How is the playing schedule created for tournaments where the teams are seeded?

In case anyone is interested, here is how I solved the problem. I will present the solution for a 3 round tournament. The generalization should be fairly obvious.

Suppose there are only 2 players. Then there is only one game, [1,2].

For four players, think of [1,2] as a possible second round matchup. In the first round, 1 and 2 play 3 and 4. There are two ways of doing this.
I am just going to add 2 to 1 and 2 to get: [1,3][2,4]

For 8 players, think of [1,3][2,4] as a possible second round outcome. In the first round, players 1 to 4 play against 5 to 8. Maintaining the order of the four team result, just add 4 to get [1,5][3,7][2,6][4,8]

Your solution isn’t generally how it is done.

The top seeded entry will almost always play the bottom seeded entry, second seed will play the second lowest seed, etc., the only variable is whether or not everyone is reshuffled at some point or not to line up highest and lowest remaining seeds.

That helps to ensure either upsets in early rounds or great matchups in the later rounds, both of which are considered good viewing.

So 8 entries will generally go
[1,8][4,5][3,6][2,7]
[1,4][3,2]
[1,2]

If we go with all favorites.