I'm making a coat rack to hang behind a door, but there isn't room room for a hanger between the door and the wall when the door is opened so it's parallel to the wall. My solution to this is to have the hangers align on a 45 degree angle between the door and the wall. So I need a way to make a bunch of regularly-spaced, parallel grooves in a bar of wood which will act as my hanger bar. Here's a rough pic of what I want to make:
I'm hoping to avoid the "table saw a bunch of times where you want the groove and then chip/chisel the remaining wood out" technique because it doesn't seem like that will give me nice, neat grooves easily. I'd love to find a way to use a router (I have a small portable router table if that will help) to do this, but I can't think of a way to produce a bunch of exactly parallel grooves. Anyone have any ideas?