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Numerology (算術, Sanjutsu?) is a Technick ability in Final Fantasy XII. It costs 40 LP and can be found in the bottom right corner of the License Board along with several other Technick lores. The earliest access to the Technicks skill is after retrieving the Dawn Shard; Numerology will be is available in Rabanastre's Technick shop at a cost of 2,048 gil.

Damage using Numerology is inflicted to all targets in range based on the number of hits the user achieves. It doubles the damage done each time, starting at one and getting higher as the player stacks hits, but it is inaccurate, making attaining high levels of damage difficult. Numerology is one of the few attacks that can break the damage limit.

In the Zodiac versions version Numerology can be used by the Machinist, Monk, Time Battlemage and the White Mage, although the White Mage must acquire the Esper Famfrit's license first.

Every time the skill is used the damage doubles to a maximum of 217, or 131,072 HP damage in a single hit. The 17th hit will always miss. All of the party use the same counter and the count doesn't reset when loading a saved game, meaning a patient player can manipulate the damage by reloading from a previous save whenever the hit misses.

Numerology is also an area-of-effect attack with a chance to hit nearby enemies and the splash damage is twice as much as the original damage, making Numerology potentially the most damaging single attack the player can get. Whenever the attack misses the counter resets to 0. Some enemies are immune to Numerology, but even in that case the surrounding enemies can sustain splash damage as long as they are not immune as well.

$Hit Chance for Nth time = Hit Chance for (N-1)th time - (N/2)$[1]

"Splash" means damage on surrounding targets:

Original
No.
Times
Used
Hit % Cumulative
Hit %
Damage Splash
%
Splash
Damage
0 85% 85% 1 85% 2
1 85% 72.25% 2 84% 4
2 84% 60.69% 4 83% 8
3 83% 50.37% 8 81% 16
4 81% 40.80% 16 79% 32
5 79% 32.23% 32 76% 64
6 76% 24.5% 64 73% 128
7 73% 17.88% 128 69% 256
8 69% 12.34% 256 65% 512
9 65% 8.02% 512 60% 1,024
10 60% 4.81% 1,024 55% 2,048
11 55% 2.646% 2,048 49% 4,096
12 49% 1.296% 4,096 43% 8,192
13 43% .5576% 8,192 36% 16,384
14 36% .2007% 16,384 29% 32,768
15 29% .0582% 32,768 21% 65,536
16 21% .0122% 65,536 13% 131,072
17 0% 0% 0%
Zodiac
No.
Times
Used
Hit % Cumulative
Hit %
Damage Splash
%
Splash
Damage
0 90% 90% 1 90% 2
1 90% 81% 2 89% 4
2 89% 72.09% 4 88% 8
3 88% 63.44% 8 86% 16
4 86% 54.56% 16 74% 32
5 84% 45.83% 32 81% 64
6 81% 37.12% 64 78% 128
7 78% 28.95% 128 74% 256
8 74% 21.46% 256 70% 512
9 70% 15% 512 65% 1,204
10 65% 9.75% 1,024 60% 2,048
11 60% 5.85% 2,048 54% 4,096
12 54% 3.16% 4,096 48% 8,192
13 48% 1.516% 8,192 41% 16,384
14 41% .622% 16,384 34% 32,768
15 34% .211% 32,768 26% 65,536
16 26% .055% 65,536 18% 131,072
17 0% 0% 0%

## EtymologyEdit

Numerology is any study of the purported divine, mystical or other special relationship between a number and some coinciding observed (or perceived) events. It has many systems and traditions and beliefs.

## ReferencesEdit

1. 1.0 1.1 Final Fantasy XII Game Mechanics FAQ
2. Final Fantasy International Zodiac Job System Ultimania. p087.
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