The paper investigates the relationship betweencapitalism systems and their levels of income andcompositional inequality (how the composition ofincome between capital and labor varies along incomedistribution). Capitalism may be seen to range betweenClassical Capitalism, where the rich have only capitalincome, and the rest have only labor income, andLiberal Capitalism, where many people receive bothcapital and labor incomes. Using a new methodologyand data from 47 countries over the past 25 years, weshow that higher compositional inequality is associatedwith higher inter-personal inequality. Nordic countriesare exceptional because they combine highcompositional inequality with low inter-personalinequality. We speculate on the emergence ofhomoploutic societies where income composition maybe the same for all, but Gini inequality nonethelesshigh, and introduce a new taxonomy of capitalistsocieties. (Stone Center Working Paper Series) Revised