Revision as of 10:05, 3 July 2009

Current Faith Rod Research

So far, I have worked out that there are three constants involved in the charging process, and it looks like this:

Base + (Ritual * Multiplier)

It seems that the multiplier is doubled for the impressed stages, or in other words, each impressed stage is worth two imbued stages. Dathed's initial research suggested that there was no base cost, so I decided to test the theory again the lowest cost ritual - Detect Alignment (10 GP). If there were no base cost, then you'd be able to imprint that in a couple of prayers.

Note: The calculations appear to also involve a modifier for your fa.it.rod bonus. All these calculations are done with a bonus of 252. Cinnamon did a quick test for me on a 354 bonus and showed that his charging costs for initial stages were about 10% less.

Currently, I've narrowed the BASE down to somewhere around 800 GP per imbued stage, while the MULTIPLIER is between 10 and 15. Both these figures are doubled for impressed stages.

Additionally, the first stage (barely visible) requires an additional 25% than other imbued stages. The softly pulsing stage appears to be the same cost as the other impressed stages, although the rod only becomes impressed at 80% through.

As a rough guide, the following formula should be about right to imprint a faith rod:

15,000 + (Ritual * 200)

So, a 40 GP ritual would require 23,000 GP in total, or the equivalent of 77 prayers at 300 GP each. That is just over 3 hours on a 4 GP regen, or just over 4 hours at a 3 GP regen.

Based on this, if would take 9.5 hours of constant prayer at 4 GP regen to imprint the Resurrect ritual.

This research isn't finished yet, though, I'll need to imprint a couple more rods of different ritual sizes to pin down the real value of these constants. I should say now that all prayers were successful, so this research doesn't take account of failed, or partial prayer.

Ongoing theories

All prayers were 350 GP, so the GP totals could be off by up to 350 GP.

"GP" = GP cost to perform ritual

My first guess was this:

• First stage is 25% more than the other imbued stages
• 750 + (GP * 12.5) for imbued stages
• 1500 + (GP * 25) for impressed stages (or twice the imbued cost)

After 2 rituals, the numbers look more like this:

• First stage is 25% more than the other imbued stages
• 844 + (GP * 11.1) for imbued stages
• 1688 + (GP * 22.2) for impressed stages (or twice the imbued cost)

Important to note: I believe only 90% of the prayer GP goes into the rod, whilst the other 10% is taken for Deity Points.

Additionally, the Softly pulsing stage appears to be treated the same as the impressed stages overall, although the artifact only becomes impressed 80-90% through this stage.

Still to test

• Imprint Detect Alignment again, but taking into account variance in results to generate an upper and lower bounds for the constants.
• Imprint a ritual at around 100 GP
• What percentage through the Softly pulsing stage does it impress?
• Test different rod bonuses, first two stages of Detect Alignment should be enough, at bonuses of 150, 200, 250, 300, 350

My calculations and test results so far

The following tables detail my research into one large and one small ritual, calculating the GP costs throughout the charging process, the accuracy of these readings could be affected by variables out of my control, such as the Disc's randomness affecting figures. We all know they love to flick the dice now and then :D

Endless Halls (200 GP) into a serrated baton (off aff)

Breakdown of the calculations:

((200 * 12.5) + 750) * 0.25 = 813  (additional 25% for first stage)
((200 * 12.5) + 750) * 6 = 19,500  (6 imbued phases)
((200 * 25) + 1,500) * 7 = 45,500  (7 impressed phases)
813 + 19,500 + 45,500 = 65,813     (total all phases)
65,813 / 0.9 = 73,125              (adjusted up to account for 10% loss to DP)

Will the above table show a total of around 73,000?

The answer is no, the constants must be slighty off, second try:

((200 * 11.1) + 844) * 0.25 = 766  (additional 25% for first stage)
((200 * 11.1) + 844) * 6 = 18,384  (6 imbued phases)
((200 * 22.2) + 1688) * 7 = 43,106 (7 impressed phases)
766 + 18,384 + 43,106 =  62,256    (total all phases)
62,256 / 0.9 = 69,173              (adjusted up to account for 10% loss to DP)

Much better!

Detect Alignment (10 GP) into ribboned baton (misc aff)

* I stepped through prayers of 100 GP each to get a more accurate value here.

Breakdown of the calculations:

((10 * 12.5) + 750) * 0.2 = 219  (additional 25% for first stage)
((10 * 12.5) + 750) * 6 = 5,250  (6 imbued phases)
((10 * 25) + 1,500) * 7 = 12,250 (7 impressed phases)
219 + 5,250 + 12,250 = 17,719    (total all phases)
17,719 / 0.9 = 19,688            (adjusted up to account for 10% loss to DP)

That's pretty close to the 19,350 figure in the table above. Good data to support my calculations.

Round 2:

((10 * 11.1) + 844) * 0.25 = 239   (additional 25% for first stage)
((10 * 11.1) + 844) * 6 = 5,730    (6 imbued phases)
((10 * 22.2) + 1,688) * 7 = 13,370 (7 impressed phases)
239 + 5,730 + 13,370 = 19,339      (total all phases)
19,339 / 0.9 = 21,487              (adjusted up to account for 10% loss to DP)

Ok, maybe not...

Rod charging table template