Conference paper Open Access

# Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations

Nguyen, Philon; Tsabary, Eldad

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{
"description": "<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>",
"creator": [
{
"affiliation": "Concordia University",
"@type": "Person",
"name": "Nguyen, Philon"
},
{
"affiliation": "Concordia University",
"@type": "Person",
}
],
"headline": "Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations",
"datePublished": "2022-09-17",
"url": "https://zenodo.org/record/7088389",
"@type": "ScholarlyArticle",
"@context": "https://schema.org/",
"identifier": "https://doi.org/10.5281/zenodo.7088389",
"@id": "https://doi.org/10.5281/zenodo.7088389",
"workFeatured": {
"alternateName": "AIMC 2022",
"@type": "Event",
"name": "The 3rd Conference on AI Music Creativity"
},
"name": "Random Walks on Neo-Riemannian Spaces: Towards Generative Transformations"
}
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