Compound Miter Settings
For Your Table Saw
When cutting tapered staves for a vessel


Where N is the number of sides in the assembly, S is the slope* of the sides in degrees, MG is the miter gauge angle, and BT is the blade tilt needed to cut the compound miter:

tanMG = 1 ÷ [cosS x tan(360 ÷ 2N)] (for all joints)

tanBT = cosMG x tanS (for mitered joints)

tanBT = cosMG ÷ tanS (for butted joints)

*The slope is measured from horizontal, with the assembly resting on a bench or worksurface.

  4 Sides, Butted* 4 Sides, Mitered 5 Sides, Mitered 6 Sides, Mitered 8 Sides, Mitered
  Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt
Slope
0     45.00 0.00 54.00 0.00 60.00 0.00 67.50 0.00
5     45.11 3.53 54.10 2.94 60.09 2.50 67.58 1.91
10     45.44 7.05 54.42 5.86 60.38 4.98 67.81 3.81
15     45.99 10.55 54.94 8.75 60.85 7.44 68.19 5.68
20     46.78 14.00 55.68 11.60 61.52 9.85 68.73 7.52
25     47.81 17.39 56.64 14.38 62.38 12.20 69.42 9.31
30 49.11 48.59 49.11 20.70 57.82 17.09 63.43 14.48 70.27 11.03
35 50.68 42.15 50.68 23.93 59.24 19.70 64.69 16.67 71.26 12.68
40 52.55 35.93 52.55 27.03 60.90 22.20 66.14 18.75 72.40 14.24
45 54.74 30.00 54.74 30.00 62.81 24.56 67.79 20.70 73.68 15.70
50 57.27 24.40 57.27 32.80 64.97 26.76 69.64 22.52 75.09 17.05
55 60.16 19.21 60.16 35.40 67.38 28.78 71.68 24.18 76.64 18.27
60 63.43 14.48 63.43 37.76 70.04 30.60 73.90 25.66 78.30 19.35
65 67.09 10.29 67.09 39.86 72.93 32.19 76.29 26.95 80.07 20.29
70 71.12 6.72 71.12 41.64 76.05 33.53 78.83 28.02 81.94 21.08
75 75.49 3.84 75.49 43.08 79.35 34.59 81.50 28.88 83.88 21.69
80 80.15 1.73 80.15 44.14 82.81 35.37 84.27 29.50 85.89 22.14
85 85.02 0.44 85.02 44.78 86.38 35.84 87.12 29.87 87.93 22.41
90 90.00 0.00 90.00 45.00 90.00 36.00 90.00 30.00 90.00 22.50
*Not practical for slopes less than 33 degrees because table saw blade won’t tilt past 45 degrees.



  10 Sides, Mitered 12 Sides, Mitered 16 Sides, Mitered 20 Sides, Mitered 24 Sides, Mitered
  Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt		 Miter
Gauge		 Blade
Tilt
Slope
0 72 0 75 0 78.75  0 81 0 82.5 0
5 72.06 1.54 75.05 1.29 78.79  0.97 81.03 0.78 82.53 0.65
10 72.26 3.08 75.22 2.58 78.92 1.94 81.13 1.56 82.61 1.3
15 72.58 4.59 75.49 3.84 79.12  2.89 81.3 2.32 82.75 1.94
20 73.02 6.07 75.87 5.08 79.41 3.83 81.53 3.07 82.95 2.56
25 73.59 7.5 76.35 6.28 79.78 4.73 81.83  3.79 83.2 3.16
30 74.28 8.89 76.94 7.44 80.23 5.6 82.19 4.49 83.5 3.74
35 75.1 10.21 77.62 8.54 80.75 6.42 82.61 5.15 83.84 4.29
40 76.02 11.46 78.4 9.58 81.34  7.2 83.08 5.77 84.24 4.81
45 77.06 12.62 79.27 10.55 81.99 7.93 83.61 6.35 84.68 5.3
50 78.2 13.69 80.23 11.44 82.71 8.59 84.19 6.88 85.16  5.74
55 79.44  14.66 81.26 12.24  83.49 9.2 84.81 7.36 85.68 6.14
60 80.77 15.52 82.37 12.95 84.32 9.73 85.47 7.79 86.23 6.49
65 82.18 16.26 83.54 13.57 85.19 10.18  86.17 8.15 86.82 6.79
70 83.66 16.88 84.76  14.08 86.11 10.56 86.90  8.45 87.42 7.05
75 85.19 17.37 86.03 14.48 87.05 10.86 87.65 8.69 88.05 7.24
80 86.77 17.72 87.34 14.77 88.02 11.08 88.42  8.86 88.69 7.39
85  88.38 17.93 88.66 14.94 89.01 11.21 89.21 8.97 89.34 7.47
90 90 18 90 15 90 11.25  90 9 90 7.5