Constructing a Piano: A Key is Provided by Leonhard Euler

Year: 2001 Authors: Robert L. Bailey

Core claim

Choosing how many notes belong in an octave is a mathematical and musical design problem, and Euler’s ideas provide a key historical framework for it.

Topics

octave division, keyboard scales, harmonic structure, Leonhard Euler

Domains

number theory, harmonic analysis, ratio-based tuning, music theory, instrument design, keyboard construction

Methods

historical overview, comparative discussion, theoretical framing

Media

piano, keyboard instrument, musical scale

Source status

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