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Roof pitch chart: degrees, slope and rafter length

Pitch is the rise in inches per foot of run: a 6/12 roof climbs 6" per foot. The chart gives the angle, slope and rafter length from 1/12 to 24/12.

Free to print. No sign-up. US Letter, 1 page.

The numbers come from the Construction Calculator app
12" run 6" rise 26.6° ≈ 13-7/16" of rafter
A 6/12 pitch: 6" of rise for every 12" of run, a 50% slope. Printable chart

Common pitches

Roof pitch to degrees, slope and rafter length, 1/12 to 24/12

Common sizes are marked

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PitchAngle (plumb cut)Seat cutSlopeRafter per foot of runMultiplier
1/124.8°85.2°8.3%≈ 12-1/16"1.0035
2/129.5°80.5°16.7%≈ 12-3/16"1.0138
3/1214°76°25%≈ 12-3/8"1.0308
4/1218.4°71.6°33.3%≈ 12-5/8"1.0541
5/1222.6°67.4°41.7%13"1.0833
6/1226.6°63.4°50%≈ 13-7/16"1.118
7/1230.3°59.7°58.3%≈ 13-7/8"1.1577
8/1233.7°56.3°66.7%≈ 14-7/16"1.2019
9/1236.9°53.1°75%15"1.25
10/1239.8°50.2°83.3%≈ 15-5/8"1.3017
11/1242.5°47.5°91.7%≈ 16-1/4"1.3566
12/1245°45°100%≈ 17"1.4142
13/1247.3°42.7°108.3%≈ 17-11/16"1.4743
14/1249.4°40.6°116.7%≈ 18-7/16"1.5366
15/1251.3°38.7°125%≈ 19-3/16"1.6008
16/1253.1°36.9°133.3%20"1.6667
17/1254.8°35.2°141.7%≈ 20-13/16"1.7341
18/1256.3°33.7°150%≈ 21-5/8"1.8028
19/1257.7°32.3°158.3%≈ 22-1/2"1.8727
20/1259°31°166.7%≈ 23-5/16"1.9437
21/1260.3°29.7°175%≈ 24-3/16"2.0156
22/1261.4°28.6°183.3%≈ 25-1/16"2.0883
23/1262.4°27.6°191.7%≈ 25-15/16"2.1619
24/1263.4°26.6°200%≈ 26-13/16"2.2361
Rafter lengths to the nearest 1/16" (≈ when rounded), with no overhang. The multiplier is feet of rafter per foot of run.

Work out your own with Construction Calculator

  • Pitch from rise and run, or rise from pitch
  • Hip, valley and jack rafters, with their cuts
  • Send a length to the calculator to add an overhang
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Common rafter length by span and pitch

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Building span4/126/128/1210/1212/12
12 ft≈ 6' 3-7/8"≈ 6' 8-1/2"≈ 7' 2-9/16"≈ 7' 9-3/4"≈ 8' 5-13/16"
16 ft≈ 8' 5-3/16"≈ 8' 11-5/16"≈ 9' 7-3/8"≈ 10' 4-15/16"≈ 11' 3-3/4"
20 ft≈ 10' 6-1/2"≈ 11' 2-3/16"≈ 12' 0-1/4"≈ 13' 0-3/16"≈ 14' 1-11/16"
24 ft≈ 12' 7-13/16"≈ 13' 5"≈ 14' 5-1/16"≈ 15' 7-7/16"≈ 16' 11-5/8"
28 ft≈ 14' 9-1/16"≈ 15' 7-13/16"≈ 16' 9-15/16"≈ 18' 2-11/16"≈ 19' 9-9/16"
32 ft≈ 16' 10-3/8"≈ 17' 10-11/16"≈ 19' 2-3/4"≈ 20' 9-15/16"≈ 22' 7-1/2"
The run is half the span. Lengths go from the outside of the wall to the center of the ridge, to the nearest 1/16", with no overhang.

What is a 4/12 roof pitch?

It rises 4" per foot of run: an angle of 18.4° and a 33.3% slope. Each foot of run takes about 12-5/8" of rafter, a multiplier of 1.0541.

What is a 6/12 roof pitch?

It rises 6" per foot of run: an angle of 26.6° and a 50% slope. Each foot of run takes about 13-7/16" of rafter, a multiplier of 1.118.

What’s a normal pitch for a roof?

There isn’t one. The code sets only the lowest pitch for each roofing:

Roofing Lowest pitch
Mineral-surfaced roll roofing 1/12
Asphalt shingles 2/12, with double underlayment up to 4/12
Clay and concrete tile 2-1/2/12, with double underlayment up to 4/12
Metal roof shingles 3/12
Wood shingles and shakes 3/12
Slate 4/12

From the 2021 IRC, R905. Check your local code and the roofing maker’s instructions.

How do I turn pitch into degrees?

Find your pitch in the chart: 8/12 is 33.7° and a 66.7% slope. Its multiplier is 1.2019, about 14-7/16" of rafter per foot of run.

How do I work out rafter length?

Multiply the run (half the span) by the multiplier. A 24' span at 6/12 is a 12' run: 12 × 1.118 is 13.42 ft, about 13' 5". That is the length to the center of the ridge.

Then take off half the ridge board’s thickness, measured level. For a 1-1/2" ridge, that is 3/4" off the run, about 13/16" along a 6/12 rafter.

Rafter size comes from your code’s span tables, not the pitch.

What angle are the plumb and seat cuts?

The plumb cut at the ridge is the roof’s angle. The seat cut on the wall is 90° minus that. At 6/12 they are 26.6° and 63.4°; at 12/12 both are 45°.

Last updated .