Magic

Magic is the primary source of power for Mages, and also their primary practice, there are three known schools which teach it that excel in the field, dubbed the Three Great Magical Academies.

Overview
Magic is the very power that people possess to stay in existence. Mages research and exercise this power that is deviated from the laws of the world. Which means, if one does not possess the power to stay in existence in that world or place, he or she may die, disappear, or lose control of themselves. Such mages become demons. It is not confined by logic or common sense and is thought to be generated by emotions and desires, therefore it's noted that women are more commonly able to use it, though male examples do exist. It is worth mentioning that the male exceptions seen have been some of the most powerful mages that exist, incluidng Arata Kasuga, Master Biblia, and Abyss Trinity. Body contact improves the sensitivity to magic.

Archives
In the Trinity Seven universe, magic is both an energy and an art form that magicians utilize to achieve a desired effect. However, all mages appear limited to studying one of seven respective Archives. Within each archive are many Thema, which it appears mages can study more liberally. There appear to be four Thema per Archive, making 28 in all, additionally, a mage is not limited to studying just one of them, but usually picks one as his/her main. Each of these archives are centered around one of the Seven Deadly Sins, they are:

Most magicians will choose an Archive and Thema that is opposite of what their personality is, as that appears to be the easiest for them to use since Magic is irrational by nature, in other words, they must think in a way contrary to themselves.
 * Luxuria (Lust)
 * Superbia (Pride)
 * Acedia (Sloth)
 * Ira (Wrath)
 * Avaritia (Greed)
 * Gula (Gluttony)
 * Invidia (Envy)

There are several magical armaments and tools that are available only to an individual who has mastered a Thema, for example the Ish Karioth member Rogue has come to possess three such tools. Magic King Weapons also require their user to have mastered three Thema and become a Trinity.

contrary to the norm, even for Magic Kings, Arata can use magic from other Archives despite being a member of the "Superbia" Archive himself by accomplishing three processes of analysis, basically, deconstructing other people's magic for his own use, Liese can also do this by stealing other people's magic directly.

Luxuria, "Lust"
Luxuria's Archive apparently possesses a large number of Thema centered around life and souls, specifically, Alchemy, the rules of equivalent exchange, and powers which consume everything in their path without relent are covered here.
 * Vanitas: A Thema which symbolises darkness and nothingness, able to consume and return all of creation to nothing. The essence of Magic, as well as all seven archives, can be utterly erased by this power. Users:
 * Abyss Trinity(Main)
 * Abies: This Thema allows the use of a Magic known as Outer Alchemic, which allows the user, via rules of equivelant exchange, to create weapons for his/her own use. Users:
 * Lilith Asami(Main)
 * Arata Kasuga
 * Everlasting: Is a Thema stated by Yui to be in the Luxuria Archive.
 * Terminus: Noted by Hijiri to be a very dangerous and ancient "Lost Thema", capable of even devouring Arata and his allies.
 * Anastasia-L

Superbia, "Pride"
Superbia's Archive is shown to possess magics which can reflect other magics, or magics which can dominate or erase them. This is because this Archive represents "Pride" and inherently shows traits of domination.
 * Imperium, "Rule/Control": Arata's main Thema, this thema gives Arata the ability to copy and erase other magics. Users:
 * Arata Kasuga/Astral Trinity(Main)
 * Lieselotte Sherlock(Stolen)
 * Iustitia, "Justice": This Thema allows access to the magic called Gehenna Scope, which primarily focuses upon reflecting other magics, as well as scanning them to counter them. Users:
 * Mira Yamana(Main)
 * Verum, "Truth": The details of this Thema and the magic it can produce are unknown. It was used by a mage defeated by Mira Yamana, who lost control and caused a Breakdown Phenomenon, summoning spectres in her wake.

Acedia, "Sloth"
All three users of Acedia shown thus far have used powers which appear to focus upon magics that can manipulate space, such as teleportation and "Binding", it also seems it might have influence over time itself. Both users, though with different Thema, use the Logos Arts, implying that this is the dominant form of magic in Acedia. Its "Last Crest" is Baal Peor, "Time Fissure" which allows the user to slow time to almost a stop, giving them an undeniable advantage in battle, but in exchange they are imprisoned in that ultra-high speed world forever, barring outside help.
 * Stagna: This Thema allows the use of the Magic "Chrono Calculation" of the "Logos Arts" which primarily seems to allow the user to teleport themselves, in other words calculating positions in space-time. It also appears it can be used to absorb other people's magic and research, thus taking a "shortcut" towards improving their own. Users:
 * Lieselotte Sherlock(Main)
 * Arata Kasuga
 * Ligare: This Thema allows the use of "Secret Numbers Art" of the "Logos Arts" which primarily allows its user to bind other targets.
 * Selina Sherlock(Main)
 * Lieselotte Sherlock(Stolen.)
 * Sanctus: Is a Thema stated by Yui to be in the Acedia Archive.
 * Infrequentia: Is a Thema stated by Yui to be in the Acedia Archive.

Ira, "Wrath"
Thus far, users of this Archive display abilities relating to causing significant destruction to their surroundings, such that Arin's abilities are considered one of the most destructive of her peers, however, it is not limited to mere destruction, permitting barriers and such spells.
 * Ruina: This Thema centers around the use of Chaotic Runes spellcraft, which is a spellcraft allowing the user to conjure the powers of the gods, specifically Norse ones, through use of runes. The user can use this power both offensively and defensively. Users:
 * Arin Kannazuki(Main)
 * Hijiri Kasuga(Main)
 * Partum: Is one of Hijiri's additional Thema.
 * Hijiri Kasuga
 * Analysis: Is one of Hijiri's additional Thema.
 * Hijiri Kasuga
 * Cultura: Is a Thema stated by Yui to be in the Ira Archive.

Avaritia, "Greed"
So far, this Archive's magic appears to center around bringing others into one's own territory or world, which they can manipulate at will, alternatively, it might revolve around use of illusions.
 * Amicitia: This Thema allows the use of Yui's Starry Night Serenade. This brand of magic specifically allows Yui to manipulate others through song, casting illusions or putting others to sleep, thus taking them into her dream world. She is capable of bringing people's physical bodies into the dream world, thus saving them from threats in the physical world. Users:
 * Yui Kurata(Main)
 * Sapientia: Is a Thema stated by Yui to be in the Avaritia Archive.
 * Frux: Is a Thema stated by Yui to be in the Avaritia Archive.

Gula, "Gluttony"
The Magics of this Archive seem centred around one's emotions, and primarily focusing them into manifesting external entities or empowering one's physical body.
 * Fides: This Thema allows the use of Mantra Enchantment, a spellcraft involving the use of runes over the user's body, strengthening them and/or manifesting their power into external forms, such as Arata's dragon. Its power is directly tied in with the user's emotions, the stronger they are, the more powerful the user. Users:
 * Akio Fudo(Main)
 * Arata Kasuga

Invidia, "Envy"
The Magics of this Archive appear to be centered around shaman magics and spells, thus techniques such as Ninjutsu belong in this Archive. The "Last Crest" of Invidia is "Leviathan", however the only time its name is mentioned is when Levi only pretended to use it, thus its true abilities and consequences are unknown.
 * Expectatio: This Thema allows the use of Shamanic Spell magic. This magic allows its user to cast illusions and/or manipulate the wind, which compliments Levi's ninjutsu very practically, to such a point where it can become unclear whether she's using her magic or natural skills as a Ninja. Users:
 * Levi Kazama(Main)
 * Unspecified: Rogue's Thema allows her to move at light speed, called High Speed Luminescence Magic. Users:
 * Rogue(Main)

Trinity
Upon mastering 3 different Thema a magus earns the title of a "Trinity". It is also known that Rogue achieved the rank of Trinity by owning three magical armaments which are available only to those who've mastered a Thema, since having three mastered Thema would make her a Trinity anyway, it can be implied she might only have one Thema herself, but three weapons.

In the case of Magic King Candidates, this is a very significant thing, as it allows them to manifest their Archive's true form, which resembles the "true" Magic Kings, such as Abyss Trinity and Astral Trinity, though only those who ascended by use of an "Element" have been observed doing this.

In the case of "Genuine" Magic Kings this is also the level wherein they can gain access to Magic King weapons, although it seems this doesn't apply to "Candidates" who ascended by use of an "Element" such as Rogue.

After mastering a fourth Thema and surpassing this level a "Genuine" Magic King can gain access to the "Trinity Form", essentially meaning that to a Magic King this stage is the milestone of their development where "Candidates" become true Magic Kings, without submitting to the "True" magic King within them; in Arata's case, Astral Trinity.

For normal mages, this title appears to come with some form of power up as well, for example, when she becomes a trinity Arin's Gae Bolg becomes Gungnir, essentially turning from a spear wielded by a legendary hero to a lance wielded by the king of an entire pantheon of gods.

It should be noted that while a mage can have multiple Thema, rarely do they change the magic they use, implying that they simply broaden the capabilities of their magic, or use the additional Thema to strengthen their main one.

Paladin
Very powerful mages are deemed Paladins, it is unknown what requirements are needed to reach this level however it is known that a fight between two mages of this class might endanger the world itself.

Cardinal
Cardinal is the second highest rank of mage.

Magus Mode
Magus Mode refers to the form a Mage assumes upon activating his/her Thema and powers, in this form, they are equipped with a type of magical uniform, which acts as a manifestation of their powers. Unfortunately, since Magus Mode is essentially a change of clothes into a magical uniform, dispelling the user's magic renders them utterly naked, this has earned Arata's Anti-Magic the nickname of "Stripping Magic".

Archive Manifestation
By combining the Trinity with one's Magic King Element it is possible to manifest the true form of their Archive and transform into a stage beyond "Magus Mode". Assuming this form makes the user very powerful, and gives them a likeness to the forms of the genuine Magic Kings.
 * Ira Manifestation - "Satan": this is the manifested form of the Ira Archieve, which gives Hijiri a very demonic appearance. The transformation into this form appears to cause her great pain however it also grants her great power, power enough in fact to fight the entire Trinity Seven at once. Satan is referred as the demon of Ira/Wrath. Users:
 * Hijiri Kasuga


 * Luxuria Manifestation - "Aeshma": The manifested form of the Luxuria Archive, assuming this form gives Lilith a rather immodest appearance. In this form, Abyss Trinity managed to use her power to rip open a gate to his world and regain his true power. It's not known whether Lilith can eventually learn to access this form on her own. Aeshma probably came from the name Asmodeus, the demon of Luxuria/Lust.
 * Lilith Asami(Forced)

Trinity Form
Upon mastering four Thema and surpassing the "Trinity" Arata's Magus mode entered a state called the "Trinity Form", which is referred to by others as being a true magic king's appearance. Arata has not yet truly "mastered" all four of the corresponding Thema himself however, meaning this form can only be used when aided by the Trinity Seven's members and his two Grimoire, however, its power has shown to be on a level superior to even a Magic King wielding a Trinity of Thema.

After assuming this form, Master Biblia and Liber both seem to acknowledge Arata as a full fledged Magic King, and evidently, a marking has appeared on Arata's right arm. Due to the fact that he has not fully mastered the Logos Arts, formed by the fourth Thema in the set, this form is unstable and the mark on his arm seems to cause Arata significant burden.

The name implies that this is Arata's Magic King Form, but it is clearly separate from Astral Trinity.

Spectres
As a Magician's Research of their "Thema" progresses they tend to lose control of their own magic and in turn lose control of themselves. When this happens they turn into Spectres, as such these are beings that were once magicians and were devoured by their own magic. Spectres come in literally all shapes and sizes, but always appear as a pitch black body, the weaker ones seem to be easily killed and vaguely humanoid. They can often appear as a result of Breakdown Phenomenon, specifically Yui's caused quite a few to appear.

Code-D
Noted to be an illusion that's materialized, a very powerful Spectre in the form of a dragon. It's power is capable of resonating with that of Magic King Candidates. One such monster was summoned by Yui's Breakdown Phenomenon and was in fact so powerful that it took as many as five members of the Trinity Seven to bring it down. As powerful as this monster is however, it's noted that if a Magic King Candidate class mage became a Spectre, they'd be even worse than this.

Breakdown Phenomenon
Breakdown Phenomenon are what occur when a particularly powerful mage, I.e. a Magic King Candidate or Paladin-class magic bearer, loses control over his/her magic, the results are devastating to say the least.

Breakdown phenomenon strike in various forms, Arata's Superbia Breakdown Phenomenon forms an all consuming black sun, which erases everything in its range, destroying buildings and disintegrating entire human bodies, the only one known to suffer this fate and survive was Hijiri, who was in turn thrown outside of the world itself in the process. Astral Trinity can actually control this power, manifesting the "Black Sun" and subjugating it to his will. It is not known what normally happens to those killed by this power, which consumed Arata's entire home town and several weaker mages in Biblia Academy in the three times it has occurred.

Yui's Avaritia type breakdown phenomenon is much less openly destructive, instead placing everyone in its reach under its spell and forcing them into slumber. This phenomenon transforms her surroundings into a dungeon and summons Spectres to her location. This whole thing was ironically caused by Arata's phenomenon waking her up in the first place, meaning it happened like a domino effect.

Liese's Acedia type phenomenon was also fairly different from the above two cases, while she did summon Spectres, she also caused windows to shatter and could drain other people's magic power, the last part later became more dangerous due to Arata's Anti-Magic being absorbed by her. Liese, unlike the last two cases, seems to be able to control her phenomenon fairly well.

It can be assumed that the type of magic, as well as the mage's Thema, has influence over how the phenomenon effects its surroundings, but regardless, the phenomenon caused by their loss of control are always volatile and extremely dangerous. Arata's Anti-Magic can banish these phenomenon, however, other than killing the offending mage outright, no other methods are known to stopping it.