category / materials: A shorthand class and typical products for that pitch. Confirm with the manufacturer and local code.

Check a 6:12 row

6:12 is 26.6° from horizontal, 50% slope, multiplier 1.118. A 1,000 sq ft footprint needs about 1,118 sq ft of roofing. The 20-foot example rafter is 22.4 ft.

When this chart is the wrong tool

Roof Pitch Multiplier Chart

The pitch multiplier converts a flat plan-view area into the true sloped roof surface area. It's the single most useful number on this chart for ordering materials.

Pitch multiplier = √(1 + (pitch / 12)²). A flat 0:12 roof has a multiplier of 1.000 — every square foot of footprint equals one square foot of roof. As pitch rises, the multiplier grows because the same footprint covers a longer sloped surface.

Common residential multipliers to remember: 4/12 = 1.054 (5.4% extra area), 6/12 = 1.118 (11.8% extra area — a 1,000 sq ft footprint needs 1,118 sq ft of roofing), 8/12 = 1.202 (20.2% extra), and 12/12 (45°) = 1.414 (41.4% extra material).

To convert your plan footprint into roofing squares (1 square = 100 sq ft): Roofing Squares = (Footprint sq ft × Pitch Multiplier) ÷ 100, then add 10%–15% for starter courses, ridge caps, and cutting waste.

Pitch (X:12)Multiplier1,000 sq ft → Roof Area
1 : 121.0031003 sq ft
2 : 121.0141014 sq ft
3 : 121.0311031 sq ft
4 : 121.0541054 sq ft
5 : 121.0831083 sq ft
6 : 121.1181118 sq ft
7 : 121.1581158 sq ft
8 : 121.2021202 sq ft
9 : 121.2501250 sq ft
10 : 121.3021302 sq ft
11 : 121.3571357 sq ft
12 : 121.4141414 sq ft

Multiplier values rounded to 3 decimals. Example column assumes a 1,000 sq ft building footprint; multiply by your actual footprint to estimate true roof area.

Slope Factor Chart — Same Number, Different Name

Slope factor and pitch multiplier are the same value expressed in different industry vocabularies. Roofers, framers, and material suppliers may call it either — knowing both prevents costly miscommunication on quotes.

Slope factor = √(1 + (pitch / 12)²) — identical formula to pitch multiplier. Roofing manufacturers and shingle bundle calculators typically use "slope factor"; framing carpenters and rafter tables often say "pitch multiplier". They are interchangeable.

Some material suppliers also express slope factor as a percentage of the flat plan area added by the slope. A 6:12 pitch with factor 1.118 means roof area is 11.8% larger than the footprint; a 12:12 pitch (factor 1.414) means 41.4% larger.

The table below shows slope factor as both a decimal and as the percentage of extra material needed compared to a flat roof of the same footprint.

Pitch (X:12)Slope FactorExtra Material vs Flat
1 : 121.0030.3%
2 : 121.0141.4%
3 : 121.0313.1%
4 : 121.0545.4%
5 : 121.0838.3%
6 : 121.11811.8%
7 : 121.15815.8%
8 : 121.20220.2%
9 : 121.25025.0%
10 : 121.30230.2%
11 : 121.35735.7%
12 : 121.41441.4%

Slope factor is dimensionless. Extra Material % = (slope factor − 1) × 100, rounded to one decimal. Use this when comparing supplier quotes that mix vocabularies.

Roof Pitch Factor Chart: Common, Hip & Valley Factors

"Roof pitch factor" is the estimator's name for the multiplier above — but a full pitch factor chart adds a second column roofers need: the hip and valley factor for diagonal rafters. Here is the complete table from 1/12 to 24/12.

The roof pitch factor converts a flat, plan-view measurement into the true length along the slope: pitch factor = √(1 + (pitch ÷ 12)²). It is the exact same number as the pitch multiplier and slope factor above — estimating guides and takeoff software simply prefer the word "factor".

For example, the 8/12 pitch factor is 1.202. A wall-to-ridge plan distance of 20 ft means 20 × 1.202 ≈ 24 ft of actual slope length, and a 1,000 sq ft footprint needs about 1,202 sq ft of roofing material.

The hip & valley factor does the same job for the diagonal rafters of a hip roof: hip/valley factor = √(2 + (pitch ÷ 12)²). Multiply it by the common rafter's horizontal run to get the hip or valley rafter length.

Pitch (X:12)Pitch FactorHip & Valley Factor
1 : 121.0031.417
2 : 121.0141.424
3 : 121.0311.436
4 : 121.0541.453
5 : 121.0831.474
6 : 121.1181.500
7 : 121.1581.530
8 : 121.2021.563
9 : 121.2501.601
10 : 121.3021.641
11 : 121.3571.685
12 : 121.4141.732
13 : 121.4741.781
14 : 121.5371.833
15 : 121.6011.887
16 : 121.6671.944
17 : 121.7342.002
18 : 121.8032.062
19 : 121.8732.123
20 : 121.9442.186
21 : 122.0162.250
22 : 122.0882.315
23 : 122.1622.382
24 : 122.2362.449

Both factors are per foot of horizontal run, rounded to 3 decimals. Pitch factor = √(1 + (pitch/12)²); hip & valley factor = √(2 + (pitch/12)²). The pitch factor column matches the multiplier and slope factor tables above — same number, estimator vocabulary.

Roof Pitch Diagram & Common Roof Pitches Explained (1/12 to 24/12)

Compare the five roof slope classes on the profile diagrams below, then review the breakdown of the most common residential and commercial pitches from 1/12 to 24/12.

Flat Roof0–2:12 (0–9.5°)

Near-level roofs that allow rooftop access and HVAC placement. Require membrane waterproofing systems rated for ponding water.

Commercial buildings, modern homes, garages
TPO, EPDM, Modified Bitumen, BUR
Low Slope2–4:12 (9.5–18.4°)

Gentle slopes common in ranch-style homes. Offer a balance between modern aesthetics and basic water drainage.

Ranch homes, sheds, lean-to additions
Standing Seam Metal, Shingles (with underlayment)
Standard4–9:12 (18.4–36.9°)

The most popular range for residential construction. Balances drainage performance, material compatibility, cost, and walkability.

Most residential homes, colonial, Cape Cod
Asphalt Shingles, Metal, Clay Tile
Steep9–12:12 (36.9–45°)

High-pitched roofs that excel at shedding snow and rain rapidly. Difficult to walk on — professional installation required.

Tudor style, Victorian, snow country homes
Slate, Wood Shakes, Premium Shingles
Very Steep12+:12 (45°+)

Extreme pitches used for dramatic architectural statements. Requires specialized roofing equipment and safety measures.

A-frames, mansard roofs, church steeples
Slate, Standing Seam Metal, Specialty Tile

Common Roof Pitches: Angles, Pitch Factors & Typical Uses

Quick engineering reference for the most-searched X/12 roof pitches, degree equivalents (15°, 30°, 45°), and slope factors:

1/12 & 2/12 Roof Pitch

4.8°–9.5° · 8.3%–16.7% · Factor 1.003–1.014

1/12 (4.8°) requires single-ply membranes (TPO/EPDM) or standing-seam metal. 2/12 (9.5°) is the absolute minimum pitch for asphalt shingles under IRC R905.2.2 and requires a double-layer underlayment.

3/12 Roof Pitch (~15° Roof)

14.0° · 25.0% slope · Factor 1.031

Common on porch covers, carports, and lean-to shed additions. Sits just below 15° (an exact 15° roof is 3.22:12). Shingles on a 3/12 roof still require special low-slope underlayment per IRC R905.2.2.

4/12 Roof Pitch

18.4° · 33.3% slope · Factor 1.054

The standard minimum pitch for single-layer asphalt shingle underlayment, clay/concrete tile, and wood shakes. Widely used on ranch houses, garages, and low-profile suburban homes.

5/12 Roof Pitch

22.6° · 41.7% slope · Factor 1.083

Comfortable walking slope for roofers without steep-slope staging. Popular on contemporary gables, craftsman bungalows, and patio roofs where moderate attic clearance is needed.

6/12 Roof Pitch

26.6° · 50.0% slope · Factor 1.118

The benchmark US residential roof pitch. Rises half an inch per inch of run (50% slope), adds 11.8% to flat footprint area, and balances snow shedding, attic headroom, and walkable installation.

7/12 (~30° Roof) & 8/12 Pitch

30.3°–33.7° · 58.3%–66.7% · Factor 1.158–1.202

7/12 (30.3°) is the closest whole-inch match to a 30° roof pitch and marks the threshold where roofers transition to toe boards and harnesses. 8/12 (33.7°, factor 1.202) is classic on colonial and custom homes.

9/12 & 10/12 Roof Pitch

36.9°–39.8° · 75.0%–83.3% · Factor 1.250–1.302

Steep architectural pitches (9/12 has an exact 1.250 3-4-5 triangle multiplier) used on Cape Cod, Tudor, and high-snowfall roofs to shed heavy snow loads and create vaulted attic rooms.

12/12 Roof Pitch (45° Roof)

45.0° · 100.0% slope · Factor 1.414

Vertical rise equals horizontal run (exact 45° angle). Requires 41.4% more roofing material than the flat footprint (√2 = 1.414) and full steep-slope safety rigging.

14/12 to 24/12 Roof Pitch

49.4°–63.4° · 116.7%–200% · Factor 1.537–2.236

Very steep specialty framing: 14/12 (49.4°), 16/12 (53.1°), 18/12 (56.3°), up to 24/12 (63.4° angle, 2.236 multiplier). Reserved for A-frame cabins, Victorian turrets, mansards, and church steeples.

You have a row. What next?

Write the numbers down, or leave this page if you need a calculation this table does not do.

  • Pitch, angle, slope percent, and multiplier are on the row. The 1,000 sq ft examples in the multiplier tables show how that number turns a footprint into roof area.
  • To run the same pitch with your own span or area, use the roof slope calculator.
  • To calculate exact common rafter length with building span, ridge board deduction, and eave overhang, use the rafter length calculator.
  • Framing a single-slope shed, porch, or addition? Calculate high-wall and low-wall drop on the lean-to roof pitch calculator.
  • If you do not have a pitch yet, measure roof pitch first, then look the value up here.
  • To convert an angle or percent into X:12, use the pitch to degrees converter.
  • A low-slope drainage fall in inches or millimeters is a different job. Use the flat roof slope calculator.
  • Estimating roofing squares or shingle bundles? Multiply your flat building footprint (sq ft) by the row's Pitch Multiplier, divide by 100 to get roofing squares, and add 10%–15% for waste.

Roof Pitch Chart & Pitch Factor FAQ