Titel:	Modulation Mining - Computer-Aided Exploration of Functional Chord Forms
Autor(en):	Lepper, Markus Trancón y Widemann, Baltasar Oehler, Michael
ORCID des Autors:	https://orcid.org/0000-0002-9120-3908 https://orcid.org/0000-0003-1034-8601
Zusammenfassung:	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.
Bibliografische Angaben:	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
Schlagworte:	Functional harmonic theory; Romantic harmony; Riemannian analysis; tonal modulation; Prolog; regular expressions
Erscheinungsdatum:	27-Feb-2023
Lizenzbezeichnung:	Attribution 4.0 International
URL der Lizenz:	http://creativecommons.org/licenses/by/4.0/
Publikationstyp:	Einzelbeitrag in einer wissenschaftlichen Zeitschrift [Article]
Enthalten in den Sammlungen:	FB03 - Hochschulschriften Open-Access-Publikationsfonds

Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons