There are many different kinds and varieties of magic in the Whateley universe and it is not at all clear to what degree the magic users agree on how to call and differentiate them. This article is an attempt to organize those that have been mentioned so far.
The clearest case are the various ways to approach magic as a whole, called paradigma in this article. The closest term used in-universe is tradition, but that word seems unfitting to describe Chaos magic, Techno-Magic or the difference between Theurgy and the other variants. A type of magic is called a paradigm when it is defined by the theories, methods and techniques used rather than by the effect or the general way it is achieved, so most of what is possible to do with one paradigm should also be possible with the other paradigma, though quite possibly much more difficult, and there may be effects unique to a certain paradigm - likely the case for many effects of GOO sorcery - or contrary to the nature of some paradigms, for instance Necromancy.
It is unclear whether all Laws of Magic are universal to all paradigma, or to what degree skill in one paradigm carries over to another.
Rule based magic making use of tarot cards, complex diagrams and rituals etc. Usually just called western magic or modern magic.
Users: most modern mages
The category for those without proper paradigm, using magic on instinct, by trial and error, or any other way that doesn't involve following the theories and techniques of a paradigm. Mutants with a wizard trait high enough to cast spells, but without any proper training would fall into this.
Taoist magic makes use of Chi instead of essence (in so far as they are different things) and doesn't teach the laws of magic recognized by western magic, being more art and even less science. Whether that means that the laws simply don't apply at all or that the taoist mage develops a feeling for the workings of magic instead of framing it in explicit rules is unclear.
Users: Diamondback (?)
see also Cthulhu Mythos#GOO Sorcery
The types of magic defined by the general way an effect is achieved are called spheres in this article. The difference between spheres and fields is not always clear and the differentiation has not been made explicit in canon, though there have been uses that suggest it.
Also called Conjury.
- One of the problems with Conjury, from the point of view of an unscrupulous conjurer, is that once you summon a demon or elemental, you can’t just put them on hold until you need them. You have to give them orders right then, right there. This presents a lot of logistical problems. So, someone came up with a technique of temporarily binding a summoned creature into small temporary ‘vessels’. They call them ‘Conjure seeds’, or ‘Demon Seeds’, or ‘Dragons Teeth’. Each one of these things is about the size of a peach pit, and since the demon or elemental hasn’t been completely brought into the world yet, it will fit into the seed. There’s a specific key to activate these ‘seeds’, depending on the nature of the being that’s under wraps. For an Earth elemental, you’d plant the seed; for a Fire elemental, you’d throw it in a fire.
A class of objects that result from a Conjuration and that is distinct from normal active spells, apparently in that it has a physical form and can persist even when the mage is interrupted, and also distinct from e. g. a spirit, is also called Conjuration. Examples presumably include the Parasitic Roots of P’kanopt themselves and the Resplendent Golden Rose of a Thousand Burning Petals, but not Lamplighter's lantern.
Example: Create an amulet or talisman.
Ideally, an enchantment should be a single, fluid, unbroken process.
- Part of enchanting an item is to attune it to the higher planes, giving it an etheric identity. 
Apparently a type of enchantment, perhaps only non-permanent enchantments with a specific effect rather than enhancement of the normal function of an item, often on perishable material like paper.
Examples: Molly's misdirection/ hiding charm, Jadis' suspension charm, the charm that activates the chasing effect of Ms Grimes' bowling ball (and needs to be renewed after each activation).
Presumably a malicious enchantment.
- The act of summoning and releasing things, be it power, a spirit or daemon. 
- Similar to Evocation though lending itself more to the gathering of information from sprits and other sources
Example: Making preserved frogs come alive.
Transmutation has been called a branch of Thaumaturgy, but it's unclear whether Thaumaturgy in this context is another word for magic or just a type of magic, and how it is differentiated from other types if the latter.
Apparently a type of transmutation, possibly those of living beings. Alternatively a different method to achieve results superficially similar to transmutation, or just another word for transmutation.
Magic making use of the Law of Similarity.
- Sympathetic magic uses the link between two identical patterns as a conduit for magical power.
Examples: Fey's privacy charm.
The types of magic defined by the result of a spell or by what is affected are called fields in this article.
Example: Brew a mystic philter.
- This is because both Enchantment and Alchemy are very personal processes. The Alchemist isn’t just a person who mixes the chemicals and heats them. No, the Alchemist is a part of the process. A personal, intimate and crucial part of the process.
Shadow-based magic. Instead of being canceled out by light it is instead strengthened.
- The pervasive gloom, the clammy atmosphere, the sense that someone’s watching you, the sensation of little hooks digging into your flesh, those are all telltale signs of Erebeal Magic
Examples: Conjuring the illusion of a knife.
Specialists: Sir Wallace Westmont
- The ability to tell the future or to find a person or object using items that resonate with the subject or by manipulating energies connected with the subject. Divination is different from Precognition because of its reliance on these energies. Divining Rods are a good example of this, not just any forked stick will work, the rod must be specially prepared to find water and a mystically sensitive individual is required to use it successfully. 
The dominant form of divination seems to involve invocation, but it is also possible to cast a divination as a conjuration, for instance Conjure's conjury of seeing.
- A spiritual bargain where you in effect contract for the creature for a limited period of time.
Examples: Fire Faerie, pixies, demonic entities.
Specialists: Pater Tempus
- Necromancy breaks the great cycle of life and death and rebirth, so it’s fundamentally violating the soul of any nature-based magics 
- ↑ 1.0 1.1 1.2 Insanity Prerequisite: Part 3 - Metamorphosis
- ↑ Christmas Elves: Fey and Jade's Holiday Havoc
- ↑ There's an Angel in Dickinson Cottage: Part 2
- ↑ Five Elements Dancing: Book of the Earth
- ↑ 5.0 5.1 Brother Keifhauser in There's an Angel in Father John's Basement: Part 1
- ↑ 6.0 6.1 Petra 1: Rock and a Hard Place - Part 5
- ↑ 7.0 7.1 7.2 The Boston Brawl II - This Time It's Personal!
- ↑ 8.0 8.1 Hakim Al-Feyez in There's an Angel in Dickinson Cottage: Part 2
- ↑ She-Beast in No Beast So Fierce
- ↑ Summoning Tactics
- ↑ Have Yourself an EVIL Little Christmas: Part 2
- ↑ The Three Little Witches
- ↑ 13.0 13.1 Ophelia Tenent in A Single Fold
- ↑ Ayla and the Birthday Brawl: Chapter 4 - The Legend of Cambel and Triamond, or of Friendship
- ↑ Call The Thunder: Chapter 3 - All's Fair in Fun and Chaos
- ↑ Ayla and the Grinch (A Christmas Story)
- ↑ Ayla and the Tests Chapter 6 - The Stymphalian Birds
- ↑ Carmilla in Insanity Prerequisite - Part 2: Destabilization
- ↑ 19.0 19.1 She-Beast in Have Yourself an EVIL Little Christmas: Part 2
- ↑ Child of Confusion
- ↑ Trials of a Warrior (Chapter 1)
- ↑ Fey: Adjustments
- ↑ Ill Winds: Part V
- ↑ It's Good to be the Don
- ↑ Carmilla in Insanity Prerequisite: Part 1 - Status Quo
- ↑ The Turks or the Geek
- ↑ She-Beast in Five Elements Dancing: Book of the Earth
- ↑ Elyzia Grimes via Beltane in Ayla and the Great Shoulder Angel Conspiracy: Chapter 2 - Cherubim