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Michael Edgerton



A Short Description Of The Influence Of “Scale-Free” Networks In The 1 Sonata, For Piano.


  • Michael Edgerton

Summary, in English

This 1 sonata uses simple generative principles, to develop networks of relatively high complexity in which intuition actively participates to produce an output with a certain degree of activity and acoustic nonlinearity.

Albert-László Barabási, from the introduction to his book titled Linked: the new science of networks, “Just as diverse humans share skeletons that are almost indistinguishable, we have learned that these diverse maps follow a common blueprint. A string of recent breathtaking discoveries has forced us to acknowledge that amazingly simple and far-reaching natural laws govern the structure and evolution of all the complex networks that surround us.” (Barabási, 2003)

In part, this 1 sonata is influenced by a line of work known as “scale-free” networks. Briefly what this suggests is that networks are everywhere, from biological to eco-systems, even to the internet. These are not yet well understood, but research is beginning to provide answers. It seems that many networks are dominated by a relatively small number of important nodes/hubs that are connected to many other sites. While some hubs have only a few links, others have an enormous amount of links, and it is this sense in which they are “scale-free”. Further, no node is typical of
the others.

This is dramatically different than the previous 40 years of research on complex networks, which were understood to be random, such that most nodes have approximately the same number of links. What recent research had found was that, instead of following a bell-shaped distribution (like the height of the majority of the world’s population), many networks feature a power law distribution (or finding the equivalent of lots of folks who are100 feet tall!).

These answers have significantly altered our understanding of complex networks. Unexplained by previous network theories, hubs offer convincing proof that various complex systems have strict architecture ruled by fundamental laws – these laws apply to real-world systems (cells, computers, languages and society) – but further, these organizing principles have significant implications for creation (developing better drugs, defending the internet, halting the spread of epidemics, or even composing music).


  • Lärare (Musikhögskolan)








Complexity Digest


  • Music
  • Other Computer and Information Science


  • music composition
  • Network topology
  • Network dynamics
  • Network design
  • scale-free networks
  • Albert-László Barabási