Enoch

Enoch (エノク) is a term that is used within the Toaru series to refer to the of magic and beliefs,  based around a supposed angelic.

Etymology
is a name in the Bible used to refer to two characters, first being the son of, and the other, the ancestor of. The system, and the language it is based on, is named after the latter due to assertions that Enoch was the last human to know the language (before Dee and Kelley).

Principles
The system of Enochian Magic (エノク魔術) is based around, said to be an ancient angelic language, and often involves the invocation of such beings.

The Enochian language has its own alphabet, with several different forms of script. Enochian glyphs often have English letter equivalents, however while some of their names are pronounced the same, many are pronounced differently.

Two keys parts of the Enochian magical system are the Elemental Tablets and the Aethyrs. In Enochian traditions, a diagram of the world's spiritual territories depicts a square at the center, comprised of the four tablets/watchtowers contained within a tablet of union, surrounded by 30 concentric circles representing the Aethyrs, with the 30th being the innermost and the 1st being the outermost. A set of invocations, known as 'calls' and often referred to as the Secret Calls, are used to access the powers and angels of the Tablets or the Aethyrs.

The usage of Enochian magic involving the Aethyrs and the Secret Calls has been noted to fall within the Aeon of Horus.

Tablets
An important part of Enochian magic are the tablets or watchtowers, which a large number of the angels involved in the Enochian system are associated with. There are four tablets or watchtowers, which are associated with the four elements and these are further divided into four sub-sections for each of the elements. There is a fifth tablet of unification which encompasses these four tablets and represents the colorless fifth element. Powers and angels within the scope of the tablets can be accessed via the Secret Calls.

The four Elemental Tablets, contained within the tablet of unification, are depicted as a square at the center of an Enochian diagram of the world, surrounded by the concentric circles representing the Aethyrs, with the 30th Aethyr, TEX, the lowest being the innermost and closest to the tablets.

Aethyrs
The Aethyrs (アイティエール) are 30 planes of the world's spiritual territory, which play a major role in Enochian magic. Each of the Aethyrs has an angel associated with and residing within it.

Depicted as concentric circles surrounding the square of the tablets on an Enochian diagram of the world, the Aethyrs are numbered from 1 to 30, with the 30th being the lowest and innermost, closest to the tablets, and the 1st being the highest and outermost. In a similar yet different fashion to the Sephiroth in Kabbalah, practitioners can travel through the Aethyrs as part of their spiritual training and advancement.

Secret Calls
In order to draw upon the powers and angels connected to the Elemental Tablets, there are invocations known as calls (召喚文), collectively referred to as the Secret Calls.

In order to invoke certain powers or angels, specific calls need to be invoked in the right sequence. For example, if the target is of a sub-element from one of the Elemental Tablets that is different from the tablet's main element (e.g. water of wind), the call for that specific tablet comes first (e.g. the Third Call for the wind tablet) followed by the call for the sub-element (e.g. the Seventh Call for 'water of wind'). Others only require one call; for example, when invoking 'fire of fire', only the Sixth Call is needed.

In addition to the standard eighteen Secret Calls, there is a nineteenth Secret and Unrecorded Call, believed to correspond to the Aethyrs.

Enochian Chess
 is a four-player variant developed by founders of the Golden Dawn and incorporated into their magical system. Used for competition and divination, the game has four differently colored sets of pieces corresponding to the four elements, with pieces identified with Egyptian deities (the king for, the queen for , the knight for , the bishop for Aroueris and the rook for Nephthys). The board is multi-colored, divided into four sub-boards with one of the four elemental colors dominant in each - corresponding to the Elemental Tablets.

Background
The Enochian system of magic is derived from the writings of and  in the late 16th century, based on a supposedly angelic language.

Enochian elements were among the various components which were incorporated into the Golden Dawn's magical system. One of the cabal's founders, Samuel Liddell MacGregor Mathers, played Enochian chess.

Deep Blood Arc
The term Enoch was used by Index during her first meeting with Himegami Aisa regarding her validity as a magician, included in with the likes of Kabbalah, Hermeticism, Vision of Mercury, and Modern Astrology. It can be assumed that Index was referring to Enoch as a school of thought or belief like Kabbalah.

Coronzon Arc
Enoch was referred to during the events surrounding the reproduced Golden Dawn, and chess pieces based on Egyptian deities (most likely Enochian chess pieces) were used for magic. Coronzon also made use of Enochian magic during the events surrounding her attempt to perform the Ceremony of Mo Athair, including Aethyr Avatars formed from her hair and Secret Calls.