From ErfWiki

Proposed Canon

One of the three axes of magic (along with Fate and Numbers) used to break a major class of magic into its different disciplines.^Erf-b1-p038a

Class\Axis	Erf
Hocus Pocus	Findamancy
Spookism	Turnamancy
Stuffamancy	Dirtamancy
Eyemancy	Lookamancy
Hippiemancy	Flower Power
Naughtymancy	Shockmancy
Stagemancy	Hat Magic
Clevermancy	Luckamancy

Speculation

Erf, possibly derived from the word "Earth", tends to deal with the physical, tangible, and practical. Findamancy locates a unit, object, or location that exists. Turnamancy affects a unit's Loyalty or a city's unit production. Dirtamancy creates and heals golems from available material, and can move and restructure the Erf itself. Lookamancy allows you to see a distant location as it is at that moment. Flower Power and Shockmancy have direct effects on units. Hat Magic creates magic hats and transports physical matter. Least clearly physical is Luckamancy, which seems to directly affect reality.