Abstract
The paper examines the structural and conceptual differences between the Speculum musicum from Euler’s 1774 De Harmoniae, and the nineteenth-century Tonnetz, but also examines how Euler’s conception of intervals as paths within the Speculum anticipates a combinatorial conception of interval that underlies contemporary transformational theories.
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References
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Gollin, E. (2009). Combinatorial and Transformational Aspects of Euler’s Speculum Musicum . In: Klouche, T., Noll, T. (eds) Mathematics and Computation in Music. MCM 2007. Communications in Computer and Information Science, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04579-0_40
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DOI: https://doi.org/10.1007/978-3-642-04579-0_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04578-3
Online ISBN: 978-3-642-04579-0
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