Mystiokinesis

Mystioknesis 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. Children of Hecate are especially skilled at this.

The Sea of Monsters
When Annabeth and Percy wash up on C.C.'s Spa and Resort (ran by Circe, a daughter of Hecate, the goddess of magic), she turns Percy into a guinea pig (along with several other people, including a son of Athena and Blackbeard and his crew) using mystiokinesis and offers Annabeth the chance to stay on the island and become a sorceress like herself. Annabeth gives Percy the guinea pig and the other transformed humans some of Hermes' multivitamins that turns them back to their normal selves.

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.

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 Mist form after he died, by Hecate. Lamia mentioned to have 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
Throughout the book, Hazel Levesque learns to control the Mist, so she would be able to defeat several enemies, such as Sciron and Pasiphae. She uses it to make the pirate Sciron mistake the side of a cliff for the ocean, so, instead of throwing Jason into the ocean, he throws him away from the border, and he does not get killed. She then uses it against Pasiphaë, manipulating the magic of the Labyrinth so she and Leo could defeat her.

Abilities

 * Charmspeak
 * Healing (not like Biokinesis)
 * Reducing negativity
 * Protection
 * Binding
 * Transformation/Shapeshifting
 * Summoning objects, monsters, and offensive energy
 * Teleportation
 * Alteration of almost anything
 * Pyrokinesis
 * Cryokinesis
 * Electrokinesis
 * Telekinesis
 * Minor Atmokinesis (e.g. summoning fog)

Known Spells

 * Incantare: Gelu Semita- A spell that generates cold and translates to Path of Frost.  It is a type of translocational spell.  It allows the caster to make a path for themselves and ice is the method of travel which allows them to obscure their location and making it hard for their attacker to attack or anticipate their next attack.  It also makes the temperature drop and get colder and hail start to fall.
 * Incantare: Templum Incendere- A spell that generates fire and translates to Temple of Fire.  It destroys your sanctuary -whatever you most place your faith in.
 * Incantare: Stulti Carcer- A spell that makes a person's legs feel like lead and glued in place.
 * Incantare: Aufero Sarcina
 * Incantare: Persequor Vestigium- A spell that surrounds the caster with a collage of magical spells and radiates their entire body with power.
 * Unnamed Binding spell- A spell that imprisons a being/monster to Earth thus never reforming for eternity turning them into a pile of black dust.
 * Unnamed Time spell- A spell that allows the caster to decelerate time.

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 sacrifice gave the energy to separate her two children.