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Return to temperament (In digital systems)

Renney, Nathan; Gaster, Benedict; Mitchell, Tom


Nathan Renney
Lecturer Graduate Tutor in Computere Science - Artificial I

Benedict Gaster
Associate Professor in Physical Computing

Tom Mitchell
Associate Professor in Creative Technologies



Considering the generation of musical tunings, it is reasonable to expect that the many constructs contained in Functional programming languages may provide useful tools for exploring both conventional and new tunings. In this paper we present a number of approaches for manipulating tunings using basic mathematics. While this provides a simple foundation for describing temperament, it is fundamental enough to support a variety of approaches and further, allows the unbounded description of arbitrary tunings. It is expected that this notion will be useful in defining tunings, and by extension scales, for Digital Musical Instruments. This breaks down the physical barrier that has limited the likes of just intonations from having practical applications in the performance setting. It also enables composers to explore a variety of non traditional temperaments rapidly, without having to manually tune each note.


Renney, N., Gaster, B., & Mitchell, T. (2018, September). Return to temperament (In digital systems). Paper presented at Audio Mostly

Presentation Conference Type Conference Paper (unpublished)
Conference Name Audio Mostly
Start Date Sep 12, 2018
End Date Sep 14, 2018
Acceptance Date Jun 28, 2018
Publication Date Jan 1, 2018
Peer Reviewed Peer Reviewed
ISBN 9781450366090
Keywords functional, programming, temperament, tuning
Public URL
Additional Information Title of Conference or Conference Proceedings : Audio Mostly


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