This has been a long time coming. I worked out a method for determining imbuing success % for all items, races, skill levels, and imbuing weights. I have tested it and found errors to be no more than ±0.1% from the ingame values—an unfortunate result of rounding, I’m sure. Please let me know if you find anything greater than that.
While working on this project, I discovered a few interesting facts that I’d like to share:
1.) Queen’s Forge gives constant 6% bonus to success, and the Royal City Forge gives ~2% bonus (it actually fluctuates wildly between 1.9% and 2.1%; for total true weight (Tw) imbues >295, it is a constant 2% bonus)
2.) Property weight multipliers have no effect on success. So imbuing a Super Slayer property is just as difficult as imbuing 100 Luck. This is important because while the imbuing gump may say an item has a total property weight of 140, the system will calculate the success rate based on a total weight of 100 (if a property had a 1.4x multiplier)
3.) Success chance is linearly related to your imbuing skill. So, for every point you gain in imbuing, your chance to succeed on the same imbue weight will increase at a constant rate. See “Imbuing Skill Influence on Success Rates” below.
4.) Items fall into three categories: exceptional armor/shields/weapons, exceptional jewelry, and everything else. The category to which an item belongs will determine the slope of the lines in the “Imbuing Skill Influence on Success Rates” chart above.
5.) Success chance decreases exponentially based on imbuing weight. So, the higher the total true weight of an item, the less weight will impact your success.
6.) At 120 imbuing, gargoyle race bonus ranges from 28.5% to ~0.8%, but the bonus only really has an effect on imbues above 195 total true weight, since humans/elves have >100% success up to that point. This bonus decreases exponentially.
Now for the formula! The complete formula is:
Where Tw is the total true weight, Bonus is the Queen’s/Royal SF bonus, and INT is the integer function, and the coefficients a, b, c, and ω are given below. To help explain the function, I broke it down into its four major components and provide instructions for calculating each below.
StepbyStep:
First, determine the total true weight (Tw) using the following formula:
Example 1: a Leather Cap with 8 Mana Increase and 8 Stamina increase has a displayed weight of 220 (since MI and SI have a 1.1x multiplier), but the the true weight, Tw equals 200, which is 100*(110/110+110/110)
Example 2: a ring with +14 Magery and 25 Luck has a displayed weight of 155, but the true weight, Tw equals 118, which is 100*(130/140+25/100).
Second, determine the success chance based on 120.0 imbuing of an exceptionally crafted item:
Where Tw is the true weight as described above; the following table provides the values for the other coefficients:
Third, scale the success rate according to your Imbuing skill (x) using the following formula:
Fourth, multiply the success rate in step three according to the type of item you’re imbuing:
Finally, add the bonuses afforded to players for using special soulforges. The Royal City Soul forge grants a ~2% (fluctuates between 1.9% and 2.1%) bonus to success, and the Queen’s Soulforge grants a constant 6% bonus to success rates.
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Nomad
While working on this project, I discovered a few interesting facts that I’d like to share:
1.) Queen’s Forge gives constant 6% bonus to success, and the Royal City Forge gives ~2% bonus (it actually fluctuates wildly between 1.9% and 2.1%; for total true weight (Tw) imbues >295, it is a constant 2% bonus)
2.) Property weight multipliers have no effect on success. So imbuing a Super Slayer property is just as difficult as imbuing 100 Luck. This is important because while the imbuing gump may say an item has a total property weight of 140, the system will calculate the success rate based on a total weight of 100 (if a property had a 1.4x multiplier)
3.) Success chance is linearly related to your imbuing skill. So, for every point you gain in imbuing, your chance to succeed on the same imbue weight will increase at a constant rate. See “Imbuing Skill Influence on Success Rates” below.
4.) Items fall into three categories: exceptional armor/shields/weapons, exceptional jewelry, and everything else. The category to which an item belongs will determine the slope of the lines in the “Imbuing Skill Influence on Success Rates” chart above.
5.) Success chance decreases exponentially based on imbuing weight. So, the higher the total true weight of an item, the less weight will impact your success.
6.) At 120 imbuing, gargoyle race bonus ranges from 28.5% to ~0.8%, but the bonus only really has an effect on imbues above 195 total true weight, since humans/elves have >100% success up to that point. This bonus decreases exponentially.
Now for the formula! The complete formula is:
Where Tw is the total true weight, Bonus is the Queen’s/Royal SF bonus, and INT is the integer function, and the coefficients a, b, c, and ω are given below. To help explain the function, I broke it down into its four major components and provide instructions for calculating each below.
StepbyStep:
First, determine the total true weight (Tw) using the following formula:
Example 1: a Leather Cap with 8 Mana Increase and 8 Stamina increase has a displayed weight of 220 (since MI and SI have a 1.1x multiplier), but the the true weight, Tw equals 200, which is 100*(110/110+110/110)
Example 2: a ring with +14 Magery and 25 Luck has a displayed weight of 155, but the true weight, Tw equals 118, which is 100*(130/140+25/100).
Second, determine the success chance based on 120.0 imbuing of an exceptionally crafted item:
Where Tw is the true weight as described above; the following table provides the values for the other coefficients:
Third, scale the success rate according to your Imbuing skill (x) using the following formula:
Fourth, multiply the success rate in step three according to the type of item you’re imbuing:
Finally, add the bonuses afforded to players for using special soulforges. The Royal City Soul forge grants a ~2% (fluctuates between 1.9% and 2.1%) bonus to success, and the Queen’s Soulforge grants a constant 6% bonus to success rates.
//
Nomad
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