Twills

Standard 2:2 twill - enter shuttle from right hand side and the threads will all weave into the cloth.

Twill with basket weave selvedge.  

I routinely thread twill from the rear most shaft coming forward to the front.  The tie up is as shown (for either counter balanced or jack/rising shed looms) and I treadle beginning on the right side of the treadles, entering the shuttle from the right to the left.

Some people don't like a twill selvedge for some reason, so it is possible to do a half basket weave selvedge.  But it still means a two thread 'float' at the selvedge.

The only time you need to use a floating selvedge for twill is if the direction of the diagonal changes -  in other words, you change the direction of the twill line.  In this instance I use a herringbone or dornick threading and treadling.

By skipping an end in the sequence you wind up with a slight line at the reverse in both threading and treadling, but you don't need the floating selvedges because the ends on the selvedge will not drop out when the twill direction is changed.