Parsimonious graphs for selected heptatonic and pentatonic scales

DOI10.1007/978-3-031-07015-0_3zbMath1495.00037OpenAlexW4285180435MaRDI QIDQ2165131

Luis Nuño

Publication date: 18 August 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-07015-0_3

zbMATH Keywords

cycle of fifthscycle of fourthscyclopsheptatonic scaleparsimonious transformationpentachord-type vectorpentatonic scaletetrachord-type vectortrichord-type vector

Mathematics Subject Classification ID

Applications of graph theory (05C90) Mathematics and music (00A65)

Cites Work

• Spelled Heptachords
• A detailed list and a periodic table of set classes
• Parsimonious graphs for the most common trichords and tetrachords

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