Oxford University Press, 2015. — 395 p.This book addresses the analysis of musical sounds from the viewpoint of someone at the intersection between physicists, engineers, piano technicians, and musicians. The study is structured into three parts. The reader is introduced to a variety of waves and a variety of ways of presenting, visualizing, and analyzing them in the first part. A tutorial on the tools used throughout the book accompanies this introduction. The mathematics behind the tools is left to the appendices. Part Two provides a graphical survey of the classical areas of acoustics that pertain to musical instruments: vibrating strings, bars, membranes, and plates. Part Three is devoted almost exclusively to the piano. Several two- and three-dimensional graphical tools are introduced to study various characteristics of pianos: individual notes and interactions among them, the missing fundamental, inharmonicity, tuning visualization, the different distribution of harmonic power for the various zones of the piano keyboard, and potential uses for quality control. These techniques are also briefly applied to other musical instruments studied in earlier parts of the book.Part 1 Some Basic Sound Waves and Some Simple Tools An Introduction to Some Elementary Waves The Basic Tools of Spectral Analysis Analysis of Several Common Musical Sounds Harmonics in Musical Sounds Part 2 A Visual Analysis of Vibrating Objects (Strings, Membranes, Bars, Plates) The Vibrating String The Vibrating Bar The Vibrating Membrane The Vibrating Plate Part 3 The Piano An Introduction to Pianos Some Individual Piano Notes and Their Interactions The Missing Fundamental Octave Stretching, Inharmonicity, and the Railsback Curve Beating, Unisons, and Tuning Two-Dimensional Graphical Metrics Three-Dimensional Graphical Metrics An Investigation into Hammer Knock and Key Striking Evaluation of a Wapin Bridge Conversion Similarities between Pianos and Repeatability of Data-Gathering Methods Two Metrics Applied to Other Instruments Use of the Metrics in Production and Development Defining and Understanding Piano Tone
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