Guerino Mazzola, Maria Mannone, Yan Pang

Research output: Chapter in Book/Report/Conference proceedingChapter


Recursion is a technique to define concepts that depend on natural numbers. First, such a concept is defined for n = 0. Then, the concept for n is supposed to be defined, and we use the concept for n to define the concept for n+1. Therefore, it is defined for all natural numbers n. This is the idea of recursion, namely the definition by induction. We will prove that this mathematical process is possible. We then apply recursion to create musical compositions.

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Number of pages5
StatePublished - 2016

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.


  • Fibonacci Number
  • Golden Ratio
  • Natural Number
  • Recursive Function
  • Recursive Method


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