Table of Calculations
and Values for Layout of Staff for Cross Staffs
Distance for Crosspiece of x inchs
|
3 inch X-piece |
6 inch X-piece |
9 inch X-piece |
|
| Measured angle, degrees |
Layout angle, degrees |
Tangent (opp side/adj side) |
1/Tangent |
in |
mm= (in)(25.4) |
in |
mm= (in)(25.4) |
in |
mm= (in)(25.4) |
Measured angle, degrees |
| 5 |
2.5 |
0.043 |
22.9 |
34.36 |
872.6 |
68.71 |
1745.3 |
103.07 |
2617.1 |
5 |
| 10 |
5 |
0.087 |
11.43 |
17.15 |
435.5 |
34.29 |
871 |
51.43 |
1306.5 |
10 |
| 15 |
7.5 |
0.132 |
7.596 |
11.39 |
290 |
22.79 |
578.8 |
34.18 |
868.2 |
15 |
| 20 |
10 |
0.176 |
5.671 |
8.51 |
216.1 |
17.01 |
432.2 |
25.52 |
648.2 |
20 |
| 25 |
12.5 |
0.222 |
4.511 |
6.77 |
171.9 |
13.53 |
343.7 |
20.3 |
515.6 |
25 |
| 30 |
15 |
0.268 |
3.732 |
5.6 |
142.2 |
11.2 |
284.4 |
16.79 |
426.6 |
30 |
| 35 |
17.5 |
0.315 |
3.172 |
4.76 |
120.8 |
9.51 |
241.7 |
14.27 |
362.5 |
35 |
| 40 |
20 |
0.364 |
2.748 |
4.12 |
104.7 |
8.24 |
209.4 |
12.36 |
314 |
40 |
| 45 |
22.5 |
0.414 |
2.414 |
3.62 |
92 |
7.24 |
184 |
10.86 |
275.9 |
45 |
| 50 |
25 |
0.466 |
2.145 |
3.21 |
81.7 |
6.43 |
163.4 |
9.65 |
245.1 |
50 |
| 55 |
27.5 |
0.521 |
1.921 |
2.88 |
73.2 |
5.76 |
146.4 |
8.64 |
219.6 |
55 |
| 60 |
30 |
0.577 |
1.732 |
2.6 |
66 |
5.2 |
132 |
7.79 |
198 |
60 |
| 65 |
32.5 |
0.637 |
1.57 |
2.35 |
59.8 |
4.71 |
119.6 |
7.06 |
179.4 |
65 |
| 70 |
35 |
0.7 |
1.428 |
2.14 |
54.4 |
4.28 |
108.8 |
6.43 |
163.2 |
70 |
| 75 |
37.5 |
0.767 |
1.303 |
1.95 |
49.6 |
3.91 |
99.3 |
5.86 |
149 |
75 |
| 80 |
40 |
0.839 |
1.192 |
1.79 |
45.4 |
3.56 |
90.8 |
5.36 |
136.2 |
80 |
| 85 |
42.5 |
0.916 |
1.091 |
1.64 |
41.6 |
3.27 |
83.2 |
4.91 |
124.7 |
85 |
| 90 |
45 |
1 |
1 |
1.5 |
38.1 |
3 |
76.2 |
4.5 |
114.3 |
90 |
|