Incrementy

**Incrementy** is a mechanic that is unlocked through Booster Upgrades. It is an increasing number (grows quadratically, in a similar fashion to

time

2

{\displaystyle {\text{time}}^{2}}

) that is produced only when the Ordinal is **ψ(Ω)** or larger. Incrementy is reset when a Factor Boost/Collapse is performed, starting a Challenge/Omega Challenge, or resetting Booster Upgrades or the current Collapse run.

The full, detailed formula for the determined Incrementy production is:

(

O
r
d

1

e

270

)

O
C
6
B

×
(

O
C
2

2

)

I
U
2

×

log

10

⁡
(

ℵ

2

10

)

A
U
5
?

×

D
F
C

I
U
8
?

min

(
0
,
min

(

C
8

2

,

C
8
1

4

,

C
8
5

8

,

C
8
17

16

,

C
8
49

32

)
×
(
1
−

C
8
?

)

{\displaystyle ({\frac {\mathrm {Ord} }{1\mathrm {e} 270}})^{\mathrm {OC6B} }\times (\mathrm {OC2} +2)^{\mathrm {IU2} }\times \log \_{10}(\aleph \_{2}+10)^{\mathrm {AU5?} }\times \mathrm {DFC} ^{\mathrm {IU8?} +\min {(0,\min {(\mathrm {{\frac {C8}{2}},{\frac {C8+1}{4}},{\frac {C8+5}{8}},{\frac {C8+17}{16}},{\frac {C8+49}{32}}} }})\times (1-\mathrm {C8?} )}}

where:

O
r
d

{\displaystyle \mathrm{Ord}}

 represents the value of the `game.ord` variable in the game's code,

I
U
2

{\displaystyle \mathrm {IU2} }

 represents the amount of Incrementy production upgrades that have been bought,

D
F
C

{\displaystyle \mathrm {DFC} }

 represents your current Dynamic Factor Cap,

I
U
8
?

{\displaystyle \mathrm {IU8?} }

 is 1 if you have IU8 (*Dynamic Factor cap multiplies Incrementy gain*) and 0 otherwise,

A
U
5
?

{\displaystyle \mathrm {AU5?} }

 is 1 if you have AU5 (*ℵ2 boosts Incrementy gain*) and 0 otherwise,

C
8
?

{\displaystyle \mathrm {C8?} }

 is 1 if you are currently in Challenge 8 and 0 otherwise,

ℵ

2

{\displaystyle \mathrm {\aleph \_{2}} }

 represents your ℵ2 Power,

C
8

{\displaystyle \mathrm {C8} }

 is Challenge 8 completions,

O
C
2

{\displaystyle \mathrm {OC2} }

 is -1 if you are in OC2 and your OC2 completions otherwise, and

O
C
6
B

{\displaystyle \mathrm {OC6B} }

 is your OC6 bonus, which is

max

(
1
,
min

(

O
C
6

,
1.1
)

{\displaystyle {\sqrt {\max {(1,\min {(\mathrm {OC6} ,1.1)}}}}}

 where

O
C
6

{\displaystyle \mathrm {OC6} }

 is your OC6 completions. The Bold part is Base Incrementy production and Underline part is Incrementy production multiplier.

Besides providing a passive boost to Tier 2 Automation, Incrementy can be used to upgrade its own bonus.

Incrementy boosts Tier 2 Automation through the formula

l
o
g

10

(

i

10

)

1.05

I
U
1

⋅

1.2

I
U
3

{\displaystyle \mathrm {log} \_{10}(\mathrm {i} +10)^{{1.05}^{\mathrm {IU1} }}\cdot {1.2}^{\mathrm {IU3} }}

, where

i

{\displaystyle \mathrm{i}}

 is your current amount of Incrementy,

I
U
1

{\displaystyle \mathrm {IU1} }

is the amount of Incrementy Raised upgrades that have been bought and

I
U
3

{\displaystyle \mathrm {IU3} }

 is the amount of Incrementy Multiplier upgrades that have been bought, they will be hardcapped at 1e120 if you are not in Incrementyverse. In Incrementyverse, the 1.2 can be changed by the effect of SFU102 if you have this Function.

## Table of Incrementy Upgrades

Below is a list of all Incrementy upgrades. The first three upgrades do not require the Incrementy extension Booster Upgrade and can be bought as many times as you can.

### Upgrades pre-Extension

Incrementy Upgrades

n

1.05

u

{\displaystyle \mathrm {n} ^{1.05^{\mathrm {u} }}}

, where

n

{\displaystyle \mathrm{n}}

 is your Incrementy multiplier (without the 3rd upgrade pre-Extension), and

u

{\displaystyle \mathrm{u}}

i

∗

1.2

u

{\displaystyle \mathrm {i} \*1.2^{\mathrm {u} }}

, where

i

{\displaystyle \mathrm{i}}

 is the Incrementy Multiplier, and

u

{\displaystyle \mathrm{u}}

 is how many times you've bought this upgrade.

### Upgrades post-Extension

Post-extension Incrementy upgrades, unlike the pre-extension upgrades, can only be bought once and require the Incrementy extension Booster Upgrade.

## Conclusion

Incrementy is very useful mid-game, when you unlock the extension Booster Upgrade. Additionally, Incrementy becomes the main currency end-game within the Incrementyverse event.

## Trivia

* In past versions, they have a Incrementy cap which is 1.000e25 \* (Dynamic Factor cap)**IU8**, **IU8** = 1 if you have IU8, and 0 otherwise, however it's now removed before the game is moved to GitHub to reduce timewalls.
* In past versions, if the cost is over 1.000e257, the display will mess up and take a post-**ψ(Ω)** appearance much like OP, and if the cost is over 1.798e308, the display will be normal, but can't be buyable even if Incrementy uses ExpantaNum, now both was fixed along with Incrementy Upgrade costs using ExpantaNum.
* Incrementy may be the longest *relevant* feature in Ordinal Markup.
* Change about Incrementy, Incrementy/s and Incrementy Upgrade cost from 3 to 2 decimal places:
	1. v0.24: Due to Non-repeatable Incrementy Upgrade cost doesn't getting formatted, when it out, it always rounds to 2 decimal places.
	2. v0.30: Incrementy supports ExpantaNum, but it takes a different Number formatting.
	3. v0.31: Due to the addition of the `getIncrementyRate(x)` Function and it containing EN(x) (ExpantaNum(x)), it now uses 2 decimal places as formatting.
	4. v0.34: As players can surpass 1.000e257 Incrementy with its new released end-game mechanics and fixed strange Incrementy Upgrade cost, rIU costs are now using ExpantaNum. When you buy an upgrade, their cost also uses ExpantaNum, which allows players to buy Rebuyable Incrementy Upgrades that costs over 1.798e308 Incrementy.
* During v0.33, it was actually possible to exploit Incrementy amounts after getting BM2, which is Minimum Singularity in one tick, but this is now fixed.

- ↑ At v0.32 and v0.33, even in Challenge 8, it is still applied.

- ↑ This is changed most likely due to permanent nerf on Decrementy after SM1 and hinder the progress on Darkness stage onward.

## Glitch

Note: This happened in a previous version but is now fixed.

Player in Challenge 8, but Dynamic Factor cap to Incrementy production isn't 1xYou can see IU1 cost display as 1.000e257 (cap in base 3) and IU3 cost display as gBHO(10)