In 2016 the Universidade Federal do Rio de Janeiro launched MusMat: Brazilian journal of music and mathematics, which brings together articles, interviews, and news on the interactions between music and mathematics in applications in analysis and composition. The journal is peer-reviewed and open-access.
Below, a work by Rodolfo Coelho de Souza, who discusses his compositional methods in the inaugural issue.
Beethoven’s last piano sonatas: An edition with elucidation (Oxford University Press, 2015) is the first English-language edition and translation of Heinrich Schenker’s landmark editions of Beethoven’s opp. 109, 110, 111, and 101 (Wien: Universal Edition, 1913).
Each of the four volumes incorporates references to corrections and other remarks entered by Schenker in his personal copies of the sonatas, many of which have not been presented in any of the previous German editions of the works.
Also included are supplements to the original text with explanations of certain points in the commentary and graphic presentations of several passages.
Below, Svâtoslav Rihter performs the op. 101 sonata.
www.Vmus.net: Online platform for musical performance studies is a free online resource that provides tools that enable any Internet user to analyze sound files and obtain waveforms, spectrograms, tempo-dynamic curves, and performance data by simply clicking a few buttons. Only a login is required.
Above, the site’s imaging of the opening bars of the overture to Bizet’s Carmen; below, a demonstration of some of this resource’s capabilities.