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Survey of a new class of models of CP violation.

We survey a new class of models of C-italicP-italic violation with no strong C-italicP-italic problem. We show that there exists a large variety of models in this class. If there are no exotic low-mass quarks or leptons then these models predict the existence of light, color-nonsinglet scalar fields. These scalars have striking experimental consequences including K-italic..--> mu..e-italic and ..mu -->..3e-italic. We show that in some of these models the sign of cosmological baryon asymmetry can be related to a measurable parameter. We exhibit a model involving mirror fermions in which there are no light, colored scalars.