Groups comparison

Sorcery (Witchcraft;Spellcasting) - 1981 to 2022
Player character can or must employ knowledge of the arcane, cast magic spells or do other sorcerous deeds.

Mystic protagonist (Magic-user protagonist;Wizard protagonist;Mage protagonist)[witch;sorceror;sorcerer;sorceress;magician] - 1982 to 2018
The protagonist is a wizard, shaman or some other character whose occupation delves into the mystical realm.

Spell designing (Spell creation) - 1994 to 2016
Player can create new spells by combining various effectors together, varying from spell properties (duration, range, power) to effects (burn, heal, create fork) to application methods (by touch, throw, "just happens", etc.) and so forth.

sorcery
mysticprotagonist
spelldesigning
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