Two theorems concerning rational approximations

DOI10.1080/17459737.2012.679028zbMath1264.00018OpenAlexW2029081457MaRDI QIDQ4922589

David Clampitt, Norman Carey

Publication date: 30 May 2013

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

Full work available at URL: https://doi.org/10.1080/17459737.2012.679028

zbMATH Keywords

continued fractionwell-formed scaleMyhill's propertyThree Gap Theorem (Steinhaus's conjecture)

Mathematics Subject Classification ID

Mathematics and music (00A65)

Related Items (5)

Addendum to “Two theorems concerning rational approximations” ⋮ Perfect balance and circularly rich words ⋮ Variety and multiplicity for partitioned factors in Christoffel and Sturmian words ⋮ On the construction, comparison, and exchangeability of tuning systems ⋮ An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain

Cites Work

• Musical Scales and the Generalized Circle of Fifths
• Unnamed Item

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