It has been shown in recent years that incoherent pumping through mult
iple atomic levels provides a mechanism for the production of highly a
nti-bunched light, and that as the number of incoherent steps is incre
ased the light becomes increasingly regular. We show that in a resonan
ce fluorescence situation, a multi-level atom may be multiply coherent
ly driven so that the fluorescent light is highly anti-bunched. We sho
w that as the number of coherently driven levels is increased, the spo
ntaneous emissions may be made increasingly more regular. We present a
systematic method for designing the level structure and driving requi
red to produce highly anti-bunched light in this manner for an arbitra
ry even number of levels.