Here is a follow up post frome somebody, and the OP's math to support it.
I was unaware of this formula. So what you are saying is the current way to figure out if you will get a relic fragment is this:
If un-imbued:
A >= 381
B = 20
C = 20
D = 30
Then A+B+C+D = 451 = Relic Fragment.
If imbued:
A >= 494
B = 20
C = 20
D = 30
Then A+B+C+D = 564 * .8 = 451 = Relic Fragment.
Did I get this math correct?
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Yes. That's right.
And other B [Material Bonus] Bonus is as fellows.
Dullcopper :10
Shadow : 20
Copper : 30
Bronze : 40
Gold : 50
Agapite : 60
Verite : 70
Valorite : 80
Spined : 40
Horned : 60
Barbed : 80
Oak : 30
Ash : 40
Yew : 50
Heartwood : 60
Bloodwood : 70
Frostwood : 80
All Scales : 40
D [Soul Forge] Bonus is
Normal : 0
Royal city(center) : 10
Queen's : 30
If Durability is less than 50, correction rate decreases 0.02 each.
ex)
durability 30 --- correction rate is 0.60 (=1.00-0.02*20)
durability 45 and imbued --- correction rate is 0.70 (=1.00-0.02*5-0.20)