Experiencing art calls for a unique processing mode -this premise has been repeatedly debated during the last 300 years. Despite that, we still lack a theoretical and empirical basis for understanding this mode essential to understanding experiencing of art. We begin this position paper by reviewing the literature related to this mode and revealing a wide diversity and hardly commensurable theoretical approaches. This might be an important reason for the thin empirical data regarding this theme, especially when looking for ecologically valid experimental studies. We propose the Mode of Art eXperience (MAX) concept to establish a coherent theoretical framework. We argue that even very established works often overlook the essence of more profound and so to say "true" art experience. We discuss MAX in relation to evolutionary psychology, art history, and other cognitive modes (play, religion, and the Everyday). We also propose that MAX is not the only extraordinary mode to process information specifically, but that for experiencing art, we evidently need a frame that enables MAX to unfold the full range of art-related phenomena which make art so culturally particular and essential for humankind.