Rafter Pitch Calculator

Convert between roof pitch ratio, degrees, and percentage. Enter rise and run to calculate pitch in all common formats.

Common Pitch Presets
in
in
ft
in
ft
Pitch Ratio
6.0:12
Rise per 12 inches of horizontal run
Roof Angle
26.57°
Angle from horizontal
Slope Percentage
50.0%
Rise ÷ run × 100
Slope Factor
1.1180
Multiplier for calculating true rafter length
Rafter Length
14.53 ft
Run of 13.00 ft × slope factor 1.1180
Ridge Height
6.00 ft
Height from top plate to ridge board
Material Suitability
All standard roofing materials
All standard roofing materials
Walkability
Moderate — use caution
Moderate — use caution

Lumber Estimate

Rafter Pairs
25
At 16″ on-center along 32 ft ridge
Total Rafters
50
25 pairs × 2 sides
Total Linear Feet
727 ft
50 rafters × 14.53 ft each
Estimated Lumber Cost
$981.07
2x8 at $1.35/linear ft
Birdsmouth Depth
2.5″
Seat cut depth at the wall plate
Roof Angle
60°
26.6° — Standard

Pitch & Material Compatibility

PitchAngleRoofing MaterialsWalkableTypical Style
1:124.8°Built-up / membrane onlyYesFlat / commercial
2:129.5°Rolled roofing, membraneYesLow slope, porch
3:1214.0°Metal panels, limited shinglesYesRanch, shed roof
4:1218.4°Asphalt shingles, metalYesStandard residential
5:1222.6°All standard materialsYesStandard residential
6:1226.6°All standard materialsModerateColonial, Cape Cod
8:1233.7°All; extra fastenersDifficultTudor, Gothic
10:1239.8°Specialty install requiredNoA-frame, chalet
12:1245.0°Specialty install requiredNoSteep accent, steeple
Planning notes, formulas, and examples

About the Rafter Pitch Calculator

Roof pitch describes the steepness of a roof and is expressed in several ways: as a ratio (rise:run), in degrees, or as a percentage. Converting between these formats is a common task for roofers, framers, architects, and homeowners evaluating roofing options.

This rafter pitch calculator lets you enter the rise and run of your roof in any units and quickly converts to all three pitch expressions. It also tells you whether the pitch qualifies for various roofing materials—some shingles require a minimum 4:12 pitch, while metal roofing can go as low as 1:12.

Understanding pitch is crucial for material selection, drainage, snow load, aesthetics, and walkability. A 4:12 roof is walkable for most people, while anything above 8:12 typically requires roof brackets or scaffolding for safe work.

When This Page Helps

Pitch is expressed differently by roofers (rise:12), engineers (degrees), and grading contractors (percentage). This calculator bridges all three formats quickly so everyone's on the same page, and it flags material compatibility.

How to Use the Inputs

  1. Enter the rise (vertical height) in any unit (inches or feet).
  2. Enter the run (horizontal distance) in the same unit.
  3. Read the pitch as a ratio (X:12), degrees, and percentage.
  4. Check the material compatibility guidance for your calculated pitch.
  5. Alternatively, enter a known pitch ratio to see degrees and percentage.
Formula used
Pitch Ratio = Rise / Run × 12 (expressed as X:12) Angle (degrees) = arctan(Rise / Run) × 180 / π Slope % = (Rise / Run) × 100

Example Calculation

Result: 6:12 pitch = 26.57° = 50.0%

A rise of 6 over a run of 12 gives a 6:12 pitch. The angle is arctan(6/12) = 26.57 degrees. As a percentage, 6/12 × 100 = 50%. This is a medium pitch suitable for most roofing materials.

Tips & Best Practices

  • Standard architectural shingles require a minimum 4:12 pitch (18.4°).
  • Low-slope roofing (below 2:12) requires membrane or built-up roofing systems.
  • Metal roofing can be installed as low as 1:12 with proper sealant at seams.
  • Pitches above 8:12 are considered steep and require safety equipment for roof work.
  • Measure rise and run in the same units—mixing inches and feet is the most common error.
  • For existing roofs, measure by placing a level on the roof, going 12″ horizontal, and measuring the vertical rise.

Pitch, Slope, and Grade

While often used interchangeably, these terms have distinct meanings. Pitch was historically the ratio of rise to full span (not run). Modern usage equates pitch with slope as rise per 12 inches of run. Grade is the slope expressed as a percentage and is more common in road and site work than roofing.

Pitch and Snow Load

Steeper roofs shed snow more effectively, reducing snow accumulation loads. Building codes in heavy snow regions may require steeper minimum pitches or increased structural capacity for low-slope roofs. A roof steeper than about 70° (roughly 28:12) sheds snow almost immediately.

Pitch and Attic Space

Higher pitches create more usable attic space. A 12:12 pitch creates a 45° attic that can be finished as living space, while a 4:12 pitch provides only a cramped crawl space for storage and mechanical equipment.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • A 4:12 pitch equals arctan(4/12) = 18.43 degrees. This is considered a moderate slope and is the minimum pitch for most asphalt shingle installations.