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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 |
| 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 |
|
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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