Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited

DOI10.1080/17459737.2018.1545056zbMath1427.00039OpenAlexW2945410539MaRDI QIDQ5207097

David Clampitt, 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/10.1080/17459737.2018.1545056

zbMATH Keywords

Sturmian morphismsalgebraic combinatorics on wordskaleidoscope substitutionsmajor-minor dualitypairwise well-formed modes

Mathematics Subject Classification ID

Combinatorics on words (68R15) Mathematics and music (00A65)

Related Items (4)

Finite self-similar sequences, permutation cycles, and music composition ⋮ Transformations for pairwise well-formed modes ⋮ Exploring the Syntonic Side of Major-Minor Tonality ⋮ Symbolic structures in music theory and composition, binary keyboards, and the Thue–Morse shift

Cites Work

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• A presentation for the special automorphism group of a free group
• Pairwise well-formed modes and transformations
• Algebra of harmony: transformations of just consonances
• On an involution of Christoffel words and Sturmian morphisms
• Triads as Modes within Scales as Modes
• Mathematical and Musical Properties of Pairwise Well-Formed Scales
• Well-formedness in two dimensions: a generalization of Carey and Clampitt's theorem
• Ionian theorem
• Dual lattice-path transformations and the dynamics of the major and minor exo-modes
• Exploring the Syntonic Side of Major-Minor Tonality

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