Title:	Modulation Mining - Computer-Aided Exploration of Functional Chord Forms
Authors:	Lepper, Markus Trancón y Widemann, Baltasar Oehler, Michael
ORCID of the author:	https://orcid.org/0000-0002-9120-3908 https://orcid.org/0000-0003-1034-8601
Abstract:	The different labelling systems defined by the functional theories of harmony have been developed from about 1870 to 1950, without the help of computers. The complexity of harmonic labels spans from pure triads over added characteristic dissonances, over alterations of the fifth, up to non-chord notes like suspensions. Computer-based evaluation of functional label expressions shows that thereby their cardinality increases up to several thousands. For this, we present the basic theory, a concrete program implemented in Prolog, and some empirical results. The software is capable of analysing historic published analyses by inductively collecting all appearing labels, as well as theories as such, where the set of labels is given deductively, by regular expressions. A major application is the mining for possible modulation chords, i.e. different functional labels which result in (enharmonically) the same pitch classes. That this strategy had actually been applied by composers manually is explained by significant examples from the Romantic period.
Citations:	Lepper, M., Trancón y Widemann, B., & Oehler, M. (2023). Modulation Mining - Computer-Aided Exploration of Functional Chord Forms. Music & Science, 6.
URL:	https://doi.org/10.48693/485 https://osnadocs.ub.uni-osnabrueck.de/handle/ds-2024021210601
Subject Keywords:	Functional harmonic theory; Romantic harmony; Riemannian analysis; tonal modulation; Prolog; regular expressions
Issue Date:	27-Feb-2023
License name:	Attribution 4.0 International
License url:	http://creativecommons.org/licenses/by/4.0/
Type of publication:	Einzelbeitrag in einer wissenschaftlichen Zeitschrift [Article]
Appears in Collections:	FB03 - Hochschulschriften Open-Access-Publikationsfonds

This item is licensed under a Creative Commons License