This is subject to change as I'll update it over time.
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Elemantal magic
•Central Basic Elements
-Fire
-Water
-Earth
-Air
-Light
-Darkness
-Positive
-Negative
-Neutral
•Derivative Basic Elements
>Duo Derivation
-Ice(Water/Air)
-Steam(Fire/Water)
-Ooze(Water/Darkness)
-Wood(Water/Earth)
-Magma(Earth/Fire)
-Sand(Earth/Air)
>Triple Derivation
-Heat(Fire/Air/Positive)
-Cold(Water/Air/Negative)
-Metal(Earth/Fire/Water)
-Salt(Earth/Air/Water)
>Quadruple Derivation
-Plant(Water/Earth/Air/Light)
-Lightning(Fire/Water/Air/Heat)
-Rubber(Water/Heat/Darkness/Air)
>Quintuple Derivation
-Snow(Water/Air/Earth/Cold/Light)
-Minerals(Earth/Air/Heat/Darkness/Fire)
-Wax(Plant/Heat/Darkness/Air/Water)
>Sextuple Derivation
-Clouds(Air/Water/Heat/Light/Fire/Cold)
-Smoke(Fire/Water/Darkness/Air/Earth/Heat)
>Septuple Derivation
-Dust(Earth/Air/Light/Water/Fire/Darkness/Positive)
-Ash(Fire/Earth/Air/Water/Light/Darkness/Negative)
Neutral magic
•Neutral Elements
-Neutral(Yeah, you know)
-Lifestyle
-Command
Auxiliary Magic
•Auxiliary Elements
-Holy
-Buffing
-Debuffing
-Blessings
-Enchantment
-positive(Healing)
-Negative(Decay)
Ritualistic magic
•Ritualistic Elements
-Curses
-Summoning
-Ritual
-Prayers
-Spirit
-Unholy
Special magic
•Advanced Elements
-Gravity
-Life
-Death
-Order
-Chaos
-Yin
-Yang
-Fate
-Karma
-Primordial
-Heavenly
-Hellish
-Demonic
-Physical
-Angelic
-Space
-Time
-Void(Vacuum)
-Null(Null-Magic)
-Anti
Unique magic
-Isekai
-Cheat