The following shows a comparison of the four edge sequences on the 3x3 and 4x4 cubes. The first three sequences are the same for both cubes, the last one is different (for the 4x4 cube, it's the second sequence with half-twists of the slice instead of quarter-twists). The first sequence also works on the inner slices of the 4x4 cube (see last cube on page).

The following is the same sequence as above applied to the inner slices. It is ok to quarter-twist the top face to make the setup for this configuration (but not for any of the above).

Here is the first sequence on the page applied to the inner slices.

The 3x3 sequences can also be used by twisting the two middle layers as one on the 4x4 cube which doubles the number of facelets in each setup. If more than half of the facelets match a setup then using the sequence will reduce the number of misplaced facelets, for example if six of eight matched then there would be four less misplaced facelets as a result of doing the sequence (six fixed minus two misplaced equals four fixed). After making a 3-Color solution on the 4x4 Cube, use the 6-Color Sequences to complete the solve.