Mystiokinesis

'''"But magic is neither good nor evil. It is a tool, like a knife. Is a knife evil?  Only if the wielder is evil."

- Hecate '''

Mystiokinesis, or reality warping, is the ability to control a natural form of energy, for example: creating snow, changing the weather, turning other people into animals, etc. Thus, giving it control over everything and everyone. Magic is a very complex and dangerous force as it gives control of natural energies in order to produce a needed positive change, but also could be used for evil purposes. Hecate and her children are especially skilled at this form of manipulation.

The Sea of Monsters
When Annabeth and Percy wash up on C.C.'s Spa and Resort (run by Circe, a daughter of Hecate, the goddess of magic and Helios, the Titan of the sun and fire) Circe turns Percy into a guinea pig, along with several other people (including the pirate Blackbeard and his crew), using her potion. She offers Annabeth the chance to stay on the island and become an immortal sorceress like herself. Annabeth ultimately declined. Annabeth then gives Percy, the guinea pig, and the other transformed humans some of Hermes' multivitamins, returning them to their normal selves.

The Last Olympian
Hecate associated herself with the Titans during the final battle of The Second Titan War. To prepare the battleground, she cast a spell around all of Manhattan to put millions of mortals to sleep and decelerate time which, together with Morpheus' ability, prevented mortals from entering the place of battle. Hecate also tried to break through the wards of Olympus, but failed as the wards on Olympus were too powerful.

The Lost Hero
During Medea's fight with Jason Grace, Leo Valdez, and Piper McLean, she showed her magical abilities, as well as boasted about how Circe taught her magic. During a meeting of all the cabin counselors, Lou Ellen magically removed Miranda Gardiner's nose from her face, and Miranda was trying to get it back. She failed until Chiron told Lou Ellen to give Miranda her nose back.

The Mark of Athena
Annabeth mentioned that the campers of Hecate's cabin used their magic to try and find Percy at Camp Jupiter and were unable to.

Son of Magic
Lamia and Alabaster C. Torrington both showed a high level of skill in this power as Alabaster was mentioned to be the most powerful demigod child of Hecate. They fought each other with incantations, and Alabaster was, at the end, about to destroy Lamia with a spell before Hecate separated them, not wanting her children to kill each other. Finally, Howard Claymore was returned to the world as a Mistform after he died, by Hecate. Lamia mentioned having crafted a spell that gave monsters the ability to smell demigods. Claymore stated that if you put enough power behind an incantation, it can come true.

The House of Hades
Hazel spends most of the book learning to use Mystiokinesis. The first time she successfully uses it is when she and Jason defeated Sciron. She then uses it against Pasiphaë, manipulating the magic of the Labyrinth so she and Leo could defeat her.

The Blood of Olympus
Hylla mentioned that some of her followers are Amazons and it was easy for them to send Nico di Angelo, Reyna, and Coach Hedge off course stating that Shadow Travel is magic. Lou Ellen and the half-bloods of the Hecate Cabin were stated to be protecting Camp Half-Blood with magical boundaries to slow the impending Roman invasion.

The Hidden Oracle
The Athena Parthenos attempts to protect Camp Half-Blood from the relentless onslaught of the Colossus Neronis automaton (which is shown to be more than twice the Parthenos' height), but the colossus ultimately breaks through the protective border.

Known Spells
Most of the spells (as seen used by Lamia and Alabaster C. Torrington) begins with a Latin word "Incantare" which means "To Enchant".
 * Unnamed Time Spell - A spell that decelerates the flow of time. It was casted by Hecate to prepare the battleground for the Second Titan War.
 * Unnamed Sleep Spell - A huge spell cast by Hecate to sleep millions of mortals in Manhattan in order to prepare the battleground for the Second Titan War.
 * Magia Occultandi (Enchantment of Hiding) - A concealment spell that shields oneself or others from the tracking abilities of monsters.
 * Gelu Semita (Path of Frost) - A spell that generates cold. It is a type of translocational spell, which allows the caster to make a path for themselves and ice is the method of travel which allows them to obscure their location, making it hard for their attacker to attack or anticipate their next attack. It also makes the temperature drop and get colder and hail starts to fall.
 * Templum Incendere (Temple of Fire) - A fire-based spell. It does not affect the target personally. Instead, the fire is set to destroy the person's "sanctuary", whatever the target places the most faith in. The spell makes the temperatures spike and feel like a sauna as the heat keeps building.
 * Stulti Carcer (Fool's Prison) - A spell that makes a person's legs feel like lead and glued in place.
 * Protection Spells - Spells that protect oneself or others from harm.
 * Magic Disruption Spell - A spell that disrupts a person's magic and spell insignias.
 * Aufero Sarcina (Remove Package) - A counter-spell to remove all of another caster's enchantments from another person. It used by Alabaster to remove all of Lamia's enchantments from Howard Claymore. Once cast, it causes an explosion and green shards of light to fly from the person, making them stagger backwards.
 * Persequor Vestigium (Following Markings) - A spell that locates another person. Once cast, the caster is surrounded with a collage of magical spells and radiates their entire body with power.
 * Unnamed Binding Spell -  A very advanced spell that allows the user to imprison a target and bind it in a pile of black soil for eternity, which could prevent monsters from reforming. The spell requires a lot of energy from the caster. This spell is the opposite of a healing spell. This spell is a shorthand incantation.
 * Unnamed Monster Sensing Spell - A spell that allowed all the monsters in the world to sense demigods. This spell was crafted by Lamia.
 * Healing Spells - Spells to heal and fortify a living body.
 * Unnamed Separation Spell - A powerful spell to separate two or more people using powerful magical energy.
 * Unnamed Mistform Body Spell - A very advanced spell that can give a spirit a Mistform body. This spell requires a lot of energy from the caster and would take most of the caster's power.
 * Unnamed Pluto Summoning Spell - A spell casted by Marie Levesque to summon the god Pluto.
 * Unnamed Weapon Transformation Spell - A spell to turn anything into a weapon.

Potions

 * Circe's Potion - A potion that transforms a human, usually a male, into a guinea pig.
 * Medea's Sunscreen - A potion that makes a person resistant to certain types of fires and getting burned.
 * Healing Potions - Potions that can heal injuries and wounds. Most healing potions don't taste good and taste like pond scum soup.
 * Disease Healing Potion - A potion that will heal any disease, possibly even lost memories.
 * Killing Potion - A potion that will kill you very painfully.
 * Unnamed Blindness Potion - A potion that induces blindness.
 * Unnamed Insanity Potion - A potion that induces insanity.
 * Unnamed Sleep Potion - A potion that induces sleep.
 * Unnamed Memory Potion - A potion to make a person forget certain memories.

Trivia

 * In The Demigod Diaries story, The Son of Magic, Hecate states that it takes energy to cast magic and that Dr. Claymore's death and noble sacrifice gave her the energy to separate her two children.
 * In The Demigod Diaries story, the Son of Magic, Hecate also states that noble sacrifice creates powerful magical energy.
 * In The Demigod Diaries story, The Son of Magic, Hecate states that magic cannot create something out of nothing, it makes use of what already exists.
 * In The Last Olympian, Silena stated that the bigger the spell, the easier it is to resist. If one wanted to sleep millions of mortals, they would have to cast a very thin layer of magic and sleeping demigods is much harder.
 * In The Demigod Diaries, The Son of Magic, Dr. Howard Claymore stated that incantations are a simple concept; if you say something with enough power behind it, it can come true.
 * Despite Templum Incendere being translated as Temple of Fire, the literal translation of the phrase means set fire to the temple.
 * Mystiokinesis is one of the most versatile powers displayed in the series as it has the potential to replicate the effects of other abilities such as pyrokinesis and atmokinesis.
 * According to Hylla Ramírez-Arellano, Shadow Travel is magic.
 * According to Hylla, if another caster magically teleports themselves or others, it is easy to send them off course, especially if they or another person being teleported share a connection.
 * According to Pluto, the secret to all magic is making the target see what they want to see.
 * Hecate and her demigod children's magic is strongest at night and weak during the day.