Articles about Harmonics

Recording the Vibraphone
Percussive Notes (2016) Vol. 54, No. 3, pp. 32-33


Tonal Symmetry in "Leonore": An Instance of an Enduring Principle in Beethoven's Compositional Method

This essay presents evidence that the design of Beethoven's "Leonore" relies on tonal symmetry. The central key of the opera is C major; pairs of keys symmetrically disposed around C in terms of musical space--such as A-flat and E, B-flat ...

Acoustic Quality, Proximity and Localization In Concert Halls: The Role of Harmonic Phase Alignment
Psychomusicology (2015) Vol. 25, No. 3, pp. 339-344

The apparent closeness of a sound source, recently identified by Lokki, Pätynen, Kuusinen, and Tervo (2012) as "proximity," has emerged as a primary determinant of preference for the acoustics of concert halls, but no current acoustic measure correlates with it. ...

Schubert's Harmonic Language and Fourier Phase Space
Journal of Music Theory (2015) Vol. 59, No. 1, pp. 121-181

This article introduces a type of harmonic geometry, Fourier phase space, and uses it to advance the understanding of Schubert's tonal language and comment upon current topics in Schubert analysis. The space derives from the discrete Fourier transform on pitch-class ...

Reinventing Harmony in "Splintered Echoes" (2014)
Divergence Press (2015) , No. 4, pp. np

This paper discusses the new harmonic possibilities enabled through the implementation of Sethares' theory of the dissonance curve in MAX and its use in a live electronic composition "Splintered Echoes" with Monty Adkins (composer), Jonny Axelsson (composer and percussionist) and ...

The Gig: Lee Konitz
JazzTimes (2014) Vol. 44, No. 8, pp. np