Schools Of Hermetic Elementalism
SCHOOL ELEMENTS
Asphyxiamancer Air & Water
Corrosionist Fire & Earth
Cryomancer Water
Electromancer Air
Geomancer Earth
Illusionist Fire & Air
Pyromancer Fire
Toximancer Water & Earth

(Another version of the table:)

SCHOOL ELEMENTS
Asphyxiamancer Air & Water
Corrosionist Fire & Earth
Cryomancer Water
Electromancer Air
Geomancer Earth
Illusionist Fire & Air
Pyromancer Fire
Toximancer Water & Earth

Opposing Elements:
Water vs Fire
Air vs Earth

Joining a secondary disallows you from joining any
secondary with an opposing Element. Also, as you
gain extra damage with that secondary school,
you lose power in spells of the schools with
opposing elements.

A diagram of the interaction of the various 
schools of hermetic elementalism:

                  (Geo)
                  EARTH
                    -
                   / \
                  /   \
                 /     \
         (Toxi) /       \ (Corrosion)
               /         \
              /           \
             /             \
(Cryo) WATER<               > FIRE (Pyro)
             \             /
              \           /
               \         /
       (Asphyx) \       / (Illus)
                 \     /
                  \   /
                   \ /
                    -
                   AIR
                (Electro)
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