Conference paper Open Access

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

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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": [
[
2022,
9,
17
]
]
},
"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"
},
{
}
],
"id": "7088389",
"type": "paper-conference",
"event": "The 3rd Conference on AI Music Creativity (AIMC 2022)"
}
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