I think it's safe to say that the amount of damage dealt is probably more than 10 times the number of atoms in the known universe seeing as how much storm you're going to generate when you repeat the above iterations 5 more times thanks to yawg's will as well. But I am, again, too lazy to calculate it out beyond this point seeing as going through just the above sequence took a couple of hours or so.
It'd be interesting to see if you could get it above 10^80 (number of atoms). You're certainly getting much larger numbers pre-Praetor's Counsel than I was due to different sequencing. You could try mixing around Copy Enchantment effects to see if that would provide a larger output or something like Pull from Eternity to recycle Praetor's Counsels.
Also, if anyone is interested, here is a link to an updated version of the combo posted by Wildfire393.
If copy enchantment copied furnace of rath 4 times let's say and then we had just 4 gauntlet effects it would be 3328 damage per copy of beacon. So yeah that's 9.904 times more damage than previous and it doesn't hurt storm count at all since you replace swath with it so gauntlet is still bounced by retract effects. Pretty absurd damage wise then with the numbers post above when you multiply them by 9.904.
EDIT: With the new furnace of rath from JOU the amount of damage per beacon is now up to 20,480 per copy. Hurts storm count but it's quite worth it since it's 6.15 times more damage per copy.
Saw this post/article over on Quiet Speculation and wanted to bring it to the attention of this thread and those demented individuals who care about these sort of engines. This is limited to 7 cards but still seems rather large.
I would cross post to the "How fast can a combo be?" thread in the EDH forums, but it might not stack up that well and this is already confusing as heck.
I guess this sort of thing boils down to which way do you want to approach a problem. For most of us the problem is usually dealing only 20 or 40 x 3 damage, this is for when your problem is a bit larger.
NOTE:
1. Unless otherwise stated "tapping Kiki" implies activating his ability targeting DS (Doubling Season).
2. "Tapping Satyr" implies using his ability targeting Academy, then tapping Academy.
3. Whenever Parallel Evolution is cast or copied, stack triggers such that DS's enter first, followed by Primal Vigors, then Parallel Lives, then all others.
4. Whenever a massive untap spell or copy resolves, tap all untapped Kikis and Satyrs, along with the Academy.
I. Opener: --------------------------------------------
Black Lotus > Show and Tell > Omnicience > Enter the Infinite, placing a copy of Praetor's Counsel into library.
Cast Vedalken Orrery, Mycosynth Lattice, Mirror Gallery, Opalescence, Minion Reflector, Djinn Illuminatus, and all token doublers, except for 3 copies of Doubling Season.
Play Tolarian Academy, and tap it.
Play the remaining DS's, each with MR (Minion Reflections).
II. Initiation: --------------------------------------
Cast Kiki-Jiki, Mirror Breaker with MR. Tap all Kikis, all targeting Doubling Season. Repeat for each Kiki.
Cast Voyaging Satyr with MR. Tap all copies.
III. Pseudo-Storm: -----------------------------------
{C
....{B
........{A
........Cast Enter the Infinite (unless you've just initialized). If this is the last copy of the third casting of PC (Praetor's Counsel), Place Show and Tell in the library.
..........Otherwise, place a copy of PC in the library and cast Show and Tell (for null value without storm).
........Cast and tap Black Lotus.
........Cast Turnabout replicated as many times as mana allows. Repeat for all additional Turnabouts.
........} Repeat, replacing Turnabout with the spells under STORM in the listed order, until those spells are spent. Then Cast Revive, replicated 11 times, returning each copy of Vitalize, Mobilize, and Parallel Evolution and repeat once more.
....Cast Call to Mind, replicated 22 times, returning Revive and each spell under "STORM." Repeat A.
....Cast Treasured Find, replicated to target each card in grave.
....} Repeat until Treasured Finds are depleted.
If there are no copies of PC on the stack, cast PC, replicating it as many times as mana allows while leaving 4 mana open. Otherwise, allow a copy of PC to resolve.
} Repeat until all PC's have been exiled and no copies are on the stack.
IV. Attack: ------------------------------------------
Move to combat. Attack with everything you can.
Lose anyways by drawing out in two turns.
Opponent reveals hand. 7 basics.
"That's not how you do 'Lands.dec.'"
Opponent is silent as he reveals cards from the top of his library. Still more basics.
12 cards in: "There it is!", indicating a foil M14 Island.
He smiles and calls it "Treasure Island."
Another thing I've considered is the addition of Arcbound Ravager. Before each resolution of PC cast Ravager with MR, then sacrifice all nontoken creatures except for Mirror Gallery, Tolarian Academy, Vedalken Orrery, and Omniscience, sacrificing counter doublers last, to a single token copy of Ravager. Recast those permanents with MR once the copy of PC has resolved.
Once attacking, sacrifice all other permanents to a token copy of Arcbound Ravager, except for Mycosynth Lattice, Opalescence. (Order: Sacrifice Kikis, then other non-counter-doublers, then all other Arcbound Ravagers, then all other counter doublers.)
Sacrifice Mycosynth Lattice.
Attack with a single supermassive Arcbound Ravager.
The problem with this is that I don't know what I could remove that isn't more efficient.
First off, there's no such thing as "stacking triggers" for Parallel Evolution: it is a one-shot action that creates all tokens simultaneously.
Other than that, let's get the optimal order for things (spoilers: it doesn't quite work, in a couple different ways, but there are fixes that can be made for that).
So you get the four artifacts down, fine, then Academy and Opalescence and there's still no triggers. Now play all 18 permanents, getting 18 Minion Reflector triggers and responding to each one (before you have to decide whether to pay 2 or not) with the next. Make sure the Doubling Season variants all come last in that sequence, so the triggers resolve first. Respond to the last trigger with four Kiki taps, all targeting DS, to get 4096 tokens, then 2^4096, 2^2^4096, and finally 2^2^2^4096; each of those terms outclasses the one before it into complete irrelevance.
Now tap Tolarian Academy to get 2^2^2^4096 mana (plus a smidge extra), which pays for all the Minion Reflector triggers and then some. The first twelve triggers all produce DS tokens, doubled a number of times equal to their existing population, for a total of roughly 2^^18 of those, and then you get 2^^19 copies of Kiki-Jiki from the thirteenth Minion Reflector trigger. Promptly tap all of these to get more DS tokens, and only then let MR14 resolve, for 2^^2^^19 Kiki-Jiki tokens. Repeat the process before getting Kiki batches 3 and 4, so that there are more than 2^^^6 tokens of Kiki-Jiki after MR16, and then 2^^^7 copies each of Voyaging Satyr and Djinn Illuminatus. Much better than the prescribed sequence where you had Djinn coming down before it even had a chance to be reflected. (What, you thought multiple instances of replicate were redundant?)
Tap all the Voyaging Satyrs to get more mana. 2^^^7 squared is obviously larger than 2^^^7, but not by enough to change the notation that can be used to estimate it. Now from among the "STORM" spells, it's actually best to play Parallel Evolution first, obviously replicating for as much as possible until there's no more than 5 mana in the pool.
The first replicate copy resolves, multiplying each individual token by 2^^^7. Notably, every one of the original tokens was created by either Kiki-Jiki or Minion Reflector, which both grant haste at the level of a copiable value, so all Parallel Evolution tokens will likewise have haste, and the new Kikis can clone and Satyrs can make mana. Because Kikis can, in fact, be sequential (unlike Parallel Evolution itself, which is simultaneous as mentioned before), this is the driving force in allowing the next replicate copy to turn each token into 2^^^8, and so on: after the stack is clear, there are over 2^^^2^^^7 tokens, or more than 2^^^^4. Three more Parallel Evolutions make this 2^^^^7.
Compared to that, the "untap all creatures" spells are a pittance. Yes, they allow Kiki to make more DS tokens, but he can't clone himself (for good reason), and copies of Kiki are the main driving force at this level. Each one allows the Voyaging Satyrs to produce more mana to replicate the next one, but they still don't get to 2^^^^8.
When the last copy of Turnabout untaps your creatures for the last time, go ahead and tap all but one Kiki again to make more Doubling Seasons as usual. The last one, though, should target Djinn Illuminatus, making sure that Djinn is the most populous creature on the board right now (albeit by a margin that can't be succinctly expressed). Now tap exactly 24 Voyaging Satyr tokens to get mana from Tolarian Academy, and play Revive.
Each instance of replicate triggers separately, but all the costs have to be paid up front on announcement. Revive has an instance of replicate for each copy of Djinn Illuminatus; choose to pay exactly 12 times into each instance. Omniscience makes the "mana cost" free, so the total cost just ends up being 24 times the number of copies of Djinn Illuminatus, and the 24 times tapping Academy after the last batch of tokens more than took care of that.
The first replicate trigger resolves, creating 12 copies of the spell and targeting all twelve green cards in the graveyard (yes, even the one that got chosen for the original Revive target). Replaying all four Parallel Evolutions now increases the token count to 2^^^^11, with the untappers having minimal effect. Importantly, though, all those cards are now back in the graveyard. Their object identities have been reset, but only now does the second replicate trigger resolve, meaning that only now do we have to choose targets for the 12 copies of Revive, and those freshly-played cards are there for the choosing once again. By doing it this way, Revive's value is not cut short at just 11 replicate copies total, but the next batch of copies will increase to 2^^^^15, 2^^^^19...and that 19 increases by four after each replicate trigger. Then we have roughly 2^^^^2^^^^7 when that's done, finally going up a level to exceed 2^^^^^4.
Same deal now with Call to Mind: make sure Djinn Illuminatus is the last and most numerous thing to get copied, then use 69 Voyaging Satyrs (23 * 3) to make sure there's enough mana to cover all useful replicate costs. The copies will return a number of less powerful cards, plus Revive, and the second Revive play will go to 2^^^^^5, with the last one gaining an arrow and stopping above 2^^^^^^4.
In the same way, Call to Mind gets reused by Treasured Find to go to 2^^^^^^^4, and...whoops! By replicating to excess, one of the things you're able to do, without deviating from that decklist, is replicate Treasured Find's original target out from under it. The original spell will then fizzle, and will not be exiled. A second copy of Treasured Find can then bring back the first one while being careful to fizzle itself, and so on for a loop that can be repeatable without limit.
The simplest way to fix this problem is by replacing Treasured Find with Ill-Gotten Gains, which is not targeted and cannot be made to fizzle, so (along with the fact that you have no counterspells) it's a safe inclusion. Anyway, when all the Ill-Gotten Gains and Praetor's Counsels have been used up, you can go ahead and flash back all the Parallel Evolutions, producing a gain that's by now too small to be noticed, but a cutesy gesture nonetheless. (In fact, even better would have been to replace Call to Mind with Mystic Retrieval, which lets you use 8 Parallel Evolutions at this point, a still-insignificant gain that does at least offset the loss of efficiency caused by it being more expensive to replicate earlier.) Then all that remains is swinging for the fences with DS variants on the ground, and Djinn Illuminatus in the air. Actually, Voyaging Satyr doesn't do much after you've used up all the spells that can sink mana, so go ahead and swing with those too.
Your final result, after this correction (but overlooking one more thing that doesn't work at all), would be about 2^^^^^^^11 when optimized for proper play, which in Ackermann terms is about A(9,8).
An obvious oversight was that you could have replaced Opalescence with March of the Machines, animating everything in one fell swoop. This could have created a Minion Reflector trigger on Tolarian Academy, if not for the fact that it would be summoning sick and unable to tap for that first 2 to perpetuate itself, and that it would have animated into a 0/0 creature anyway, but both of these issues have workarounds. You'd also gain the possibility of getting a Minion Reflector trigger on Minion Reflector, allowing that initial batch of tokens to build up more quickly while still taking up fewer deck slots.
More importantly, even if Parallel Evolution wasn't as good as you hoped for (by letting you drop the DS tokens first, and only then dropping the other tokens now that there are more DSs to replace their arrival), what if there was something that did work that way? This is where Precursor Golem + Xenograft comes in handy: Like Djinn Illuminatus with the graveyard recursion, this gives you a number of separate on-cast triggers that don't determine what their effect is until their individual resolution (for example, one trigger gives copies of a spell for each Golem, you can do some things in between, and the next trigger does the same except now "for each Golem" might be referring to a much bigger number). And unlike Djinn Illuminatus, you don't even have to pay anything for Precursor to copy your spells!
Doing it this way, of course, you'll want to move away from global spells, in favor of those with single targets such as Burst of Energy or Gerrard's Command (choose two: untap AND get +3/+3!) Although...as you saw, untapping creatures pales in comparison to simply making more of them. Rite of Replication's antics with Precursor are well-known, but once the tokens are all down and everything's an artifact anyway, Sundering Growth is a bewildering spectacle to behold. Notice that populate is not a target, so even for the copies that target something "pointless" like the 3/3 golem tokens, you can still get business out of them. (Hint: Populate should always go after DS except for the last few copies, which replenish the ranks of everything else just in time to save their last remaining specimens from being destroyed.) Crucially, Sundering Growth is a multicolored spell, which means you can insert Reborn Hope to bring it back, before proceeding to Revive and Mystic Retrieval.
Then at the end, there are only so many variants of Praetor's Counsel that exist in the game. Observe that by using Holistic Wisdom, any sorcery in your hand can serve as a very close facsimile of Praetor's Council, for the purpose of bringing back Mystic Retrieval--even the Show and Tell that's already served its purpose, along with the first Rite of Replication that was used to make sure every creature on the board exists in token form to be used with populate, can be repurposed for this. Especially so if you add Kurkesh, Onakke Ancient to use with Holistic Wisdom.
Then all that's left to consider is rectifying the issue of having animated 0/0 lands. Clearly, if there's going to be a creature that can produce mana directly, Voyaging Satyr isn't needed. Its slot can instead be spent on a source of global pump so that the Academy survives, or a source of haste...say, why not both! After drawing the deck, drop March, Lattice, and Orrery as the first things, then play Minion Reflector which triggers for itself. Since you have Orrery by now, respond to this trigger with Xenograft, choosing...not Golem, but Goblin! Xenograft, like everything else, is a creature so it will set off another MR trigger, and you can respond to this with Goblin Chieftain. That's finally sufficient to allow Tolarian Academy to come down as a 1/1 haste Goblin that can immediately tap for 8 mana...or rather 9, since Mirror Gallery kind of needs to be here for this too. That's enough to pay four MR triggers, but only 3 are needed, so get a token copy each for Tolarian Academy, Minion Reflector, and Xenograft so that all your creatures are now Goblin Golems, and hang on to 3 floating mana. Now any DS slots you wish to use will each be witness to two Minion Reflector triggers instead of one, and even Kiki-Jiki's slots aren't needed and can be replaced with pitch cards for Holistic Wisdom.
And sure, you can do much better by dividing the battlefield into fine-grained classifications instead of trying to consolidate them all under the banner of "artifact" or "Artifact Creature - Goblin Golem". But if you're going to focus on a single battlefield operation like tapping Kiki-Jiki, it turns out that Precursor Golem provides an engine that's a bit more powerful to build around, at least until you get into things like Sinking Feeling with toughness pumps (which won't work under March-Lattice, since March animates every artifact without exception, and an animated Aura is dead by rule).
[EDIT] Nope, there's a sizable bombo that was hiding in there all along: Mycosynth Lattice makes everything colorless, so how is Revive ever going to have a green card to return (or multicolored cards for Reborn Hope, if you should find a way to work that in)? Painter's Servant isn't an option: setting it to green (with a later timestamp than Lattice) just means that Revive becomes able to return Call to Mind, back and forth in another endless cycle. So Lattice will have to go then, although Opalescence + Enchanted Evening can give the same global pump (and additionally make sure that all the Golems are still legal targets for Sundering Growth).
Innate enchantments, including DS, get animated anyway, so Enchanted Evening clearly isn't needed for that (though the lone Opalescence doesn't animate itself; this conveniently means it's not a Golem, and Precursor won't try to send unrelenting waves of Sundering Growth its way to make things come screeching to a near-halt). All that's left is to determine which artifacts and lands are needed, out of Minion Reflector, Vedalken Orrery, Mirror Gallery, and Tolarian Academy. Orrery is a simple replacement: it has an enchantment version in Leyline of Anticipation, so you might as well make that change.
For Tolarian Academy, in the absence of Mycosynth Lattice, there's the obvious correction that it needs to be able to handle colors other than blue. As it turns out, if there are going to be enough copies of Xenograft floating around to grant every creature type at once, Wirewood Channeler is just as good--and in fact better, since it covers all the colors of mana. Tolarian Academy can then be cut, removing one legendary permanent. If you go with Kurkesh to boost Holistic Wisdom, there's still one legend left and Mirror Gallery is still needed for that; otherwise the only possible substitute is Rings of Brighthearth, which is still an artifact. Either way, one artifact will still remain, and there will need to be some way to animate that.
Minion Reflector is mainly used for getting the first copies of each creature in token form, and tacking haste onto them. Heat Shimmer or Twinflame to lead things off in the presence of Precursor Golem will serve the same purpose, and Heat Shimmer happens to be a sorcery which will prove more useful at the end. Since Wirewood Channeler can be used instead of a 0/0 Tolarian Academy, the first Xenograft in this scenario can be set to Golem, and Heat Shimmer will provide the ones for Elf and anything else before it's necessary to produce mana. So it is just that one artifact that needs to be used in the skeleton.
Ink-Treader Nephilim adds precisely nothing to a setup built around that. It's just a watered-down Precursor in that situation: the effect on resolution is the same, but if you target a Golem with something, all your other Precursors will trigger on that spell too, adding round after round of copies. But no matter how many Ink-Treaders you have, only one of them can possibly trigger on a single casting: the one you declare as the original target. Making copies of that is signifcantly less powerful.
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It'd be interesting to see if you could get it above 10^80 (number of atoms). You're certainly getting much larger numbers pre-Praetor's Counsel than I was due to different sequencing. You could try mixing around Copy Enchantment effects to see if that would provide a larger output or something like Pull from Eternity to recycle Praetor's Counsels.
Also, if anyone is interested, here is a link to an updated version of the combo posted by Wildfire393.
Edit: on second thoughts, Pull from Eternity would go infinite since you could just return it with the Praetor's Counsel you're recurring. Riftsweeper also wouldn't work since you could just point one of your Beacon of Destructions at it to get it into the graveyard for a Regrowth effect.
EDIT: With the new furnace of rath from JOU the amount of damage per beacon is now up to 20,480 per copy. Hurts storm count but it's quite worth it since it's 6.15 times more damage per copy.
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Saw this post/article over on Quiet Speculation and wanted to bring it to the attention of this thread and those demented individuals who care about these sort of engines. This is limited to 7 cards but still seems rather large.
http://www.quietspeculation.com/2014/04/whats-the-most-non-infinite-combat-damage-you-can-deal-on-turn-1/
As shown in this handy little visual guide
http://i.imgur.com/mvsy0i7.jpg
3 Billion Digits of Damage.
I would cross post to the "How fast can a combo be?" thread in the EDH forums, but it might not stack up that well and this is already confusing as heck.
I guess this sort of thing boils down to which way do you want to approach a problem. For most of us the problem is usually dealing only 20 or 40 x 3 damage, this is for when your problem is a bit larger.
Still one of my favorite examples of how to tackle this challenge.
Mogis, God of Slaughter
Daxos of Meletis
- Lotus, Show and Tell, Omniscience, Vedalkan Orrery, Enter the Infinite to start.
- Precursor Golem, Doubling Season, Conspiracy (selected creature type: Golem), Opalescence. All Doubling Seasons are now Enchantment Creature: Golem.
- Rite of Replication on a Precursor Golem token
- Tolarian Academy. Mana pool has a ridiclously large finite amount of blue mana.
- Mirrorweave a Precursor Golem into a Doubling Season.
- Precursor Golem
- Rite of Replication, with kicker, on a Precursor Golem token
- Continue doing silly stuff from here.
As with most others here, I haven't bothered trying to calculate the final damage delt because lazy.
Deck: ---------------------------------------------------
OPENING HAND: (4)
SPECIAL: (3)
STORM: (22)
LIMITED RECURSION: (6)
KIKI OPAL: (25)
------------------------------------------------------
NOTE:
1. Unless otherwise stated "tapping Kiki" implies activating his ability targeting DS (Doubling Season).
2. "Tapping Satyr" implies using his ability targeting Academy, then tapping Academy.
3. Whenever Parallel Evolution is cast or copied, stack triggers such that DS's enter first, followed by Primal Vigors, then Parallel Lives, then all others.
4. Whenever a massive untap spell or copy resolves, tap all untapped Kikis and Satyrs, along with the Academy.
I. Opener: --------------------------------------------
Black Lotus > Show and Tell > Omnicience > Enter the Infinite, placing a copy of Praetor's Counsel into library.
Cast Vedalken Orrery, Mycosynth Lattice, Mirror Gallery, Opalescence, Minion Reflector, Djinn Illuminatus, and all token doublers, except for 3 copies of Doubling Season.
Play Tolarian Academy, and tap it.
Play the remaining DS's, each with MR (Minion Reflections).
II. Initiation: --------------------------------------
Cast Kiki-Jiki, Mirror Breaker with MR. Tap all Kikis, all targeting Doubling Season. Repeat for each Kiki.
Cast Voyaging Satyr with MR. Tap all copies.
III. Pseudo-Storm: -----------------------------------
{C
....{B
........{A
........Cast Enter the Infinite (unless you've just initialized). If this is the last copy of the third casting of PC (Praetor's Counsel), Place Show and Tell in the library.
..........Otherwise, place a copy of PC in the library and cast Show and Tell (for null value without storm).
........Cast and tap Black Lotus.
........Cast Turnabout replicated as many times as mana allows. Repeat for all additional Turnabouts.
........} Repeat, replacing Turnabout with the spells under STORM in the listed order, until those spells are spent. Then Cast Revive, replicated 11 times, returning each copy of Vitalize, Mobilize, and Parallel Evolution and repeat once more.
....Cast Call to Mind, replicated 22 times, returning Revive and each spell under "STORM." Repeat A.
....Cast Treasured Find, replicated to target each card in grave.
....} Repeat until Treasured Finds are depleted.
If there are no copies of PC on the stack, cast PC, replicating it as many times as mana allows while leaving 4 mana open. Otherwise, allow a copy of PC to resolve.
} Repeat until all PC's have been exiled and no copies are on the stack.
IV. Attack: ------------------------------------------
Move to combat. Attack with everything you can.
Lose anyways by drawing out in two turns.
Opponent reveals hand. 7 basics.
"That's not how you do 'Lands.dec.'"
Opponent is silent as he reveals cards from the top of his library. Still more basics.
12 cards in: "There it is!", indicating a foil M14 Island.
He smiles and calls it "Treasure Island."
-----------------------------------------------------------
Another thing I've considered is the addition of Arcbound Ravager. Before each resolution of PC cast Ravager with MR, then sacrifice all nontoken creatures except for Mirror Gallery, Tolarian Academy, Vedalken Orrery, and Omniscience, sacrificing counter doublers last, to a single token copy of Ravager. Recast those permanents with MR once the copy of PC has resolved.
Once attacking, sacrifice all other permanents to a token copy of Arcbound Ravager, except for Mycosynth Lattice, Opalescence. (Order: Sacrifice Kikis, then other non-counter-doublers, then all other Arcbound Ravagers, then all other counter doublers.)
Sacrifice Mycosynth Lattice.
Attack with a single supermassive Arcbound Ravager.
The problem with this is that I don't know what I could remove that isn't more efficient.
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Prossh, Skyraider of Kher
Gahiji, Honored One
Daretti, Scrap Savant
For Autocarding: Æ û (Lim-Dûl's Vault)
First off, there's no such thing as "stacking triggers" for Parallel Evolution: it is a one-shot action that creates all tokens simultaneously.
Other than that, let's get the optimal order for things (spoilers: it doesn't quite work, in a couple different ways, but there are fixes that can be made for that).
So you get the four artifacts down, fine, then Academy and Opalescence and there's still no triggers. Now play all 18 permanents, getting 18 Minion Reflector triggers and responding to each one (before you have to decide whether to pay 2 or not) with the next. Make sure the Doubling Season variants all come last in that sequence, so the triggers resolve first. Respond to the last trigger with four Kiki taps, all targeting DS, to get 4096 tokens, then 2^4096, 2^2^4096, and finally 2^2^2^4096; each of those terms outclasses the one before it into complete irrelevance.
Now tap Tolarian Academy to get 2^2^2^4096 mana (plus a smidge extra), which pays for all the Minion Reflector triggers and then some. The first twelve triggers all produce DS tokens, doubled a number of times equal to their existing population, for a total of roughly 2^^18 of those, and then you get 2^^19 copies of Kiki-Jiki from the thirteenth Minion Reflector trigger. Promptly tap all of these to get more DS tokens, and only then let MR14 resolve, for 2^^2^^19 Kiki-Jiki tokens. Repeat the process before getting Kiki batches 3 and 4, so that there are more than 2^^^6 tokens of Kiki-Jiki after MR16, and then 2^^^7 copies each of Voyaging Satyr and Djinn Illuminatus. Much better than the prescribed sequence where you had Djinn coming down before it even had a chance to be reflected. (What, you thought multiple instances of replicate were redundant?)
Tap all the Voyaging Satyrs to get more mana. 2^^^7 squared is obviously larger than 2^^^7, but not by enough to change the notation that can be used to estimate it. Now from among the "STORM" spells, it's actually best to play Parallel Evolution first, obviously replicating for as much as possible until there's no more than 5 mana in the pool.
The first replicate copy resolves, multiplying each individual token by 2^^^7. Notably, every one of the original tokens was created by either Kiki-Jiki or Minion Reflector, which both grant haste at the level of a copiable value, so all Parallel Evolution tokens will likewise have haste, and the new Kikis can clone and Satyrs can make mana. Because Kikis can, in fact, be sequential (unlike Parallel Evolution itself, which is simultaneous as mentioned before), this is the driving force in allowing the next replicate copy to turn each token into 2^^^8, and so on: after the stack is clear, there are over 2^^^2^^^7 tokens, or more than 2^^^^4. Three more Parallel Evolutions make this 2^^^^7.
Compared to that, the "untap all creatures" spells are a pittance. Yes, they allow Kiki to make more DS tokens, but he can't clone himself (for good reason), and copies of Kiki are the main driving force at this level. Each one allows the Voyaging Satyrs to produce more mana to replicate the next one, but they still don't get to 2^^^^8.
When the last copy of Turnabout untaps your creatures for the last time, go ahead and tap all but one Kiki again to make more Doubling Seasons as usual. The last one, though, should target Djinn Illuminatus, making sure that Djinn is the most populous creature on the board right now (albeit by a margin that can't be succinctly expressed). Now tap exactly 24 Voyaging Satyr tokens to get mana from Tolarian Academy, and play Revive.
Each instance of replicate triggers separately, but all the costs have to be paid up front on announcement. Revive has an instance of replicate for each copy of Djinn Illuminatus; choose to pay exactly 12 times into each instance. Omniscience makes the "mana cost" free, so the total cost just ends up being 24 times the number of copies of Djinn Illuminatus, and the 24 times tapping Academy after the last batch of tokens more than took care of that.
The first replicate trigger resolves, creating 12 copies of the spell and targeting all twelve green cards in the graveyard (yes, even the one that got chosen for the original Revive target). Replaying all four Parallel Evolutions now increases the token count to 2^^^^11, with the untappers having minimal effect. Importantly, though, all those cards are now back in the graveyard. Their object identities have been reset, but only now does the second replicate trigger resolve, meaning that only now do we have to choose targets for the 12 copies of Revive, and those freshly-played cards are there for the choosing once again. By doing it this way, Revive's value is not cut short at just 11 replicate copies total, but the next batch of copies will increase to 2^^^^15, 2^^^^19...and that 19 increases by four after each replicate trigger. Then we have roughly 2^^^^2^^^^7 when that's done, finally going up a level to exceed 2^^^^^4.
Same deal now with Call to Mind: make sure Djinn Illuminatus is the last and most numerous thing to get copied, then use 69 Voyaging Satyrs (23 * 3) to make sure there's enough mana to cover all useful replicate costs. The copies will return a number of less powerful cards, plus Revive, and the second Revive play will go to 2^^^^^5, with the last one gaining an arrow and stopping above 2^^^^^^4.
In the same way, Call to Mind gets reused by Treasured Find to go to 2^^^^^^^4, and...whoops! By replicating to excess, one of the things you're able to do, without deviating from that decklist, is replicate Treasured Find's original target out from under it. The original spell will then fizzle, and will not be exiled. A second copy of Treasured Find can then bring back the first one while being careful to fizzle itself, and so on for a loop that can be repeatable without limit.
The simplest way to fix this problem is by replacing Treasured Find with Ill-Gotten Gains, which is not targeted and cannot be made to fizzle, so (along with the fact that you have no counterspells) it's a safe inclusion. Anyway, when all the Ill-Gotten Gains and Praetor's Counsels have been used up, you can go ahead and flash back all the Parallel Evolutions, producing a gain that's by now too small to be noticed, but a cutesy gesture nonetheless. (In fact, even better would have been to replace Call to Mind with Mystic Retrieval, which lets you use 8 Parallel Evolutions at this point, a still-insignificant gain that does at least offset the loss of efficiency caused by it being more expensive to replicate earlier.) Then all that remains is swinging for the fences with DS variants on the ground, and Djinn Illuminatus in the air. Actually, Voyaging Satyr doesn't do much after you've used up all the spells that can sink mana, so go ahead and swing with those too.
Your final result, after this correction (but overlooking one more thing that doesn't work at all), would be about 2^^^^^^^11 when optimized for proper play, which in Ackermann terms is about A(9,8).
An obvious oversight was that you could have replaced Opalescence with March of the Machines, animating everything in one fell swoop. This could have created a Minion Reflector trigger on Tolarian Academy, if not for the fact that it would be summoning sick and unable to tap for that first 2 to perpetuate itself, and that it would have animated into a 0/0 creature anyway, but both of these issues have workarounds. You'd also gain the possibility of getting a Minion Reflector trigger on Minion Reflector, allowing that initial batch of tokens to build up more quickly while still taking up fewer deck slots.
More importantly, even if Parallel Evolution wasn't as good as you hoped for (by letting you drop the DS tokens first, and only then dropping the other tokens now that there are more DSs to replace their arrival), what if there was something that did work that way? This is where Precursor Golem + Xenograft comes in handy: Like Djinn Illuminatus with the graveyard recursion, this gives you a number of separate on-cast triggers that don't determine what their effect is until their individual resolution (for example, one trigger gives copies of a spell for each Golem, you can do some things in between, and the next trigger does the same except now "for each Golem" might be referring to a much bigger number). And unlike Djinn Illuminatus, you don't even have to pay anything for Precursor to copy your spells!
Doing it this way, of course, you'll want to move away from global spells, in favor of those with single targets such as Burst of Energy or Gerrard's Command (choose two: untap AND get +3/+3!) Although...as you saw, untapping creatures pales in comparison to simply making more of them. Rite of Replication's antics with Precursor are well-known, but once the tokens are all down and everything's an artifact anyway, Sundering Growth is a bewildering spectacle to behold. Notice that populate is not a target, so even for the copies that target something "pointless" like the 3/3 golem tokens, you can still get business out of them. (Hint: Populate should always go after DS except for the last few copies, which replenish the ranks of everything else just in time to save their last remaining specimens from being destroyed.) Crucially, Sundering Growth is a multicolored spell, which means you can insert Reborn Hope to bring it back, before proceeding to Revive and Mystic Retrieval.
Then at the end, there are only so many variants of Praetor's Counsel that exist in the game. Observe that by using Holistic Wisdom, any sorcery in your hand can serve as a very close facsimile of Praetor's Council, for the purpose of bringing back Mystic Retrieval--even the Show and Tell that's already served its purpose, along with the first Rite of Replication that was used to make sure every creature on the board exists in token form to be used with populate, can be repurposed for this. Especially so if you add Kurkesh, Onakke Ancient to use with Holistic Wisdom.
Then all that's left to consider is rectifying the issue of having animated 0/0 lands. Clearly, if there's going to be a creature that can produce mana directly, Voyaging Satyr isn't needed. Its slot can instead be spent on a source of global pump so that the Academy survives, or a source of haste...say, why not both! After drawing the deck, drop March, Lattice, and Orrery as the first things, then play Minion Reflector which triggers for itself. Since you have Orrery by now, respond to this trigger with Xenograft, choosing...not Golem, but Goblin! Xenograft, like everything else, is a creature so it will set off another MR trigger, and you can respond to this with Goblin Chieftain. That's finally sufficient to allow Tolarian Academy to come down as a 1/1 haste Goblin that can immediately tap for 8 mana...or rather 9, since Mirror Gallery kind of needs to be here for this too. That's enough to pay four MR triggers, but only 3 are needed, so get a token copy each for Tolarian Academy, Minion Reflector, and Xenograft so that all your creatures are now Goblin Golems, and hang on to 3 floating mana. Now any DS slots you wish to use will each be witness to two Minion Reflector triggers instead of one, and even Kiki-Jiki's slots aren't needed and can be replaced with pitch cards for Holistic Wisdom.
And sure, you can do much better by dividing the battlefield into fine-grained classifications instead of trying to consolidate them all under the banner of "artifact" or "Artifact Creature - Goblin Golem". But if you're going to focus on a single battlefield operation like tapping Kiki-Jiki, it turns out that Precursor Golem provides an engine that's a bit more powerful to build around, at least until you get into things like Sinking Feeling with toughness pumps (which won't work under March-Lattice, since March animates every artifact without exception, and an animated Aura is dead by rule).
[EDIT] Nope, there's a sizable bombo that was hiding in there all along: Mycosynth Lattice makes everything colorless, so how is Revive ever going to have a green card to return (or multicolored cards for Reborn Hope, if you should find a way to work that in)? Painter's Servant isn't an option: setting it to green (with a later timestamp than Lattice) just means that Revive becomes able to return Call to Mind, back and forth in another endless cycle. So Lattice will have to go then, although Opalescence + Enchanted Evening can give the same global pump (and additionally make sure that all the Golems are still legal targets for Sundering Growth).
Innate enchantments, including DS, get animated anyway, so Enchanted Evening clearly isn't needed for that (though the lone Opalescence doesn't animate itself; this conveniently means it's not a Golem, and Precursor won't try to send unrelenting waves of Sundering Growth its way to make things come screeching to a near-halt). All that's left is to determine which artifacts and lands are needed, out of Minion Reflector, Vedalken Orrery, Mirror Gallery, and Tolarian Academy. Orrery is a simple replacement: it has an enchantment version in Leyline of Anticipation, so you might as well make that change.
For Tolarian Academy, in the absence of Mycosynth Lattice, there's the obvious correction that it needs to be able to handle colors other than blue. As it turns out, if there are going to be enough copies of Xenograft floating around to grant every creature type at once, Wirewood Channeler is just as good--and in fact better, since it covers all the colors of mana. Tolarian Academy can then be cut, removing one legendary permanent. If you go with Kurkesh to boost Holistic Wisdom, there's still one legend left and Mirror Gallery is still needed for that; otherwise the only possible substitute is Rings of Brighthearth, which is still an artifact. Either way, one artifact will still remain, and there will need to be some way to animate that.
Minion Reflector is mainly used for getting the first copies of each creature in token form, and tacking haste onto them. Heat Shimmer or Twinflame to lead things off in the presence of Precursor Golem will serve the same purpose, and Heat Shimmer happens to be a sorcery which will prove more useful at the end. Since Wirewood Channeler can be used instead of a 0/0 Tolarian Academy, the first Xenograft in this scenario can be set to Golem, and Heat Shimmer will provide the ones for Elf and anything else before it's necessary to produce mana. So it is just that one artifact that needs to be used in the skeleton.
My spellcheck doesn't like mathly or magicly. And this thread makes me realize how much mathly stuff there is in magic.
Even reading small snippets here and there make me consider new things such as making a deck around Twinflame,Minon Reflector and Precursor Golem - casual.
Then I consider what Ink-Treader Nephilim does to all that and I feel faint imagining all the digits in the notation.