How do musical analysis and performance relate? In a unique collaborative approach to this question, theorist-pianist Daphne Leong partners with internationally renowned performers to interpret twentieth-century repertoire. Imaginative explorations of music by Ravel, Schoenberg, Bartók, Schnittke, Milhaud, Messiaen, Babbitt, Carter, and Morris illuminate focal issues such as the role of embodiment, the affordances of a score, the cultural understanding of notation, the use of metaphor, and--to round out the viewpoints of theorist and performers with those of composer and listeners--the role of structure in audience reception. Each exploration engages deeply with musical structure, redefined to encompass the creative activity of composers, performers, analysts, and listeners. Performances, demonstrations, and interviews online complement the book's written text; practical application and pedagogical guidance round out theoretical and analytical content. The collaborations themselves demonstrate different dimensions of knowledge at the intersection of analysis and performance, and illustrate Leong's theory of the things and people that facilitate cross-disciplinary collaboration in music. They also exemplify the antagonisms and synergies that emerge when theorists and performers meet. Both flexibly and rigorously conceived, Performing Knowledge is a brave crossing of disciplinary divides between scholarship and practice, a work of analysis shaped by the voices of performers.