The Iron Sword has a base damage value of 7, Daedric Sword has a base damage value of 15. So to retain the games origonal balance we probably want to use those two values as the approximate min-max for one handed swords.
If we use the system I posted earlier with different values for materials swords get their damage through 50% Hardness + 50% Edge values of materials.
Iron is worst at both of those, so the min value could be given as 3.5, through to daedric which would be 7.5 for each.
Which results in:
Hardness (Softest to Hardest):
Iron (3.5) -> Moonstone (4.0) -> Steel (4.5) -> Dwemer (5.0) -> Orichalcum (5.5) -> Glass = Ebony (6.5) -> Daedric (7.5)
Edge (Dullest to sharpest):
Iron (3.5) -> Orichalcum (4.0) -> Steel (4.5) -> Dwemer (5.0) -> Moonstone (5.5) -> Ebony (6.0) -> Glass (6.5) -> Daedric (7.5)
Starting with the basic sword:
Iron: 7
Steel: 9
Dwemer: 10
Orichalcum: 9.5
Moonstone: 9.5
Ebony: 12.5
Glass: 13
Daedric: 15.
Compared to the default one handed swords:
Iron: 7
Steel: 8
Orcish: 10
Dwarven: 10
Elven: 12
Glass: 12
Ebony: 13
Daedric: 15
Expanding on that as a base:
Spoiler
Nordic:
Iron: 8
Steel: 10
Dwemer: 11
Orichalcum: 10.5
Moonstone: 10.5
Ebony: 13.5
Glass: 14
Daedric: 16.
Orcish:
Iron: 7
Steel: 9
Dwemer: 10
Orichalcum: 9.5
Moonstone: 9.5
Ebony: 12.5
Glass: 13
Daedric: 15.
Altmer:
Iron: 7
Steel: 9
Dwemer: 10
Orichalcum: 9.5
Moonstone: 9.5
Ebony: 12.5
Glass: 13
Daedric: 15.
Dunmer:
Iron: 6
Steel: 8
Dwemer: 9
Orichalcum: 8.5
Moonstone: 8.5
Ebony: 11.5
Glass: 12
Daedric: 14.
Dwemer:
Iron: 9
Steel: 11
Dwemer: 12
Orichalcum: 11.5
Moonstone: 11.5
Ebony: 14.5
Glass: 15
Daedric: 17.
Ornate Altmer:
Iron: 7
Steel: 9
Dwemer: 10
Orichalcum: 9.5
Moonstone: 9.5
Ebony: 12.5
Glass: 13
Daedric: 15.
Dremora:
Iron: 9
Steel: 11
Dwemer: 12
Orichalcum: 11.5
Moonstone: 11.5
Ebony: 14.5
Glass: 15
Daedric: 17.