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Tip #48
Compound Miter Chart
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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.

"N" 
4 Sides, Butted*

4 Sides, Mitered

5 Sides, Mitered

6 Sides, Mitered

8 Sides, Mitered
"MG" MiterGauge "BT"
BladeTilt 

MiterGauge

BladeTilt

MiterGauge

BladeTilt 

MiterGauge

BladeTilt

MiterGauge

BladeTilt
"S" Slope
45.00  0.00  54.00  0.00 60.00  0.00  67.50  0.00
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
MiterGauge BladeTilt MiterGauge BladeTilt  MiterGauge  BladeTilt MiterGauge  BladeTilt MiterGauge BladeTilt
Slope
0 72.00 0.00 75.00 0.00 78.75  0.00 81.00 0.00 82.50 0.00
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 1.30
15 72.58 4.59 75.49 3.84 79.12  2.89 81.30 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 7.50 76.35 6.28 79.78 4.73 81.83  3.79 83.20 3.16
30 74.28 8.89 76.94 7.44 80.23 5.60 82.19 4.49 83.50 3.74
35 75.10 10.21 77.62 8.54 80.75 6.42 82.61 5.15 83.84 4.29
40 76.02 11.46 78.40 9.58 81.34  7.20 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 5.30
50 78.20 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 9.20 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 90.00 18.00 90.00 15.00 90.00 11.25  90.00 9.00 90.00 7.50

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