Harmonic Forms on the Edge

James Tenney examines some of John Cage's theoretical ideas and their possible implications for a new theory of harmony that he argues requires new definitions of “harmony,” “harmo...

In his “Darmstadt Lecture,” one of the few published examples of his public lectures, James Tenney talks about problems of harmony, which he breaks down into a number of other, sma...

This concluding chapter evaluates Alec Wilder's music. Listeners are often struck by the tunefulness of Wilder's creations, whether a popular song or a concerto or sonata. Indeed, ...

This chapter presents various results about quadratic forms of type E⁶, E₇, and E₈. It first recalls the definition of a quadratic space Λ‎ = (K, L, q) of type Eℓ for ℓ = 6, 7 or 8...

This chapter provides an introduction to the basic results on the topology of compact Kähler manifolds that underlie and motivate Hodge theory. This chapter consists of five sectio...

The origin of periphrastic verb forms in German is seen in the context of an articulated grammaticalization theory, where grammaticalization is understood as a series of a semantic...

This text offers a perspicuous, empirically-informed theoretical overview of the prospects for citizenship in the light of its current political context. The authorial team compris...

This exciting new book showcases the work of a very diverse selection of 52 artists from 28 countries, against a spectrum of the concerns that inform the role and function of art i...