Unifying Tone System Definitions: Ordering Chromas

Date

Feb 5, 2016

Time

1:15 PM - 2:15 PM

Speaker

Tobias Schlemmer

Affiliation

TU Dresden, Institut für Algebra

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Jun.-Prof. Dr. Martin Schneider

Description

The talk describes the background of a musical tone system definition that has been proposed [1] in the proceedings of the MCM2015 in London.[2] This definition uses abstract ordered groups as interval groups. The common operation of octave identification is replaced by a folding operation for ordered sets that is based on the factorisation of groups by normal subgroups. The resulting structure is used to provide a chroma system definition that can preserve a certain amount of the order relation. Additionally, a path is shown that allows the integration of the David Lewin's theory of Generalized Interval Systems into the extensional language that has been proposed by Rudolf Wille and Wilfried Neumaier. [1] http://link.springer.com/chapter/10.1007/978-3-319-20603-5_30 [2] http://mcm2015.qmul.ac.uk/

Links

• Institut für Algebra: International Seminar

Last modified: Jan 28, 2016, 5:27:24 PM