Compound Miter Calculator

Quick answer

A compound miter needs both a miter and a bevel angle when a joint is tilted, as with crown moulding. For standard 38 degree crown on a 90 degree corner, set the saw to a 31.6 degree miter and a 33.9 degree bevel. Enter your spring angle and corner to get both saw settings.

Updated 2026-09-09By Shakeel MuzaffarReviewed by Prof. Dr. Khalil Mudassar, PhD
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Woodworking
Angle of the moulding from the wall; 38 for standard crown, 90 for flat trim.
The angle of the wall corner; 90 for a standard inside corner.
Miter angle (saw)
--
Bevel angle (blade tilt)--
Corner angle--
Spring angle--

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How to Use the Compound Miter Calculator

  1. Enter the spring angle of your moulding; standard crown is 38 degrees.
  2. Enter the corner angle; a standard inside corner is 90 degrees.
  3. Read the miter angle to set on the saw table.
  4. Read the bevel angle to tilt the blade.
ResultWhat it means
Miter angleThe angle to set on the saw table.
Bevel angleThe angle to tilt the saw blade.
Corner angleThe wall corner you entered.
Spring angleThe moulding spring angle you entered.

What Is a Compound Miter?

A compound miter is a cut that combines two angles at once: a miter across the face and a bevel through the thickness. It is needed whenever a joint is tilted rather than flat, most famously for crown moulding, which sits at an angle between the wall and the ceiling.

Cutting crown flat on the saw, rather than propped at its spring angle, means you must dial in both a miter and a bevel. Get either wrong and the corner will not close, so the exact pair of settings matters. This is the cut that intimidates most trim carpenters when they start out, purely because two angles have to be right at the same time rather than one.

How Does the Compound Miter Calculation Work?

Formula: miter = atan(sin(spring)/tan(corner/2)); bevel = asin(cos(spring)xsin(corner/2))
  1. Take the spring angle of the moulding and the corner angle of the wall.
  2. The miter comes from the sine of the spring over the tangent of half the corner.
  3. The bevel comes from the cosine of the spring times the sine of half the corner.
  4. Set the table to the miter and tilt the blade to the bevel.

When the spring angle is 90 degrees, the moulding is flat and the bevel drops to zero, leaving a simple miter, which is why flat frames need no bevel.

Compound Miter Example

Standard crown moulding has a 38 degree spring angle, cut for a 90 degree inside corner. The miter works out to about 31.6 degrees and the bevel to about 33.9 degrees. A 45 degree crown on the same corner needs a 35.3 degree miter and a 30 degree bevel. Cut flat trim, a 90 degree spring, and you get a plain 45 degree miter with no bevel at all.

What Affects a Compound Miter

Spring Angle

The angle the moulding sits at drives both settings; 38 and 45 degrees are the common crown spring angles.

Corner Angle

A tighter or wider wall corner shifts the miter and bevel; 90 degrees is the usual inside corner.

Inside vs Outside Corners

The angles are the same size, but the cut direction flips, so keep track of which way each piece faces.

Saw Reference

Saws vary in how they read miter and bevel, so confirm your machine matches the numbers.

Crown Settings Compared

Saw settings for common crown on a 90 degree corner.

Spring angleMiterBevel
38 deg (standard)31.6 deg33.9 deg
45 deg35.3 deg30.0 deg
52 deg38.2 deg25.8 deg
90 deg (flat)45.0 deg0.0 deg

These assume cutting the moulding flat on the saw; propping it at the spring angle uses a plain miter instead.

When to Use a Compound Miter Calculator

Fitting Crown Moulding

Get the miter and bevel to cut crown flat on the saw.

Sloped Boxes and Hoppers

Work out compound cuts for tapered, angled-side projects.

Odd Corners

Handle walls that are not a clean 90 degrees by entering the real corner angle.

Common Compound Miter Mistakes

1. Swapping Miter and Bevel

The table setting is the miter; the blade tilt is the bevel. Mixing them ruins the joint.

2. Wrong Spring Angle

Using 45 for a 38 degree crown, or the reverse, throws both settings out.

3. Ignoring Corner Angle

Walls are rarely perfect; measure the real corner for a tight fit.

4. Losing Track of Direction

Inside and outside corners flip the cut, so label each piece before cutting.

Accuracy and Limitations

The trigonometry is exact for the spring and corner angles you enter, matching standard crown tables. It gives the angles, not which way to face each piece.

What it calculates accurately

  • Miter and bevel for a compound cut
  • Any spring and corner angle
  • The flat-trim case with zero bevel

What it does not do

  • Show cut direction for inside vs outside
  • Match every saw reference convention
  • Account for moulding that is propped, not flat

How We Calculate the Result

Method
Miter is the arctangent of sin(spring) over tan(corner/2); bevel is the arcsine of cos(spring) times sin(corner/2).
Inputs used
Spring angle of the moulding and the wall corner angle.
Assumptions
The moulding is cut flat on the saw; angles in degrees.
Rounding
Angles to one decimal place.
Edge cases
Spring 0 to 90 degrees; corner between 0 and 180; 90 spring gives a flat miter.
Sources
See Sources below.
Last reviewed
2026-09-23.

Frequently Asked Questions

What is the saw setting for 38 degree crown?

On a 90 degree inside corner, set a 31.6 degree miter and a 33.9 degree bevel to cut standard 38 degree crown moulding flat on the saw.

What is a compound miter?

A cut that combines a miter across the face and a bevel through the thickness, needed for tilted joints such as crown moulding.

How do you calculate a compound miter?

The miter is arctan(sin(spring) over tan(corner/2)); the bevel is arcsin(cos(spring) times sin(corner/2)), where spring and corner are the moulding and wall angles.

What is a spring angle?

The angle a moulding sits at between the wall and ceiling. Standard crown is 38 degrees; a 45 degree crown is the other common type.

What settings for 45 degree crown?

On a 90 degree corner, 45 degree crown needs a 35.3 degree miter and a 30 degree bevel.

Why does flat trim have no bevel?

At a 90 degree spring angle the moulding lies flat, so the bevel is zero and you are left with a simple 45 degree miter.

Does the corner angle matter?

Yes. Walls are rarely exactly 90 degrees, and even a couple of degrees off changes the miter and bevel for a tight fit.

What about outside corners?

The angles are the same size, but the cut direction reverses, so mark each piece for inside or outside before cutting.

Is my data saved?

No. The calculator runs entirely in your browser and nothing you enter is stored or sent anywhere.

Sources

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For woodworking and educational use. Settings assume cutting the moulding flat on the saw; confirm your saw reference and cut direction on scrap before the real piece. Spotted an error? Let us know.

Author

shakeel-Muzaffar
Founder & Editor-in-Chief at  ~ Web ~  More Posts

Shakeel Muzaffar is the Founder and Editor-in-Chief of MultiCalculators.com, bringing over 15 years of experience in digital publishing, product strategy, and online tool development. He leads the platform's editorial vision, ensuring every calculator meets strict standards for accuracy, usability, and real-world value. Shakeel personally oversees content quality, formula verification workflows, and the platform's commitment to publishing tools that are genuinely useful for students, professionals, and everyday users worldwide.