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I've been meaning to do this for a while now! The RPG journal entries don't do this as much justice as they should, since staring at all of that text is pretty, uh, shittily boring. Plus, I was too lazy to get type advantage and disadvantage to look appealing. I needed a better way to present it, and, well, Bulbapedia's type chart looked nice, so I STOLE IT. Nah, just faffin', I did this all by hand. I'M PROUD OF THAT!

FAN THINGY FOR A Mystery Dungeon WORLD!

So, we got four new types, but very few Pokémon have the later two, while the former two, Arcane and Flux, are plentiful, but affect Pokémon in different ways. While there are "natural" Arcane and Flux-types, it's possible for Pokémon to become infected with these types and gain their properties. A lot of the lore for some Wave characters is built around these four types, and they change the type chart up quite a bit.

Aspects are also added, which have their own tree. Aspectium (ASP; Mana or whatever) is used to cast facets, which can be used to bypass PP in order to deal damage in different, creative ways. Facets also give Pokémon access to some crazy status ailments that do all manner of freakish shite. Pokémon who favor a particular Aspect are generally weak to others, in addition to their actual type(s). Though, you'll notice there's no like Bug Aspect or Dragon Aspect, so there are really only limited interactions between the type list and Aspect list. A Fire-type is still going to be weak against a Water-based facet though, etc. Aspects can also do even crazier stuff than basic moves, like combine together to form Dual or Poly-type attacks, and this is really the only way to get those Dual/Poly-type moves listed in the top left corner. They're far from natural, but certain facets will bring 'em out. Facets can also cause Phasing and Rupturing, which are special parameters that can be accomplished from Pokémon casting combos and attuning themselves to the Aspect of any one or two given Aspects. Gets complicated, but it's just a fancier way of dealing damage that bypasses Defense, and has its own "HP" bar (Aspectium, which can also be used as an HP shield).

Aspects deal with the Star Tinge stat. Higher Star Tinge (ST) means more facet damage, enfeebling facets stick better and with more potency, enhancement facets do the same, and healing facets are more efficient. Lower ST means less facet defense, a fuckton less defense against the special Rupture mechanic, and a offense facets have a higher chance to just completely be resisted by opponents.

Where does Special Defense come into play here? Special Defense is paired up with ST to create Magic Defense in totality. The formula for it is (ST + SD)/4 = Magic Defense, where SD is Special Defense. This means that high Star Tinge can still be a relatively small factor in Magic Defense if a Pokémon's Special Defense is low. It's (probably) worth noting that none of these stats have any part to play in determining a Pokémon's ASP total.

There's this whole deal from my first take on Aspects, which'll still be canon:

"Phase Weakness occurs when any amount of Aspectium is used from casting a Facet of a certain Aspect. If an ice Facet is cast, ice's Phase Weakness will begin to build. During this time, ice Facets will grow more powerful and consume less ASP, while other Facets will be weaker and consume more ASP and take longer to cast. If the caster is struck by ice's weakness, fire, his or her ASP shield will take considerably more damage than it would otherwise, also completely halting ASP regeneration. As would be expected, having higher Star Tinge helps to alleviate damage. Conversely, since ice is sturdy against wind, any wind-related damage would deal less damage to an "Ice Phased" ASP shield. The same is true for ice itself. Ice Facets would do little against an Ice Phased ASP shield.

Dual Phases and Phase Rupture: If other Facets are cast during a certain Phase Weakness, while they become weaker, they initiate Phase Weaknesses of their own unless they are of an Aspect with a special relation to the first one cast. If the caster has a Phase Weakness of ice and casts a fire Facet, he or she becomes Dual Phased. During the Dual Phased status, the caster receives weaknesses based on the previously cast Facets. Also during this time, if the caster casts a Facet that is strong to either of the Aspects of the Dual Phase, he or she will create a Phase Rupture, which eliminates both Phase Weaknesses and deals heavy damage based on the last Aspect used. This will deplete the ASP shield entirely.

Spirit Weakness is much more simplistic than its counterpart, serving as a passive trait for everyone in Pandemic rather than an acquired status. Spirit Weaknesses are ingrained and cannot (usually) be changed. It's as simple as type-advantage: if a Fire-type is hit with a water Facet, they will be dealt increased damage. Certain types that don't have Aspect counterparts, like Bug or Poison, follow the same rules regardless. If a Bug-type is hit with a fire Facet, the Facet is "super effective" to both their HP total and ASP shield."

There are Terrestrial and Fickle Aspects. Terrestrial Aspects are basic elements that can be bent into facets. These can be pretty easy to cast. Fickle Aspects are much more complicated, and may require more resources than just ASP to cast. Low level casters would do better staying away from these.
There's one Core aspect, which arguably doesn't exist, but is the root of everything. It's said to be impossible to cast, but hypothesized to be there, just also nowhere, and never -- but also always? It's nothing, but was the cause of everything, so it's probably gonna be really strong and really tough to cast. Spoilers: no one's been able to do that yet. This Aspect wasn't in the first RPG list!

Some story things about the new types:

Gamma is the reason for them. Arcane, Flux, and the Typeless classifications are all because of Gamma, which is essentially crazy-ass space radiation that's so far beyond the comprehension of mortal creatures with high-functioning intellect that it warps perception violently enough to tear reality apart. Scary stuff. Makes for a story, so when it gets up and found out by the Pokémons, it does some weird shit to them -- you know, mutates them and the like. Some of them manage to adapt to it to form what's called the Arcane-type, letting Pokémon feasibly live in a world of messy Gamma radiation, but not without a cost that makes life even more difficult than Gamma alone. That, and people want to use it for evil, because of course. So, Gamma's a bit like the Nuclear-type from Pokémon Uranium in that it just absolutely wrecks everything ever. Unlike Nuclear, Gamma-types (or what incredibly few of them there are) only receive neutral damage from pretty much any move. The toll that Gamma-type moves take on Pokémon is vast, so avoiding it altogether is probably not a bad call. Poison-types might have a chance at dealing with it, since they're used to that sort of thing. Poison and all. Ghost and Steel, too. Helps to be dead, or maybe not made of organic material.

Gamma-type attacks can inflict the Irradiated status condition, which allows Pokémon to have more than one status condition active. They can be Paralyzed, Poisoned, and Asleep all at once, and that's not even counting what facets can do. On top of this, Irradiated doubles any damage over time effect, and increases the chance that Pokémon receive critical hits from others. Not a good one to have.

Arcane was the first type to come from Gamma, since Gamma kind of sucked and Pokémon were not fairing so well with it breaking their planet. They needed a way to put up with this insane space energy that was chewing up the fabric of reality like gum, making mystery dungeons impossible tasks to deal with, turning Pokémon into lifeless star sludge, and generally making the planet a bad place to be. Hence space exploration. BUT WAIT, suddenly we've found a way to deal with Gamma and it's the Arcane-type, said some scientists. "Arcane", because it goes beyond our comprehension, so why don't we just not comprehend it? Cool, said some Eeveelutions that have DNA fit for this kind of stuff and made some experiments that may or may not have created the Flux type because of Arcane's terrible repercussion that opens the world up to nightmare fuel magic. Yeah, Arcane's got Special Defense that's off the chain, and access to a really nifty new status condition called Enchanted, where PP doesn't go down as fast. They also take hardly any damage from Gamma, but they're not great on the offense. Still got a decent batch of moves, and lots of Pokémon can learn them, provided they get steadily injected with trace Gamma and are okay with mutating.

The Arcane-type did throw some nice additions into the Pokémon world, like Aspectium, which allowed Pokémon to dip outside the realm of their own powers and try out some wizardry for a change. Filling oneself with more Gamma radiation increases the Aspectium potential for him or her, buuuuut also increases the risk of creating uncontrollable Flux.

Flux was the second thing to come out of Gamma, courtesy of Arcane. Possessing "Arcane powers to resist the influence of the terrible Gamma radiation" was too much for Pokémon to handle, said Arceus, but not really because Arceus didn't create Gamma matter and is sort of having a panic attack about all of this. Nah, if you manage to adapt a countermeasure to something that literally eats reality for breakfast, you're going to be separating yourself from, well, reality, and leaving behind lots of... corpse stuff. Body bits. So, Arcane had a drawback, and when its "energy" or whatever is released from the creation of Arcane-types, Flux gets born in equal quantity. You can imagine that, with as desperate as everyone was to get this big new resistance fad going, Flux got out of control. Doesn't help that it spreads on its own accord once it gets plentiful enough. Flux is supposed to be the "mortality that Pokémon left behind". Most Fluxes are steered from one primal feeling, which is usually a bad thing. They're gross, mutate Pokémon into Lovecraftian things, and have some of the scariest Attack stats Pokémon can get. Funny enough, Flux completely annihilates Arcane! Still doesn't do well against Gamma though. Ghost-types don't really care about it -- still too busy crying over the Arcane-type.

Flux-types have this thing where they can skewer Pokémon alive -- you know, critical hits? But with style. Actually, no, less style. Just makes for more damaging critical hits. (Their critical hits do more damage. It's not a good thing to be a part of.)

Typeless doesn't really exist. It's the impossible type, but since Gamma warps reality, some of that impossible maaaaay creep into the possible world and get by. Wait, no, just kidding, that's still impossible. So, it made a world where impossible things can TRY to happen, but still generally fail, so the next best thing that can POSSIBLY happen is what could POSSIBLY happen. Hypotheticals, possibly. These possibilities are at the core of everything, since everything was made from nothing and everything already happened, and is being translated to us as happening now. Fuck it! What if "happening now" didn't happen, and what if "didn't happen" happened, but isn't "happening now" in the impossible realm, and is instead "possibly happening"? Don't know. Perception isn't good enough to make that happen. Need more Gamma for it. More Gamma. Nope, still more Gamma. More Gam--STOP. We found something. It's that realm. It's called the Paradox. What is this place? Oh look, big giant ghost creatures attacking us. Wait, when we attack them, they start adapting to our moves? Wait, they start turning into us? What are these fantastic creatures?!

(No one really knows. Some Pokémon somewhere tried to do some research on it, but it didn't get anywhere, and now those Pokémon no longer exist, because science. Also this is still a thing in progress in Wave, so yeah. It's like the Anti-Gamma-type, being everything Gamma is NOT, or maybe everything that "EVERYTHING" is "NOT".)

What's that? Status condition! Typeless moves can inflict Pokémon with Achromatic, which completely obliterates Star Tinge for them and prevents them from casting facets. Some Gamma moves can do this, too, but it's rare.

Fickle Aspects are connected to the new Pokémon types in a few ways. The Arcane-type opened the possibility of Aspects up to Pokémon. Early on, the most reliable Fickle Aspects to come from Arcane were Light and Darkness, since that was... somewhat basic? Once Flux came around, the Organic Aspect got more attention. Those two things go hand in hand well. The Cosmic Aspect was the rarest, and really only had correlation to Gamma-type moves. Needless to say, Cosmic facets are extremely difficult to cast. Nil facets weren't ever cast, but some theorized that the Nil Aspect had to exist. And it does! But it doesn't WANT to, and neither does its brother, Typeless. Gamma's really tryin' to break them out of their shell though. Keep on givin' it all you got, Gamma! They'll show up eventually.

Wow, the tone of this whole thing is so weird. I need to stop watching Bill Wurtz. His stuff is like crack though.

Anyway disclaimer I don't own Pokémon weeeeeee I didn't proofread thiiiiiis~

Description
I've been meaning to do this for a while now! The RPG journal entries don't do this as much justice as they should, since staring at all of that text is pretty, uh, shittily boring. Plus, I was too lazy to get type advantage and disadvantage to look appealing. I needed a better way to present it, and, well, Bulbapedia's type chart looked nice, so I STOLE IT. Nah, just faffin', I did this all by hand. I'M PROUD OF THAT!

FAN THINGY FOR A Mystery Dungeon WORLD!

So, we got four new types, but very few Pokémon have the later two, while the former two, Arcane and Flux, are plentiful, but affect Pokémon in different ways. While there are "natural" Arcane and Flux-types, it's possible for Pokémon to become infected with these types and gain their properties. A lot of the lore for some Wave characters is built around these four types, and they change the type chart up quite a bit.

Aspects are also added, which have their own tree. Aspectium (ASP; Mana or whatever) is used to cast facets, which can be used to bypass PP in order to deal damage in different, creative ways. Facets also give Pokémon access to some crazy status ailments that do all manner of freakish shite. Pokémon who favor a particular Aspect are generally weak to others, in addition to their actual type(s). Though, you'll notice there's no like Bug Aspect or Dragon Aspect, so there are really only limited interactions between the type list and Aspect list. A Fire-type is still going to be weak against a Water-based facet though, etc. Aspects can also do even crazier stuff than basic moves, like combine together to form Dual or Poly-type attacks, and this is really the only way to get those Dual/Poly-type moves listed in the top left corner. They're far from natural, but certain facets will bring 'em out. Facets can also cause Phasing and Rupturing, which are special parameters that can be accomplished from Pokémon casting combos and attuning themselves to the Aspect of any one or two given Aspects. Gets complicated, but it's just a fancier way of dealing damage that bypasses Defense, and has its own "HP" bar (Aspectium, which can also be used as an HP shield).

Aspects deal with the Star Tinge stat. Higher Star Tinge (ST) means more facet damage, enfeebling facets stick better and with more potency, enhancement facets do the same, and healing facets are more efficient. Lower ST means less facet defense, a fuckton less defense against the special Rupture mechanic, and a offense facets have a higher chance to just completely be resisted by opponents.

Where does Special Defense come into play here? Special Defense is paired up with ST to create Magic Defense in totality. The formula for it is (ST + SD)/4 = Magic Defense, where SD is Special Defense. This means that high Star Tinge can still be a relatively small factor in Magic Defense if a Pokémon's Special Defense is low. It's (probably) worth noting that none of these stats have any part to play in determining a Pokémon's ASP total.

There's this whole deal from my first take on Aspects, which'll still be canon:

"Phase Weakness occurs when any amount of Aspectium is used from casting a Facet of a certain Aspect. If an ice Facet is cast, ice's Phase Weakness will begin to build. During this time, ice Facets will grow more powerful and consume less ASP, while other Facets will be weaker and consume more ASP and take longer to cast. If the caster is struck by ice's weakness, fire, his or her ASP shield will take considerably more damage than it would otherwise, also completely halting ASP regeneration. As would be expected, having higher Star Tinge helps to alleviate damage. Conversely, since ice is sturdy against wind, any wind-related damage would deal less damage to an "Ice Phased" ASP shield. The same is true for ice itself. Ice Facets would do little against an Ice Phased ASP shield.

Dual Phases and Phase Rupture: If other Facets are cast during a certain Phase Weakness, while they become weaker, they initiate Phase Weaknesses of their own unless they are of an Aspect with a special relation to the first one cast. If the caster has a Phase Weakness of ice and casts a fire Facet, he or she becomes Dual Phased. During the Dual Phased status, the caster receives weaknesses based on the previously cast Facets. Also during this time, if the caster casts a Facet that is strong to either of the Aspects of the Dual Phase, he or she will create a Phase Rupture, which eliminates both Phase Weaknesses and deals heavy damage based on the last Aspect used. This will deplete the ASP shield entirely.

Spirit Weakness is much more simplistic than its counterpart, serving as a passive trait for everyone in Pandemic rather than an acquired status. Spirit Weaknesses are ingrained and cannot (usually) be changed. It's as simple as type-advantage: if a Fire-type is hit with a water Facet, they will be dealt increased damage. Certain types that don't have Aspect counterparts, like Bug or Poison, follow the same rules regardless. If a Bug-type is hit with a fire Facet, the Facet is "super effective" to both their HP total and ASP shield."

There are Terrestrial and Fickle Aspects. Terrestrial Aspects are basic elements that can be bent into facets. These can be pretty easy to cast. Fickle Aspects are much more complicated, and may require more resources than just ASP to cast. Low level casters would do better staying away from these.
There's one Core aspect, which arguably doesn't exist, but is the root of everything. It's said to be impossible to cast, but hypothesized to be there, just also nowhere, and never -- but also always? It's nothing, but was the cause of everything, so it's probably gonna be really strong and really tough to cast. Spoilers: no one's been able to do that yet. This Aspect wasn't in the first RPG list!

Some story things about the new types:

Gamma is the reason for them. Arcane, Flux, and the Typeless classifications are all because of Gamma, which is essentially crazy-ass space radiation that's so far beyond the comprehension of mortal creatures with high-functioning intellect that it warps perception violently enough to tear reality apart. Scary stuff. Makes for a story, so when it gets up and found out by the Pokémons, it does some weird shit to them -- you know, mutates them and the like. Some of them manage to adapt to it to form what's called the Arcane-type, letting Pokémon feasibly live in a world of messy Gamma radiation, but not without a cost that makes life even more difficult than Gamma alone. That, and people want to use it for evil, because of course. So, Gamma's a bit like the Nuclear-type from Pokémon Uranium in that it just absolutely wrecks everything ever. Unlike Nuclear, Gamma-types (or what incredibly few of them there are) only receive neutral damage from pretty much any move. The toll that Gamma-type moves take on Pokémon is vast, so avoiding it altogether is probably not a bad call. Poison-types might have a chance at dealing with it, since they're used to that sort of thing. Poison and all. Ghost and Steel, too. Helps to be dead, or maybe not made of organic material.

Gamma-type attacks can inflict the Irradiated status condition, which allows Pokémon to have more than one status condition active. They can be Paralyzed, Poisoned, and Asleep all at once, and that's not even counting what facets can do. On top of this, Irradiated doubles any damage over time effect, and increases the chance that Pokémon receive critical hits from others. Not a good one to have.

Arcane was the first type to come from Gamma, since Gamma kind of sucked and Pokémon were not fairing so well with it breaking their planet. They needed a way to put up with this insane space energy that was chewing up the fabric of reality like gum, making mystery dungeons impossible tasks to deal with, turning Pokémon into lifeless star sludge, and generally making the planet a bad place to be. Hence space exploration. BUT WAIT, suddenly we've found a way to deal with Gamma and it's the Arcane-type, said some scientists. "Arcane", because it goes beyond our comprehension, so why don't we just not comprehend it? Cool, said some Eeveelutions that have DNA fit for this kind of stuff and made some experiments that may or may not have created the Flux type because of Arcane's terrible repercussion that opens the world up to nightmare fuel magic. Yeah, Arcane's got Special Defense that's off the chain, and access to a really nifty new status condition called Enchanted, where PP doesn't go down as fast. They also take hardly any damage from Gamma, but they're not great on the offense. Still got a decent batch of moves, and lots of Pokémon can learn them, provided they get steadily injected with trace Gamma and are okay with mutating.

The Arcane-type did throw some nice additions into the Pokémon world, like Aspectium, which allowed Pokémon to dip outside the realm of their own powers and try out some wizardry for a change. Filling oneself with more Gamma radiation increases the Aspectium potential for him or her, buuuuut also increases the risk of creating uncontrollable Flux.

Flux was the second thing to come out of Gamma, courtesy of Arcane. Possessing "Arcane powers to resist the influence of the terrible Gamma radiation" was too much for Pokémon to handle, said Arceus, but not really because Arceus didn't create Gamma matter and is sort of having a panic attack about all of this. Nah, if you manage to adapt a countermeasure to something that literally eats reality for breakfast, you're going to be separating yourself from, well, reality, and leaving behind lots of... corpse stuff. Body bits. So, Arcane had a drawback, and when its "energy" or whatever is released from the creation of Arcane-types, Flux gets born in equal quantity. You can imagine that, with as desperate as everyone was to get this big new resistance fad going, Flux got out of control. Doesn't help that it spreads on its own accord once it gets plentiful enough. Flux is supposed to be the "mortality that Pokémon left behind". Most Fluxes are steered from one primal feeling, which is usually a bad thing. They're gross, mutate Pokémon into Lovecraftian things, and have some of the scariest Attack stats Pokémon can get. Funny enough, Flux completely annihilates Arcane! Still doesn't do well against Gamma though. Ghost-types don't really care about it -- still too busy crying over the Arcane-type.

Flux-types have this thing where they can skewer Pokémon alive -- you know, critical hits? But with style. Actually, no, less style. Just makes for more damaging critical hits. (Their critical hits do more damage. It's not a good thing to be a part of.)

Typeless doesn't really exist. It's the impossible type, but since Gamma warps reality, some of that impossible maaaaay creep into the possible world and get by. Wait, no, just kidding, that's still impossible. So, it made a world where impossible things can TRY to happen, but still generally fail, so the next best thing that can POSSIBLY happen is what could POSSIBLY happen. Hypotheticals, possibly. These possibilities are at the core of everything, since everything was made from nothing and everything already happened, and is being translated to us as happening now. Fuck it! What if "happening now" didn't happen, and what if "didn't happen" happened, but isn't "happening now" in the impossible realm, and is instead "possibly happening"? Don't know. Perception isn't good enough to make that happen. Need more Gamma for it. More Gamma. Nope, still more Gamma. More Gam--STOP. We found something. It's that realm. It's called the Paradox. What is this place? Oh look, big giant ghost creatures attacking us. Wait, when we attack them, they start adapting to our moves? Wait, they start turning into us? What are these fantastic creatures?!

(No one really knows. Some Pokémon somewhere tried to do some research on it, but it didn't get anywhere, and now those Pokémon no longer exist, because science. Also this is still a thing in progress in Wave, so yeah. It's like the Anti-Gamma-type, being everything Gamma is NOT, or maybe everything that "EVERYTHING" is "NOT".)

What's that? Status condition! Typeless moves can inflict Pokémon with Achromatic, which completely obliterates Star Tinge for them and prevents them from casting facets. Some Gamma moves can do this, too, but it's rare.

Fickle Aspects are connected to the new Pokémon types in a few ways. The Arcane-type opened the possibility of Aspects up to Pokémon. Early on, the most reliable Fickle Aspects to come from Arcane were Light and Darkness, since that was... somewhat basic? Once Flux came around, the Organic Aspect got more attention. Those two things go hand in hand well. The Cosmic Aspect was the rarest, and really only had correlation to Gamma-type moves. Needless to say, Cosmic facets are extremely difficult to cast. Nil facets weren't ever cast, but some theorized that the Nil Aspect had to exist. And it does! But it doesn't WANT to, and neither does its brother, Typeless. Gamma's really tryin' to break them out of their shell though. Keep on givin' it all you got, Gamma! They'll show up eventually.

Wow, the tone of this whole thing is so weird. I need to stop watching Bill Wurtz. His stuff is like crack though.

Anyway disclaimer I don't own Pokémon weeeeeee I didn't proofread thiiiiiis~