Designing inharmonic strings

DOI10.1080/17459737.2018.1491649zbMath1457.35083OpenAlexW2892337234MaRDI QIDQ4620414

Kevin Hobby, William A. Sethares

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1080/17459737.2018.1491649

zbMATH Keywords

musical instrument designvibrations of stringsinharmonic oscillationsinharmonic soundsnon-uniform strings

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Three-string inharmonic networks

Cites Work

• A one-measurement form of simultaneous perturbation stochastic approximation
• Online learning via congregational gradient descent
• Using inharmonic strings in musical instruments
• Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
• Stochastic Estimation of the Maximum of a Regression Function
• Unnamed Item
• Unnamed Item

This page was built for publication: Designing inharmonic strings