Harmonic qualities in Debussy's “Les sons et les parfums tournent dans l'air du soir”

DOI10.1080/17459737.2018.1450457zbMath1395.00023OpenAlexW2809422045MaRDI QIDQ5374504

Jason Yust

Publication date: 14 September 2018

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/2144/39069

zbMATH Keywords

harmonic functiondiscrete Fourier transformdiatonicityperfect balancedebussyharmonic qualitiesoctatonicitywhole-tone collection

Mathematics Subject Classification ID

Topoi (18B25) Subgroups of symmetric groups (20B35) Mathematics and music (00A65)

Related Items (5)

Non-spectral transposition-invariant information in pitch-class sets and distributions ⋮ Quantum-musical explorations on \(\mathbb{Z}_n\) ⋮ Introduction to the special issue on perfect balance and the discrete Fourier transform ⋮ Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts

Cites Work

• Music through Fourier space. Discrete Fourier transform in music theory
• Interval content vs. DFT
• Probing questions about keys: tonal distributions through the DFT
• Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters
• Applications of DFT to the Theory of Twentieth-Century Harmony
• Spelled Heptachords
• Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l'unité”
• Exploring the space of perfectly balanced rhythms and scales

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