An 8/12 pitch rises 8 inches for every 12 inches of run: 33.69° (a 66.7% grade), with a slope multiplier of 1.202.
(14 ft run + 1 ft overhang) × 1.202. Measured along the top edge; deduct half the ridge-board thickness and allow for the plumb and tail cuts when you lay out the board.
| Roofing | Minimum | Here |
|---|---|---|
| Asphalt shingles | 2/12 | Yes |
| 36-in rib panel (maker) | 2.5/12 | Yes |
| Lapped metal, no sealant (IRC) | 3/12 | Yes |
| Lapped metal with lap sealant | 0.5/12 | Yes |
| Standing seam metal | 0.25/12 | Yes |
| Pitch | Angle | Slope factor | Hip factor |
|---|---|---|---|
| 1/12 | 4.76° | 1.003 | 1.417 |
| 2/12 | 9.46° | 1.014 | 1.424 |
| 3/12 | 14.04° | 1.031 | 1.436 |
| 4/12 | 18.43° | 1.054 | 1.453 |
| 5/12 | 22.62° | 1.083 | 1.474 |
| 6/12 | 26.57° | 1.118 | 1.5 |
| 7/12 | 30.26° | 1.158 | 1.53 |
| 8/12 | 33.69° | 1.202 | 1.563 |
| 9/12 | 36.87° | 1.25 | 1.601 |
| 10/12 | 39.81° | 1.302 | 1.641 |
| 11/12 | 42.51° | 1.357 | 1.685 |
| 12/12 | 45° | 1.414 | 1.732 |
| 14/12 | 49.4° | 1.537 | 1.833 |
| 16/12 | 53.13° | 1.667 | 1.944 |
| 18/12 | 56.31° | 1.803 | 2.062 |
| 24/12 | 63.43° | 2.236 | 2.449 |
| Pitch | Angle | Grade | Multiplier | Hip/valley |
|---|---|---|---|---|
| 6/12 | 26.57° | 50% | 1.118 | 1.5 |
| 7/12 | 30.26° | 58.3% | 1.158 | 1.53 |
| 8/12 | 33.69° | 66.7% | 1.202 | 1.563 |
| 9/12 | 36.87° | 75% | 1.25 | 1.601 |
| 10/12 | 39.81° | 83.3% | 1.302 | 1.641 |
Angle = arctan(8 ÷ 12) = 33.69°. Slope multiplier = √(1 + (8 ÷ 12)²) = 1.2019. Hip/valley factor = √(2 + (8 ÷ 12)²) = 1.5635, applied to half the building width.
Rafter length is (half the span + the level overhang) × 1.202: for a 28-ft span with a 1-ft overhang, (14 + 1) × 1.202 = 18.03 ft, measured along the top edge before the ridge-board deduction and tail cuts.
The full method, material data and tips are on the main roof pitch calculator page.