I have been contemplating the different DCs (Difficulty Classes) that can be set based on various attribute scores and proficiency bonuses. Conversely, I also considered what DCs can be achieved with the same attributes and bonuses. To better illustrate this concept, I have created some tables. These include Epic levels (with proficiency bonuses up to 7 and 8) and attribute scores up to 30.
Setting DCs
What DCs can be set or be expected to see based on different attribute scores and proficiency bonuses?
| DC 8+pb+mod | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|
| 10 (+0) |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
| 11 (+0) |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
| 12 (+1) |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
| 13 (+1) |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
| 14 (+2) |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
| 15 (+2) |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
| 16 (+3) |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 17 (+3) |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 18 (+4) |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
| 19 (+4) |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
| 20 (+5) |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
| 21 (+5) |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
| 22 (+6) |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
| 23 (+6) |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
| 24 (+7) |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
| 25 (+7) |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
| 26 (+8) |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
| 27 (+8) |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
| 28 (+9) |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 29 (+9) |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 30 (+10) |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
Reaching DCs
Respectively, the base (taking 10/average 10) with proficiency.
| DC 10+pb+mod | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|
| 10 (+0) |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
| 11 (+0) |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
| 12 (+1) |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 13 (+1) |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 14 (+2) |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
| 15 (+2) |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
| 16 (+3) |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
| 17 (+3) |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
| 18 (+4) |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
| 19 (+4) |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
| 20 (+5) |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
| 21 (+5) |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
| 22 (+6) |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
| 23 (+6) |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
| 24 (+7) |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 25 (+7) |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 26 (+8) |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
| 27 (+8) |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
| 28 (+9) |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
| 29 (+9) |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
| 30 (+10) |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
Expertise on a D20
There are options where you can potentially reach high numbers by standard on a d20, such as through magic (spells and devices) and/or the Help action.
| DC 20+pb*2+mod | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|
| 10 (+0) |
24 |
26 |
28 |
30 |
32 |
34 |
36 |
| 11 (+0) |
24 |
26 |
28 |
30 |
32 |
34 |
36 |
| 12 (+1) |
25 |
27 |
29 |
31 |
33 |
35 |
37 |
| 13 (+1) |
25 |
27 |
29 |
31 |
33 |
35 |
37 |
| 14 (+2) |
26 |
28 |
30 |
32 |
34 |
36 |
38 |
| 15 (+2) |
26 |
28 |
30 |
32 |
34 |
36 |
38 |
| 16 (+3) |
27 |
29 |
31 |
33 |
35 |
37 |
39 |
| 17 (+3) |
27 |
29 |
31 |
33 |
35 |
37 |
39 |
| 18 (+4) |
28 |
30 |
32 |
34 |
36 |
38 |
40 |
| 19 (+4) |
28 |
30 |
32 |
34 |
36 |
38 |
40 |
| 20 (+5) |
29 |
31 |
33 |
35 |
37 |
39 |
41 |
| 21 (+5) |
29 |
31 |
33 |
35 |
37 |
39 |
41 |
| 22 (+6) |
30 |
32 |
34 |
36 |
38 |
40 |
42 |
| 23 (+6) |
30 |
32 |
34 |
36 |
38 |
40 |
42 |
| 24 (+7) |
31 |
33 |
35 |
37 |
39 |
41 |
43 |
| 25 (+7) |
31 |
33 |
35 |
37 |
39 |
41 |
43 |
| 26 (+8) |
32 |
34 |
36 |
38 |
40 |
42 |
44 |
| 27 (+8) |
32 |
34 |
36 |
38 |
40 |
42 |
44 |
| 28 (+9) |
33 |
35 |
37 |
39 |
41 |
43 |
45 |
| 29 (+9) |
33 |
35 |
37 |
39 |
41 |
43 |
45 |
| 30 (+10) |
34 |
36 |
38 |
40 |
42 |
44 |
46 |
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