Dual lattice-path transformations and the dynamics of the major and minor exo-modes

DOI10.1080/17459737.2018.1548035zbMath1427.00038OpenAlexW2945962046WikidataQ127938344 ScholiaQ127938344MaRDI QIDQ5207098

Thomas Noll

Publication date: 7 January 2020

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

Full work available at URL: https://doi.org/10.1080/17459737.2018.1548035

zbMATH Keywords

diatonic Euler-Regener transformationdual lattice-path transformationeigen-heighteigen-widthEuler-Oettingen-Riemann tone netEuler-Regener interval systemHandschin planelattice-path transformationmajor modeminor mode

Mathematics Subject Classification ID

Mathematics and music (00A65)

Related Items (2)

Music and combinatorics on words: a historical survey ⋮ Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited

Cites Work

• Unnamed Item
• On an involution of Christoffel words and Sturmian morphisms
• Mathematical and Musical Properties of Pairwise Well-Formed Scales
• Well-formedness in two dimensions: a generalization of Carey and Clampitt's theorem
• Exploring the Syntonic Side of Major-Minor Tonality
• Glarean’s Dodecachordon Revisited
• Pisot substitutions and Rauzy fractals

This page was built for publication: Dual lattice-path transformations and the dynamics of the major and minor exo-modes