Ticks

Tickspeed simulates the pace of time for Dimensions; the faster the Tickspeed, the more Dimensions are produced per second. This is improved by purchasing Tickspeed Upgrades unlocked with the Second Dimension, and with various upgrades and Achievement rewards. Note that the game always runs at 20 ticks per second by default; this rate is based on the Update Rate setting which is by default 50ms per tick (\frac{1000ms}{50ms} = 20\text{tps}), and can be varied from 33ms (\frac{1000ms}{33ms} \approx 30.3\text{tps}) and 200ms (\frac{1000ms}{200ms} = 5\text{tps}) by the player. Changing the update rate does not affect your tickspeed since it is just a visual setting.
==Tickspeed upgrades==
 	 	
Effective Galaxy amount	Antimatter Galaxy 	
Effective Galaxy amount	+Replicanti Galaxy 	x1.4 with TS 132, x1.5 with TS 133
Effective Galaxy amount	+Extra Replicanti Galaxy:
* floor({\log(Replicanti) \over 1000}) with TS 225
* floor((Max RG w/o TS131)/15) with TS 226
* floor(log1.80e308(Infinites30)) with Effarig Infinity completed, exponent become 120 with Time Study 31	x1.5 with TS 303
Effective Galaxy amount	+Tachyon Galaxy 	x(1+log(replicanti)*alternation/2e11) from Alchemy
Effective Galaxy amount	+Galaxy Generator 	
Global Galaxy Strength 	1 	Base
Global Galaxy Strength 	*2 	Infinity Upgrade galaxyBoost
Global Galaxy Strength 	*2+level^0.5/100 	Charged Infinity Upgrade galaxyBoost, based on Teresa Level
Global Galaxy Strength 	*1.5 	Break Infinity Upgrade galaxyBoost
Global Galaxy Strength 	*log2(max(Time Shard,2))^0.005, cap at 1.1	Time Study 212
Global Galaxy Strength 	*(1+AMGalaxy/1000)^0.2 	Time Study 232
Global Galaxy Strength 	*1.01 	Achievement 86
Global Galaxy Strength 	*1.01 	Achievement 178
Global Galaxy Strength 	*1.1 	Infinity Challenge 5
Global Galaxy Strength 	*1+level/50 	Pelle Upgrade Galaxy Power
Global Galaxy Strength 	*1.1 	Decay milestone 2 unlocked and more than 1e1300 replicanti
If you are in Infinity Challenge 3, the tickspeed multiplier will always be 1x, if you are in Ra's Reality, the tickspeed multiplier will always be 1.125x.
Otherwise:
===Pre-Break (Less than 3 Galaxies)===
The formula for when you have less than 3 Antimatter Galaxies follows this order of calculations.
let baseMultiplier in the table below:
Galaxies	baseMultiplier (Normal Run)	baseMultiplier (Challenge 5)
0 	1/1.1245 	1/1.08
1 	1/1.11888888 	1/1.07632
2 	1/1.11267177 	1/1.072
Divide Galaxies amount by 2 while Doomed, and multiply Galaxies amount by 1.02 Special Power Glyph effect if unlocked and equipped.
The tickspeed multiplier is 1/(baseMultiplier - (Galaxies * Galaxy strength (see table above) * 0.02)), capped at 100.
This mean the tickspeed multiplier is below:
Galaxies	1x Galaxy strength	2x Galaxy strength	1x Galaxy strength in C5	2x Galaxy strength in C5
0 	1.1245 	1.1245 	1.0800 	1.0800
1 	1.1445 	1.1713 	1.1000 	1.1247
2 	1.1645 	1.2214 	1.1200 	1.1726
===Post-Break (3 Galaxies or more)===
The formula changes to a multiplier to the interval, which basically means the same thing.
let baseMultiplier to be 0.8 (0.83 while in Challenge 5), and subtract Galaxy count by 2 (Example: 7 Galaxies will use 5 Galaxies to calculate)
Multiply Galaxy strength by below:
*Galaxy strength (see the table above)
*Cursed Glyph "Galaxy strength"
*Reality Glyph "Galaxy strength"
*Imaginary Upgrade 9 Level*0.03+1
*0.5 while Doomed
*1.02 if Power Glyph Special effect is unlocked and equipped
The tickspeed multiplier is 1/(0.965^(((Galaxies-2)*Galaxy strength)-2)*baseMultiplier)
This mean the tickspeed multiplier is below:
Galaxies	1x Galaxy strength	2x Galaxy strength	3x Galaxy strength
3 	1.20625 	1.25000 	1.29534
4 	1.25000 	1.34232 	1.44145
5 	1.29534 	1.44145 	1.60405
6 	1.34232 	1.54791 	1.78499
7 	1.39100 	1.66223 	1.98634
8 	1.44145 	1.78499 	2.21041
9 	1.49373 	1.91682 	2.45975
10 	1.54791 	2.05839 	2.73722