Web19 Jan 2007 · Comment on "The geometry of musical chords" Tymoczko (Reports, 7 July 2006, p. 72) proposed that the familiar sonorities of Western tonal music cluster around … http://individual.utoronto.ca/csjyu/writings/mat477_geomusic.pdf
A Geometry of Music - Hardback - Dmitri Tymoczko - Oxford …
WebThe Geometry of Musical Chords Dmitri Tymoczko - Free download as PDF File (.pdf), Text File (.txt) or read online for free. A musical chord can be represented as a point in a … Web5 May 2011 · About the Author(s) Dmitri Tymoczko, Associate Professor, Princeton University. Dmitri Tymoczko is a composer and music theorist who teaches at Princeton … hairdressers lifford
Comment on "The Geometry of Musical Chords" Science
Web19 Jan 2007 · First, the constituent voices all converge on the tonic at the end (the cadence). The upper voices approach the tonic by step, whereas the bottom voice leaps. Second, … WebA musical chord can be represented as a point in a geometrical space called an orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of styles have exploited the non-Euclidean geometry of these spaces, typically by using short line segments between structurally similar chords. Such ... http://dmitri.mycpanel.princeton.edu/sciencearticle.html hairdressers lightwater