Conference paper Open Access

Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations

Nguyen, Philon; Tsabary, Eldad


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  <dc:creator>Nguyen, Philon</dc:creator>
  <dc:creator>Tsabary, Eldad</dc:creator>
  <dc:date>2022-09-17</dc:date>
  <dc:description>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.</dc:description>
  <dc:identifier>https://zenodo.org/record/7088389</dc:identifier>
  <dc:identifier>10.5281/zenodo.7088389</dc:identifier>
  <dc:identifier>oai:zenodo.org:7088389</dc:identifier>
  <dc:publisher>AIMC</dc:publisher>
  <dc:relation>doi:10.5281/zenodo.7088388</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:title>Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations</dc:title>
  <dc:type>info:eu-repo/semantics/conferencePaper</dc:type>
  <dc:type>publication-conferencepaper</dc:type>
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