Numerologist (Artificer Specialist)

Tool Proficiency

When you adopt this specialization at 3rd level, you gain proficiency with Jeweler's tools. If you already have this proficiency, you gain proficiency with one other type of artisan's tools of your choice.

Numerologist Spells

Starting at 3rd level, you always have certain spells prepared after reaching particular levels in this class, as shown in the Horologist Spells table. These spells count as artificer spells for you, but they don't count against the number of artificer spells you prepare.

A Paper About Difference Engines:

At 3rd level, your tinkering with mechanical calculators had paid off; you now possess a magical device called a Difference Engine which grants you A limited ability to predict the outcome of an event by use of arcane formula.

At the start of a round, choose a type of die (d4, d6, d8, d10, d12, d20, or a d100) roll said die and note the number rolled.

Whenever a roll is made using the same type of die, you can use your reaction to replace the result of the roll with the roll made at the start of the round.

You can use this reaction an equal number of times as your Intelligence modifier per short rest.

On Averages:

At 5th level, you have found methods of applying your Difference Engine to average the outcomes of your actions.

Whenever you are required to roll a die or dice for a single roll, you can instead take the average of the die or dice to be rolled (rounding up) and use that as the result.

You can use this ability an equal number of times as your proficiency bonus per long rest.

In Regards to Programing:

Starting at 9th level, you learn how to use your artificer infusions to specially modify your Difference Engine; the Difference Engine can now take on as many infusions as you wish.

In addition, the maximum number of items you can infuse at once increases by 2, but those extra items must be part of your Difference Engine.

Multiplexing, A Thesis:

Starting at 15th level, you're a master utilizing your Difference Engine efficiently and gain these bonuses while using it:

• Rather than choosing a type of die, roll one of every type of die. This does not increase the number of dice you can change with a reaction; it just expands your options.

• If the roll you are changing is affected by one or more advantages or disadvantages, you can remove all said advantages or disadvantages; you can use this ability an equal number of times as your proficiency bonus per long rest.

Image Credits

IEEE History Center
SCIENCE PHOTO LIBRARY
Bettmann, Getty Images
And the man himself, Charles Babage
Curt Herzstark

Prerequisites: A Difference Engine

When added to your Difference Engine, this infusion lets you store one current die number as a reaction to the round ending. This die number can be used in conjunction with the die number rolled at the start of a new round.

This does not increase the number of dice you can change with a reaction; it just expands your options. All die numbers are lost when combat ends.

This infusion can be taken multiple times; if applied to the same Difference Engine, you can store one additional die number using the reaction.

Prerequisites: A Difference Engine

When added to your Difference Engine, this infusion lets you adjust your die number by your intelligence modifier, either up or down.

If the number exceeds the limit of the die chosen (e.g. a -3 or a 9 on a d6), the roll is wasted and the die discarded.

the amount changed is done after the die type is chosen but before the die is rolled.

Prerequisites: A Difference Engine

When added to your Difference Engine, this infusion lets you change a roll you or an ally would make with advantage to gain a flat +5 bonus instead.

Consequently, you can also make a foe who would make a roll with disadvantage instead gain a flat -5 penalty to their roll.

You can use this ability an equal number of times as your proficiency bonus per long rest.

Prerequisites: A Difference Engine

When added to your Difference Engine, this infusion allows you to remove all penalties for you or your allies when using a ranged weapon attack at long range.

You can use this ability an equal number of times as your proficiency bonus per long rest.

Prerequisites: A Difference Engine

When added to your Difference Engine, this infusion lets you re-roll a stored die number as a bonus action.

Prerequisites: A Difference Engine, 6th level

When added to your Difference Engine, this infusion grants your Difference Engine the ability to concentrate on a single spell.

You must use your bonus action to offload a spell you are concentrating on to the Arcane Cogitator.

If you cannot operate the Difference Engine at any point during its concentration, such as if you become paralyzed, unconscious, petrified, or were to become separated from the Difference Engine, the Difference Engine instantly loses concentration.

Baring that, the Difference Engine is not required to make concentration checks if the user is damaged.

while the Arcane Cogitator concentrates on a spell, it can not be used for any other task, and all stored die numbers are erased.