Diminuendo al bottom—Clarifying the semantics of music notation by re-modeling

Autoři: Markus Lepper aff001;  Michael Oehler aff002;  Hartmuth Kinzler aff002;  Baltasar Trancón y Widemann aff001
Působiště autorů: Semantics GmbH, Berlin, Germany aff001;  Osnabrück University – Institute for Musicology and Music Pedagogy, Osnabrück, Germany aff002
Vyšlo v časopise: PLoS ONE 14(11)
Kategorie: Research Article
doi: 10.1371/journal.pone.0224688


One of many aspects of musical notation is that of a graphical language which strives to be totally precise, but falls short because it has been defined by historical evolution, cultural construction and de-central ramification. This article applies standard techniques for computer languages to reconstruct a precise model for the syntax and semantics of the historically grown notation systems, taking the conventional way of notating musical dynamics as a simple example. It turns out that no single such model is possible, but a multitude of incompatibles: some have fundamentally different evaluation algorithms, others only slightly different parameter settings. Musical practice is allowed to switch between these models without even noticing their existence, but science may need distinctness. This article constructs and demonstrates an extensible mathematical framework for their precise description and proposes an extensible nomenclature system as a basis for their application and discussion.

Klíčová slova:

Algorithms – Language – Mathematical models – Music perception – Programming languages – Semantics – Syntax – Computer modeling


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Článek vyšel v časopise


2019 Číslo 11