Work by The Theoryjerks Discord.
Written by Gouka Mekkyaku. Ported to this website by Nemekh.
General Information & About The Guide
This document is an update to the previous “How to be a Math Wizard”. Changes include the addition of level 70 formulae, refinement of secondary attribute formulae, & emphasis on mitigation & healing. In future revisions, we hope to capture refined pet formulae, level correction, & order of operation.
Table of References
Final Fantasy XIV formulae rely on tables to tailor them to specific levels, jobs, & clans. That is why using the same stats across different jobs & levels will yield different results. When referencing a table value, the background will be highlighted gray. Large text will refer to the table name & the subscripts will refer to the row & column as such:
Table NameRow, Column
The respective tables can be found in the Resources section of this website. Table names can be found in the dropdown menu, or at the bottom where previous/next page tabs are also present.
Flooring & Ceiling
Flooring refers to the largest integer value less than or equal to a given value. In layman’s terms, it means removing anything after the decimal. To keep formulae relatively clean, I opted to use the flooring parenthesis ⌊ x ⌋.
- Floored Value = ⌊ 23.999 ⌋
- Floored Value = 23
Ceiling is the opposite of flooring – it is the smallest integer value greater than or equal to a given value. In other words, for positive values, round up. When ceiling is necessary, you will see the notation ⌈ x ⌉.
- Ceiling Value = ⌈ 23.111 ⌉
- Ceiling Value = 24
To keep long formulae clean, I opted to remove redundant left-hand flooring & ceiling brackets. It is still expected that you perform the floor or ceiling as if the extra left-hand brackets were present.
Before: ⌊ ⌊ ⌊ x × y ⌋ × z ⌋ × w ⌋ → After: ⌊ x × y ⌋ × z ⌋ × w ⌋