Notes and note pairs in Nørgård's infinity series

DOI10.1080/17459737.2017.1299807zbMath1390.00053arXiv1402.3091OpenAlexW2962721384WikidataQ60692387 ScholiaQ60692387MaRDI QIDQ4608191

Christopher Drexler-Lemire, Jeffrey O. Shallit, Yu Hin (Gary) Au

Publication date: 16 March 2018

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

Full work available at URL: https://arxiv.org/abs/1402.3091

zbMATH Keywords

intervalself-similaritycontext-free languagebinomial coefficientrepetitionPascal's trianglehierarchical musicNørgård's infinity seriesnote pairrunning sum

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Automata sequences (11B85) Mathematics and music (00A65)

Related Items (1)

Symbolic structures in music theory and composition, binary keyboards, and the Thue–Morse shift

Uses Software

• OEIS

Cites Work

• Three models for the description of language
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