Modernity is better defined as a time orientation, instead of as a set of institutions, which usually smuggles in some provincial or other aprioristic assumptions. A time conception of modernity also gives a precise meaning to postmodernity. Modernity in this non-Eurocentric sense, entails several different, competing master narratives, different social forces of, and conflicts between, modernity and anti-modernity, and different cultural contextualizations of the past-future contrast. But these different varieties do not simply coexist and challenge each other, they are entangled with each other in various ways. Starting from observing how different time warps were interwoven in vanguard modernist art, an analytical framework for grasping, understanding, and explaining the entanglement of modernities is spelled out.