Conference paper Open Access

Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations

Nguyen, Philon; Tsabary, Eldad

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  "publisher": "AIMC", 
  "DOI": "10.5281/zenodo.7088389", 
  "container_title": "Proceedings of the 3rd Conference on AI Music Creativity", 
  "title": "Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations", 
  "issued": {
    "date-parts": [
  "abstract": "<p>Random walks, fractional Brownian motion and stochastic processes have been used extensively by composers such as Iannis Xenakis and others, creating instantly recognizable textures. A trained ear can differentiate a uniform random walk from a Poisson process or an fBm process and random rotations. In the opera Sophocles: Antigone by one of the authors of this paper, random walks on neo- Riemannian PLR spaces were experimented with yielding mixed impressions of process music and post-romantic chromaticism. When the random walk is steered by transformational rules, special textures and harmonies emerge. We propose a new kind of parameterizable random walks, a generative system, on a space of arbitrary length chords equipped with an arbitrary distance measure steered from a customizable corpus learned by the system. The corpus provides a particular texture and harmony to the generative process. The learned neo-Riemannian spaces equipped with some distance measure provide the transformational rule base of the concatenative synthesis process.</p>", 
  "author": [
      "family": "Nguyen, Philon"
      "family": "Tsabary, Eldad"
  "id": "7088389", 
  "type": "paper-conference", 
  "event": "The 3rd Conference on AI Music Creativity (AIMC 2022)"
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