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Mastery Studies-1

The Mastery Studies tree (as of Emperor Dimensions update)

Mastery Studies are a feature briefly added in NG++ , and continued in NG+++. They are similar to Time Studies, but for every Mastery Studies you buy, all of the other Mastery Studies prices get multiplied(all dilation studies not affect Mastery studies cost multiplier).To unlock Mastery Studies, you need to buy the "Unlock Meta Dimensions" for 1e24 Time Theorems and have the 1e100 dilated time upgrade.


(I change it is make Mastery Studies order correctly like you can buy Study 323 without unlock replicants and get more information,some have been reworded/buffed/nerfed like Study 241 and 301,so I change this,also I add missing thing like disappear unlock electron - e308.25)

List of Mastery Studies

Study Number Base Cost (in Time Theorems) Need studies Description Details Multiplier on Prices
241 1e71 - The IP mult multiplier IP gain by 2.2x per upgrade These will no longer active if you have 4 GB gluon upgrade 1x
251 2e71 241 Remote cost scaling starts 1 galaxy later per 3,000 dimension boosts. These will no longer active if you have neutrino upgrade 6 2.5x
252 2e71 241 Remote cost scaling starts 1 galaxy later per 7 free galaxies. These will no longer active if you have neutrino upgrade 6 2.5x
253 2e71 241 Remote cost scaling starts 20 galaxies later per 9 extra replicated galaxies. These will no longer active if you have neutrino upgrade 6 2.5x
261 5e71 251 Dimensional boost costs scale by another 1 less. 6x
262 5e71 251 Dimensional boosts affect Meta Dimensions at a reduced rate. max(((Dimensional boosts)/15000-19),1) 6x
263 5e71 252 Meta-dimension boosts affect dilated time production. (Meta-dimension boosts)+1 6x
264 5e71 252 You gain more tachyon particles based on your galaxies. 2*(((Galaxies)+1)0.25 6x
265 5e71 253 You can buy replicate chance upgrade over 100%. 6x
266 5e71 253 Post-400 max replicated galaxy cost scaling reduced. 6x
e13 1e72 Eternity Challenge 13
e14 1e72 Eternity Challenge 14
d7

(dilstudy7)

2e82 252 Unlock Electrons Studies from this on can only be seen if you quantumed at least once.
271 2.74e76 252,d7 You can buy beyond 1ms interval upgrades but the cost starts to increase faster. 2x
272 2.74e76 252,d7 Pick all paths on all 3-way splits in time studies. 2x
273 2.74e76 252,d7 Replicate chance boosts itself. 2x
281 6.86e76 271/272 Replicanti multiplier boosts DT production at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/10) 4x
282 6.86e76 272/273 Replicanti multiplier boosts Meta Dimensions at a greatly reduced rate. 10((log10(Replicanti multiplier)^0.25)/15) 4x
d8 (dilstudy8) 2e84, 16,750 electrons 272 Unlock Quantum Challenges
d9 (dilstudy9) 4e85, QC8 completed Unlock Paired Challenges
291 2.14e77 272,d9 You gain 1% of your EP gained on eternity each second. This section of mastery studies will unlock when you unlock paired challenges. 1x
292 2.14e77 272,d9 You can gain tachyon particles without disabling dilation. 1x
301 4.29e77 291 Remote cost scaling starts 1 galaxy later per 4.15 extra replicated galaxies. These will no longer active if you have neutrino upgrade 6 2x
302 2.68e78 272,d9 Pick all time studies before mastery studies. Allows you to buy all the time studies up to 241 (the game will automatically buy them for you). 131,072x
303 4.29e77 292 Meta Dimensions are stronger based on your galaxies. 4.7(log10(max((Galaxies),1))^1.5) 2x
311 4.29e77 291 Replicanti multiplier to Infinity Dimensions is 17.3x stronger. 64x
312 4.29e77 292 Meta-dimension boosts are 4.5% stronger and costs scale by 1 less. 64x
321 4.29e77 291 If the multiplier per ten dimensions is 1x,then change it to 1e430x. 2x
323 4.29e77 292 Cancel dilation penalty for Normal Dimensions boost from replicanti. Originally: If not dilated, replicanti greatly boosts Normal Dimensions as 1200x strong. 2x
d10 (dilstudy10) 4e87, PC4 completed 302 Unlock Replicants
322 4.29e77 302,d10 Tickspeed boosts DT production at a greatly reduced rate. Studies from this row on can only be seen if you have unlocked Replicants.

---

i = sqrt(log10(-(Tickspeed)/10000))/20000

But if i is bigger than 110, then i2 = sqrt(27.5i)+55

The result is 10^(i or i2)

2x
331 3.41e81 322 Dimension Supersonic scaling start 340,000 later and increases cost slower by 3 less. 2x
332 9.04e76 322 You gain replicanti faster based on your normal galaxies. ((Normal Galaxies)+1) 2x
341 1.93e81 342 Preons boost DT production at reduced rate. 2log10(sqrt((Replicant quarks)+1)) 1x
342 2.89e81 331 All replicanti galaxies are stronger and use the same formula. 1x
343 7.54e78 332 Free galaxies are as strong as a normal replicated galaxy. 1x
344 5.02e78 343 Replicated galaxies are more effective based on your preons. 1+0.17(log10(1+((Replicant quarks)/1e7))0.25) 1x
351 1.21e80 344 Time Shards boosts all Meta Dimensions. (Time shards)1.4e-8 4x
d11 (dilstudy11) 3e90, 10 worker replicants 344 Unlock Emperor Dimensions
361 1.59e79 351,d11 Hatch speed is faster based on your tachyon particles. Studies from this row on can only be seen if you have unlocked Emperor Dimensions.

---

(Tachyon particles)0.01824033924212366

1x
362 1.59e79 351,d11 Reduce the softcap for replicant quark boost. 1x
371 2.12e79 361 Hatch speed is faster based on your extra replicated galaxies. (1+(Extra replicated galaxies))0.3 2x
372 6.62e79 371 Hatch speed is faster based on your time shards. 1+(sqrt(log10(1+(Time shards)))/20) 2x
373 2.12e79 362 Replicants gather more quarks based on your galaxies. (1+(Extra replicated galaxies))0.55 2x
381 6.62e79 371 Hatch speed is faster based on your tickspeed reduction multiplier. 1+(log10(Tickspeed reduction)/(-135)) 1x
382 6.62e79 383 Eighth Dimensions boost Meta Dimensions. (Eighth Dimensions)3.14159265... 1x
383 6.62e79 373 Blue power boosts Meta Dimensions. 3200log10(1+(Blue power))^0.25 2x
391 8.28e79 381 Hatch speed is faster based on your meta-antimatter. (Meta-antimatter)8e-4 1x
392 8.28e79 391/393 Gathered quarks boost all Emperor Dimensions. 1.6sqrt(log10(1+(Replicant quarks))) 1x
393 8.28e79 383 Workers boost Meta Dimensions. 400000sqrt(log10(1+(Workers))) 1x
d12 (dilstudy12) 3e92, 10 ED8 392 Unlock Nanofield
401 4.97e80 392,d12 The production of preon anti-energy is slower based on your preons. This section of mastery studies will unlock when you unlock Nanofield.

--

(1+(preons)/1e28)0.2

1e10x
402 8.28e80 392,d12 Emperor Dimensions and hatch speed are faster by 25x. 1e10x
411 1.32e71 401 The production of preon energy is faster based on your replicants. (1+(replicants)/1e24)0.2 1x
412 1.66e71 402 Preon effect is 25% stronger. 1x
421 1.99e72 411 Tickspeed boosts preon energy production. i = max(-log10(Tickspeed)/1e13-0.75,1)4But if i is bigger than 100, then i2 = sqrt(100i)

The result is i or i2

1x
d13 (dilstudy13) 1e95, 16 nanofield rewards 402/411 Unlock Tree of Decay
431 1.10e75 402/411,d13 Branches are faster based on your free galaxies. (x/10000)x/10000+log10(x)/2x

x can be increased by getting a Light Empowerment. (See Ghostly Photons)

1x
d14 (dilstudy14) 1e98, The Challenging Day 431 Unlock Big Rip

Trivia

  • "The Theory of Ultimate Studies" achievement can be unlocked by buying 45 total mastery studies. This makes you start Ghostifies with all Time Studies and all Mastery Studies unlocked,If you bought all of Mastery Studies will cost 4.54e115 Time Theorem
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