Roof Pitch Chart & Diagram (1/12–24/12)
Quick reference for 1/12–24/12. Includes angle (°), slope %, pitch multiplier, and hip/valley multiplier. Printable and downloadable as CSV.
| Pitch (in/12) | Angle (°) | Slope (%) | Pitch Mult. | Hip/Valley Mult. |
|---|
Values are mathematical conversions. Verify with local codes and manufacturer specs.
Roof Pitch Diagram (12″ Run)
Toggle density and print with the chart.
How to Read the Roof Pitch Chart
Roof pitch describes the amount of rise for every 12 inches of run. For example, a 6/12 roof rises 6 inches for every 12 inches of horizontal run. The table above converts each pitch to angle (degrees), slope percent, and two useful factors: the pitch multiplier (for rafter length and sloped area) and the hip/valley multiplier (for 45° hips and valleys).
Common Roof Pitches
- 4/12 – 6/12: Most common on homes; walkable with caution.
- 8/12 – 12/12: Steep; requires safety gear and staging.
- 2/12 – 3/12: Low slope; verify material suitability and underlayment requirements.
Formulas Used
If p = rise / run, then:
- Angle (°):
atan(p) × 180 / π - Slope %:
p × 100 - Pitch Multiplier:
√(1 + p²)(converts plan length/area to sloped) - Hip/Valley Multiplier:
√(2 + p²)(per foot of plan run at 45°)
Quick Example
For a 7/12 roof: p = 7/12 = 0.5833. Angle ≈ 30.26°, Slope ≈ 58.33%,
Pitch Multiplier ≈ 1.1619, Hip/Valley ≈ 1.6660.
Related Tools
Need a full estimate? Try the Roof Area Calculator, Shingle Bundles Estimator, and Roofing Nails Estimator.
Always follow local codes and manufacturer instructions. Steep-slope work requires fall protection and qualified installers.
Roof Pitch Chart – FAQs
What is the most common roof pitch?
In residential construction, 4/12 to 6/12 is most common. These are workable slopes with good water shedding.
How do I convert pitch to degrees?
Use angle = atan(rise/run) × 180/π. The table above lists the angle for each 1/12 increment.
What is a pitch multiplier?
It’s the factor to convert plan length or area to the sloped length/area of a roof surface: √(1 + (rise/run)²).
Do I use the hip/valley multiplier for all roofs?
Use it when estimating material along 45° hips/valleys. Check plan geometry and manufacturer guidelines.