Summary
Differentiability is stronger than continuity in that for a differentiable curve, we need to have a slope line at every point, i.e., the curve must not have corners. This chapter deals with this concept and its application to music.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Mazzola, G., Mannone, M., Pang, Y. (2016). Differentiability. In: Cool Math for Hot Music. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-42937-3_31
Download citation
DOI: https://doi.org/10.1007/978-3-319-42937-3_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42935-9
Online ISBN: 978-3-319-42937-3
eBook Packages: Computer ScienceComputer Science (R0)