H1: Neo-Riemannian Voice Leading as Wasserstein-1 Optimal Transport on Z₁₂

Prior art establishing that Neo-Riemannian P/R/L voice leading transformations are equivalent to Wasserstein-1 optimal transport minimization on the cyclic group Z₁₂. Includes formal proof and prior art search results.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20967276
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

H1: Neo-Riemannian Voice Leading as Wasserstein-1 Optimal Transport on Z₁₂

Maksym Diachenko
Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
preprint

H1: Neo-Riemannian Voice Leading as Wasserstein-1 Optimal Transport on Z₁₂

Maksym Diachenko
preprint en

Abstract

Prior art establishing that Neo-Riemannian P/R/L voice leading transformations are equivalent to Wasserstein-1 optimal transport minimization on the cyclic group Z₁₂. Includes formal proof and prior art search results.

Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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H1: Neo-Riemannian Voice Leading as Wasserstein-1 Optimal Transport on Z₁₂ — Maksym Diachenko · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS