One-dimensional modeling of edge tones for real-time simulations

Hiroto Seki, Toshiya Takami

Research output: Contribution to journalArticlepeer-review


A reduced model is introduced to represent an oscillation of a jet by edge tones. The edge tone is one of the indispensable elements in air-reed musical instruments, such as a recorder, a flute, a ue organ pipe, etc. The main approach is to obtain a representation by a one-dimensional partial differential equation (PDE) which is intended to shorten a computational time. Several parameter values are determined through a comparison between model functions and results by two-dimensional uid mechanics calculations. Through a numerical integration of our model PDE and time measurements, it is shown that this model is applicable to real-time simulations to describe dynamics of air-reed instruments.

Original languageEnglish
Pages (from-to)45-51
Number of pages7
JournalResearch Reports on Information Science and Electrical Engineering of Kyushu University
Issue number2
Publication statusPublished - Jul 2015


  • Air-reed instruments
  • Edge tones
  • Fluid mechanics
  • Real-time simulation
  • Reduced model


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