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gawk '
BEGIN {
  for (d = 1; d <= 31; d++) {
    t = mktime("2008 08 " d " 0 0 0")
    print d, strftime("%A", t)
  }
}'


The output is:

1 Friday
2 Saturday
3 Sunday
4 Monday
5 Tuesday
6 Wednesday
7 Thursday
8 Friday
9 Saturday
10 Sunday
11 Monday
12 Tuesday
13 Wednesday
14 Thursday
15 Friday
16 Saturday
17 Sunday
18 Monday
19 Tuesday
20 Wednesday
21 Thursday
22 Friday
23 Saturday
24 Sunday
25 Monday
26 Tuesday
27 Wednesday
28 Thursday
29 Friday
30 Saturday
31 Sunday

Compare to: $ cal 8 2008     August 2008 Su Mo Tu We Th Fr Sa                 1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31