0 1 2 3 2 1 0 1 2 3 2 1 0 1 2 3 2 1 0 1 2 3 2 1 0 1 2 3 2 1 0 1 2 3 2 1 0 1 2 3 2 1 0

every other (1/2 sample rate, speed up/shrink by factor of 2)
0   2   2   0   2   2   0   2   2   0   2   2   0   2   2   0   2   2   0   2   2   0
  1   3   1   1   3   1   1   3   1   1   3   1   1   3   1   1   3   1   1   3   1

every third (1/3 sample rate, speed up/shrink by factor of 3)
0     3     0     3     0     3     0     3     0     3     0     3     0     3     0
  1     2     1     2     1     2     1     2     1     2     1     2     1     2

every forth (1/4 sample rate, speed up/shrink by factor of 4)
0       2       2       0       2       2       0       2       2       0       2       
  1       1       3       1       1       3       1       1       3       1       1
(notice that this looks just like every other)

every firth (1/5 sample rate, speed up/shrink by factor of 5)
0         1         2         3         2         1         0         1         2
  1         0         1         2         3         2         1         0         1
(notice that this looks just like the original!)