PC cost of making Frageron Shards

[Alsarius]

I've wondered about which is more cost efficient (PC wise) when making Fragarach Shards from item synthesis, so when I got my first shining gem coupon from the Vidalian Pack I figured I should start calculating and I found out something slightly off.

First off some number crunching:

Starting from shining gem and onwards it takes 1 PC to make the next level of gem.

Shining Gem (Level 5) = 1 PC to make (Disregarding other costs)
Excellent Gem (Level 6) = 4 PC to make (3 * 1 (Cost of previous level gem) + 1 extra)
Superior Gem (Level 7 = 13 PC to make (3 * 4 + 1)
Flawless Gem (8) = 40 PC
Perfect Gem (9) = 121 PC
Immaculate Gem (10) = 364 PC

Creating 1 Fragarach Shard costs:
6 Shining Gems (3 Topaz and 3 Ruby)
2 PC

Total PC cost = (6 * 1) + 2 = 8 PC
PC cost per Fragarach Shard = 8 / 1 = 1

Creating 6 Fragarach Shard costs:
6 Superior Gems (3 Topaz and 3 Ruby)
10 PC

Total PC cost = (6 * 13) + 10 = 88 PC
PC cost per Fragarach Shard = 88 / 6 = 14.667

Creating 40 Fragarach Shard costs:
2 Immaculate Gems (1 Topaz and 1 Ruby)
50 PC

Total PC cost = (2 * 364) + 50 = 778 PC
PC cost per Fragarach Shard = 778 / 40 = 19.45

NB: You save about 50s per Fragarach Shard as you go from making 1 -> 6 and another 50s going from 6 -> 40

So according to my calculations (in which I hope is wrong) making 1 Fragarach Shard is actually cheaper (PC wise) then making either 6 or 40 Fragarach Shards at a time.

TL;DR: Making 1 Fragarach shard is more cost efficient (PC wise) then making 6 or 40.

Now I'm wondering is this working as intended or have I miscalculated something.

[lights022]

There is too much numbers and less picture, meaning i have no idea what you are talking about.. Another language maybe?

[speeds16]

You have forgotten the cost to make superior gems or Immaculates. You should take those into account to before giving efficient-values. Gem-wise it is true that if you want to use a little gems for as many frag's possible, the shinings are the way to go. Pc-wise it seems to be the same. Gold-wise I forgot but somebody on the forums calculated that one as well.

And ehm I understand you used some mathematics there but, on the shining gem-calculation you're saying it's 1 pc for 1 frag shard, while it is 8 pc's? ( 8 divided by 1 = still 8, not 1)

[venomeh]

I calculated the cost of doing 40 shards with 3 possible methods some days ago, and yes with shining gems it's cheapest. The costs were something like ~18d if you go with Immaculates, ~16d if you go with Superiors and ~14.8d if you go with Shinings.

[Chelsia]

I did some calculations on this as well, my calculations say that making 1 shard at a time is cheaper than making 6 or 40. I didn't calculate in the gold cost, but if you make 40 shard, you use a whole lot more PCs then you need if your going to synth them 1 by 1. Even though it is slightly cheaper in gold when synthing, adding in all the PCs, I'd say synth them 1 by 1.

The only exception would be if your going to buy your gems as immaculate, then you can disregard the PCs for synthesizing gems and that would give you a cheaper price (if you brought gems with crystals) but otherwise I'd say synth them one by one.