RDM Enhancing Duration, JP enhancing duration & Ghostfyre Cape

[Fornax]

Previous testing has shown that enhancing duration follows the formula

duration = base duration * multiplier

where multiplier = 1 + sum of the percentages from enhancing duration gear.

I have retested enhancing duration to see how Enhancing Magic Duration from job points fits into this formula. Is it added to base duration, or is it added after the multiplier?

JP Enhancing magic duration is 15/15, composure was off. Gear equipped was:

Atrophy Gloves + 1 (+16%)
Lethargy Hoseaux + 1 (+30%)
Ghostfyre Cape (+20%)

I clocked the following durations, with a measurement error of about 1 second:

Refresh II : 289 (base duration: 150)
Haste II : 342 (base duration: 180)
Blink : 553 (base duration: 300)
Shell V: :3180 (base duration: 1800)

The best (least squares fit) linear relationship that fits these durations is:

duration = (base duration + 15.048) * 1.7521

Based on the data, it's clear that the JP bonus of 15 seconds is added to the base duration before the multiplier is applied.

How the multiplier is computed is less obvious. It's not additive, because that would only create a multiplier of 1.66. It's also not multiplicative, because that's too large: 1.16*1.2*1.3 = 1.81. Those differences may seem small, but they amount to deviations in the 2-3 minute range for Shell V.

The only explanation that fits the data is that the Ghostfyre multiplier is applied separately:

duration = floor ( (base + 15)*(1 + hands % + feet %)*(1+Ghostfyre %) )

this makes the effective multiplier in my configuration 1.752.

This formula predicts the following durations:

Refresh II : 289 (tested: 289)
Haste II : 341 (tested: 342)
Blink : 551 (tested: 553)
Shell V: : 3179 (tested: 3180)

[Fwahm]

Yes, this was known (though I don't think the JP bonus's location in the equation was on either of the wikis).

[Protey]

Yea, the cape was figured out back in March: bottom post

and the JP being added to base was mentioned here last month: 7th from bottom post

TL;DR: nothing new.