📐 JoineryBench All 8 Calculators
Tapered Planters, Range Hoods & Splayed Furniture

Compound Miter & Splayed Leg Saw Bevel Angle Calculator

Calculate exact table saw / miter saw Miter Angle and Blade Bevel Tilt Angle to join sloped sides on 4, 6, 8, or custom-sided tapered planters, kitchen range hoods, pyramid roofs, and splayed furniture legs.

3D Trigonometric Compound Angle Engine

0° = Straight vertical box. 10°–20° = Typical tapered planter or splayed stool.

Shop Calibration Note: Both angles below are given as displacement from 90° (standard US/UK digital angle gauge & miter saw scale where a straight square cut is 0.00°).

Exact Saw Calibration Settings

Saw Miter Gauge Angle

10.73°

79.27° from fence

Blade Bevel Tilt Angle

43.08°

46.92° to table

Live Tapered Hopper & Blade Tilt Geometry

Compound Miter & Blade Bevel Reference Table (4, 6 & 8 Sides)

Pre-calculated Miter Angle and Blade Bevel Tilt settings (from 0° square) for common workshop splay angles.

Wall Splay Angle 4-Sided Box (Miter / Bevel) 6-Sided Hexagon (Miter / Bevel) 8-Sided Octagon (Miter / Bevel)
5° Slope3.54° Miter / 44.78° Bevel4.33° Miter / 29.87° Bevel4.62° Miter / 22.41° Bevel
10° Slope7.11° Miter / 44.13° Bevel8.68° Miter / 29.50° Bevel9.25° Miter / 22.15° Bevel
15° Slope10.73° Miter / 43.08° Bevel13.06° Miter / 28.88° Bevel13.90° Miter / 21.70° Bevel
20° Slope14.43° Miter / 41.64° Bevel17.49° Miter / 28.02° Bevel18.59° Miter / 21.08° Bevel
30° Slope22.21° Miter / 37.76° Bevel26.57° Miter / 25.66° Bevel28.07° Miter / 19.38° Bevel

Frequently Asked Questions

What are the exact trigonometric formulas for compound miter and bevel angles?

For any regular polygon with N sides and a splay/slope angle S (measured from vertical), the Corner Half-Angle is C = 180° / N. The Table Saw Miter Gauge Angle (from 90° crosscut) is Miter = arctan(tan(S) × cos(C)), and the Saw Blade Bevel Tilt Angle (from 90° vertical) is Bevel = arcsin(cos(S) × sin(C)).

What is the miter and bevel angle for a 4-sided tapered planter with a 15-degree slope?

For a 4-sided square planter or range hood with walls tilted outward at 15 degrees from vertical, set your miter gauge to 10.73 degrees and tilt your saw blade bevel to 43.08 degrees.

How do you set compound angles on a miter saw vs a table saw?

Both tools use the exact same Miter Angle (displacement from a 90° straight crosscut) and Bevel Tilt Angle (displacement from a 90° vertical blade cut). Always verify with a digital angle finder on the saw plate before cutting final hardwood stock.

Complete Specialty Joinery & Cabinet Calculator Suite

Commercial Cabinet Hardware

Blum Tandem & Movento Undermount Drawer Box Size Calculator

Calculate exact outside drawer box width, inside width (LW - 42mm), front-to-back notch length, and bottom recess depth for Blum 563H, 569H, and 763H undermount slides.

Kitchen & Bath Cabinetry

Shaker Cabinet Door Rail, Stile & Panel Cut List Calculator

Calculate finished Shaker door width & height, stile lengths, tenoned rail lengths, and floating center panel dimensions with expansion spaceball clearance.

Appliance Garages & Campervans

Tambour Door Slat Width & Track Radius Calculator (mm & inches)

Calculate exact maximum slat width, minimum router track curve radius, total slat count, and canvas backing dimensions for rolling tambour cabinet doors without binding.

Japanese Joinery & Screens

Shoji Screen & Kumiko Grid Pitch Calculator (Notch Spacing & Mitsuke)

Calculate exact Kumiko strip spacing, clear cell opening, half-lap notch pitch (ai-kaki), aspect ratio, and lineal stock for Japanese Shoji doors and Kumiko grids.

Curved Woodwork & Radius Corners

Wood Kerf Bending Cut Spacing & Radius Calculator (Plywood & Hardwood)

Calculate exact center-to-center saw kerf spacing, number of relief cuts, cut depth, and outer arc length to bend plywood or solid wood around any radius curve.

Picture Frames & Trim Carpentry

Unequal Width Miter Joint Angle Calculator (Different Board Widths)

Calculate the two exact complementary miter saw angles when joining two boards, trim moldings, or picture frame rails of different widths at a 90 degree or custom corner.

Asanoha & Geometric Inlays

Kumiko Asanoha Pattern Strip Length & Bevel Jig Calculator

Calculate exact infill piece lengths, 45, 22.5, and 67.5 degree bevel block setups, piece counts, and total strip stock for traditional Asanoha Kumiko panels.