For light, Dragon scale is best and to get there you need only require skill 100 and glass or daedric
For glass you need skill 70 and advanced
For advanced you need skill 50 and Elven
For Elven you need skill 40 and steel
Steel simply needs a skill of 20
That is basically the light path
For the heavy path it's
Steel -> Dwarven -> Orcish -> Ebony -> Daedric -> Dragon
Skill 20..Skill 30......skill 50....skill 80.....skill 90.....skill 100
But as you can see, it has the potential to (but not requirement to) alternate if you wish.
Steel -> Dwarven -> Elven -> Orcish <-> Advanced -> Glass -> Ebony -> Daedric -> Dragon
skill 20...skill 30.....skill 40...skill 50.........skill 50......skill 70....skill 80.....skill 90....skill 100
The 'skill 60' perk is Arcane Blacksmith. So that is something you would have to wait for later or delay the perk progression by 10 skill points.
Things that don't make sense to me is....
Studded leather seems inferior to regular leather.
Even though Dragon armor requires skill 100 and glass or daedric, the daedric armor is higher rated.
Advanced is required to get steel plate (heavy armor) but is on the light side and requires elven (a light armor) to obtain.
We start knowing how to make hide, leather and iron. What's the point of hide?