Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme

DOI10.1080/00029890.2020.1674073zbMath1427.00030arXiv1904.02897OpenAlexW2996262931WikidataQ126533337 ScholiaQ126533337MaRDI QIDQ5207475

Maria Bras-Amorós

Publication date: 2 January 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02897

Mathematics Subject Classification ID

Mathematics and music (00A65)

Related Items (7)

Unnamed Item ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ Bi-atomic classes of positive semirings ⋮ Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup ⋮ Atomicity and density of Puiseux monoids ⋮ When Is a Puiseux Monoid Atomic? ⋮ On semigroup algebras with rational exponents

Cites Work

• Atomicity and boundedness of monotone Puiseux monoids
• Factorization in integral domains
• Increasing positive monoids of ordered fields are FF-monoids
• Fibonacci-like growth of numerical semigroups of a given genus.
• Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup
• Fibonacci-like behavior of the number of numerical semigroups of a given genus.
• The Mathematics of Musical Instruments
• Musical Actions of Dihedral Groups
• Totally ordered commutative semigroups
• Musical intervals and special linear transformations
• Counting Numerical Semigroups
• On the atomic structure of Puiseux monoids
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