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Black magic was a form of magic associated with Satan and other similar entities. Black magic was often associated with witchcraft, although the terms were sometimes used separately.
Some of the races which practised black magic included the Dæmons, (TV: The Dæmons) the Carrionites (TV: The Shakespeare Code) and the Hervoken. (PROSE: Forever Autumn)
There were also practitioners of black magic on Earth, although the use of it was not species-wide.
Merlin, although not visibly malevolent or associated with satanic practices, described his magic as "black magic". He noted that black magic was powerless against the laws governing time-travel. (COMIC: Dr. Who's Time Tales)
In 1611, Elizabeth Bathory, Edward Kelley and Francis Pearson conducted a black magic ritual which brought the Mimic to Earth. (PROSE: Managra)
In 1638, Lady Peinforte conducted a black magic ritual to transport herself and Richard Maynarde to 1988 to retrieve the Nemesis statue. (TV: Silver Nemesis) However, it was actually a time storm created by Fenric that allowed this to happen. (TV: The Curse of Fenric)
In the 19th century, the villagers of Treawtha suspected Tobias Philby of practising black magic rituals (actually time travel experiments), and when these were seemingly confirmed they burned down his house. (COMIC: The Amateur)
Daniel Hinton used black magic and got explelled from Brendon Public School. Later he used black magic again to get himself and Alistair Gordon Lethbridge-Stewart into the astral plane during Lethbridge-Stewart's dreams. It was the only place in which Daniel was free from the Great Intelligence's influence and where he could warn Lethbridge-Stewart to trust no one. (HOMEVID: Downtime)