Conference paper Open Access

Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations

Nguyen, Philon; Tsabary, Eldad


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  <identifier identifierType="DOI">10.5281/zenodo.7088389</identifier>
  <creators>
    <creator>
      <creatorName>Nguyen, Philon</creatorName>
      <givenName>Philon</givenName>
      <familyName>Nguyen</familyName>
      <affiliation>Concordia University</affiliation>
    </creator>
    <creator>
      <creatorName>Tsabary, Eldad</creatorName>
      <givenName>Eldad</givenName>
      <familyName>Tsabary</familyName>
      <affiliation>Concordia University</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2022</publicationYear>
  <dates>
    <date dateType="Issued">2022-09-17</date>
  </dates>
  <resourceType resourceTypeGeneral="ConferencePaper"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/7088389</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.7088388</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;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.&lt;/p&gt;</description>
  </descriptions>
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